Merge remote-tracking branch 'github/develop' into collected-small-fixes

cmake/CMakeLists.txt

@@ -322,6 +322,7 @@ set(STANDARD_PACKAGES
   REACTION
   REAXFF
   REPLICA
+  RHEO
   RIGID
   SCAFACOS
   SHOCK
@@ -426,6 +427,7 @@ pkg_depends(CG-DNA ASPHERE)
 pkg_depends(ELECTRODE KSPACE)
 pkg_depends(EXTRA-MOLECULE MOLECULE)
 pkg_depends(MESONT MOLECULE)
+pkg_depends(RHEO BPM)
 
 # detect if we may enable OpenMP support by default
 set(BUILD_OMP_DEFAULT OFF)
@@ -566,7 +568,7 @@ else()
 endif()
 
 foreach(PKG_WITH_INCL KSPACE PYTHON ML-IAP VORONOI COLVARS ML-HDNNP MDI MOLFILE NETCDF
-        PLUMED QMMM ML-QUIP SCAFACOS MACHDYN VTK KIM COMPRESS ML-PACE LEPTON)
+        PLUMED QMMM ML-QUIP SCAFACOS MACHDYN VTK KIM COMPRESS ML-PACE LEPTON RHEO)
   if(PKG_${PKG_WITH_INCL})
     include(Packages/${PKG_WITH_INCL})
   endif()

cmake/Modules/Packages/RHEO.cmake

@@ -0,0 +1,2 @@
+find_package(GSL 2.7 REQUIRED)
+target_link_libraries(lammps PRIVATE GSL::gsl)

cmake/presets/all_off.cmake

@@ -82,6 +82,7 @@ set(ALL_PACKAGES
   REACTION
   REAXFF
   REPLICA
+  RHEO
   RIGID
   SCAFACOS
   SHOCK

cmake/presets/all_on.cmake

@@ -84,6 +84,7 @@ set(ALL_PACKAGES
   REACTION
   REAXFF
   REPLICA
+  RHEO
   RIGID
   SCAFACOS
   SHOCK

doc/src/Build_extras.rst

@@ -59,6 +59,7 @@ This is the list of packages that may require additional steps.
    * :ref:`POEMS <poems>`
    * :ref:`PYTHON <python>`
    * :ref:`QMMM <qmmm>`
+   * :ref:`RHEO <rheo>`
    * :ref:`SCAFACOS <scafacos>`
    * :ref:`VORONOI <voronoi>`
    * :ref:`VTK <vtk>`
@@ -1566,10 +1567,11 @@ LAMMPS build.
    .. tab:: CMake build
 
       When the ``-D PKG_PLUMED=yes`` flag is included in the cmake
-      command you must ensure that GSL is installed in locations that
+      command you must ensure that `the GNU Scientific Library (GSL)
-      are specified in your environment.  There are then two additional
+      <https://www.gnu.org/software/gsl/>` is installed in locations
-      variables that control the manner in which PLUMED is obtained and
+      that are accessible in your environment.  There are then two
-      linked into LAMMPS.
+      additional variables that control the manner in which PLUMED is
+      obtained and linked into LAMMPS.
 
       .. code-block:: bash
 
@@ -2040,6 +2042,36 @@ verified to work in February 2020 with Quantum Espresso versions 6.3 to
 
 ----------
 
+.. _rheo:
+
+RHEO package
+------------
+
+To build with this package you must have the `GNU Scientific Library
+(GSL) <https://www.gnu.org/software/gsl/>` installed in locations that
+are accessible in your environment.  The GSL library should be at least
+version 2.7.
+
+.. tabs::
+
+   .. tab:: CMake build
+
+      If CMake cannot find the GSL library or include files, you can set:
+
+      .. code-block:: bash
+
+         -D GSL_ROOT_DIR=path    # path to root of GSL installation
+
+   .. tab:: Traditional make
+
+      LAMMPS will try to auto-detect the GSL compiler and linker flags
+      from the corresponding ``pkg-config`` file (``gsl.pc``), otherwise
+      you can edit the file ``lib/rheo/Makefile.lammps``
+      to specify the paths and library names where indicated by comments.
+      This must be done **before** the package is installed.
+
+----------
+
 .. _scafacos:
 
 SCAFACOS package

doc/src/Build_package.rst

@@ -62,6 +62,7 @@ packages:
    * :ref:`POEMS <poems>`
    * :ref:`PYTHON <python>`
    * :ref:`QMMM <qmmm>`
+   * :ref:`RHEO <rheo>`
    * :ref:`SCAFACOS <scafacos>`
    * :ref:`VORONOI <voronoi>`
    * :ref:`VTK <vtk>`

doc/src/Commands_bond.rst

@@ -54,6 +54,7 @@ OPT.
    * :doc:`oxdna2/fene <bond_oxdna>`
    * :doc:`oxrna2/fene <bond_oxdna>`
    * :doc:`quartic (o) <bond_quartic>`
+   * :doc:`rheo/shell <bond_rheo_shell>`
    * :doc:`special <bond_special>`
    * :doc:`table (o) <bond_table>`
 

doc/src/Commands_compute.rst

@@ -126,6 +126,7 @@ KOKKOS, o = OPENMP, t = OPT.
    * :doc:`reduce <compute_reduce>`
    * :doc:`reduce/chunk <compute_reduce_chunk>`
    * :doc:`reduce/region <compute_reduce>`
+   * :doc:`rheo/property/atom <compute_rheo_property_atom>`
    * :doc:`rigid/local <compute_rigid_local>`
    * :doc:`saed <compute_saed>`
    * :doc:`slcsa/atom <compute_slcsa_atom>`

doc/src/Commands_fix.rst

@@ -28,6 +28,7 @@ OPT.
    * :doc:`adapt <fix_adapt>`
    * :doc:`adapt/fep <fix_adapt_fep>`
    * :doc:`addforce <fix_addforce>`
+   * :doc:`add/heat <fix_add_heat>`
    * :doc:`addtorque <fix_addtorque>`
    * :doc:`alchemy <fix_alchemy>`
    * :doc:`amoeba/bitorsion <fix_amoeba_bitorsion>`
@@ -204,6 +205,11 @@ OPT.
    * :doc:`reaxff/species (k) <fix_reaxff_species>`
    * :doc:`recenter <fix_recenter>`
    * :doc:`restrain <fix_restrain>`
+   * :doc:`rheo <fix_rheo>`
+   * :doc:`rheo/oxidation <fix_rheo_oxidation>`
+   * :doc:`rheo/pressure <fix_rheo_pressure>`
+   * :doc:`rheo/thermal <fix_rheo_thermal>`
+   * :doc:`rheo/viscosity <fix_rheo_viscosity>`
    * :doc:`rhok <fix_rhok>`
    * :doc:`rigid (o) <fix_rigid>`
    * :doc:`rigid/meso <fix_rigid_meso>`

doc/src/Commands_pair.rst

@@ -264,6 +264,8 @@ OPT.
    * :doc:`rebo (io) <pair_airebo>`
    * :doc:`rebomos (o) <pair_rebomos>`
    * :doc:`resquared (go) <pair_resquared>`
+   * :doc:`rheo <pair_rheo>`
+   * :doc:`rheo/solid <pair_rheo_solid>`
    * :doc:`saip/metal (t) <pair_saip_metal>`
    * :doc:`sdpd/taitwater/isothermal <pair_sdpd_taitwater_isothermal>`
    * :doc:`smatb <pair_smatb>`

doc/src/Examples.rst

@@ -134,6 +134,8 @@ Lowercase directories
 +-------------+------------------------------------------------------------------+
 | rerun       | use of rerun and read_dump commands                              |
 +-------------+------------------------------------------------------------------+
+| rheo        | RHEO simulations of fluid flows and phase transitions            |
++-------------+------------------------------------------------------------------+
 | rigid       | rigid bodies modeled as independent or coupled                   |
 +-------------+------------------------------------------------------------------+
 | shear       | sideways shear applied to 2d solid, with and without a void      |

doc/src/Howto.rst

@@ -89,6 +89,7 @@ Packages howto
    Howto_drude2
    Howto_peri
    Howto_manifold
+   Howto_rheo
    Howto_spins
 
 Tutorials howto

doc/src/Howto_rheo.rst

@@ -0,0 +1,116 @@
+Reproducing hydrodynamics and elastic objects (RHEO)
+====================================================
+
+The RHEO package is a hybrid implementation of smoothed particle
+hydrodynamics (SPH) for fluid flow, which can couple to the :doc:`BPM package
+<Howto_bpm>` to model solid elements. RHEO combines these methods to enable
+mesh-free modeling of multi-phase material systems. Its SPH solver supports
+many advanced options including reproducing kernels, particle shifting, free
+surface identification, and solid surface reconstruction. To model fluid-solid
+systems, the status of particles can dynamically change between a fluid and
+solid state, e.g. during melting/solidification, which determines how they
+interact and their physical behavior. The package is designed with modularity
+in mind, so one can easily turn various features on/off, adjust physical
+details of the system, or develop new capabilities. For instance, the numerics
+associated with calculating gradients, reproducing kernels, etc. are separated
+into distinctclasses to simplify the development of new integration schemes
+which can call these calculations. Additional numerical details can be found in
+:ref:`(Palermo) <howto_rheo_palermo>` and
+:ref:`(Clemmer) <howto_rheo_clemmer>`.
+
+Note, if you simply want to run a traditional SPH simulation, the :ref:`SPH package
+<PKG-SPH>` package is likely better suited for your application. It has fewer advanced
+features and therefore benefits from improved performance. The :ref:`MACHDYN
+<PKG-MACHDYN>` package for solids may also be relevant for fluid-solid problems.
+
+----------
+
+At the core of the package is :doc:`fix rheo <fix_rheo>` which integrates
+particle trajectories and controls many optional features (e.g. the use
+of reproducing kernels). In conjunction to fix rheo, one must specify an
+instance of :doc:`fix rheo/pressure <fix_rheo_pressure>` and
+:doc:`fix rheo/viscosity <fix_rheo_viscosity>` to define a pressure equation
+of state and viscosity model, respectively. Optionally, one can model
+a heat equation with :doc:`fix rheo/thermal <fix_rheo_thermal>`, which also
+allows the user to specify equations for a particle's thermal conductivity,
+specific heat, latent heat, and melting temperature. The ordering of these
+fixes in an an input script matters. Fix rheo must be defined prior to all
+other RHEO fixes.
+
+Typically, RHEO requires atom style rheo. In addition to typical atom
+properties like positions and forces, particles store a local density,
+viscosity, pressure, and status. If thermal evolution is modeled, one must
+use atom style rheo/thermal which also includes a local energy, temperature, and
+conductivity. Note that the temperature is always derived from the energy.
+This implies the *temperature* attribute of :doc:`the set command <set>` does not
+affect particles. Instead, one should use the *sph/e* attribute.
+
+The status variable uses bit-masking to track various properties of a particle
+such as its current state of matter (fluid or solid) and its location relative
+to a surface. Some of these properties (and others) can be accessed using
+:doc:`compute rheo/property/atom <compute_rheo_property_atom>`. The *status*
+attribute in :doc:`the set command <set>` only allows control over the first bit
+which sets the state of matter, 0 is fluid and 1 is solid.
+
+Fluid interactions, including pressure forces, viscous forces, and heat exchange,
+are calculated using :doc:`pair rheo <pair_rheo>`. Unlike typical pair styles,
+pair rheo ignores the :doc:`special bond <special_bonds>` settings. Instead,
+it determines whether to calculate forces based on the status of particles: e.g.,
+hydrodynamic forces are only calculated if a fluid particle is involved.
+
+----------
+
+To model elastic objects, there are currently two mechanisms in RHEO, one designed
+for bulk solid bodies and the other for thin shells. Both mechanisms rely on
+introducing bonded forces between particles and therefore require a hybrid of atom
+style bond and rheo (or rheo/thermal).
+
+To create an elastic solid body, one has to (a) change the status of constituent
+particles to solid (e.g. with the :doc:`set <set>` command), (b) create bpm
+bonds between the particles (see the :doc:`bpm howto <Howto_bpm>` page for
+more details), and (c) use :doc:`pair rheo/solid <pair_rheo_solid>` to
+apply repulsive contact forces between distinct solid bodies. Akin to pair rheo,
+pair rheo/solid considers a particles fluid/solid phase to determine whether to
+apply forces. However, unlike pair rheo, pair rheo/solid does obey special bond
+settings such that contact forces do not have to be calculated between two bonded
+solid particles in the same elastic body.
+
+In systems with thermal evolution, fix rheo/thermal can optionally set a
+melting/solidification temperature allowing particles to dynamically swap their
+state between fluid and solid when the temperature exceeds or drops below the
+critical temperature, respectively. Using the *react* option, one can specify a maximum
+bond length and a bond type. Then, when solidifying, particles will search their
+local neighbors and automatically create bonds with any neighboring solid particles
+in range. For BPM bond styles, bonds will then use the immediate position of the two
+particles to calculate a reference state. When melting, particles will delete any
+bonds of the specified type when reverting to a fluid state. Special bonds are updated
+as bonds are created/broken.
+
+The other option for elastic objects is an elastic shell that is nominally much
+thinner than a particle diameter, e.g. a oxide skin which gradually forms over time
+on the surface of a fluid. Currently, this is implemented using
+:doc:`fix rheo/oxidation <fix_rheo_oxidation>` and bond style
+:doc:`rheo/shell <bond_rheo_shell>`. Essentially, fix rheo/oxidation creates candidate
+bonds of a specified type between surface fluid particles within a specified distance.
+a newly created rheo/shell bond will then start a timer. While the timer is counting
+down, the bond will delete itself if particles move too far apart or move away from the
+surface. However, if the timer reaches a user-defined threshold, then the bond will
+activate and apply additional forces to the fluid particles. Bond style rheo/shell
+then operates very similarly to a BPM bond style, storing a reference length and
+breaking if stretched too far. Unlike the above method, this option does not remove
+the underlying fluid interactions (although particle shifting is turned off) and does
+not modify special bond settings of particles.
+
+While these two options are not expected to be appropriate for every system,
+either framework can be modified to create more suitable models (e.g. by changing the
+criteria for creating/deleting a bond or altering force calculations).
+
+----------
+
+.. _howto_rheo_palermo:
+
+**(Palermo)** Palermo, Wolf, Clemmer, O'Connor, in preparation.
+
+.. _howto_rheo_clemmer:
+
+**(Clemmer)** Clemmer, Pierce, O'Connor, Nevins, Jones, Lechman, Tencer, Appl. Math. Model., 130, 310-326 (2024).

doc/src/Packages_details.rst

@@ -8,12 +8,12 @@ info on how to download or build any extra library it requires.  It also
 gives links to documentation, example scripts, and pictures/movies (if
 available) that illustrate use of the package.
 
-The majority of packages can be included in a LAMMPS build with a
+The majority of packages can be included in a LAMMPS build with a single
-single setting (``-D PKG_<NAME>=on`` for CMake) or command
+setting (``-D PKG_<NAME>=on`` for CMake) or command (``make yes-<name>``
-(``make yes-<name>`` for make).  See the :doc:`Build package <Build_package>`
+for make).  See the :doc:`Build package <Build_package>` page for more
-page for more info.  A few packages may require additional steps;
+info.  A few packages may require additional steps; this is indicated in
-this is indicated in the descriptions below.  The :doc:`Build extras <Build_extras>`
+the descriptions below.  The :doc:`Build extras <Build_extras>` page
-page gives those details.
+gives those details.
 
 .. note::
 
@@ -103,6 +103,7 @@ page gives those details.
    * :ref:`QEQ <PKG-QEQ>`
    * :ref:`QMMM <PKG-QMMM>`
    * :ref:`QTB <PKG-QTB>`
+   * :ref:`RHEO <PKG-RHEO>`
    * :ref:`REACTION <PKG-REACTION>`
    * :ref:`REAXFF <PKG-REAXFF>`
    * :ref:`REPLICA <PKG-REPLICA>`
@@ -2622,6 +2623,45 @@ another set.
 
 ----------
 
+.. _PKG-RHEO:
+
+RHEO package
+------------
+
+**Contents:**
+
+Pair styles, bond styles, fixes, and computes for reproducing
+hydrodynamics and elastic objects. See the :doc:`Howto rheo
+<Howto_rheo>` page for an overview.
+
+**Install:**
+
+This package has :ref:`specific installation instructions <rheo>` on the :doc:`Build extras <Build_extras>` page.
+
+**Authors:** Joel T. Clemmer (Sandia National Labs),
+Thomas C. O'Connor (Carnegie Mellon University)
+
+.. versionadded:: TBD
+
+**Supporting info:**
+
+* src/RHEO filenames -> commands
+* :doc:`Howto_rheo <Howto_rheo>`
+* :doc:`atom_style rheo <atom_style>`
+* :doc:`atom_style rheo/thermal <atom_style>`
+* :doc:`bond_style rheo/shell <bond_rheo_shell>`
+* :doc:`compute rheo/property/atom <compute_rheo_property_atom>`
+* :doc:`fix rheo <fix_rheo>`
+* :doc:`fix rheo/oxidation <fix_rheo_oxidation>`
+* :doc:`fix rheo/pressure <fix_rheo_pressure>`
+* :doc:`fix rheo/thermal <fix_rheo_thermal>`
+* :doc:`fix rheo/viscosity <fix_rheo_viscosity>`
+* :doc:`pair_style rheo <pair_rheo>`
+* :doc:`pair_style rheo/solid <pair_rheo_solid>`
+* examples/rheo
+
+----------
+
 .. _PKG-RIGID:
 
 RIGID package

doc/src/Packages_list.rst

@@ -413,6 +413,11 @@ whether an extra library is needed to build and use the package:
      - :doc:`fix qtb <fix_qtb>` :doc:`fix qbmsst <fix_qbmsst>`
      - qtb
      - no
+   * - :ref:`RHEO <PKG-RHEO>`
+     - reproducing hydrodynamics and elastic objects
+     - :doc:`Howto rheo <Howto_rheo>`
+     - rheo
+     - no
    * - :ref:`REACTION <PKG-REACTION>`
      - chemical reactions in classical MD
      - :doc:`fix bond/react <fix_bond_react>`

doc/src/atom_style.rst

@@ -189,6 +189,14 @@ the Additional Information section below.
      - *atomic* + molecule, radius, rmass + "smd data"
      - :ref:`MACHDYN <PKG-MACHDYN>`
      - Smooth Mach Dynamics models
+   * - *rheo*
+     - *atomic* + rho, status
+     - :ref:`RHEO <PKG-RHEO>`
+     - solid and fluid RHEO particles
+   * - *rheo/thermal*
+     - *atomic* + rho, status, energy, temperature
+     - :ref:`RHEO <PKG-RHEO>`
+     - RHEO particles with temperature
    * - *sph*
      - *atomic* + "sph data"
      - :ref:`SPH <PKG-SPH>`

doc/src/bond_rheo_shell.rst

@@ -0,0 +1,188 @@
+.. index:: bond_style rheo/shell
+
+bond_style rheo/shell command
+=============================
+
+Syntax
+""""""
+
+.. code-block:: LAMMPS
+
+   bond_style rheo/shell keyword value attribute1 attribute2 ...
+
+* required keyword = *t/form*
+* optional keyword = *store/local*
+
+  .. parsed-literal::
+
+       *t/form* value = formation time for a bond (time units)
+
+       *store/local* values = fix_ID N attributes ...
+          * fix_ID = ID of associated internal fix to store data
+          * N = prepare data for output every this many timesteps
+          * attributes = zero or more of the below attributes may be appended
+
+            *id1, id2* = IDs of 2 atoms in the bond
+            *time* = the timestep the bond broke
+            *x, y, z* = the center of mass position of the 2 atoms when the bond broke (distance units)
+            *x/ref, y/ref, z/ref* = the initial center of mass position of the 2 atoms (distance units)
+
+Examples
+""""""""
+
+.. code-block:: LAMMPS
+
+   bond_style rheo/shell t/form 10.0
+   bond_coeff 1 1.0 0.05 0.1
+
+Description
+"""""""""""
+
+.. versionadded:: TBD
+
+The *rheo/shell* bond style is designed to work with
+:doc:`fix rheo/oxidation <fix_rheo_oxidation>` which creates candidate
+bonds between eligible surface or near-surface particles. When a bond
+is first created, it computes no forces and starts a timer. Forces are
+not computed until the timer reaches the specified bond formation time,
+*t/form*, and the bond is enabled and applies forces. If the two particles
+move outside of the maximum bond distance or move into the bulk before
+the timer reaches *t/form*, the bond automatically deletes itself. This
+deletion is not recorded as a broken bond in the optional *store/local* fix.
+
+Before bonds are enabled, they are still treated as regular bonds by
+all other parts of LAMMPS. This means they are written to data files
+and counted in computes such as :doc:`nbond/atom <compute_nbond_atom>`.
+To only count enabled bonds, use the *nbond/shell* attribute in
+:doc:`compute rheo/property/atom <compute_rheo_property_atom>`.
+
+When enabled, the bond then computes forces based on deviations from
+the initial reference state of the two atoms much like a BPM style
+bond (as further discussed in the :doc:`BPM howto page <Howto_bpm>`).
+The reference state is stored by each bond when it is first enabled.
+Data is then preserved across run commands and is written to
+:doc:`binary restart files <restart>` such that restarting the system
+will not reset the reference state of a bond or the timer.
+
+This bond style is based on a model described in
+:ref:`(Clemmer) <rheo_clemmer>`. The force has a magnitude of
+
+.. math::
+
+   F = 2 k (r - r_0) + \frac{2 k}{r_0^2 \epsilon_c^2} (r - r_0)^3
+
+where :math:`k` is a stiffness, :math:`r` is the current distance
+and :math:`r_0` is the initial distance between the two particles, and
+:math:`\epsilon_c` is maximum strain beyond which a bond breaks. This
+is done by setting the bond type to 0 such that forces are no longer
+computed.
+
+A damping force proportional to the difference in the normal velocity
+of particles is also applied to bonded particles:
+
+.. math::
+
+   F_D = - \gamma w (\hat{r} \bullet \vec{v})
+
+where :math:`\gamma` is the damping strength, :math:`\hat{r}` is the
+displacement normal vector, and :math:`\vec{v}` is the velocity difference
+between the two particles.
+
+The following coefficients must be defined for each bond type via the
+:doc:`bond_coeff <bond_coeff>` command as in the example above, or in
+the data file or restart files read by the :doc:`read_data
+<read_data>` or :doc:`read_restart <read_restart>` commands:
+
+* :math:`k`             (force/distance units)
+* :math:`\epsilon_c`    (unit less)
+* :math:`\gamma`        (force/velocity units)
+
+Unlike other BPM-style bonds, this bond style does not update special
+bond settings when bonds are created or deleted. This bond style also
+does not enforce specific :doc:`special_bonds <special_bonds>` settings.
+This behavior is purposeful such :doc:`RHEO pair <pair_rheo>` forces
+and heat flows are still calculated.
+
+If the *store/local* keyword is used, an internal fix will track bonds that
+break during the simulation. Whenever a bond breaks, data is processed
+and transferred to an internal fix labeled *fix_ID*. This allows the
+local data to be accessed by other LAMMPS commands. Following this optional
+keyword, a list of one or more attributes is specified.  These include the
+IDs of the two atoms in the bond. The other attributes for the two atoms
+include the timestep during which the bond broke and the current/initial
+center of mass position of the two atoms.
+
+Data is continuously accumulated over intervals of *N*
+timesteps. At the end of each interval, all of the saved accumulated
+data is deleted to make room for new data. Individual datum may
+therefore persist anywhere between *1* to *N* timesteps depending on
+when they are saved. This data can be accessed using the *fix_ID* and a
+:doc:`dump local <dump>` command. To ensure all data is output,
+the dump frequency should correspond to the same interval of *N*
+timesteps. A dump frequency of an integer multiple of *N* can be used
+to regularly output a sample of the accumulated data.
+
+Note that when unbroken bonds are dumped to a file via the
+:doc:`dump local <dump>` command, bonds with type 0 (broken bonds)
+are not included.
+The :doc:`delete_bonds <delete_bonds>` command can also be used to
+query the status of broken bonds or permanently delete them, e.g.:
+
+.. code-block:: LAMMPS
+
+   delete_bonds all stats
+   delete_bonds all bond 0 remove
+
+----------
+
+Restart and other info
+"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""
+
+This bond style writes the reference state of each bond to
+:doc:`binary restart files <restart>`. Loading a restart
+file will properly restore bonds. However, the reference state is NOT
+written to data files. Therefore reading a data file will not
+restore bonds and will cause their reference states to be redefined.
+
+If the *store/local* option is used, an internal fix will calculate
+a local vector or local array depending on the number of input values.
+The length of the vector or number of rows in the array is the number
+of recorded, broken bonds.  If a single input is specified, a local
+vector is produced. If two or more inputs are specified, a local array
+is produced where the number of columns = the number of inputs.  The
+vector or array can be accessed by any command that uses local values
+from a compute as input. See the :doc:`Howto output <Howto_output>` page
+for an overview of LAMMPS output options.
+
+The vector or array will be floating point values that correspond to
+the specified attribute.
+
+The single() function of this bond style returns 0.0 for the energy
+of a bonded interaction, since energy is not conserved in these
+dissipative potentials.  The single() function also calculates two
+extra bond quantities, the initial distance :math:`r_0` and a time.
+These extra quantities can be accessed by the
+:doc:`compute bond/local <compute_bond_local>` command as *b1* and *b2*\ .
+
+Restrictions
+""""""""""""
+
+This bond style is part of the RHEO package.  It is only enabled if
+LAMMPS was built with that package.  See the :doc:`Build package
+<Build_package>` page for more info.
+
+Related commands
+""""""""""""""""
+
+:doc:`bond_coeff <bond_coeff>`, :doc:`fix rheo/oxidation <fix_rheo_oxidation>`
+
+Default
+"""""""
+
+NA
+
+----------
+
+.. _rheo_clemmer:
+
+**(Clemmer)** Clemmer, Pierce, O'Connor, Nevins, Jones, Lechman, Tencer, Appl. Math. Model., 130, 310-326 (2024).

doc/src/bond_style.rst

@@ -105,6 +105,7 @@ accelerated styles exist.
 * :doc:`oxdna2/fene <bond_oxdna>` - same as oxdna but used with different pair styles
 * :doc:`oxrna2/fene <bond_oxdna>` - modified FENE bond suitable for RNA modeling
 * :doc:`quartic <bond_quartic>` - breakable quartic bond
+* :doc:`rheo/shell <bond_rheo_shell>` - shell bond for oxidation modeling in RHEO
 * :doc:`special <bond_special>` - enable special bond exclusions for 1-5 pairs and beyond
 * :doc:`table <bond_table>` - tabulated by bond length
 

doc/src/compute.rst

@@ -290,6 +290,7 @@ The individual style names on the :doc:`Commands compute <Commands_compute>` pag
 * :doc:`reduce <compute_reduce>` - combine per-atom quantities into a single global value
 * :doc:`reduce/chunk <compute_reduce_chunk>` - reduce per-atom quantities within each chunk
 * :doc:`reduce/region <compute_reduce>` - same as compute reduce, within a region
+* :doc:`rheo/property/atom <compute_rheo_property_atom>` - convert atom attributes in RHEO package to per-atom vectors/arrays
 * :doc:`rigid/local <compute_rigid_local>` - extract rigid body attributes
 * :doc:`saed <compute_saed>` - electron diffraction intensity on a mesh of reciprocal lattice nodes
 * :doc:`slcsa/atom <compute_slcsa_atom>` - perform Supervised Learning Crystal Structure Analysis (SL-CSA)

doc/src/compute_nbond_atom.rst

@@ -8,10 +8,17 @@ Syntax
 
 .. code-block:: LAMMPS
 
-   compute ID group-ID nbond/atom
+   compute ID group-ID nbond/atom keyword value
 
 * ID, group-ID are documented in :doc:`compute <compute>` command
 * nbond/atom = style name of this compute command
+* zero or more keyword/value pairs may be appended
+* keyword = *bond/type*
+
+  .. parsed-literal::
+
+       *bond/type* value = *btype*
+         *btype* = bond type included in count
 
 Examples
 """"""""
@@ -19,6 +26,7 @@ Examples
 .. code-block:: LAMMPS
 
    compute 1 all nbond/atom
+   compute 1 all nbond/atom bond/type 2
 
 Description
 """""""""""
@@ -31,6 +39,9 @@ the :doc:`Howto broken bonds <Howto_bpm>` page for more information.
 The number of bonds will be zero for atoms not in the specified
 compute group. This compute does not depend on Newton bond settings.
 
+If the keyword *bond/type* is specified, only bonds of *btype* are
+counted.
+
 Output info
 """""""""""
 

doc/src/compute_rheo_property_atom.rst

@@ -0,0 +1,143 @@
+.. index:: compute rheo/property/atom
+
+compute rheo/property/atom command
+==================================
+
+Syntax
+""""""
+
+.. code-block:: LAMMPS
+
+   compute ID group-ID rheo/property/atom input1 input2 ...
+
+* ID, group-ID are documented in :doc:`compute <compute>` command
+* rheo/property/atom = style name of this compute command
+* input = one or more atom attributes
+
+  .. parsed-literal::
+
+       possible attributes = phase, surface, surface/r,
+                             surface/divr, surface/n/a, coordination,
+                             shift/v/a, energy, temperature, heatflow,
+                             conductivity, cv, viscosity, pressure, rho,
+                             grad/v/ab, stress/v/ab, stress/t/ab, nbond/shell
+
+  .. parsed-literal::
+
+           *phase* = atom phase state
+           *surface* = atom surface status
+           *surface/r* = atom distance from the surface
+           *surface/divr* = divergence of position at atom position
+           *surface/n/a* = a-component of surface normal vector
+           *coordination* = coordination number
+           *shift/v/a* = a-component of atom shifting velocity
+           *energy* = atom energy
+           *temperature* = atom temperature
+           *heatflow* = atom heat flow
+           *conductivity* = atom conductivity
+           *cv* = atom specific heat
+           *viscosity* = atom viscosity
+           *pressure* = atom pressure
+           *rho* = atom density
+           *grad/v/ab* = ab-component of atom velocity gradient tensor
+           *stress/v/ab* = ab-component of atom viscous stress tensor
+           *stress/t/ab* = ab-component of atom total stress tensor (pressure and viscous)
+           *nbond/shell* = number of oxide bonds
+
+Examples
+""""""""
+
+.. code-block:: LAMMPS
+
+   compute 1 all rheo/property/atom phase surface/r surface/n/* pressure
+   compute 2 all rheo/property/atom shift/v/x grad/v/xx stress/v/*
+
+Description
+"""""""""""
+
+.. versionadded:: TBD
+
+Define a computation that stores atom attributes specific to the RHEO
+package for each atom in the group.  This is useful so that the values
+can be used by other :doc:`output commands <Howto_output>` that take
+computes as inputs. See for example, the
+:doc:`compute reduce <compute_reduce>`,
+:doc:`fix ave/atom <fix_ave_atom>`,
+:doc:`fix ave/histo <fix_ave_histo>`,
+:doc:`fix ave/chunk <fix_ave_chunk>`, and
+:doc:`atom-style variable <variable>` commands.
+
+For vector attributes, e.g. *shift/v/*:math:`\alpha`, one must specify
+:math:`\alpha` as the *x*, *y*, or *z* component, e.g. *shift/v/x*.
+Alternatively, a wild card \* will include all components, *x* and *y* in
+2D or *x*, *y*, and *z* in 3D.
+
+For tensor attributes, e.g. *grad/v/*:math:`\alpha \beta`, one must specify
+both :math:`\alpha` and :math:`\beta` as  *x*, *y*, or *z*, e.g. *grad/v/xy*.
+Alternatively, a wild card \* will include all components. In 2D, this
+includes *xx*, *xy*, *yx*, and *yy*. In 3D, this includes *xx*, *xy*, *xz*,
+*yx*, *yy*, *yz*, *zx*, *zy*, and *zz*.
+
+Many properties require their respective fixes, listed below in related
+commands, be defined. For instance, the *viscosity* attribute is the
+viscosity of a particle calculated by
+:doc:`fix rheo/viscous <fix_rheo_viscosity>`. The meaning of less obvious
+properties is described below.
+
+The *phase* property indicates whether the particle is in a fluid state,
+a value of 0, or a solid state, a value of 1.
+
+The *surface* property indicates the surface designation produced by
+the *interface/reconstruct* option of :doc:`fix rheo <fix_rheo>`. Bulk
+particles have a value of 0, surface particles have a value of 1, and
+splash particles have a value of 2. The *surface/r* property is the
+distance from the surface, up to the kernel cutoff length. Surface particles
+have a value of 0. The *surface/n/*:math:`\alpha` properties are the
+components of the surface normal vector.
+
+The *shift/v/*:math:`\alpha` properties are the components of the shifting
+velocity produced by the *shift* option of :doc:`fix rheo <fix_rheo>`.
+
+The *nbond/shell* property is the number of shell bonds that have been
+activated from :doc:`bond style rheo/shell <bond_rheo_shell>`.
+
+The values are stored in a per-atom vector or array as discussed
+below.  Zeroes are stored for atoms not in the specified group or for
+quantities that are not defined for a particular particle in the group
+
+Output info
+"""""""""""
+
+This compute calculates a per-atom vector or per-atom array depending
+on the number of input values.  Generally, if a single input is specified,
+a per-atom vector is produced.  If two or more inputs are specified, a
+per-atom array is produced where the number of columns = the number of
+inputs. However, if a wild card \* is used for a vector or tensor, then
+the number of inputs is considered to be incremented by the dimension or
+the dimension squared, respectively. The vector or array can be accessed
+by any command that uses per-atom values from a compute as input.  See the
+:doc:`Howto output <Howto_output>` page for an overview of LAMMPS output
+options.
+
+The vector or array values will be in whatever :doc:`units <units>` the
+corresponding attribute is in (e.g., density units for *rho*).
+
+Restrictions
+""""""""""""
+ none
+
+Related commands
+""""""""""""""""
+
+:doc:`dump custom <dump>`, :doc:`compute reduce <compute_reduce>`,
+:doc:`fix ave/atom <fix_ave_atom>`, :doc:`fix ave/chunk <fix_ave_chunk>`,
+:doc:`fix rheo/viscosity <fix_rheo_viscosity>`,
+:doc:`fix rheo/pressure <fix_rheo_pressure>`,
+:doc:`fix rheo/thermal <fix_rheo_thermal>`,
+:doc:`fix rheo/oxdiation <fix_rheo_oxidation>`,
+:doc:`fix rheo <fix_rheo>`
+
+Default
+"""""""
+
+none

doc/src/fix.rst

@@ -193,6 +193,7 @@ accelerated styles exist.
 * :doc:`adapt <fix_adapt>` - change a simulation parameter over time
 * :doc:`adapt/fep <fix_adapt_fep>` - enhanced version of fix adapt
 * :doc:`addforce <fix_addforce>` - add a force to each atom
+* :doc:`add/heat <fix_add_heat>` - add a heat flux to each atom
 * :doc:`addtorque <fix_addtorque>` - add a torque to a group of atoms
 * :doc:`alchemy <fix_alchemy>` - perform an "alchemical transformation" between two partitions
 * :doc:`amoeba/bitorsion <fix_amoeba_bitorsion>` - torsion/torsion terms in AMOEBA force field
@@ -369,6 +370,11 @@ accelerated styles exist.
 * :doc:`reaxff/species <fix_reaxff_species>` - write out ReaxFF molecule information
 * :doc:`recenter <fix_recenter>` - constrain the center-of-mass position of a group of atoms
 * :doc:`restrain <fix_restrain>` - constrain a bond, angle, dihedral
+* :doc:`rheo <fix_rheo>` - integrator for the RHEO package
+* :doc:`rheo/thermal <fix_rheo_thermal>` - thermal integrator for the RHEO package
+* :doc:`rheo/oxidation <fix_rheo_oxidation>` - create oxidation bonds for the RHEO package
+* :doc:`rheo/pressure <fix_rheo_pressure>` - pressure calculation for the RHEO package
+* :doc:`rheo/viscosity <fix_rheo_pressure>` - viscosity calculation for the RHEO package
 * :doc:`rhok <fix_rhok>` - add bias potential for long-range ordered systems
 * :doc:`rigid <fix_rigid>` - constrain one or more clusters of atoms to move as a rigid body with NVE integration
 * :doc:`rigid/meso <fix_rigid_meso>` - constrain clusters of mesoscopic SPH/SDPD particles to move as a rigid body

doc/src/fix_add_heat.rst

@@ -0,0 +1,111 @@
+.. index:: fix add/heat
+
+fix add/heat command
+====================
+
+Syntax
+""""""
+
+.. code-block:: LAMMPS
+
+   fix ID group-ID add/heat style args keyword values ...
+
+* ID, group-ID are documented in :doc:`fix <fix>` command
+* add/heat = style name of this fix command
+* style = *constant* or *linear* or *quartic*
+
+  .. parsed-literal::
+
+       *constant* args = *rate*
+         *rate* = rate of heat flow (energy/time units)
+       *linear* args = :math:`T_{target}` *k*
+         :math:`T_{target}` = target temperature (temperature units)
+         *k* = prefactor (energy/(time*temperature) units)
+       *quartic* args = :math:`T_{target}` *k*
+         :math:`T_{target}` = target temperature (temperature units)
+         *k* = prefactor (energy/(time*temperature^4) units)
+
+* zero or more keyword/value pairs may be appended to args
+* keyword = *overwrite*
+
+  .. parsed-literal::
+
+       *overwrite* value = *yes* or *no*
+         *yes* = sets current heat flow of particle
+         *no* = adds to current heat flow of particle
+
+Examples
+""""""""
+
+.. code-block:: LAMMPS
+
+   fix 1 all add/heat constant v_heat
+   fix 1 all add/heat linear 10.0 1.0 overwrite yes
+
+Description
+"""""""""""
+
+This fix adds heat to particles with the temperature attribute every timestep.
+Note that this is an internal temperature of a particle intended for use with
+non-atomistic models like the discrete element method.
+
+For the *constant* style, heat is added at the specified rate. For the *linear* style,
+heat is added at a rate of :math:`k (T_{target} - T)` where :math:`k` is the
+specified prefactor, :math:`T_{target}` is the specified target temperature, and
+:math:`T` is the temperature of the atom. This may be more representative of a
+conductive process. For the *quartic* style, heat is added at a rate of
+:math:`k (T_{target}^4 - T^4)`, akin to radiative heat transfer.
+
+The rate or temperature can be can be specified as an equal-style or atom-style
+:doc:`variable <variable>`.  If the value is a variable, it should be
+specified as v_name, where name is the variable name.  In this case, the
+variable will be evaluated each time step, and its value will be used to
+determine the rate of heat added.
+
+Equal-style variables can specify formulas with various mathematical
+functions and include :doc:`thermo_style <thermo_style>` command
+keywords for the simulation box parameters, time step, and elapsed time
+to specify time-dependent heating.
+
+Atom-style variables can specify the same formulas as equal-style
+variables but can also include per-atom values, such as atom
+coordinates to specify spatially-dependent heating.
+
+If the *overwrite* keyword is set to *yes*, this fix will set the total
+heat flow on a particle every timestep, overwriting contributions from pair
+styles or other fixes. If *overwrite* is *no*, this fix will add heat on
+top of other contributions.
+
+----------
+
+Restart, fix_modify, output, run start/stop, minimize info
+""""""""""""""""""""""""""""""""""""""""""""""""""""""""""
+
+No information about this fix is written to :doc:`binary restart files <restart>`.
+None of the :doc:`fix_modify <fix_modify>` options are relevant to this fix.
+No global or per-atom quantities are stored by this fix for access by various
+:doc:`output commands <Howto_output>`. No parameter of this fix can be used
+with the *start/stop* keywords of the :doc:`run <run>` command.  This fix is
+not invoked during :doc:`energy minimization <minimize>`.
+
+Restrictions
+""""""""""""
+
+This pair style is part of the GRANULAR package.  It is
+only enabled if LAMMPS was built with that package.
+See the :doc:`Build package <Build_package>` page for more info.
+
+This fix requires that atoms store temperature and heat flow
+as defined by the :doc:`fix property/atom <fix_property_atom>` command.
+
+Related commands
+""""""""""""""""
+
+:doc:`fix heat/flow <fix_heat_flow>`,
+:doc:`fix property/atom <fix_property_atom>`,
+:doc:`fix rheo/thermal <fix_rheo_thermal>`
+
+Default
+"""""""
+
+The default for the *overwrite* keyword is *no*

doc/src/fix_heat_flow.rst

@@ -1,7 +1,7 @@
 .. index:: fix heat/flow
 
 fix heat/flow command
-==========================
+=====================
 
 Syntax
 """"""
@@ -56,13 +56,19 @@ not invoked during :doc:`energy minimization <minimize>`.
 Restrictions
 """"""""""""
 
+This pair style is part of the GRANULAR package.  It is
+only enabled if LAMMPS was built with that package.
+See the :doc:`Build package <Build_package>` page for more info.
+
 This fix requires that atoms store temperature and heat flow
 as defined by the :doc:`fix property/atom <fix_property_atom>` command.
 
 Related commands
 """"""""""""""""
 
-:doc:`pair granular <pair_granular>`, :doc:`fix property/atom <fix_property_atom>`
+:doc:`pair granular <pair_granular>`,
+:doc:`fix add/heat <fix_add_heat>`,
+:doc:`fix property/atom <fix_property_atom>`
 
 Default
 """""""

doc/src/fix_rheo.rst

@@ -0,0 +1,180 @@
+.. index:: fix rheo
+
+fix rheo command
+================
+
+Syntax
+""""""
+
+.. parsed-literal::
+
+   fix ID group-ID rheo cut kstyle zmin keyword values...
+
+* ID, group-ID are documented in :doc:`fix <fix>` command
+* rheo = style name of this fix command
+* cut = cutoff for the kernel (distance)
+* kstyle = *quintic* or *RK0* or *RK1* or *RK2*
+* zmin = minimal number of neighbors for reproducing kernels
+* zero or more keyword/value pairs may be appended to args
+* keyword = *thermal* or *interface/reconstruct* or *surface/detection* or
+            *shift* or *rho/sum* or *density* or *self/mass* or *speed/sound*
+
+  .. parsed-literal::
+
+       *thermal* values = none, turns on thermal evolution
+       *interface/reconstruct* values = none, reconstructs interfaces with solid particles
+       *surface/detection* values = *sdstyle* *limit* *limit/splash*
+         *sdstyle* = *coordination* or *divergence*
+         *limit* = threshold for surface particles
+         *limit/splash* = threshold for splash particles
+       *shift* values = none, turns on velocity shifting
+       *rho/sum* values = none, uses the kernel to compute the density of particles
+       *self/mass* values = none, a particle uses its own mass in a rho summation
+       *density* values = *rho01*, ... *rho0N* (density)
+       *speed/sound* values = *cs0*, ... *csN* (velocity)
+
+Examples
+""""""""
+
+.. code-block:: LAMMPS
+
+   fix 1 all rheo 3.0 quintic 0 thermal density 0.1 0.1 speed/sound 10.0 1.0
+   fix 1 all rheo 3.0 RK1 10 shift surface/detection coordination 40
+
+Description
+"""""""""""
+
+.. versionadded:: TBD
+
+Perform time integration for RHEO particles, updating positions, velocities,
+and densities. For a detailed breakdown of the integration timestep and
+numerical details, see :ref:`(Palermo) <rheo_palermo>`. For an
+overview of other features available in the RHEO package, see
+:doc:`the RHEO howto <Howto_rheo>`.
+
+The type of kernel is specified using *kstyle* and the cutoff is *cut*. Four
+kernels are currently available. The *quintic* kernel is a standard quintic
+spline function commonly used in SPH. The other options, *RK0*, *RK1*, and
+*RK2*, are zeroth, first, and second order reproducing. To generate a
+reproducing kernel, a particle must have sufficient neighbors inside the
+kernel cutoff distance (a coordination number) to accurately calculate
+moments. This threshold is set by *zmin*. If reproducing kernels are
+requested but a particle has fewer neighbors, then it will revert to a
+non-reproducing quintic kernel until it gains more neighbors.
+
+To model temperature evolution, one must specify the *thermal* keyword,
+define a separate instance of :doc:`fix rheo/thermal <fix_rheo_thermal>`,
+and use atom style rheo/thermal.
+
+By default, the density of solid RHEO particles does not evolve and forces
+with fluid particles are calculated using the current velocity of the solid
+particle. If the *interface/reconstruct* keyword is used, then the density
+and velocity of solid particles are alternatively reconstructed for every
+fluid-solid interaction to ensure no-slip and pressure-balanced boundaries.
+This is done by estimating the location of the fluid-solid interface and
+extrapolating fluid particle properties across the interface to calculate a
+temporary apparent density and velocity for a solid particle. The numerical
+details are the same as those described in
+:ref:`(Palermo) <howto_rheo_palermo>` except there is an additional
+restriction that the reconstructed solid density cannot be less than the
+equilibrium density. This prevents fluid particles from sticking to solid
+surfaces.
+
+A modified form of Fickian particle shifting can be enabled with the
+*shift* keyword. This effectively shifts particle positions to generate a
+more uniform spatial distribution. Shifting currently does not consider the
+type of a particle and therefore may be inappropriate in systems consisting
+of multiple fluid phases.
+
+In systems with free surfaces, the *surface/detection* keyword can be used
+to classify the location of particles as being within the bulk fluid, on a
+free surface, or isolated from other particles in a splash or droplet.
+Shifting is then disabled in the normal direction away from the free surface
+to prevent particles from diffusing away. Surface detection can also be used
+to control surface-nucleated effects like oxidation when used in combination
+with :doc:`fix rheo/oxidation <fix_rheo_oxidation>`. Surface detection is not
+performed on solid bodies.
+
+The *surface/detection* keyword takes three arguments: *sdstyle*, *limit*,
+and *limit/splash*. The first, *sdstyle*, specifies whether surface particles
+are identified using a coordination number (*coordination*) or the divergence
+of the local particle positions (*divergence*). The threshold value for a
+surface particle for either of these criteria is set by the numerical value
+of *limit*. Additionally, if a particle's coordination number is too low,
+i.e. if it has separated off from the bulk in a droplet, it is not possible
+to define surfaces and the particle is classified as a splash. The coordination
+threshold for this classification is set by the numerical value of
+*limit/splash*.
+
+By default, RHEO integrates particles' densities using a mass diffusion
+equation. Alternatively, one can update densities every timestep by performing
+a kernel summation of the masses of neighboring particles by specifying the *rho/sum*
+keyword.
+
+The *self/mass* keyword modifies the behavior of the density summation in *rho/sum*.
+Typically, the density :math:`\rho` of a particle is calculated as the sum over neighbors
+
+.. math::
+   \rho_i = \sum_{j} W_{ij} M_j
+
+where :math:`W_{ij}` is the kernel, and :math:`M_j` is the mass of particle :math:`j`.
+The *self/mass* keyword augments this expression by replacing :math:`M_j` with
+:math:`M_i`. This may be useful in simulations of multiple fluid phases with large
+differences in density, :ref:`(Hu) <fix_rheo_hu>`.
+
+The *density* keyword is used to specify the equilibrium density of each of the N
+particle types. It must be followed by N numerical values specifying each type's
+equilibrium density *rho0*.
+
+The *speed/sound* keyword is used to specify the speed of sound of each of the
+N particle types. It must be followed by N numerical values specifying each type's
+speed of sound *cs*.
+
+Restart, fix_modify, output, run start/stop, minimize info
+"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""
+
+No information about this fix is written to :doc:`binary restart files <restart>`.
+None of the :doc:`fix_modify <fix_modify>` options
+are relevant to this fix.  No global or per-atom quantities are stored
+by this fix for access by various :doc:`output commands <Howto_output>`.
+No parameter of this fix can be used with the *start/stop* keywords of
+the :doc:`run <run>` command.  This fix is not invoked during
+:doc:`energy minimization <minimize>`.
+
+Restrictions
+""""""""""""
+
+This fix must be used with atom style rheo or rheo/thermal. This fix must
+be used in conjunction with :doc:`fix rheo/pressure <fix_rheo_pressure>`.
+and :doc:`fix rheo/viscosity <fix_rheo_viscosity>`. If the *thermal* setting
+is used, there must also be an instance of
+:doc:`fix rheo/thermal <fix_rheo_thermal>`. The fix group must be set to all.
+Only one instance of fix rheo may be defined and it  must be defined prior
+to all other RHEO fixes in the input script.
+
+This fix is part of the RHEO package.  It is only enabled if LAMMPS was built
+with that package. See the :doc:`Build package <Build_package>` page for more info.
+
+Related commands
+""""""""""""""""
+
+:doc:`fix rheo/viscosity <fix_rheo_viscosity>`,
+:doc:`fix rheo/pressure <fix_rheo_pressure>`,
+:doc:`fix rheo/thermal <fix_rheo_thermal>`,
+:doc:`pair rheo <pair_rheo>`,
+:doc:`compute rheo/property/atom <compute_rheo_property_atom>`
+
+Default
+"""""""
+
+*rho0* and *cs* are set to 1.0 for all atom types.
+
+----------
+
+.. _rheo_palermo:
+
+**(Palermo)** Palermo, Wolf, Clemmer, O'Connor, in preparation.
+
+.. _fix_rheo_hu:
+
+**(Hu)** Hu, and Adams J. Comp. Physics, 213, 844-861 (2006).

doc/src/fix_rheo_oxidation.rst

@@ -0,0 +1,85 @@
+.. index:: fix rheo/oxidation
+
+fix rheo/oxidation command
+==========================
+
+Syntax
+""""""
+
+.. parsed-literal::
+
+   fix ID group-ID rheo/oxidation cut btype rsurf
+
+* ID, group-ID are documented in :doc:`fix <fix>` command
+* rheo/oxidation = style name of this fix command
+* cut = maximum bond length (distance units)
+* btype = type of bonds created
+* rsurf = distance from surface to create bonds (distance units)
+
+Examples
+""""""""
+
+.. code-block:: LAMMPS
+
+   fix 1 all rheo/oxidation 1.5 2 0.0
+   fix 1 all rheo/oxidation 1.0 1 2.0
+
+Description
+"""""""""""
+
+.. versionadded:: TBD
+
+This fix dynamically creates bonds on the surface of fluids to
+represent physical processes such as oxidation. It is intended
+for use with bond style :doc:`bond rheo/shell <bond_rheo_shell>`.
+
+Every timestep, particles check neighbors within a distance of *cut*.
+This distance must be smaller than the kernel length defined in
+:doc:`fix rheo <fix_rheo>`. Bonds of type *btype* are created between
+a fluid particle and either a fluid or solid neighbor. The fluid particles
+must also be on the fluid surface, or within a distance of *rsurf* from
+the surface. This process is further described in
+:ref:`(Clemmer) <howto_rheo_clemmer2>`.
+
+If used in conjunction with solid bodies, such as those generated
+by the *react* option of :doc:`fix rheo/thermal <fix_rheo_thermal>`,
+it is recommended to use a :doc:`hybrid bond style <bond_hybrid>`
+with different bond types for solid and oxide bonds.
+
+Restart, fix_modify, output, run start/stop, minimize info
+"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""
+
+No information about this fix is written to :doc:`binary restart files <restart>`.
+None of the :doc:`fix_modify <fix_modify>` options
+are relevant to this fix.  No global or per-atom quantities are stored
+by this fix for access by various :doc:`output commands <Howto_output>`.
+No parameter of this fix can be used with the *start/stop* keywords of
+the :doc:`run <run>` command.  This fix is not invoked during :doc:`energy minimization <minimize>`.
+
+Restrictions
+""""""""""""
+
+This fix must be used with the bond style :doc:`rheo/shell <bond_rheo_shell>`
+and :doc:`fix rheo <fix_rheo>` with surface detection enabled.
+
+This fix is part of the RHEO package.  It is only enabled if
+LAMMPS was built with that package.  See the :doc:`Build package <Build_package>`
+page for more info.
+
+Related commands
+""""""""""""""""
+
+:doc:`fix rheo <fix_rheo>`,
+:doc:`bond rheo/shell <bond_rheo_shell>`,
+:doc:`compute rheo/property/atom <compute_rheo_property_atom>`
+
+Default
+"""""""
+
+none
+
+----------
+
+.. _howto_rheo_clemmer2:
+
+**(Clemmer)** Clemmer, Pierce, O'Connor, Nevins, Jones, Lechman, Tencer, Appl. Math. Model., 130, 310-326 (2024).

doc/src/fix_rheo_pressure.rst

@@ -0,0 +1,106 @@
+.. index:: fix rheo/pressure
+
+fix rheo/pressure command
+=========================
+
+Syntax
+""""""
+
+.. parsed-literal::
+
+   fix ID group-ID rheo/pressure type1 pstyle1 args1 ... typeN pstyleN argsN
+
+* ID, group-ID are documented in :doc:`fix <fix>` command
+* rheo/pressure = style name of this fix command
+* one or more types and pressure styles must be appended
+* types = lists of types (see below)
+* pstyle = *linear* or *taitwater* or *cubic*
+
+  .. parsed-literal::
+
+       *linear* args = none
+       *taitwater* args = none
+       *cubic* args = cubic prefactor :math:`A_3` (pressure/density\^2)
+
+Examples
+""""""""
+
+.. code-block:: LAMMPS
+
+   fix 1 all rheo/pressure * linear
+   fix 1 all rheo/pressure 1 linear 2 cubic 10.0
+
+Description
+"""""""""""
+
+.. versionadded:: TBD
+
+This fix defines a pressure equation of state for RHEO particles. One can
+define different equations of state for different atom types. An equation
+must be specified for every atom type.
+
+One first defines the atom *types*. A wild-card asterisk can be used in place
+of or in conjunction with the *types* argument to set the coefficients for
+multiple pairs of atom types.  This takes the form "\*" or "\*n" or "m\*"
+or "m\*n".  If :math:`N` is the number of atom types, then an asterisk with
+no numeric values means all types from 1 to :math:`N`.  A leading asterisk
+means all types from 1 to n (inclusive).  A trailing asterisk means all types
+from m to :math:`N` (inclusive).  A middle asterisk means all types from m to n
+(inclusive).
+
+The *types* definition is followed by the pressure style, *pstyle*. Current
+options *linear*, *taitwater*, and *cubic*. Style *linear* is a linear
+equation of state with a particle pressure :math:`P` calculated as
+
+.. math::
+
+   P = c (\rho - \rho_0)
+
+where :math:`c` is the speed of sound, :math:`\rho_0` is the equilibrium density,
+and :math:`\rho` is the current density of a particle. The numerical values of
+:math:`c` and :math:`\rho_0` are set in :doc:`fix rheo <fix_rheo>`. Style *cubic*
+is a cubic equation of state which has an extra argument :math:`A_3`,
+
+.. math::
+
+   P = c ((\rho - \rho_0) + A_3 (\rho - \rho_0)^3) .
+
+Style *taitwater* is Tait's equation of state:
+
+.. math::
+
+   P = \frac{c^2 \rho_0}{7} \biggl[\left(\frac{\rho}{\rho_0}\right)^{7} - 1\biggr].
+
+Restart, fix_modify, output, run start/stop, minimize info
+"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""
+
+No information about this fix is written to :doc:`binary restart files <restart>`.
+None of the :doc:`fix_modify <fix_modify>` options
+are relevant to this fix.  No global or per-atom quantities are stored
+by this fix for access by various :doc:`output commands <Howto_output>`.
+No parameter of this fix can be used with the *start/stop* keywords of
+the :doc:`run <run>` command.  This fix is not invoked during :doc:`energy minimization <minimize>`.
+
+Restrictions
+""""""""""""
+
+This fix must be used with an atom style that includes density
+such as atom_style rheo or rheo/thermal. This fix must be used in
+conjunction with :doc:`fix rheo <fix_rheo>`. The fix group must be
+set to all. Only one instance of fix rheo/pressure can be defined.
+
+This fix is part of the RHEO package.  It is only enabled if
+LAMMPS was built with that package.  See the :doc:`Build package <Build_package>`
+page for more info.
+
+Related commands
+""""""""""""""""
+
+:doc:`fix rheo <fix_rheo>`,
+:doc:`pair rheo <pair_rheo>`,
+:doc:`compute rheo/property/atom <compute_rheo_property_atom>`
+
+Default
+"""""""
+
+none

doc/src/fix_rheo_thermal.rst

@@ -0,0 +1,128 @@
+.. index:: fix rheo/thermal
+
+fix rheo/thermal command
+========================
+
+Syntax
+""""""
+
+.. parsed-literal::
+
+   fix ID group-ID rheo/thermal attribute values ...
+
+* ID, group-ID are documented in :doc:`fix <fix>` command
+* rheo/thermal = style name of this fix command
+* one or more attributes may be appended
+* attribute = *conductivity* or *specific/heat* or *latent/heat* or *Tfreeze* or *react*
+
+  .. parsed-literal::
+
+       *conductivity* args = types style args
+         types = lists of types (see below)
+         style = *constant*
+           *constant* arg = conductivity (power/temperature)
+       *specific/heat* args = types style args
+         types = lists of types (see below)
+         style = *constant*
+           *constant* arg = specific heat (energy/(mass*temperature))
+       *latent/heat* args = types style args
+         types = lists of types (see below)
+         style = *constant*
+           *constant* arg = latent heat (energy/mass)
+       *Tfreeze* args = types style args
+         types = lists of types (see below)
+         style = *constant*
+           *constant* arg = freezing temperature (temperature)
+       *react* args = cut type
+         cut = maximum bond distance
+         type = bond type
+
+Examples
+""""""""
+
+.. code-block:: LAMMPS
+
+   fix 1 all rheo/thermal conductivity * constant 1.0 specific/heat * constant 1.0 Tfreeze * constant 1.0
+   fix 1 all rheo/pressure conductivity 1*2 constant 1.0 conductivity 3*4 constant 2.0 specific/heat * constant 1.0
+
+Description
+"""""""""""
+
+.. versionadded:: TBD
+
+This fix performs time integration of temperature for atom style rheo/thermal.
+In addition, it defines multiple thermal properties of particles and handles
+melting/solidification, if applicable. For more details on phase transitions
+in RHEO, see :doc:`the RHEO howto <Howto_rheo>`.
+
+Note that the temperature of a particle is always derived from the energy.
+This implies the *temperature* attribute of :doc:`the set command <set>` does
+not affect particles. Instead, one should use the *sph/e* attribute.
+
+For each atom type, one can define expressions for the *conductivity*,
+*specific/heat*, *latent/heat*, and critical temperature (*Tfreeze*).
+The conductivity and specific heat must be defined for all atom types.
+The latent heat and critical temperature are optional. However, a
+critical temperature must be defined to specify a latent heat.
+
+Note, if shifting is turned on in :doc:`fix rheo <fix_rheo>`, the gradient
+of the energy is used to shift energies. This may be inappropriate in systems
+with multiple atom types with different specific heats.
+
+For each property, one must first define a list of atom types. A wild-card
+asterisk can be used in place of or in conjunction with the *types* argument
+to set the coefficients for multiple pairs of atom types.  This takes the
+form "\*" or "\*n" or "m\*" or "m\*n".  If :math:`N` is the number of atom
+types, then an asterisk with no numeric values means all types from 1 to
+:math:`N`.  A leading asterisk means all types from 1 to n (inclusive).
+A trailing asterisk means all types from m to :math:`N` (inclusive).  A
+middle asterisk means all types from m to n (inclusive).
+
+The *types* definition for each property is followed by the style. Currently,
+the only option is *constant*. Style *constant* simply applies a constant value
+of respective property to each particle of the assigned type.
+
+The *react* keyword controls whether bonds are created/deleted when particles
+transition between a fluid and solid state. This option only applies to atom
+types that have a defined value of *Tfreeze*. When a fluid particle's
+temperature drops below *Tfreeze*, bonds of type *btype* are created between
+nearby solid particles within a distance of *cut*. The particle's status also
+swaps to a solid state. When a solid particle's temperature rises above
+*Tfreeze*, all bonds of type *btype* are broken and the particle's status swaps
+to a fluid state.
+
+Restart, fix_modify, output, run start/stop, minimize info
+"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""
+
+No information about this fix is written to :doc:`binary restart files <restart>`.
+None of the :doc:`fix_modify <fix_modify>` options
+are relevant to this fix.  No global or per-atom quantities are stored
+by this fix for access by various :doc:`output commands <Howto_output>`.
+No parameter of this fix can be used with the *start/stop* keywords of
+the :doc:`run <run>` command.  This fix is not invoked during :doc:`energy minimization <minimize>`.
+
+Restrictions
+""""""""""""
+
+This fix must be used with an atom style that includes temperature,
+heatflow, and conductivity such as atom_style rheo/thermal This fix
+must be used in conjunction with :doc:`fix rheo <fix_rheo>` with the
+*thermal* setting. The fix group must be set to all. Only one
+instance of fix rheo/pressure can be defined.
+
+This fix is part of the RHEO package.  It is only enabled if
+LAMMPS was built with that package.  See the :doc:`Build package <Build_package>`
+page for more info.
+
+Related commands
+""""""""""""""""
+
+:doc:`fix rheo <fix_rheo>`,
+:doc:`pair rheo <pair_rheo>`,
+:doc:`compute rheo/property/atom <compute_rheo_property_atom>`,
+:doc:`fix add/heat <fix_add_heat>`
+
+Default
+"""""""
+
+none

doc/src/fix_rheo_viscosity.rst

@@ -0,0 +1,117 @@
+.. index:: fix rheo/viscosity
+
+fix rheo/viscosity command
+==========================
+
+Syntax
+""""""
+
+.. parsed-literal::
+
+   fix ID group-ID rheo/viscosity type1 pstyle1 args1 ... typeN pstyleN argsN
+
+* ID, group-ID are documented in :doc:`fix <fix>` command
+* rheo/viscosity = style name of this fix command
+* one or more types and viscosity styles must be appended
+* types = lists of types (see below)
+* vstyle = *constant* or *power*
+
+  .. parsed-literal::
+
+       *constant* args = *eta*
+         *eta* = viscosity
+
+       *power* args = *eta*, *gd0*, *K*, *n*
+         *eta* = viscosity
+         *gd0* = critical strain rate
+         *K* = consistency index
+         *n* = power-law exponent
+
+Examples
+""""""""
+
+.. code-block:: LAMMPS
+
+   fix 1 all rheo/viscosity * constant 1.0
+   fix 1 all rheo/viscosity 1 constant 1.0 2 power 0.1 5e-4 0.001 0.5
+
+Description
+"""""""""""
+
+.. versionadded:: TBD
+
+This fix defines a viscosity for RHEO particles. One can define different
+viscosities for different atom types, but a viscosity must be specified for
+every atom type.
+
+One first defines the atom *types*. A wild-card asterisk can be used in place
+of or in conjunction with the *types* argument to set the coefficients for
+multiple pairs of atom types.  This takes the form "\*" or "\*n" or "m\*"
+or "m\*n".  If :math:`N` is the number of atom types, then an asterisk with
+no numeric values means all types from 1 to :math:`N`.  A leading asterisk
+means all types from 1 to n (inclusive).  A trailing asterisk means all types
+from m to :math:`N` (inclusive).  A middle asterisk means all types from m to n
+(inclusive).
+
+The *types* definition is followed by the viscosity style, *vstyle*. Two
+options are available, *constant* and *power*. Style *constant* simply
+applies a constant value of the viscosity *eta* to each particle of the
+assigned type. Style *power* is a Hershchel-Bulkley constitutive equation
+for the stress :math:`\tau`
+
+.. math::
+
+   \tau = \left(\frac{\tau_0}{\dot{\gamma}} + K \dot{\gamma}^{n - 1}\right) \dot{\gamma}, \tau \ge \tau_0
+
+where :math:`\dot{\gamma}` is the strain rate and :math:`\tau_0` is the critical
+yield stress, below which :math:`\dot{\gamma} = 0.0`. To avoid divergences, this
+expression is regularized by defining a critical strain rate *gd0*. If the local
+strain rate on a particle falls below this limit, a constant viscosity of *eta*
+is assigned. This implies a value of
+
+.. math::
+   \tau_0 = \eta \dot{\gamma}_0 - K \dot{\gamma}_0^N
+
+as further discussed in :ref:`(Palermo) <rheo_palermo2>`.
+
+
+Restart, fix_modify, output, run start/stop, minimize info
+"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""
+
+No information about this fix is written to :doc:`binary restart files <restart>`.
+None of the :doc:`fix_modify <fix_modify>` options
+are relevant to this fix.  No global or per-atom quantities are stored
+by this fix for access by various :doc:`output commands <Howto_output>`.
+No parameter of this fix can be used with the *start/stop* keywords of
+the :doc:`run <run>` command.  This fix is not invoked during
+:doc:`energy minimization <minimize>`.
+
+Restrictions
+""""""""""""
+
+This fix must be used with an atom style that includes viscosity
+such as atom_style rheo or rheo/thermal. This fix must be used in
+conjunction with :doc:`fix rheo <fix_rheo>`. The fix group must be
+set to all. Only one instance of fix rheo/viscosity can be defined.
+
+This fix is part of the RHEO package.  It is only enabled if
+LAMMPS was built with that package.  See the
+:doc:`Build package <Build_package>` page for more info.
+
+Related commands
+""""""""""""""""
+
+:doc:`fix rheo <fix_rheo>`,
+:doc:`pair rheo <pair_rheo>`,
+:doc:`compute rheo/property/atom <compute_rheo_property_atom>`
+
+Default
+"""""""
+
+none
+
+----------
+
+.. _rheo_palermo2:
+
+**(Palermo)** Palermo, Wolf, Clemmer, O'Connor, in preparation.

doc/src/pair_rheo.rst

@@ -0,0 +1,102 @@
+.. index:: pair_style rheo
+
+pair_style rheo command
+=======================
+
+Syntax
+""""""
+
+.. code-block:: LAMMPS
+
+   pair_style rheo cutoff keyword values
+
+* cutoff = global cutoff for kernel (distance units)
+* zero or more keyword/value pairs may be appended to args
+* keyword = *rho/damp* or *artificial/visc* or *harmonic/means*
+
+.. parsed-literal::
+
+     *rho/damp* args = density damping prefactor :math:`\xi`
+     *artificial/visc* args = artificial viscosity prefactor :math:`\zeta`
+     *harmonic/means* args = none
+
+Examples
+""""""""
+
+.. code-block:: LAMMPS
+
+   pair_style rheo 3.0 rho/damp 1.0 artificial/visc 2.0
+   pair_coeff * *
+
+Description
+"""""""""""
+
+.. versionadded:: TBD
+
+Pair style *rheo* computes pressure and viscous forces between particles
+in the :doc:`rheo package <Howto_rheo>`. If thermal evolution is turned
+on in :doc:`fix rheo <fix_rheo>`, then the pair style also calculates
+heat exchanged between particles.
+
+The *artificial/viscosity* keyword is used to specify the magnitude
+:math:`\zeta` of an optional artificial viscosity contribution to forces.
+This factor can help stabilize simulations by smoothing out small length
+scale variations in velocity fields. Artificial viscous forces typically
+are only exchanged by fluid particles. However, if interfaces are not
+reconstructed in fix rheo, fluid particles will also exchange artificial
+viscous forces with solid particles to improve stability.
+
+The *rho/damp* keyword is used to specify the magnitude :math:`\xi` of
+an optional pairwise damping term between the density of particles. This
+factor can help stabilize simulations by smoothing out small length
+scale variations in density fields. However, in systems that develop
+a density gradient in equilibrium (e.g. in a hydrostatic column underlying
+gravity), this option may be inappropriate.
+
+If particles have different viscosities or conductivities, the
+*harmonic/means* keyword changes how they are averaged before calculating
+pairwise forces or heat exchanges. By default, an arithmetic averaged is
+used, however, a harmonic mean may improve stability in systems with multiple
+fluid phases with large disparities in viscosities.
+
+No coefficients are defined for each pair of atoms types via the
+:doc:`pair_coeff <pair_coeff>` command as in the examples
+above.
+
+----------
+
+Mixing, shift, table, tail correction, restart, rRESPA info
+"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""
+
+This style does not support the :doc:`pair_modify <pair_modify>`
+shift, table, and tail options.
+
+This style does not write information to :doc:`binary restart files <restart>`.
+Thus, you need to re-specify the pair_style and pair_coeff commands in an input
+script that reads a restart file.
+
+This style can only be used via the *pair* keyword of the
+:doc:`run_style respa <run_style>` command.  It does not support the *inner*,
+*middle*, *outer* keywords.
+
+Restrictions
+""""""""""""
+
+This fix is part of the RHEO package.  It is only enabled if
+LAMMPS was built with that package.  See the
+:doc:`Build package <Build_package>` page for more info.
+
+Related commands
+""""""""""""""""
+
+:doc:`fix rheo <fix_rheo>`,
+:doc:`fix rheo/pressure <fix_rheo_pressure>`,
+:doc:`fix rheo/thermal <fix_rheo_thermal>`,
+:doc:`fix rheo/viscosity <fix_rheo_viscosity>`,
+:doc:`compute rheo/property/atom <compute_rheo_property_atom>`
+
+Default
+"""""""
+
+Density damping and artificial viscous forces are not calculated.
+Arithmetic means are used for mixing particle properties.

doc/src/pair_rheo_solid.rst

@@ -0,0 +1,112 @@
+.. index:: pair_style rheo/solid
+
+pair_style rheo/solid command
+=============================
+
+Syntax
+""""""
+
+.. code-block:: LAMMPS
+
+   pair_style rheo/solid
+
+Examples
+""""""""
+
+.. code-block:: LAMMPS
+
+   pair_style rheo/solid
+   pair_coeff * * 1.0 1.5 1.0
+
+Description
+"""""""""""
+
+.. versionadded:: TBD
+
+Style *rheo/solid* is effectively a copy of pair style
+:doc:`bpm/spring <pair_bpm_spring>` except it only applies forces
+between solid RHEO particles, determined by checking the status of
+each pair of neighboring particles before calculating forces.
+
+The style computes pairwise forces with the formula
+
+.. math::
+
+   F = k (r - r_c)
+
+where :math:`k` is a stiffness and :math:`r_c` is the cutoff length.
+An additional damping force is also applied to interacting
+particles. The force is proportional to the difference in the
+normal velocity of particles
+
+.. math::
+
+   F_D = - \gamma w (\hat{r} \bullet \vec{v})
+
+where :math:`\gamma` is the damping strength, :math:`\hat{r}` is the
+displacement normal vector, :math:`\vec{v}` is the velocity difference
+between the two particles, and :math:`w` is a smoothing factor.
+This smoothing factor is constructed such that damping forces go to zero
+as particles come out of contact to avoid discontinuities. It is
+given by
+
+.. math::
+
+   w = 1.0 - \left( \frac{r}{r_c} \right)^8 .
+
+The following coefficients must be defined for each pair of atom types
+via the :doc:`pair_coeff <pair_coeff>` command as in the examples
+above, or in the data file or restart files read by the
+:doc:`read_data <read_data>` or :doc:`read_restart <read_restart>`
+commands, or by mixing as described below:
+
+* :math:`k`             (force/distance units)
+* :math:`r_c`           (distance units)
+* :math:`\gamma`        (force/velocity units)
+
+
+----------
+
+Mixing, shift, table, tail correction, restart, rRESPA info
+"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""
+
+For atom type pairs I,J and I != J, the A coefficient and cutoff
+distance for this pair style can be mixed.  A is always mixed via a
+*geometric* rule.  The cutoff is mixed according to the pair_modify
+mix value.  The default mix value is *geometric*\ .  See the
+"pair_modify" command for details.
+
+This pair style does not support the :doc:`pair_modify <pair_modify>`
+shift option, since the pair interaction goes to 0.0 at the cutoff.
+
+The :doc:`pair_modify <pair_modify>` table and tail options are not
+relevant for this pair style.
+
+This pair style writes its information to :doc:`binary restart files
+<restart>`, so pair_style and pair_coeff commands do not need to be
+specified in an input script that reads a restart file.
+
+This pair style can only be used via the *pair* keyword of the
+:doc:`run_style respa <run_style>` command.  It does not support the
+*inner*, *middle*, *outer* keywords.
+
+----------
+
+Restrictions
+""""""""""""
+
+This pair style is part of the RHEO package.  It is only enabled if
+LAMMPS was built with that package.  See the :doc:`Build package
+<Build_package>` page for more info.
+
+Related commands
+""""""""""""""""
+
+:doc:`fix rheo <fix_rheo>`,
+:doc:`fix rheo/thermal <fix_rheo_thermal>`,
+:doc:`pair bpm/spring <pair_bpm_spring>`
+
+Default
+"""""""
+
+none

doc/src/pair_style.rst

@@ -337,6 +337,8 @@ accelerated styles exist.
 * :doc:`reaxff <pair_reaxff>` - ReaxFF potential
 * :doc:`rebo <pair_airebo>` - Second generation REBO potential of Brenner
 * :doc:`rebomos <pair_rebomos>` - REBOMoS potential for MoS2
+* :doc:`rheo <pair_rheo>` - fluid interactions in RHEO package
+* :doc:`rheo/solid <pair_rheo_solid>` - solid interactions in RHEO package
 * :doc:`resquared <pair_resquared>` - Everaers RE-Squared ellipsoidal potential
 * :doc:`saip/metal <pair_saip_metal>` - Interlayer potential for hetero-junctions formed with hexagonal 2D materials and metal surfaces
 * :doc:`sdpd/taitwater/isothermal <pair_sdpd_taitwater_isothermal>` - Smoothed dissipative particle dynamics for water at isothermal conditions

doc/src/read_data.rst

@@ -859,6 +859,10 @@ of analysis.
      - atom-ID molecule-ID atom-type x y z
    * - peri
      - atom-ID atom-type volume density x y z
+   * - rheo
+     - atom-ID atom-type status rho x y z
+   * - rheo/thermal
+     - atom-ID atom-type status rho energy x y z
    * - smd
      - atom-ID atom-type molecule volume mass kradius cradius x0 y0 z0 x y z
    * - sph

doc/src/set.rst

@@ -120,6 +120,8 @@ Syntax
        *angle* value = numeric angle type or angle type label, for all angles between selected atoms
        *dihedral* value = numeric dihedral type or dihedral type label, for all dihedrals between selected atoms
        *improper* value = numeric improper type or improper type label, for all impropers between selected atoms
+       *rheo/rho* value = density of RHEO particles (mass/distance\^3)
+       *rheo/status* value = status or phase of RHEO particles (unitless)
        *sph/e* value = energy of SPH particles (need units)
          value can be an atom-style variable (see below)
        *sph/cv* value = heat capacity of SPH particles (need units)
@@ -506,6 +508,10 @@ by the *bond types* (\ *angle types*, etc) field in the header of the
 data file read by the :doc:`read_data <read_data>` command.  These
 keywords do not allow use of an atom-style variable.
 
+Keywords *rheo/rho* and *rheo/status* set the density and the status of
+rheo particles. In particular, one can only set the phase in the status
+as described by the :doc:`RHEO howto page <Howto_rheo>`.
+
 Keywords *sph/e*, *sph/cv*, and *sph/rho* set the energy, heat capacity,
 and density of smoothed particle hydrodynamics (SPH) particles.  See
 `this PDF guide <PDF/SPH_LAMMPS_userguide.pdf>`_ to using SPH in LAMMPS.

doc/utils/sphinx-config/false_positives.txt

@@ -393,6 +393,7 @@ buf
 builtin
 Bulacu
 Bulatov
+Bulkley
 Bureekaew
 burlywood
 Bussi
@@ -564,6 +565,7 @@ cond
 conda
 Conda
 Condens
+conductivities
 conf
 config
 configfile
@@ -1441,6 +1443,7 @@ henrich
 Henrich
 Hermitian
 Herrmann
+Hershchel
 Hertizian
 hertzian
 Hertzsch
@@ -1832,6 +1835,7 @@ Kspace
 KSpace
 KSpaceStyle
 Kspring
+kstyle
 kT
 kTequil
 kth
@@ -2272,6 +2276,7 @@ modelled
 modelling
 Modelling
 Modine
+modularity
 moduli
 mofff
 MOFFF
@@ -2489,6 +2494,7 @@ Neumann
 Nevent
 nevery
 Nevery
+Nevins
 newfile
 Newns
 newtype
@@ -3068,6 +3074,7 @@ quatw
 queryargs
 Queteschiner
 quickmin
+quintic
 qw
 qx
 qy
@@ -3079,6 +3086,7 @@ radialscreenedspin
 radialspin
 radian
 radians
+radiative
 radj
 Rafferty
 rahman
@@ -3182,6 +3190,7 @@ rg
 Rg
 Rhaphson
 Rhe
+rheo
 rheological
 rheology
 rhodo
@@ -3269,6 +3278,7 @@ rsort
 rsq
 rst
 rstyle
+rsurf
 Rubensson
 Rubia
 Rud
@@ -3652,6 +3662,7 @@ Telsa
 tempCorrCoeff
 templated
 Templeton
+Tencer
 Tequil
 ters
 tersoff
@@ -3998,6 +4009,7 @@ Vries
 Vsevolod
 Vsmall
 Vstream
+vstyle
 vtarget
 vtk
 VTK

examples/rheo/balloon/in.rheo.balloon

@@ -0,0 +1,75 @@
+# ------ 2D water balloon ------ #
+
+dimension          2
+units              lj
+atom_style         hybrid rheo bond
+boundary           m m p
+comm_modify        vel yes
+newton             off
+
+region             box block -40 40 0 80 -0.01 0.01 units box
+create_box         1 box bond/types 1 extra/bond/per/atom 15 extra/special/per/atom 50
+
+region             fluid sphere -10 40 0 30 units box side in
+lattice            hex 1.0
+create_atoms       1 region fluid
+
+region             shell sphere -10 40 0 27 units box side out
+group              shell region shell
+
+set                group shell rheo/status 1
+set                group all vx 0.005 vy -0.04
+
+# ------ Model parameters ------#
+
+variable           cut equal 3.0
+variable           n equal 1.0
+variable           rho0 equal 1.0
+variable           cs equal 1.0
+variable           mp equal ${rho0}/${n}
+variable           zeta equal 0.05
+variable           kappa equal 0.01*${rho0}/${mp}
+variable           dt_max equal 0.1*${cut}/${cs}/3
+variable           eta equal 0.05
+variable           Cv equal 1.0
+variable           L equal 1.0
+variable           Tf equal 1.0
+
+mass               * ${mp}
+timestep           0.1
+
+pair_style         hybrid/overlay rheo ${cut} artificial/visc ${zeta} rheo/solid
+pair_coeff         * * rheo
+pair_coeff         * * rheo/solid 1.0 1.0 1.0
+
+special_bonds      lj 0.0 1.0 1.0 coul 0.0 1.0 1.0
+create_bonds       many shell shell 1 0 1.5
+special_bonds      lj 0.0 1.0 1.0 coul 1.0 1.0 1.0
+
+bond_style         bpm/spring
+bond_coeff         1 1.0 1.0 1.0
+
+# A lower critical strain allows the balloon to pop
+#bond_coeff         1 1.0 0.05 1.0
+
+# ------ Drop balloon ------#
+
+fix             1 all rheo ${cut} quintic 0 &
+                           shift &
+                           surface/detection coordination 22 8
+fix             2 all rheo/viscosity * constant ${eta}
+fix             3 all rheo/pressure * linear
+fix             4 all wall/harmonic ylo EDGE 2.0 1.0 1.0
+fix             5 all enforce2d
+
+compute         rho all rheo/property/atom rho
+compute         phase all rheo/property/atom phase
+compute         nbond all nbond/atom
+
+# ------ Output & Run ------ #
+
+thermo          200
+thermo_style    custom step time ke press atoms
+
+#dump            1 all custom 200 atomDump id type x y vx vy fx fy c_phase c_nbond c_rho
+run             30000

examples/rheo/balloon/log.17Apr2024.balloon.g++.4

@@ -0,0 +1,382 @@
+LAMMPS (17 Apr 2024 - Development - patch_5May2020-18508-g3c0eaf6870-modified)
+# ------ 2D water balloon ------ #
+
+dimension          2
+units              lj
+atom_style         hybrid rheo bond
+boundary           m m p
+comm_modify        vel yes
+newton             off
+
+region             box block -40 40 0 80 -0.01 0.01 units box
+create_box         1 box bond/types 1 extra/bond/per/atom 15 extra/special/per/atom 50
+Created orthogonal box = (-40 0 -0.01) to (40 80 0.01)
+  2 by 2 by 1 MPI processor grid
+
+region             fluid sphere -10 40 0 30 units box side in
+lattice            hex 1.0
+Lattice spacing in x,y,z = 1.0745699 1.8612097 1.0745699
+create_atoms       1 region fluid
+Created 2830 atoms
+  using lattice units in orthogonal box = (-40 0 -0.01) to (40 80 0.01)
+  create_atoms CPU = 0.001 seconds
+
+region             shell sphere -10 40 0 27 units box side out
+group              shell region shell
+544 atoms in group shell
+
+set                group shell rheo/status 1
+Setting atom values ...
+  544 settings made for rheo/status
+set                group all vx 0.005 vy -0.04
+Setting atom values ...
+  2830 settings made for vx
+  2830 settings made for vy
+
+# ------ Model parameters ------#
+
+variable           cut equal 3.0
+variable           n equal 1.0
+variable           rho0 equal 1.0
+variable           cs equal 1.0
+variable           mp equal ${rho0}/${n}
+variable           mp equal 1/${n}
+variable           mp equal 1/1
+variable           zeta equal 0.05
+variable           kappa equal 0.01*${rho0}/${mp}
+variable           kappa equal 0.01*1/${mp}
+variable           kappa equal 0.01*1/1
+variable           dt_max equal 0.1*${cut}/${cs}/3
+variable           dt_max equal 0.1*3/${cs}/3
+variable           dt_max equal 0.1*3/1/3
+variable           eta equal 0.05
+variable           Cv equal 1.0
+variable           L equal 1.0
+variable           Tf equal 1.0
+
+mass               * ${mp}
+mass               * 1
+timestep           0.1
+
+pair_style         hybrid/overlay rheo ${cut} artificial/visc ${zeta} rheo/solid
+pair_style         hybrid/overlay rheo 3 artificial/visc ${zeta} rheo/solid
+pair_style         hybrid/overlay rheo 3 artificial/visc 0.05 rheo/solid
+pair_coeff         * * rheo
+pair_coeff         * * rheo/solid 1.0 1.0 1.0
+
+special_bonds      lj 0.0 1.0 1.0 coul 0.0 1.0 1.0
+Finding 1-2 1-3 1-4 neighbors ...
+  special bond factors lj:    0        1        1       
+  special bond factors coul:  0        1        1       
+     0 = max # of 1-2 neighbors
+   101 = max # of special neighbors
+  special bonds CPU = 0.000 seconds
+create_bonds       many shell shell 1 0 1.5
+Generated 0 of 0 mixed pair_coeff terms from geometric mixing rule
+Neighbor list info ...
+  update: every = 1 steps, delay = 0 steps, check = yes
+  max neighbors/atom: 2000, page size: 100000
+  master list distance cutoff = 3.3
+  ghost atom cutoff = 3.3
+  binsize = 1.65, bins = 49 49 1
+  3 neighbor lists, perpetual/occasional/extra = 2 1 0
+  (1) command create_bonds, occasional
+      attributes: full, newton off
+      pair build: full/bin
+      stencil: full/bin/2d
+      bin: standard
+  (2) pair rheo, perpetual
+      attributes: half, newton off
+      pair build: half/bin/newtoff
+      stencil: full/bin/2d
+      bin: standard
+  (3) pair rheo/solid, perpetual, trim from (2)
+      attributes: half, newton off, cut 1.3
+      pair build: trim
+      stencil: none
+      bin: none
+Added 1263 bonds, new total = 1263
+Finding 1-2 1-3 1-4 neighbors ...
+  special bond factors lj:    0        1        1       
+  special bond factors coul:  0        1        1       
+     6 = max # of 1-2 neighbors
+   101 = max # of special neighbors
+  special bonds CPU = 0.000 seconds
+special_bonds      lj 0.0 1.0 1.0 coul 1.0 1.0 1.0
+
+bond_style         bpm/spring
+bond_coeff         1 1.0 1.0 1.0
+
+# A lower critical strain allows the balloon to pop
+#bond_coeff         1 1.0 0.05 1.0
+
+# ------ Drop balloon ------#
+
+fix             1 all rheo ${cut} quintic 0                            shift                            surface/detection coordination 22 8
+fix             1 all rheo 3 quintic 0                            shift                            surface/detection coordination 22 8
+fix             2 all rheo/viscosity * constant ${eta}
+fix             2 all rheo/viscosity * constant 0.05
+fix             3 all rheo/pressure * linear
+fix             4 all wall/harmonic ylo EDGE 2.0 1.0 1.0
+fix             5 all enforce2d
+
+compute         rho all rheo/property/atom rho
+compute         phase all rheo/property/atom phase
+compute         nbond all nbond/atom
+
+# ------ Output & Run ------ #
+
+thermo          200
+thermo_style    custom step time ke press atoms
+
+dump            1 all custom 200 atomDump id type x y vx vy fx fy c_phase c_nbond c_rho
+run             30000
+
+CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE
+
+Your simulation uses code contributions which should be cited:
+
+- BPM bond style: doi:10.1039/D3SM01373A
+
+@Article{Clemmer2024,
+ author =  {Clemmer, Joel T. and Monti, Joseph M. and Lechman, Jeremy B.},
+ title =   {A soft departure from jamming: the compaction of deformable
+            granular matter under high pressures},
+ journal = {Soft Matter},
+ year =    2024,
+ volume =  20,
+ number =  8,
+ pages =   {1702--1718}
+}
+
+- @article{PalermoInPrep,
+ journal = {in prep},
+ title = {RHEO: A Hybrid Mesh-Free Model Framework for Dynamic Multi-Phase Flows},
+ year = {2024},
+ author = {Eric T. Palermo and Ki T. Wolf and Joel T. Clemmer and Thomas C. O'Connor},
+}
+
+CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE
+
+Generated 0 of 0 mixed pair_coeff terms from geometric mixing rule
+Neighbor list info ...
+  update: every = 1 steps, delay = 0 steps, check = yes
+  max neighbors/atom: 2000, page size: 100000
+  master list distance cutoff = 3.3
+  ghost atom cutoff = 3.3
+  binsize = 1.65, bins = 49 49 1
+  6 neighbor lists, perpetual/occasional/extra = 6 0 0
+  (1) pair rheo, perpetual, half/full from (3)
+      attributes: half, newton off
+      pair build: halffull/newtoff
+      stencil: none
+      bin: none
+  (2) pair rheo/solid, perpetual, trim from (1)
+      attributes: half, newton off, cut 1.3
+      pair build: trim
+      stencil: none
+      bin: none
+  (3) compute RHEO/KERNEL, perpetual
+      attributes: full, newton off
+      pair build: full/bin
+      stencil: full/bin/2d
+      bin: standard
+  (4) compute RHEO/GRAD, perpetual, copy from (1)
+      attributes: half, newton off
+      pair build: copy
+      stencil: none
+      bin: none
+  (5) compute RHEO/VSHIFT, perpetual, copy from (1)
+      attributes: half, newton off
+      pair build: copy
+      stencil: none
+      bin: none
+  (6) compute RHEO/SURFACE, perpetual, copy from (1)
+      attributes: half, newton off
+      pair build: copy
+      stencil: none
+      bin: none
+Per MPI rank memory allocation (min/avg/max) = 17.63 | 17.64 | 17.65 Mbytes
+   Step          Time          KinEng         Press         Atoms   
+         0   0              0.0008125      0.00035927734       2830 
+       200   20             0.0008125      0.00035927734       2830 
+       400   40             0.0008125      0.00035927734       2830 
+       600   60             0.0008125      0.00035927734       2830 
+       800   80             0.0008125      0.00035927734       2830 
+      1000   100            0.0008125      0.00035927734       2830 
+      1200   120            0.0008125      0.00035927734       2830 
+      1400   140            0.0008125      0.00035927734       2830 
+      1600   160            0.0008125      0.00035927734       2830 
+      1800   180            0.0008125      0.00035927734       2830 
+      2000   200            0.0008125      0.00035927734       2830 
+      2200   220            0.0008125      0.00035927734       2830 
+      2400   240            0.00079033569  0.00043037861       2830 
+      2600   260            0.0007549229   0.00045188383       2830 
+      2800   280            0.00072808836  0.00031695003       2830 
+      3000   300            0.0007017958   1.6121754e-05       2830 
+      3200   320            0.00067479047 -0.00015725514       2830 
+      3400   340            0.00064762254 -0.00023361314       2830 
+      3600   360            0.00061960255 -0.00033837679       2830 
+      3800   380            0.0005857206  -0.00051770716       2830 
+      4000   400            0.00055061733 -0.00070309251       2830 
+      4200   420            0.00051884719 -0.0008247795        2830 
+      4400   440            0.00049022236 -0.00099918413       2830 
+      4600   460            0.00046060011 -0.0010923159        2830 
+      4800   480            0.00042900173 -0.0011524571        2830 
+      5000   500            0.00039751503 -0.0012586358        2830 
+      5200   520            0.00036620054 -0.0013973543        2830 
+      5400   540            0.00033130023 -0.0015185231        2830 
+      5600   560            0.00030565892 -0.0016159836        2830 
+      5800   580            0.00028209836 -0.0016925198        2830 
+      6000   600            0.00024695044 -0.0017796892        2830 
+      6200   620            0.00021190635 -0.0018706272        2830 
+      6400   640            0.0001947093  -0.0019146643        2830 
+      6600   660            0.00018903936 -0.0019146199        2830 
+      6800   680            0.00017753371 -0.0019390155        2830 
+      7000   700            0.00015170593 -0.0020247472        2830 
+      7200   720            0.00011509692 -0.0021222209        2830 
+      7400   740            7.9861785e-05 -0.0022033181        2830 
+      7600   760            6.1350463e-05 -0.0022511971        2830 
+      7800   780            6.5269523e-05 -0.0022222806        2830 
+      8000   800            8.5709569e-05 -0.0021089664        2830 
+      8200   820            0.00011746348 -0.0019351493        2830 
+      8400   840            0.00015698134 -0.0017079928        2830 
+      8600   860            0.00019758065 -0.0014618965        2830 
+      8800   880            0.00023338199 -0.0012365832        2830 
+      9000   900            0.00026282353 -0.0010348527        2830 
+      9200   920            0.00028604776 -0.00085287884       2830 
+      9400   940            0.00030388767 -0.000681122         2830 
+      9600   960            0.000317589   -0.00052203521       2830 
+      9800   980            0.00032716728 -0.00037501187       2830 
+     10000   1000           0.00033270692 -0.00025576132       2830 
+     10200   1020           0.00033485986 -0.00016554207       2830 
+     10400   1040           0.00033476763 -9.8525417e-05       2830 
+     10600   1060           0.00033351922 -5.1166347e-05       2830 
+     10800   1080           0.00033161645 -2.0773965e-05       2830 
+     11000   1100           0.00032913022  2.2384421e-07       2830 
+     11200   1120           0.00032618376  1.2304773e-05       2830 
+     11400   1140           0.00032310409  1.3725982e-05       2830 
+     11600   1160           0.0003202128   9.0431945e-06       2830 
+     11800   1180           0.00031760386 -5.3537879e-07       2830 
+     12000   1200           0.00031518884 -1.331708e-05        2830 
+     12200   1220           0.00031283958 -3.0838612e-05       2830 
+     12400   1240           0.0003104901  -5.0038548e-05       2830 
+     12600   1260           0.00030811597 -6.9699925e-05       2830 
+     12800   1280           0.00030555782 -8.9972287e-05       2830 
+     13000   1300           0.00030256671 -0.00011712941       2830 
+     13200   1320           0.00029907961 -0.00015495826       2830 
+     13400   1340           0.00029504656 -0.00020292633       2830 
+     13600   1360           0.0002905184  -0.00024892421       2830 
+     13800   1380           0.00028564542 -0.000295085         2830 
+     14000   1400           0.00028073246 -0.00034571956       2830 
+     14200   1420           0.00027611457 -0.00039341977       2830 
+     14400   1440           0.00027217382 -0.0004281012        2830 
+     14600   1460           0.00026919129 -0.00045342545       2830 
+     14800   1480           0.00026727674 -0.00047323419       2830 
+     15000   1500           0.0002663482  -0.00048423944       2830 
+     15200   1520           0.00026616663 -0.0004816085        2830 
+     15400   1540           0.00026634862 -0.00047573486       2830 
+     15600   1560           0.0002664314  -0.00046803192       2830 
+     15800   1580           0.00026603348 -0.00045753668       2830 
+     16000   1600           0.00026511015 -0.00044676105       2830 
+     16200   1620           0.00026373403 -0.00044075794       2830 
+     16400   1640           0.00026217342 -0.00043684036       2830 
+     16600   1660           0.0002607038  -0.00042774771       2830 
+     16800   1680           0.00025951097 -0.00041603026       2830 
+     17000   1700           0.00025869088 -0.00040302996       2830 
+     17200   1720           0.00025825588 -0.00038415247       2830 
+     17400   1740           0.00025818373 -0.00035742127       2830 
+     17600   1760           0.00025843381 -0.00032854722       2830 
+     17800   1780           0.00025897836 -0.00029821183       2830 
+     18000   1800           0.00025981472 -0.00026108907       2830 
+     18200   1820           0.00026095775 -0.00021731058       2830 
+     18400   1840           0.00026239688 -0.00017030825       2830 
+     18600   1860           0.00026404432 -0.00011868778       2830 
+     18800   1880           0.00026574247 -5.9556286e-05       2830 
+     19000   1900           0.00026729563  2.3014881e-06       2830 
+     19200   1920           0.00026852418  6.2100169e-05       2830 
+     19400   1940           0.00026929086  0.00012090325       2830 
+     19600   1960           0.0002695407   0.00017904223       2830 
+     19800   1980           0.00026929677  0.00023112254       2830 
+     20000   2000           0.00026863577  0.0002756697        2830 
+     20200   2020           0.00026765699  0.0003158399        2830 
+     20400   2040           0.00026646841  0.00035200747       2830 
+     20600   2060           0.00026516938  0.00038018442       2830 
+     20800   2080           0.00026383495  0.00040179111       2830 
+     21000   2100           0.00026252489  0.00042030921       2830 
+     21200   2120           0.00026128616  0.00043466976       2830 
+     21400   2140           0.00026014896  0.00044221445       2830 
+     21600   2160           0.00025912325  0.00044531883       2830 
+     21800   2180           0.00025821515  0.00044661709       2830 
+     22000   2200           0.00025742576  0.00044409089       2830 
+     22200   2220           0.00025674938  0.00043634999       2830 
+     22400   2240           0.00025617111  0.00042630344       2830 
+     22600   2260           0.0002556791   0.00041561603       2830 
+     22800   2280           0.00025525963  0.00040166735       2830 
+     23000   2300           0.00025489538  0.00038430419       2830 
+     23200   2320           0.00025456861  0.0003669402        2830 
+     23400   2340           0.00025426747  0.00034972373       2830 
+     23600   2360           0.00025398353  0.0003302242        2830 
+     23800   2380           0.00025370842  0.00030993088       2830 
+     24000   2400           0.00025344084  0.00029143258       2830 
+     24200   2420           0.00025318683  0.00027421708       2830 
+     24400   2440           0.0002529591   0.00025603123       2830 
+     24600   2460           0.0002527713   0.00023950245       2830 
+     24800   2480           0.00025264228  0.00022644812       2830 
+     25000   2500           0.00025259021  0.00021540748       2830 
+     25200   2520           0.00025262892  0.00020544201       2830 
+     25400   2540           0.00025276229  0.00019845807       2830 
+     25600   2560           0.0002529876   0.00019449958       2830 
+     25800   2580           0.00025329374  0.00019082606       2830 
+     26000   2600           0.00025366066  0.00018700064       2830 
+     26200   2620           0.00025406164  0.00018426061       2830 
+     26400   2640           0.00025446737  0.00018098339       2830 
+     26600   2660           0.00025484714  0.00017471869       2830 
+     26800   2680           0.00025516604  0.00016565557       2830 
+     27000   2700           0.00025538911  0.00015493626       2830 
+     27200   2720           0.00025548177  0.00014075592       2830 
+     27400   2740           0.00025541168  0.00012205573       2830 
+     27600   2760           0.00025514889  0.00010039772       2830 
+     27800   2780           0.00025467547  7.7069215e-05       2830 
+     28000   2800           0.0002539915   5.1158042e-05       2830 
+     28200   2820           0.00025312083  2.3468384e-05       2830 
+     28400   2840           0.00025211323 -3.2184465e-06       2830 
+     28600   2860           0.00025104366 -2.7726301e-05       2830 
+     28800   2880           0.00025000263 -5.0202987e-05       2830 
+     29000   2900           0.00024907814 -6.9244776e-05       2830 
+     29200   2920           0.00024833815 -8.2874516e-05       2830 
+     29400   2940           0.0002478155  -9.1854992e-05       2830 
+     29600   2960           0.00024750313 -9.766055e-05        2830 
+     29800   2980           0.00024735538 -9.9681291e-05       2830 
+     30000   3000           0.00024730191 -9.818759e-05        2830 
+Loop time of 177.982 on 4 procs for 30000 steps with 2830 atoms
+
+Performance: 1456330.235 tau/day, 168.557 timesteps/s, 477.016 katom-step/s
+99.7% CPU use with 4 MPI tasks x no OpenMP threads
+
+MPI task timing breakdown:
+Section |  min time  |  avg time  |  max time  |%varavg| %total
+---------------------------------------------------------------
+Pair    | 22.913     | 27.061     | 34.594     |  87.2 | 15.20
+Bond    | 0.22386    | 0.26159    | 0.30792    |   6.0 |  0.15
+Neigh   | 0.84412    | 0.84509    | 0.8462     |   0.1 |  0.47
+Comm    | 0.50015    | 0.55579    | 0.60346    |   5.2 |  0.31
+Output  | 0.65854    | 0.69412    | 0.72473    |   2.8 |  0.39
+Modify  | 133.13     | 136        | 137.38     |  14.5 | 76.41
+Other   |            | 12.57      |            |       |  7.06
+
+Nlocal:          707.5 ave        1576 max          53 min
+Histogram: 2 0 0 0 0 0 1 0 0 1
+Nghost:         164.75 ave         239 max          94 min
+Histogram: 1 0 1 0 0 0 0 1 0 1
+Neighs:        12307.8 ave       27380 max         983 min
+Histogram: 2 0 0 0 0 0 1 0 0 1
+FullNghs:        23517 ave       53040 max        1502 min
+Histogram: 2 0 0 0 0 0 1 0 0 1
+
+Total # of neighbors = 94068
+Ave neighs/atom = 33.239576
+Ave special neighs/atom = 0.89257951
+Neighbor list builds = 783
+Dangerous builds = 0
+Total wall time: 0:02:58

examples/rheo/dam-break/in.rheo.dam.break

@@ -0,0 +1,76 @@
+# ------ 2D dam break ------ #
+
+dimension          2
+units              lj
+atom_style         rheo
+boundary           f s p
+comm_modify        vel yes
+newton             off
+
+# ------ Create simulation box ------ #
+
+variable           n equal 1.0
+variable           cut equal 2.2
+variable           dx equal 3.0
+
+region             box block -1 150 -1 80 -0.1 0.1 units box
+create_box         2 box
+lattice            hex ${n}
+
+region             fluid block $(xlo+v_dx+1.0) $(xlo+40.0) $(ylo+v_dx+1.0) $(yhi-20.0) EDGE EDGE units box
+region             walls1 block $(xlo+v_dx) $(xhi-v_dx) $(ylo+v_dx) $(yhi-v_dx) EDGE EDGE side out units box
+region             walls2 block EDGE EDGE EDGE $(yhi-v_dx) EDGE EDGE side in units box
+region             walls intersect 2 walls1 walls2
+
+create_atoms       1 region fluid
+create_atoms       2 region walls
+
+group              fluid type 1
+group              rig type 2
+
+# ------ Model parameters ------ #
+
+variable           rho0 equal 1.0
+variable           mp equal ${rho0}/${n}
+variable           cs equal 1.0
+variable           zeta equal 0.1
+variable           dt_max equal  0.1*${cut}/${cs}/3
+variable           eta equal 0.1
+variable           Dr equal 0.1
+
+mass               1 ${mp}
+mass               2 $(2*v_mp)
+set                group all rheo/rho ${rho0}
+
+set                group all rheo/status 0
+set                group rig rheo/status 1
+
+timestep           ${dt_max}
+
+pair_style         rheo ${cut} artificial/visc ${zeta} #rho/damp ${Dr}
+pair_coeff         * *
+
+# ------ Fixes & computes ------ #
+
+fix                1 all rheo ${cut} quintic 10 &
+                              surface/detection coordination 22 8 &
+                              rho/sum
+fix                2 all rheo/viscosity * constant ${eta}
+fix                3 all rheo/pressure * linear
+fix                4 all gravity 1e-3 vector 0 -1 0
+fix                5 rig setforce 0.0 0.0 0.0
+fix                6 all enforce2d
+
+compute            rho all rheo/property/atom rho
+compute            p all rheo/property/atom pressure
+compute            surf all rheo/property/atom surface
+compute            sn all rheo/property/atom surface/n/x surface/n/y
+
+# ------ Output & Run ------ #
+
+thermo             20
+thermo_style       custom step time ke press
+
+#dump               1 all custom 200 atomDump id type x y vx vy fx fy c_rho c_surf c_p c_sn[*]
+
+run                30000

examples/rheo/ice-cubes/in.rheo.ice.cubes

@@ -0,0 +1,82 @@
+# ------ 2D Ice Cube Pour ------ #
+
+dimension          2
+units              lj
+atom_style         hybrid rheo/thermal bond
+boundary           m m p
+comm_modify        vel yes
+newton             off
+special_bonds      lj 0.0 1.0 1.0 coul 1.0 1.0 1.0
+
+region             box block -25 25 0 100 -0.01 0.01 units box
+create_box         1 box bond/types 1 extra/bond/per/atom 15 extra/special/per/atom 50
+
+region             fluid block $(xlo+1) $(xhi-1) $(ylo+1) $(ylo+30) EDGE EDGE units box
+lattice            sq 1.0
+create_atoms       1 region fluid
+
+set                group all sph/e 8.0
+
+# ------ Model parameters ------#
+
+variable           cut equal 3.0
+variable           n equal 1.0
+variable           rho0 equal 1.0
+variable           cs equal 1.0
+variable           mp equal ${rho0}/${n}
+variable           zeta equal 0.05
+variable           kappa equal 0.01*${rho0}/${mp}
+variable           dt_max equal 0.1*${cut}/${cs}/3
+variable           eta equal 0.05
+variable           Cv equal 1.0
+variable           L equal 1.0
+variable           Tf equal 1.0
+
+mass               * ${mp}
+timestep           0.1
+
+pair_style         hybrid/overlay rheo ${cut} artificial/visc ${zeta} rheo/solid
+pair_coeff         * * rheo
+pair_coeff         * * rheo/solid 1.0 1.0 1.0
+
+bond_style         bpm/spring
+bond_coeff         1 1.0 1.0 1.0
+
+# ------ Pour particles ------#
+
+molecule        my_mol "square.mol"
+
+# Wall region extends far enough in z to avoid contact
+region          wall block EDGE EDGE EDGE EDGE -5 5 side in open 4 units box
+region          drop block -16 16 70 90 EDGE EDGE side in units box
+
+fix             1 all rheo ${cut} quintic 0 &
+                           thermal &
+                           shift &
+                           surface/detection coordination 22 8
+fix             2 all rheo/viscosity * constant ${eta}
+fix             3 all rheo/pressure * linear
+fix             4 all rheo/thermal conductivity * constant ${kappa} &
+                                   specific/heat * constant ${Cv} &
+                                   Tfreeze * constant ${Tf} &
+                                   latent/heat * constant ${L} &
+                                   react 1.5 1
+fix             5 all wall/region wall harmonic 1.0 1.0 1.0
+fix             6 all gravity 5e-4 vector 0 -1 0
+fix             7 all deposit 8 0 1000 37241459 mol my_mol region drop near 2.0 vy -0.02 -0.02
+fix             8 all enforce2d
+
+compute         rho all rheo/property/atom rho
+compute         phase all rheo/property/atom phase
+compute         temp all rheo/property/atom temperature
+compute         eng all rheo/property/atom energy
+compute         nbond all nbond/atom
+
+# ------ Output & Run ------ #
+
+thermo          200
+thermo_style    custom step time ke press atoms
+
+#dump            1 all custom 200 atomDump id type x y vx vy fx fy c_phase c_temp c_eng c_nbond c_rho
+
+run             30000

examples/rheo/ice-cubes/log.17Apr2024.ice.g++.4

@@ -0,0 +1,379 @@
+LAMMPS (17 Apr 2024 - Development - patch_5May2020-18508-g3c0eaf6870-modified)
+# ------ 2D Ice Cube Pour ------ #
+
+dimension          2
+units              lj
+atom_style         hybrid rheo/thermal bond
+boundary           m m p
+comm_modify        vel yes
+newton             off
+special_bonds      lj 0.0 1.0 1.0 coul 1.0 1.0 1.0
+
+region             box block -25 25 0 100 -0.01 0.01 units box
+create_box         1 box bond/types 1 extra/bond/per/atom 15 extra/special/per/atom 50
+Created orthogonal box = (-25 0 -0.01) to (25 100 0.01)
+  2 by 2 by 1 MPI processor grid
+
+region             fluid block $(xlo+1) $(xhi-1) $(ylo+1) $(ylo+30) EDGE EDGE units box
+region             fluid block -24 $(xhi-1) $(ylo+1) $(ylo+30) EDGE EDGE units box
+region             fluid block -24 24 $(ylo+1) $(ylo+30) EDGE EDGE units box
+region             fluid block -24 24 1 $(ylo+30) EDGE EDGE units box
+region             fluid block -24 24 1 30 EDGE EDGE units box
+lattice            sq 1.0
+Lattice spacing in x,y,z = 1 1 1
+create_atoms       1 region fluid
+Created 1470 atoms
+  using lattice units in orthogonal box = (-25 0 -0.01) to (25 100 0.01)
+  create_atoms CPU = 0.001 seconds
+
+set                group all sph/e 8.0
+Setting atom values ...
+  1470 settings made for sph/e
+
+# ------ Model parameters ------#
+
+variable           cut equal 3.0
+variable           n equal 1.0
+variable           rho0 equal 1.0
+variable           cs equal 1.0
+variable           mp equal ${rho0}/${n}
+variable           mp equal 1/${n}
+variable           mp equal 1/1
+variable           zeta equal 0.05
+variable           kappa equal 0.01*${rho0}/${mp}
+variable           kappa equal 0.01*1/${mp}
+variable           kappa equal 0.01*1/1
+variable           dt_max equal 0.1*${cut}/${cs}/3
+variable           dt_max equal 0.1*3/${cs}/3
+variable           dt_max equal 0.1*3/1/3
+variable           eta equal 0.05
+variable           Cv equal 1.0
+variable           L equal 1.0
+variable           Tf equal 1.0
+
+mass               * ${mp}
+mass               * 1
+timestep           0.1
+
+pair_style         hybrid/overlay rheo ${cut} artificial/visc ${zeta} rheo/solid
+pair_style         hybrid/overlay rheo 3 artificial/visc ${zeta} rheo/solid
+pair_style         hybrid/overlay rheo 3 artificial/visc 0.05 rheo/solid
+pair_coeff         * * rheo
+pair_coeff         * * rheo/solid 1.0 1.0 1.0
+
+bond_style         bpm/spring
+bond_coeff         1 1.0 1.0 1.0
+
+# ------ Pour particles ------#
+
+molecule        my_mol "square.mol"
+Read molecule template my_mol:
+#Made with create_mol.py
+  1 molecules
+  0 fragments
+  100 atoms with max type 1
+  342 bonds with max type 1
+  0 angles with max type 0
+  0 dihedrals with max type 0
+  0 impropers with max type 0
+
+# Wall region extends far enough in z to avoid contact
+region          wall block EDGE EDGE EDGE EDGE -5 5 side in open 4 units box
+region          drop block -16 16 70 90 EDGE EDGE side in units box
+
+fix             1 all rheo ${cut} quintic 0                            thermal                            shift                            surface/detection coordination 22 8
+fix             1 all rheo 3 quintic 0                            thermal                            shift                            surface/detection coordination 22 8
+fix             2 all rheo/viscosity * constant ${eta}
+fix             2 all rheo/viscosity * constant 0.05
+fix             3 all rheo/pressure * linear
+fix             4 all rheo/thermal conductivity * constant ${kappa}                                    specific/heat * constant ${Cv}                                    Tfreeze * constant ${Tf}                                    latent/heat * constant ${L}                                    react 1.5 1
+fix             4 all rheo/thermal conductivity * constant 0.01                                    specific/heat * constant ${Cv}                                    Tfreeze * constant ${Tf}                                    latent/heat * constant ${L}                                    react 1.5 1
+fix             4 all rheo/thermal conductivity * constant 0.01                                    specific/heat * constant 1                                    Tfreeze * constant ${Tf}                                    latent/heat * constant ${L}                                    react 1.5 1
+fix             4 all rheo/thermal conductivity * constant 0.01                                    specific/heat * constant 1                                    Tfreeze * constant 1                                    latent/heat * constant ${L}                                    react 1.5 1
+fix             4 all rheo/thermal conductivity * constant 0.01                                    specific/heat * constant 1                                    Tfreeze * constant 1                                    latent/heat * constant 1                                    react 1.5 1
+fix             5 all wall/region wall harmonic 1.0 1.0 1.0
+fix             6 all gravity 5e-4 vector 0 -1 0
+fix             7 all deposit 8 0 1000 37241459 mol my_mol region drop near 2.0 vy -0.02 -0.02
+WARNING: Molecule attributes do not match system attributes (../molecule.cpp:1881)
+fix             8 all enforce2d
+
+compute         rho all rheo/property/atom rho
+compute         phase all rheo/property/atom phase
+compute         temp all rheo/property/atom temperature
+compute         eng all rheo/property/atom energy
+compute         nbond all nbond/atom
+
+# ------ Output & Run ------ #
+
+thermo          200
+thermo_style    custom step time ke press atoms
+
+dump            1 all custom 200 atomDump id type x y vx vy fx fy c_phase c_temp c_eng c_nbond c_rho
+
+run             30000
+
+CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE
+
+Your simulation uses code contributions which should be cited:
+
+- BPM bond style: doi:10.1039/D3SM01373A
+
+@Article{Clemmer2024,
+ author =  {Clemmer, Joel T. and Monti, Joseph M. and Lechman, Jeremy B.},
+ title =   {A soft departure from jamming: the compaction of deformable
+            granular matter under high pressures},
+ journal = {Soft Matter},
+ year =    2024,
+ volume =  20,
+ number =  8,
+ pages =   {1702--1718}
+}
+
+- @article{PalermoInPrep,
+ journal = {in prep},
+ title = {RHEO: A Hybrid Mesh-Free Model Framework for Dynamic Multi-Phase Flows},
+ year = {2024},
+ author = {Eric T. Palermo and Ki T. Wolf and Joel T. Clemmer and Thomas C. O'Connor},
+}
+
+- @article{ApplMathModel.130.310,
+ title = {A hybrid smoothed-particle hydrodynamics model of oxide skins on molten aluminum},
+ journal = {Applied Mathematical Modelling},
+ volume = {130},
+ pages = {310-326},
+ year = {2024},
+ issn = {0307-904X},
+ doi = {https://doi.org/10.1016/j.apm.2024.02.027},
+ author = {Joel T. Clemmer and Flint Pierce and Thomas C. O'Connor and Thomas D. Nevins and Elizabeth M.C. Jones and Jeremy B. Lechman and John Tencer},
+}
+
+CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE
+
+Generated 0 of 0 mixed pair_coeff terms from geometric mixing rule
+Neighbor list info ...
+  update: every = 1 steps, delay = 0 steps, check = yes
+  max neighbors/atom: 2000, page size: 100000
+  master list distance cutoff = 3.3
+  ghost atom cutoff = 3.3
+  binsize = 1.65, bins = 31 61 1
+  7 neighbor lists, perpetual/occasional/extra = 6 1 0
+  (1) pair rheo, perpetual, half/full from (3)
+      attributes: half, newton off
+      pair build: halffull/newtoff
+      stencil: none
+      bin: none
+  (2) pair rheo/solid, perpetual, trim from (4)
+      attributes: half, newton off, cut 1.3
+      pair build: trim
+      stencil: none
+      bin: none
+  (3) compute RHEO/KERNEL, perpetual
+      attributes: full, newton off
+      pair build: full/bin
+      stencil: full/bin/2d
+      bin: standard
+  (4) compute RHEO/GRAD, perpetual, copy from (1)
+      attributes: half, newton off
+      pair build: copy
+      stencil: none
+      bin: none
+  (5) compute RHEO/VSHIFT, perpetual, copy from (1)
+      attributes: half, newton off
+      pair build: copy
+      stencil: none
+      bin: none
+  (6) compute RHEO/SURFACE, perpetual, copy from (1)
+      attributes: half, newton off
+      pair build: copy
+      stencil: none
+      bin: none
+  (7) fix rheo/thermal, occasional, trim from (4)
+      attributes: half, newton off, cut 3
+      pair build: trim
+      stencil: none
+      bin: none
+Per MPI rank memory allocation (min/avg/max) = 15.53 | 15.61 | 15.69 Mbytes
+   Step          Time          KinEng         Press         Atoms   
+         0   0              0              0                   1470 
+       200   20             5.6002982e-05  3.4434234e-05       1570 
+       400   40             8.2173099e-05  8.6171768e-05       1570 
+       600   60             8.019018e-05   0.00010750355       1570 
+       800   80             0.00013866953  0.00010265608       1570 
+      1000   100            0.00018965028  8.1985605e-05       1570 
+      1200   120            0.00022033242  7.4736443e-05       1670 
+      1400   140            0.00030767062  0.00011264333       1670 
+      1600   160            0.00040770127  0.00018779992       1670 
+      1800   180            0.00047476332  0.00023153009       1670 
+      2000   200            0.00059116774  0.00027200445       1670 
+      2200   220            0.0007151733   0.0002919963        1770 
+      2400   240            0.00083392135  0.00029757889       1770 
+      2600   260            0.00099653466  0.00036547269       1770 
+      2800   280            0.0011964069   0.00045983458       1770 
+      3000   300            0.0013716953   0.00055013647       1770 
+      3200   320            0.0015174096   0.00064203572       1870 
+      3400   340            0.0016539743   0.00086671622       1870 
+      3600   360            0.0015887858   0.00066353749       1870 
+      3800   380            0.0016451684   0.00070551483       1870 
+      4000   400            0.0017330971   0.00080722283       1870 
+      4200   420            0.001812193    0.00073573903       1970 
+      4400   440            0.001755871    0.0010621909        1970 
+      4600   460            0.0016190772   0.00072913706       1970 
+      4800   480            0.0015741931   0.00073524088       1970 
+      5000   500            0.0016488815   0.00088684275       1970 
+      5200   520            0.0017213288   0.00077042378       2070 
+      5400   540            0.0018509598   0.0010219434        2070 
+      5600   560            0.0020251064   0.00083182483       2070 
+      5800   580            0.0022473255   0.00095076144       2070 
+      6000   600            0.0024843519   0.0011247014        2070 
+      6200   620            0.0022282321   0.0018105932        2170 
+      6400   640            0.0020289063   0.0014158497        2170 
+      6600   660            0.002145241    0.0011359383        2170 
+      6800   680            0.0024313937   0.0016475504        2170 
+      7000   700            0.0021000599   0.0020983745        2170 
+      7200   720            0.0019137235   0.0010439152        2270 
+      7400   740            0.0018801367   0.00095436448       2270 
+      7600   760            0.0017979449   0.0011184039        2270 
+      7800   780            0.0018005205   0.0009243205        2270 
+      8000   800            0.0017827073   0.0013671228        2270 
+      8200   820            0.0018387108   0.0015426012        2270 
+      8400   840            0.0016000788   0.0016751514        2270 
+      8600   860            0.0013954964   0.0016884335        2270 
+      8800   880            0.0013283728   0.0012399398        2270 
+      9000   900            0.001389385    0.0012968496        2270 
+      9200   920            0.0012295438   0.0012995821        2270 
+      9400   940            0.0010522655   0.00082245528       2270 
+      9600   960            0.00097085496  0.00053833131       2270 
+      9800   980            0.0009398987   0.00063467387       2270 
+     10000   1000           0.00092710392  0.00059494446       2270 
+     10200   1020           0.00095545471  0.00074560644       2270 
+     10400   1040           0.0009645841   0.00085429807       2270 
+     10600   1060           0.00064037148  0.0017222246        2270 
+     10800   1080           0.00046790978  0.00088204234       2270 
+     11000   1100           0.00030106229  0.00074950209       2270 
+     11200   1120           0.00027746016  0.00052831745       2270 
+     11400   1140           0.0002533348   0.0006272715        2270 
+     11600   1160           0.00021825085  0.00029691552       2270 
+     11800   1180           0.0001451308   0.00015037478       2270 
+     12000   1200           0.0001314823   0.00017227174       2270 
+     12200   1220           0.00013693632  0.00017791384       2270 
+     12400   1240           0.00014987347  0.0002286677        2270 
+     12600   1260           0.00015092598  0.0003698436        2270 
+     12800   1280           0.0001291653   0.00047229532       2270 
+     13000   1300           0.00011949988  0.00049560375       2270 
+     13200   1320           0.00011694665  0.00057542084       2270 
+     13400   1340           9.6164519e-05  0.00062714755       2270 
+     13600   1360           8.4517591e-05  0.00044156913       2270 
+     13800   1380           0.00019140516  0.0003264745        2270 
+     14000   1400           0.00013868599  0.00037753497       2270 
+     14200   1420           9.3701636e-05  0.00031517848       2270 
+     14400   1440           6.7389077e-05  0.0002946861        2270 
+     14600   1460           5.3640086e-05  0.00026650711       2270 
+     14800   1480           4.2699992e-05  0.00023789279       2270 
+     15000   1500           5.3012016e-05  0.00019933234       2270 
+     15200   1520           5.8834197e-05  0.00022407007       2270 
+     15400   1540           5.0899982e-05  0.00029695531       2270 
+     15600   1560           3.0476742e-05  0.00039119066       2270 
+     15800   1580           1.6633264e-05  0.00033770401       2270 
+     16000   1600           1.098906e-05   0.00036684894       2270 
+     16200   1620           1.464848e-05   0.00036449759       2270 
+     16400   1640           1.9598429e-05  0.00021056689       2270 
+     16600   1660           1.2644955e-05  0.00020781781       2270 
+     16800   1680           8.8428553e-06  0.000165            2270 
+     17000   1700           8.8971439e-06  0.00012266475       2270 
+     17200   1720           1.7032781e-05  0.00019873443       2270 
+     17400   1740           1.9448563e-05  0.00025661663       2270 
+     17600   1760           1.3714713e-05  0.000324022         2270 
+     17800   1780           9.1326468e-06  0.00031392513       2270 
+     18000   1800           9.2464802e-06  0.00029729527       2270 
+     18200   1820           1.5553042e-05  0.00027488475       2270 
+     18400   1840           1.4132933e-05  0.00019565459       2270 
+     18600   1860           9.4734832e-06  0.00016716988       2270 
+     18800   1880           5.5115145e-06  0.00013728033       2270 
+     19000   1900           8.268812e-06   0.00015119605       2270 
+     19200   1920           1.2470136e-05  0.00020222131       2270 
+     19400   1940           9.9387775e-06  0.00024503373       2270 
+     19600   1960           5.4241999e-06  0.00026921858       2270 
+     19800   1980           2.7987348e-06  0.00026201267       2270 
+     20000   2000           6.272538e-06   0.00025626323       2270 
+     20200   2020           8.0157781e-06  0.000220139         2270 
+     20400   2040           6.1652093e-06  0.00017089058       2270 
+     20600   2060           2.9967592e-06  0.00014582864       2270 
+     20800   2080           3.016678e-06   0.000148629         2270 
+     21000   2100           7.287645e-06   0.00016486102       2270 
+     21200   2120           8.6905277e-06  0.00020276916       2270 
+     21400   2140           6.8453018e-06  0.00023156153       2270 
+     21600   2160           3.3853799e-06  0.0002432462        2270 
+     21800   2180           4.1241209e-06  0.00022829024       2270 
+     22000   2200           7.0802396e-06  0.00020784823       2270 
+     22200   2220           7.3361691e-06  0.00018114134       2270 
+     22400   2240           5.0764593e-06  0.00014351106       2270 
+     22600   2260           2.7487537e-06  0.00012919872       2270 
+     22800   2280           4.620167e-06   0.00013746218       2270 
+     23000   2300           6.9819357e-06  0.00015985102       2270 
+     23200   2320           6.8923916e-06  0.00018713045       2270 
+     23400   2340           4.1795088e-06  0.00019846682       2270 
+     23600   2360           2.2871028e-06  0.00021068421       2270 
+     23800   2380           3.862046e-06   0.00019553306       2270 
+     24000   2400           5.2448555e-06  0.00017398041       2270 
+     24200   2420           4.7565441e-06  0.00015008142       2270 
+     24400   2440           2.2952135e-06  0.00012747106       2270 
+     24600   2460           2.1575617e-06  0.00012516996       2270 
+     24800   2480           4.1777868e-06  0.0001331902        2270 
+     25000   2500           5.5679133e-06  0.00015504562       2270 
+     25200   2520           4.5758741e-06  0.00017146032       2270 
+     25400   2540           2.3403277e-06  0.00017611666       2270 
+     25600   2560           2.7029302e-06  0.00016850788       2270 
+     25800   2580           4.3601102e-06  0.00015884642       2270 
+     26000   2600           5.2244249e-06  0.00013793898       2270 
+     26200   2620           3.4577672e-06  0.00012395875       2270 
+     26400   2640           2.361577e-06   0.00011600057       2270 
+     26600   2660           2.8515644e-06  0.00011277063       2270 
+     26800   2680           4.0851213e-06  0.0001290832        2270 
+     27000   2700           4.2579644e-06  0.0001476495        2270 
+     27200   2720           2.6593858e-06  0.00015977745       2270 
+     27400   2740           1.990115e-06   0.00015612787       2270 
+     27600   2760           2.6756835e-06  0.00014913772       2270 
+     27800   2780           3.9032806e-06  0.00014014763       2270 
+     28000   2800           3.2729446e-06  0.00012216846       2270 
+     28200   2820           1.9357278e-06  0.00011078621       2270 
+     28400   2840           1.7094832e-06  0.00010910509       2270 
+     28600   2860           2.8731406e-06  0.00011179644       2270 
+     28800   2880           3.7062354e-06  0.00012254091       2270 
+     29000   2900           2.7844262e-06  0.00013060331       2270 
+     29200   2920           1.7680655e-06  0.00013797514       2270 
+     29400   2940           1.706873e-06   0.0001350685        2270 
+     29600   2960           2.8764562e-06  0.00012428508       2270 
+     29800   2980           3.1502029e-06  0.00011456718       2270 
+     30000   3000           2.1833409e-06  0.00010317469       2270 
+Loop time of 165.611 on 4 procs for 30000 steps with 2270 atoms
+
+Performance: 1565111.240 tau/day, 181.147 timesteps/s, 411.204 katom-step/s
+99.7% CPU use with 4 MPI tasks x no OpenMP threads
+
+MPI task timing breakdown:
+Section |  min time  |  avg time  |  max time  |%varavg| %total
+---------------------------------------------------------------
+Pair    | 0.63183    | 21.226     | 42.266     | 444.6 | 12.82
+Bond    | 0.095073   | 0.17799    | 0.27877    |  17.0 |  0.11
+Neigh   | 2.0745     | 2.0781     | 2.0822     |   0.2 |  1.25
+Comm    | 0.32024    | 0.38703    | 0.45564    |   8.1 |  0.23
+Output  | 0.60459    | 0.76798    | 0.93724    |  18.6 |  0.46
+Modify  | 119.85     | 140.76     | 161.36     | 172.2 | 85.00
+Other   |            | 0.2124     |            |       |  0.13
+
+Nlocal:          567.5 ave        1139 max           0 min
+Histogram: 2 0 0 0 0 0 0 0 0 2
+Nghost:           75.5 ave         152 max           0 min
+Histogram: 2 0 0 0 0 0 0 0 0 2
+Neighs:        9238.25 ave       18490 max           0 min
+Histogram: 2 0 0 0 0 0 0 0 0 2
+FullNghs:        17945 ave       35917 max           0 min
+Histogram: 2 0 0 0 0 0 0 0 0 2
+
+Total # of neighbors = 71780
+Ave neighs/atom = 31.621145
+Ave special neighs/atom = 0.22026432
+Neighbor list builds = 2071
+Dangerous builds = 0
+
+Total wall time: 0:02:45

examples/rheo/ice-cubes/square.mol

@@ -0,0 +1,658 @@
+#Made with create_mol.py
+
+100 atoms 
+342 bonds 
+
+Coords
+#ID x y z
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+
+Types
+#ID type
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+Masses
+#ID mass
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+Bonds
+#ID type atom1 atom2
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+342 1 99 100

examples/rheo/oxidation/in.rheo.oxidation

@@ -0,0 +1,102 @@
+# ------ 2D oxidizing bar ------ #
+
+dimension          2
+units              lj
+atom_style         hybrid rheo/thermal bond
+boundary           m m p
+comm_modify        vel yes
+newton             off
+
+region             box block -60 60 0 80 -0.01 0.01 units box
+create_box         3 box bond/types 2 extra/bond/per/atom 20 extra/special/per/atom 50
+
+region             lbar block -15 0 3 80 EDGE EDGE units box
+region             rbar block 0 15 3 80 EDGE EDGE units box
+region             bar union 2 lbar rbar
+region             floor block EDGE EDGE EDGE 3.0 EDGE EDGE units box
+
+lattice            hex 1.0
+create_atoms       1 region bar
+create_atoms       3 region floor
+
+set                region rbar type 2
+group              bar type 1 2
+group              rbar type 2
+group              floor type 3
+
+set                group all sph/e 0.0
+set                group all rheo/status 1
+
+# ------ Model parameters ------#
+
+variable           cut equal 3.0
+variable           n equal 1.0
+variable           rho0 equal 1.0
+variable           cs equal 1.0
+variable           mp equal ${rho0}/${n}
+variable           zeta equal 0.05
+variable           kappa equal 0.1*${rho0}/${mp}
+variable           dt_max equal 0.1*${cut}/${cs}/3
+variable           eta equal 0.05
+variable           Cv equal 1.0
+variable           L equal 0.1
+variable           Tf equal 1.0
+
+mass               * ${mp}
+timestep           0.1
+
+pair_style         hybrid/overlay rheo ${cut} artificial/visc ${zeta} rheo/solid
+pair_coeff         * * rheo
+pair_coeff         * * rheo/solid 1.0 1.0 1.0
+
+special_bonds      lj 0.0 1.0 1.0 coul 0.0 1.0 1.0
+create_bonds       many bar bar 1 0 1.5
+special_bonds      lj 0.0 1.0 1.0 coul 1.0 1.0 1.0
+
+bond_style         hybrid bpm/spring rheo/shell t/form 100
+bond_coeff         1 bpm/spring 1.0 1.0 1.0
+bond_coeff         2 rheo/shell 0.2 0.2 0.1
+
+# ------ Apply dynamics ------#
+
+# Note: surface detection is not performed on solid bodies, so cannot use surface property
+compute         coord all rheo/property/atom coordination
+variable        surf atom c_coord<22
+group           surf dynamic all var surf every 10
+
+fix             1 all rheo ${cut} quintic 0 &
+                           thermal &
+                           shift &
+                           surface/detection coordination 22 8
+fix             2 all rheo/viscosity * constant ${eta}
+fix             3 all rheo/pressure * linear
+fix             4 all rheo/thermal conductivity * constant ${kappa} &
+                                   specific/heat * constant ${Cv} &
+                                   Tfreeze * constant ${Tf} &
+                                   latent/heat * constant ${L} &
+                                   react 1.5 1
+
+fix             5 rbar rheo/oxidation 1.5 2 1.0
+fix             6 all wall/harmonic ylo EDGE 2.0 1.0 1.0
+fix             7 all gravity 5e-5 vector 0 -1 0
+fix             8 floor setforce 0.0 0.0 0.0
+fix             9 surf add/heat linear 1.1 0.05
+fix             10 floor add/heat constant 0 overwrite yes # fix the temperature of the floor
+fix             11 all enforce2d
+
+compute         surf all rheo/property/atom surface
+compute         rho all rheo/property/atom rho
+compute         phase all rheo/property/atom phase
+compute         temp all rheo/property/atom temperature
+compute         eng all rheo/property/atom energy
+compute         nbond_shell all rheo/property/atom nbond/shell
+compute         nbond_solid all nbond/atom bond/type 1
+
+# ------ Output & Run ------ #
+
+thermo          200
+thermo_style    custom step time ke press atoms
+
+#dump            1 all custom 200 atomDump id type x y vx vy fx fy c_phase c_temp c_eng c_nbond_solid c_nbond_shell c_rho c_surf
+
+run             40000

examples/rheo/oxidation/log.17Apr2024.oxidation.g++.4

@@ -0,0 +1,488 @@
+LAMMPS (17 Apr 2024 - Development - patch_5May2020-18508-g3c0eaf6870-modified)
+# ------ 2D oxidizing bar ------ #
+
+dimension          2
+units              lj
+atom_style         hybrid rheo/thermal bond
+boundary           m m p
+comm_modify        vel yes
+newton             off
+
+region             box block -60 60 0 80 -0.01 0.01 units box
+create_box         3 box bond/types 2 extra/bond/per/atom 20 extra/special/per/atom 50
+Created orthogonal box = (-60 0 -0.01) to (60 80 0.01)
+  2 by 2 by 1 MPI processor grid
+
+region             lbar block -15 0 3 80 EDGE EDGE units box
+region             rbar block 0 15 3 80 EDGE EDGE units box
+region             bar union 2 lbar rbar
+region             floor block EDGE EDGE EDGE 3.0 EDGE EDGE units box
+
+lattice            hex 1.0
+Lattice spacing in x,y,z = 1.0745699 1.8612097 1.0745699
+create_atoms       1 region bar
+Created 2255 atoms
+  using lattice units in orthogonal box = (-60 0 -0.01) to (60 80 0.01)
+  create_atoms CPU = 0.001 seconds
+create_atoms       3 region floor
+Created 446 atoms
+  using lattice units in orthogonal box = (-60 0 -0.01) to (60 80 0.01)
+  create_atoms CPU = 0.000 seconds
+
+set                region rbar type 2
+Setting atom values ...
+  1148 settings made for type
+group              bar type 1 2
+2255 atoms in group bar
+group              rbar type 2
+1148 atoms in group rbar
+group              floor type 3
+446 atoms in group floor
+
+set                group all sph/e 0.0
+Setting atom values ...
+  2701 settings made for sph/e
+set                group all rheo/status 1
+Setting atom values ...
+  2701 settings made for rheo/status
+
+# ------ Model parameters ------#
+
+variable           cut equal 3.0
+variable           n equal 1.0
+variable           rho0 equal 1.0
+variable           cs equal 1.0
+variable           mp equal ${rho0}/${n}
+variable           mp equal 1/${n}
+variable           mp equal 1/1
+variable           zeta equal 0.05
+variable           kappa equal 0.1*${rho0}/${mp}
+variable           kappa equal 0.1*1/${mp}
+variable           kappa equal 0.1*1/1
+variable           dt_max equal 0.1*${cut}/${cs}/3
+variable           dt_max equal 0.1*3/${cs}/3
+variable           dt_max equal 0.1*3/1/3
+variable           eta equal 0.05
+variable           Cv equal 1.0
+variable           L equal 0.1
+variable           Tf equal 1.0
+
+mass               * ${mp}
+mass               * 1
+timestep           0.1
+
+pair_style         hybrid/overlay rheo ${cut} artificial/visc ${zeta} rheo/solid
+pair_style         hybrid/overlay rheo 3 artificial/visc ${zeta} rheo/solid
+pair_style         hybrid/overlay rheo 3 artificial/visc 0.05 rheo/solid
+pair_coeff         * * rheo
+pair_coeff         * * rheo/solid 1.0 1.0 1.0
+
+special_bonds      lj 0.0 1.0 1.0 coul 0.0 1.0 1.0
+Finding 1-2 1-3 1-4 neighbors ...
+  special bond factors lj:    0        1        1       
+  special bond factors coul:  0        1        1       
+     0 = max # of 1-2 neighbors
+   101 = max # of special neighbors
+  special bonds CPU = 0.000 seconds
+create_bonds       many bar bar 1 0 1.5
+Generated 0 of 3 mixed pair_coeff terms from geometric mixing rule
+Neighbor list info ...
+  update: every = 1 steps, delay = 0 steps, check = yes
+  max neighbors/atom: 2000, page size: 100000
+  master list distance cutoff = 3.3
+  ghost atom cutoff = 3.3
+  binsize = 1.65, bins = 73 49 1
+  3 neighbor lists, perpetual/occasional/extra = 2 1 0
+  (1) command create_bonds, occasional
+      attributes: full, newton off
+      pair build: full/bin
+      stencil: full/bin/2d
+      bin: standard
+  (2) pair rheo, perpetual
+      attributes: half, newton off
+      pair build: half/bin/newtoff
+      stencil: full/bin/2d
+      bin: standard
+  (3) pair rheo/solid, perpetual, trim from (2)
+      attributes: half, newton off, cut 1.3
+      pair build: trim
+      stencil: none
+      bin: none
+Added 6547 bonds, new total = 6547
+Finding 1-2 1-3 1-4 neighbors ...
+  special bond factors lj:    0        1        1       
+  special bond factors coul:  0        1        1       
+     6 = max # of 1-2 neighbors
+   101 = max # of special neighbors
+  special bonds CPU = 0.000 seconds
+special_bonds      lj 0.0 1.0 1.0 coul 1.0 1.0 1.0
+
+bond_style         hybrid bpm/spring rheo/shell t/form 100
+bond_coeff         1 bpm/spring 1.0 1.0 1.0
+bond_coeff         2 rheo/shell 0.2 0.2 0.1
+
+# ------ Apply dynamics ------#
+
+# Note: surface detection is not performed on solid bodies, so cannot use surface property
+compute         coord all rheo/property/atom coordination
+variable        surf atom c_coord<22
+group           surf dynamic all var surf every 10
+dynamic group surf defined
+
+fix             1 all rheo ${cut} quintic 0                            thermal                            shift                            surface/detection coordination 22 8
+fix             1 all rheo 3 quintic 0                            thermal                            shift                            surface/detection coordination 22 8
+fix             2 all rheo/viscosity * constant ${eta}
+fix             2 all rheo/viscosity * constant 0.05
+fix             3 all rheo/pressure * linear
+fix             4 all rheo/thermal conductivity * constant ${kappa}                                    specific/heat * constant ${Cv}                                    Tfreeze * constant ${Tf}                                    latent/heat * constant ${L}                                    react 1.5 1
+fix             4 all rheo/thermal conductivity * constant 0.1                                    specific/heat * constant ${Cv}                                    Tfreeze * constant ${Tf}                                    latent/heat * constant ${L}                                    react 1.5 1
+fix             4 all rheo/thermal conductivity * constant 0.1                                    specific/heat * constant 1                                    Tfreeze * constant ${Tf}                                    latent/heat * constant ${L}                                    react 1.5 1
+fix             4 all rheo/thermal conductivity * constant 0.1                                    specific/heat * constant 1                                    Tfreeze * constant 1                                    latent/heat * constant ${L}                                    react 1.5 1
+fix             4 all rheo/thermal conductivity * constant 0.1                                    specific/heat * constant 1                                    Tfreeze * constant 1                                    latent/heat * constant 0.1                                    react 1.5 1
+
+fix             5 rbar rheo/oxidation 1.5 2 1.0
+fix             6 all wall/harmonic ylo EDGE 2.0 1.0 1.0
+fix             7 all gravity 5e-5 vector 0 -1 0
+fix             8 floor setforce 0.0 0.0 0.0
+fix             9 surf add/heat linear 1.1 0.05
+fix             10 floor add/heat constant 0 overwrite yes # fix the temperature of the floor
+fix             11 all enforce2d
+
+compute         surf all rheo/property/atom surface
+compute         rho all rheo/property/atom rho
+compute         phase all rheo/property/atom phase
+compute         status all rheo/property/atom status
+compute         temp all rheo/property/atom temperature
+compute         eng all rheo/property/atom energy
+compute         nbond_shell all rheo/property/atom nbond/shell
+compute         nbond_solid all nbond/atom bond/type 1
+
+# ------ Output & Run ------ #
+
+thermo          200
+thermo_style    custom step time ke press atoms
+
+dump            1 all custom 200 atomDump id type x y vx vy fx fy c_phase c_temp c_eng c_nbond_solid c_nbond_shell c_rho c_surf c_status
+
+run             40000
+
+CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE
+
+Your simulation uses code contributions which should be cited:
+
+- BPM bond style: doi:10.1039/D3SM01373A
+
+@Article{Clemmer2024,
+ author =  {Clemmer, Joel T. and Monti, Joseph M. and Lechman, Jeremy B.},
+ title =   {A soft departure from jamming: the compaction of deformable
+            granular matter under high pressures},
+ journal = {Soft Matter},
+ year =    2024,
+ volume =  20,
+ number =  8,
+ pages =   {1702--1718}
+}
+
+- @article{PalermoInPrep,
+ journal = {in prep},
+ title = {RHEO: A Hybrid Mesh-Free Model Framework for Dynamic Multi-Phase Flows},
+ year = {2024},
+ author = {Eric T. Palermo and Ki T. Wolf and Joel T. Clemmer and Thomas C. O'Connor},
+}
+
+- @article{ApplMathModel.130.310,
+ title = {A hybrid smoothed-particle hydrodynamics model of oxide skins on molten aluminum},
+ journal = {Applied Mathematical Modelling},
+ volume = {130},
+ pages = {310-326},
+ year = {2024},
+ issn = {0307-904X},
+ doi = {https://doi.org/10.1016/j.apm.2024.02.027},
+ author = {Joel T. Clemmer and Flint Pierce and Thomas C. O'Connor and Thomas D. Nevins and Elizabeth M.C. Jones and Jeremy B. Lechman and John Tencer},
+}
+
+CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE
+
+Generated 0 of 3 mixed pair_coeff terms from geometric mixing rule
+Neighbor list info ...
+  update: every = 1 steps, delay = 0 steps, check = yes
+  max neighbors/atom: 2000, page size: 100000
+  master list distance cutoff = 3.3
+  ghost atom cutoff = 3.3
+  binsize = 1.65, bins = 73 49 1
+  8 neighbor lists, perpetual/occasional/extra = 7 1 0
+  (1) pair rheo, perpetual, half/full from (3)
+      attributes: half, newton off
+      pair build: halffull/newtoff
+      stencil: none
+      bin: none
+  (2) pair rheo/solid, perpetual, trim from (4)
+      attributes: half, newton off, cut 1.3
+      pair build: trim
+      stencil: none
+      bin: none
+  (3) compute RHEO/KERNEL, perpetual
+      attributes: full, newton off
+      pair build: full/bin
+      stencil: full/bin/2d
+      bin: standard
+  (4) compute RHEO/GRAD, perpetual, copy from (1)
+      attributes: half, newton off
+      pair build: copy
+      stencil: none
+      bin: none
+  (5) compute RHEO/VSHIFT, perpetual, copy from (1)
+      attributes: half, newton off
+      pair build: copy
+      stencil: none
+      bin: none
+  (6) compute RHEO/SURFACE, perpetual, copy from (1)
+      attributes: half, newton off
+      pair build: copy
+      stencil: none
+      bin: none
+  (7) fix rheo/thermal, occasional, trim from (4)
+      attributes: half, newton off, cut 3
+      pair build: trim
+      stencil: none
+      bin: none
+  (8) fix rheo/oxidation, perpetual, trim from (3)
+      attributes: full, newton off, cut 1.8
+      pair build: trim
+      stencil: none
+      bin: none
+Per MPI rank memory allocation (min/avg/max) = 25.96 | 25.96 | 25.96 Mbytes
+   Step          Time          KinEng         Press         Atoms   
+         0   0              0              0                   2701 
+       200   20             4.1743799e-07  1.1743617e-07       2701 
+       400   40             1.6697519e-06  4.6974469e-07       2701 
+       600   60             3.7127333e-06  1.0646825e-05       2701 
+       800   80             4.6683656e-06  0.00015182605       2701 
+      1000   100            4.7368707e-06  0.00028128761       2701 
+      1200   120            3.4384322e-06  0.00045913378       2701 
+      1400   140            1.4119866e-06  0.00055627091       2701 
+      1600   160            4.4114517e-07  0.00058247308       2701 
+      1800   180            4.8289229e-07  0.0005510948        2701 
+      2000   200            1.8494183e-06  0.00048386222       2701 
+      2200   220            3.3319816e-06  0.00037903264       2701 
+      2400   240            3.8128922e-06  0.00024115906       2701 
+      2600   260            3.1943401e-06  9.727407e-05        2701 
+      2800   280            1.6172816e-06 -2.632162e-05        2701 
+      3000   300            3.6100709e-07 -8.5761867e-05       2701 
+      3200   320            1.4745502e-07 -5.9204127e-05       2701 
+      3400   340            8.3369782e-07  8.8312464e-07       2701 
+      3600   360            2.0484052e-06  5.8521477e-05       2701 
+      3800   380            3.1639387e-06  0.0001685663        2701 
+      4000   400            3.1692907e-06  0.00026875988       2701 
+      4200   420            2.391933e-06   0.00038621787       2701 
+      4400   440            1.1964404e-06  0.00048901286       2701 
+      4600   460            4.0508824e-07  0.00051863639       2701 
+      4800   480            5.4908507e-07  0.00049263754       2701 
+      5000   500            1.3139665e-06  0.00041984264       2701 
+      5200   520            2.1939161e-06  0.00033095351       2701 
+      5400   540            2.3687031e-06  0.00022422981       2701 
+      5600   560            1.8280882e-06  0.00011544328       2701 
+      5800   580            8.8610517e-07  2.9307791e-05       2701 
+      6000   600            2.0989359e-07 -1.7340941e-05       2701 
+      6200   620            2.8658301e-07 -8.1237835e-06       2701 
+      6400   640            9.7636239e-07  4.3755922e-05       2701 
+      6600   660            1.891303e-06   0.0001185719        2701 
+      6800   680            2.4149904e-06  0.00020830273       2701 
+      7000   700            2.3174953e-06  0.00030114767       2701 
+      7200   720            1.7918612e-06  0.00037821537       2701 
+      7400   740            1.2114987e-06  0.0004233475        2701 
+      7600   760            9.9661553e-07  0.00042958263       2701 
+      7800   780            1.1552559e-06  0.00039944618       2701 
+      8000   800            1.5249138e-06  0.00034034478       2701 
+      8200   820            1.7453861e-06  0.00026826463       2701 
+      8400   840            1.6259021e-06  0.00019131768       2701 
+      8600   860            1.2612805e-06  0.0001162957        2701 
+      8800   880            8.6964518e-07  7.1771506e-05       2701 
+      9000   900            7.6892472e-07  5.6170687e-05       2701 
+      9200   920            1.0780045e-06  7.1925995e-05       2701 
+      9400   940            1.6514902e-06  0.00011635293       2701 
+      9600   960            2.1891377e-06  0.00017599885       2701 
+      9800   980            2.4551701e-06  0.00024127934       2701 
+     10000   1000           2.4277051e-06  0.00029918622       2701 
+     10200   1020           2.2655987e-06  0.00034067996       2701 
+     10400   1040           2.1767207e-06  0.00035598133       2701 
+     10600   1060           2.2796719e-06  0.00034359076       2701 
+     10800   1080           2.4884225e-06  0.00030749714       2701 
+     11000   1100           2.6387215e-06  0.00025725198       2701 
+     11200   1120           2.5968908e-06  0.00020170699       2701 
+     11400   1140           2.4108931e-06  0.00015185858       2701 
+     11600   1160           2.2375166e-06  0.00011800349       2701 
+     11800   1180           2.2407196e-06  0.00010646971       2701 
+     12000   1200           2.4845263e-06  0.00011817498       2701 
+     12200   1220           2.8733204e-06  0.00015013186       2701 
+     12400   1240           3.2437087e-06  0.00019211975       2701 
+     12600   1260           3.4732728e-06  0.00023620276       2701 
+     12800   1280           3.5836611e-06  0.00027352269       2701 
+     13000   1300           3.6592211e-06  0.00029533734       2701 
+     13200   1320           3.782506e-06   0.00030032559       2701 
+     13400   1340           3.9807086e-06  0.00028395722       2701 
+     13600   1360           4.2023176e-06  0.00025390325       2701 
+     13800   1380           4.3559781e-06  0.00021794236       2701 
+     14000   1400           4.4273371e-06  0.00018026034       2701 
+     14200   1420           4.49867e-06    0.0001526569        2701 
+     14400   1440           4.6591574e-06  0.00013707051       2701 
+     14600   1460           4.9589583e-06  0.00013803875       2701 
+     14800   1480           5.3859375e-06  0.00015455425       2701 
+     15000   1500           5.8639557e-06  0.00017954785       2701 
+     15200   1520           6.3075561e-06  0.0002084257        2701 
+     15400   1540           6.7022179e-06  0.0002347669        2701 
+     15600   1560           7.0789688e-06  0.00025020766       2701 
+     15800   1580           7.4734777e-06  0.00025394845       2701 
+     16000   1600           7.8884743e-06  0.00024571725       2701 
+     16200   1620           8.3224059e-06  0.00022706648       2701 
+     16400   1640           8.7337783e-06  0.00020320706       2701 
+     16600   1660           9.1454649e-06  0.00017824346       2701 
+     16800   1680           9.5948793e-06  0.00015961835       2701 
+     17000   1700           1.0106407e-05  0.00015135471       2701 
+     17200   1720           1.0707273e-05  0.00015166884       2701 
+     17400   1740           1.1392597e-05  0.0001645916        2701 
+     17600   1760           1.2118829e-05  0.00018119729       2701 
+     17800   1780           1.2846056e-05  0.0002003616        2701 
+     18000   1800           1.3555288e-05  0.00021585952       2701 
+     18200   1820           1.4301024e-05  0.00022290158       2701 
+     18400   1840           1.5089217e-05  0.00021970192       2701 
+     18600   1860           1.5902351e-05  0.00020911128       2701 
+     18800   1880           1.6753175e-05  0.00019278718       2701 
+     19000   1900           1.7602996e-05  0.00017584076       2701 
+     19200   1920           1.8479378e-05  0.00016206226       2701 
+     19400   1940           1.9421603e-05  0.00015575677       2701 
+     19600   1960           2.0477421e-05  0.00015687558       2701 
+     19800   1980           2.1617288e-05  0.00016424998       2701 
+     20000   2000           2.2814347e-05  0.00017466664       2701 
+     20200   2020           2.4029097e-05  0.00018647149       2701 
+     20400   2040           2.5255953e-05  0.00019516077       2701 
+     20600   2060           2.649418e-05   0.00019906384       2701 
+     20800   2080           2.7755897e-05  0.00019630586       2701 
+     21000   2100           2.9067854e-05  0.00018674721       2701 
+     21200   2120           3.0396477e-05  0.0001758048        2701 
+     21400   2140           3.1759719e-05  0.00016782801       2701 
+     21600   2160           3.3193597e-05  0.00016324138       2701 
+     21800   2180           3.4729384e-05  0.00016124274       2701 
+     22000   2200           3.6367594e-05  0.00016437457       2701 
+     22200   2220           3.8095131e-05  0.00017015573       2701 
+     22400   2240           3.9867003e-05  0.00017649465       2701 
+     22600   2260           4.169511e-05   0.00018111374       2701 
+     22800   2280           4.3566134e-05  0.00018104136       2701 
+     23000   2300           4.5461538e-05  0.00017822707       2701 
+     23200   2320           4.7377333e-05  0.00017285066       2701 
+     23400   2340           4.9354403e-05  0.00016826524       2701 
+     23600   2360           5.1399791e-05  0.00016517913       2701 
+     23800   2380           5.3510931e-05  0.00016299649       2701 
+     24000   2400           5.5681048e-05  0.00016256674       2701 
+     24200   2420           5.7902429e-05  0.00016513449       2701 
+     24400   2440           6.0216049e-05  0.00016895109       2701 
+     24600   2460           6.270982e-05   0.00016946227       2701 
+     24800   2480           6.5390117e-05  0.00016589426       2701 
+     25000   2500           6.8121899e-05  0.00016241676       2701 
+     25200   2520           7.0947331e-05  0.00015624292       2701 
+     25400   2540           7.4304148e-05  0.0001449537        2701 
+     25600   2560           7.7745077e-05  0.00013179658       2701 
+     25800   2580           8.0739829e-05  0.00013098838       2701 
+     26000   2600           8.3827874e-05  0.00014278841       2701 
+     26200   2620           8.7060677e-05  0.00015381649       2701 
+     26400   2640           9.0266508e-05  0.00016130999       2701 
+     26600   2660           9.3339049e-05  0.00016908268       2701 
+     26800   2680           9.6347013e-05  0.00016771087       2701 
+     27000   2700           9.9294711e-05  0.00016577315       2701 
+     27200   2720           0.00010230007  0.0001670893        2701 
+     27400   2740           0.00010547172  0.00016569077       2701 
+     27600   2760           0.00010872426  0.00016506303       2701 
+     27800   2780           0.00011201844  0.00016482702       2701 
+     28000   2800           0.00011532129  0.00016694886       2701 
+     28200   2820           0.00011869854  0.00016163005       2701 
+     28400   2840           0.00012209747  0.00015339281       2701 
+     28600   2860           0.00012549322  0.00014765883       2701 
+     28800   2880           0.00012898685  0.00014241765       2701 
+     29000   2900           0.00013259039  0.00014215724       2701 
+     29200   2920           0.00013628209  0.00014881155       2701 
+     29400   2940           0.00014001213  0.00015671333       2701 
+     29600   2960           0.00014379216  0.00016446215       2701 
+     29800   2980           0.00014764687  0.0001639602        2701 
+     30000   3000           0.00015142301  0.00015664816       2701 
+     30200   3020           0.00015496407  0.00015545099       2701 
+     30400   3040           0.00015797338  0.00015368625       2701 
+     30600   3060           0.00016042141  0.00015679918       2701 
+     30800   3080           0.00016244716  0.00016093678       2701 
+     31000   3100           0.00016202247  0.00016066954       2701 
+     31200   3120           0.0001613312   0.00015932059       2701 
+     31400   3140           0.00016274961  0.00015988567       2701 
+     31600   3160           0.00016541518  0.00015724809       2701 
+     31800   3180           0.00016809362  0.00015498827       2701 
+     32000   3200           0.00017067801  0.00014830489       2701 
+     32200   3220           0.00017333906  0.00014371345       2701 
+     32400   3240           0.0001759011   0.00014421259       2701 
+     32600   3260           0.00017849952  0.00014228443       2701 
+     32800   3280           0.00017801812  0.00014117391       2701 
+     33000   3300           0.00017718857  0.00014644675       2701 
+     33200   3320           0.00017833666  0.0001291286        2701 
+     33400   3340           0.000178576    0.00014878558       2701 
+     33600   3360           0.00017846711  0.00013905481       2701 
+     33800   3380           0.00017822937  0.00015535996       2701 
+     34000   3400           0.00017899663  0.00016094303       2701 
+     34200   3420           0.00017924661  0.00015017553       2701 
+     34400   3440           0.00018024855  0.00014723549       2701 
+     34600   3460           0.00018143865  0.00013903131       2701 
+     34800   3480           0.00018258173  0.00013722112       2701 
+     35000   3500           0.00018404873  0.00014675949       2701 
+     35200   3520           0.00018538521  0.00015108242       2701 
+     35400   3540           0.00018669649  0.00014564852       2701 
+     35600   3560           0.00018814608  0.00013762161       2701 
+     35800   3580           0.00018967415  0.00014602307       2701 
+     36000   3600           0.00019146735  0.000126909         2701 
+     36200   3620           0.00019414036  0.00012384379       2701 
+     36400   3640           0.00019613057  0.00011059573       2701 
+     36600   3660           0.00019897104  0.00013621801       2701 
+     36800   3680           0.00020169688  0.00013665462       2701 
+     37000   3700           0.00020447655  0.00013929258       2701 
+     37200   3720           0.00020711105  0.0001363895        2701 
+     37400   3740           0.00021077854  0.00013610672       2701 
+     37600   3760           0.00021303084  0.00015051235       2701 
+     37800   3780           0.00021619561  0.00012664801       2701 
+     38000   3800           0.0002194018   0.00012808247       2701 
+     38200   3820           0.00022242646  0.0001360174        2701 
+     38400   3840           0.00022531568  0.00013311221       2701 
+     38600   3860           0.00022821731  0.00013523939       2701 
+     38800   3880           0.000231228    0.00014090695       2701 
+     39000   3900           0.00023404038  0.00013661835       2701 
+     39200   3920           0.00023755044  0.00013659469       2701 
+     39400   3940           0.00024009059  0.00012097907       2701 
+     39600   3960           0.0002432098   9.7877876e-05       2701 
+     39800   3980           0.00024475294  0.0001164688        2701 
+     40000   4000           0.00024171274  0.00012432219       2701 
+Loop time of 192.659 on 4 procs for 40000 steps with 2701 atoms
+
+Performance: 1793840.118 tau/day, 207.620 timesteps/s, 560.783 katom-step/s
+99.6% CPU use with 4 MPI tasks x no OpenMP threads
+
+MPI task timing breakdown:
+Section |  min time  |  avg time  |  max time  |%varavg| %total
+---------------------------------------------------------------
+Pair    | 16.881     | 24.402     | 30.74      | 114.6 | 12.67
+Bond    | 1.1126     | 1.8917     | 2.6935     |  43.3 |  0.98
+Neigh   | 35.387     | 35.508     | 35.625     |   1.5 | 18.43
+Comm    | 1.5499     | 1.6694     | 1.8006     |   7.4 |  0.87
+Output  | 0.99755    | 1.0072     | 1.0165     |   0.8 |  0.52
+Modify  | 120.6      | 127.43     | 135.54     |  54.8 | 66.14
+Other   |            | 0.7553     |            |       |  0.39
+
+Nlocal:         675.25 ave        1373 max           7 min
+Histogram: 2 0 0 0 0 0 0 0 0 2
+Nghost:            103 ave         163 max          50 min
+Histogram: 2 0 0 0 0 0 0 0 1 1
+Neighs:          10509 ave       21592 max         126 min
+Histogram: 2 0 0 0 0 0 0 0 0 2
+FullNghs:        20367 ave       41981 max         141 min
+Histogram: 2 0 0 0 0 0 0 0 0 2
+
+Total # of neighbors = 81468
+Ave neighs/atom = 30.162162
+Ave special neighs/atom = 1.6593854
+Neighbor list builds = 39932
+Dangerous builds = 0
+
+Total wall time: 0:03:12

examples/rheo/poiseuille/in.rheo.poiseuille

@@ -0,0 +1,75 @@
+# ------ 2D Poiseuille flow ------ #
+
+dimension          2
+units              lj
+atom_style         rheo
+boundary           p p p
+comm_modify        vel yes
+
+# ------ Create simulation box ------ #
+
+variable           n equal 1.0
+variable           cut equal 3.0
+
+region             box block 0 20 -10 10 -0.01 0.01
+create_box         2 box
+lattice            sq ${n}
+
+region             inner   block INF INF -7.5 7.5 INF INF units box
+region             walls   block INF INF -7.5 7.5 INF INF units box side out
+
+create_atoms       2 region walls
+create_atoms       1 region inner
+
+group              fluid type 1
+group              rig type 2
+
+displace_atoms     fluid random 0.1 0.1 0 135414 units box
+
+# ------ Model parameters ------ #
+
+variable           rho0 equal 1.0
+variable           cs equal 1.0
+variable           mp equal ${rho0}/${n}
+variable           zeta equal 1.0
+variable	       kappa equal 1.0*${rho0}/${mp}
+variable           fext equal 1e-4/${n}
+variable           dt_max equal  0.1*${cut}/${cs}/3
+variable           Dr equal 0.05*${cut}*${cs}
+
+variable           eta equal 0.1
+variable           gd0 equal 5e-4
+variable           npow equal 0.5
+variable           K equal 0.001
+
+mass               * ${mp}
+set                group all rheo/rho ${rho0}
+set                group all rheo/status 0
+set                group rig rheo/status 1
+
+timestep           ${dt_max}
+
+pair_style         rheo ${cut} artificial/visc ${zeta} rho/damp ${Dr}
+pair_coeff         * *
+
+# ------ Fixes & computes ------ #
+
+fix                1 all rheo ${cut} quintic 0 shift
+fix                2 all rheo/viscosity * constant ${eta}
+#fix                2 all rheo/viscosity * power ${eta} ${gd0} ${K} ${npow}
+fix                3 all rheo/pressure * linear
+fix                4 rig setforce 0.0 0.0 0.0
+fix                5 fluid addforce ${fext} 0.0 0.0
+fix                6 all enforce2d
+
+compute            rho all rheo/property/atom rho
+
+# ------ Output & Run ------ #
+
+thermo             200
+thermo_style       custom step time ke press
+
+#dump               1 all custom 200 atomDump id type x y vx vy fx fy c_rho
+
+run                20000
+

examples/rheo/poiseuille/log.17Apr2024.poiseuille.g++.4

@@ -0,0 +1,288 @@
+LAMMPS (17 Apr 2024 - Development - patch_5May2020-18508-g3c0eaf6870-modified)
+# ------ 2D Poiseuille flow ------ #
+
+dimension          2
+units              lj
+atom_style         rheo
+boundary           p p p
+comm_modify        vel yes
+
+# ------ Create simulation box ------ #
+
+variable           n equal 1.0
+variable           cut equal 3.0
+
+region             box block 0 20 -10 10 -0.01 0.01
+create_box         2 box
+Created orthogonal box = (0 -10 -0.01) to (20 10 0.01)
+  2 by 2 by 1 MPI processor grid
+lattice            sq ${n}
+lattice            sq 1
+Lattice spacing in x,y,z = 1 1 1
+
+region             inner   block INF INF -7.5 7.5 INF INF units box
+region             walls   block INF INF -7.5 7.5 INF INF units box side out
+
+create_atoms       2 region walls
+Created 100 atoms
+  using lattice units in orthogonal box = (0 -10 -0.01) to (20 10 0.01)
+  create_atoms CPU = 0.000 seconds
+create_atoms       1 region inner
+Created 300 atoms
+  using lattice units in orthogonal box = (0 -10 -0.01) to (20 10 0.01)
+  create_atoms CPU = 0.000 seconds
+
+group              fluid type 1
+300 atoms in group fluid
+group              rig type 2
+100 atoms in group rig
+
+displace_atoms     fluid random 0.1 0.1 0 135414 units box
+Displacing atoms ...
+
+# ------ Model parameters ------ #
+
+variable           rho0 equal 1.0
+variable           cs equal 1.0
+variable           mp equal ${rho0}/${n}
+variable           mp equal 1/${n}
+variable           mp equal 1/1
+variable           zeta equal 1.0
+variable	       kappa equal 1.0*${rho0}/${mp}
+variable	       kappa equal 1.0*1/${mp}
+variable	       kappa equal 1.0*1/1
+variable           fext equal 1e-4/${n}
+variable           fext equal 1e-4/1
+variable           dt_max equal  0.1*${cut}/${cs}/3
+variable           dt_max equal  0.1*3/${cs}/3
+variable           dt_max equal  0.1*3/1/3
+variable           Dr equal 0.05*${cut}*${cs}
+variable           Dr equal 0.05*3*${cs}
+variable           Dr equal 0.05*3*1
+
+variable           eta equal 0.1
+variable           gd0 equal 5e-4
+variable           npow equal 0.5
+variable           K equal 0.001
+
+mass               * ${mp}
+mass               * 1
+set                group all rheo/rho ${rho0}
+set                group all rheo/rho 1
+Setting atom values ...
+  400 settings made for rheo/rho
+set                group all rheo/status 0
+Setting atom values ...
+  400 settings made for rheo/status
+set                group rig rheo/status 1
+Setting atom values ...
+  100 settings made for rheo/status
+
+timestep           ${dt_max}
+timestep           0.1
+
+pair_style         rheo ${cut} artificial/visc ${zeta} rho/damp ${Dr}
+pair_style         rheo 3 artificial/visc ${zeta} rho/damp ${Dr}
+pair_style         rheo 3 artificial/visc 1 rho/damp ${Dr}
+pair_style         rheo 3 artificial/visc 1 rho/damp 0.15
+pair_coeff         * *
+
+# ------ Fixes & computes ------ #
+
+fix                1 all rheo ${cut} quintic 0 shift
+fix                1 all rheo 3 quintic 0 shift
+fix                2 all rheo/viscosity * constant ${eta}
+fix                2 all rheo/viscosity * constant 0.1
+#fix                2 all rheo/viscosity * power ${eta} ${gd0} ${K} ${npow}
+fix                3 all rheo/pressure * linear
+fix                4 rig setforce 0.0 0.0 0.0
+fix                5 fluid addforce ${fext} 0.0 0.0
+fix                5 fluid addforce 0.0001 0.0 0.0
+fix                6 all enforce2d
+
+compute            rho all rheo/property/atom rho
+
+# ------ Output & Run ------ #
+
+thermo             200
+thermo_style       custom step time ke press
+
+dump               1 all custom 200 atomDump id type x y vx vy fx fy c_rho
+
+run                20000
+
+CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE
+
+Your simulation uses code contributions which should be cited:
+
+- @article{PalermoInPrep,
+ journal = {in prep},
+ title = {RHEO: A Hybrid Mesh-Free Model Framework for Dynamic Multi-Phase Flows},
+ year = {2024},
+ author = {Eric T. Palermo and Ki T. Wolf and Joel T. Clemmer and Thomas C. O'Connor},
+}
+
+CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE
+
+Generated 0 of 1 mixed pair_coeff terms from geometric mixing rule
+Neighbor list info ...
+  update: every = 1 steps, delay = 0 steps, check = yes
+  max neighbors/atom: 2000, page size: 100000
+  master list distance cutoff = 3.3
+  ghost atom cutoff = 3.3
+  binsize = 1.65, bins = 13 13 1
+  4 neighbor lists, perpetual/occasional/extra = 4 0 0
+  (1) pair rheo, perpetual, half/full from (2)
+      attributes: half, newton on
+      pair build: halffull/newton
+      stencil: none
+      bin: none
+  (2) compute RHEO/KERNEL, perpetual
+      attributes: full, newton on
+      pair build: full/bin/atomonly
+      stencil: full/bin/2d
+      bin: standard
+  (3) compute RHEO/GRAD, perpetual, copy from (1)
+      attributes: half, newton on
+      pair build: copy
+      stencil: none
+      bin: none
+  (4) compute RHEO/VSHIFT, perpetual, copy from (1)
+      attributes: half, newton on
+      pair build: copy
+      stencil: none
+      bin: none
+Per MPI rank memory allocation (min/avg/max) = 5.693 | 5.693 | 5.693 Mbytes
+   Step          Time          KinEng         Press     
+         0   0              0              0            
+       200   20             1.2220462e-06  3.7383146e-05
+       400   40             4.345762e-06   7.5866885e-05
+       600   60             8.8559433e-06  0.00011353743
+       800   80             1.4370506e-05  0.00015135634
+      1000   100            2.0576198e-05  0.00018903722
+      1200   120            2.721926e-05   0.00022533997
+      1400   140            3.4099653e-05  0.00026016069
+      1600   160            4.1064175e-05  0.00029445207
+      1800   180            4.8001225e-05  0.00032893763
+      2000   200            5.4832849e-05  0.00036402396
+      2200   220            6.1508431e-05  0.00039945249
+      2400   240            6.8000141e-05  0.00043534411
+      2600   260            7.430136e-05   0.00046943441
+      2800   280            8.0415328e-05  0.00049807225
+      3000   300            8.6335032e-05  0.00051815375
+      3200   320            9.2021626e-05  0.00052618224
+      3400   340            9.7387936e-05  0.00051877918
+      3600   360            0.00010231526  0.00048650828
+      3800   380            0.00010676617  0.00044578079
+      4000   400            0.00011080098  0.00044777126
+      4200   420            0.00011448127  0.00047047629
+      4400   440            0.00011787852  0.00050280249
+      4600   460            0.00012106805  0.0005397213 
+      4800   480            0.00012412056  0.00057885539
+      5000   500            0.0001271078   0.00061396896
+      5200   520            0.00013006637  0.00063981812
+      5400   540            0.00013295039  0.00065094073
+      5600   560            0.00013561487  0.00063918847
+      5800   580            0.00013791796  0.00059087656
+      6000   600            0.00013983422  0.00052171998
+      6200   620            0.00014144833  0.00050658002
+      6400   640            0.00014286538  0.0005248626 
+      6600   660            0.00014417734  0.00055826606
+      6800   680            0.00014546931  0.00060063748
+      7000   700            0.00014682553  0.00064421411
+      7200   720            0.0001482833   0.00068252242
+      7400   740            0.00014977996  0.00070671308
+      7600   760            0.00015114829  0.00069774026
+      7800   780            0.0001522719   0.00064408311
+      8000   800            0.00015312897  0.00055977044
+      8200   820            0.00015375669  0.0005225573 
+      8400   840            0.00015425683  0.00053833691
+      8600   860            0.00015471278  0.00057447427
+      8800   880            0.0001552059   0.00061980921
+      9000   900            0.00015581593  0.0006659836 
+      9200   920            0.0001565564   0.00070813532
+      9400   940            0.00015733573  0.00073378551
+      9600   960            0.00015802107  0.00071560835
+      9800   980            0.00015855339  0.00065636189
+     10000   1000           0.00015890743  0.0005699855 
+     10200   1020           0.00015908095  0.00053138971
+     10400   1040           0.00015915523  0.00054790708
+     10600   1060           0.00015921254  0.00058899454
+     10800   1080           0.00015934193  0.00063964906
+     11000   1100           0.00015959891  0.00069241358
+     11200   1120           0.0001599636   0.00073734651
+     11400   1140           0.00016036526  0.00074477329
+     11600   1160           0.00016075471  0.00071047555
+     11800   1180           0.00016109516  0.00064173183
+     12000   1200           0.00016131524  0.00055500553
+     12200   1220           0.00016136366  0.0005290215 
+     12400   1240           0.0001613025   0.00055124296
+     12600   1260           0.00016123023  0.00059758627
+     12800   1280           0.00016123043  0.00065488735
+     13000   1300           0.00016132935  0.0007140876 
+     13200   1320           0.00016152165  0.00074795629
+     13400   1340           0.00016180372  0.00074730778
+     13600   1360           0.00016216585  0.00071370995
+     13800   1380           0.0001625339   0.00065176323
+     14000   1400           0.00016274999  0.00057515371
+     14200   1420           0.00016271295  0.00055878258
+     14400   1440           0.00016249768  0.00058448193
+     14600   1460           0.00016223675  0.00063096229
+     14800   1480           0.00016201846  0.00068639548
+     15000   1500           0.00016190593  0.00072444357
+     15200   1520           0.00016194466  0.00073830636
+     15400   1540           0.00016216164  0.00072773256
+     15600   1560           0.00016253174  0.00069215481
+     15800   1580           0.00016290895  0.00063239408
+     16000   1600           0.00016306463  0.00057466273
+     16200   1620           0.00016292218  0.00057951567
+     16400   1640           0.00016261117  0.00061504156
+     16600   1660           0.00016225906  0.00066066637
+     16800   1680           0.00016197993  0.00069751908
+     17000   1700           0.0001618568   0.00072202303
+     17200   1720           0.00016194264  0.00073255034
+     17400   1740           0.00016225911  0.0007231031 
+     17600   1760           0.00016270465  0.00068931224
+     17800   1780           0.00016304053  0.00062934836
+     18000   1800           0.00016302624  0.00058060272
+     18200   1820           0.00016274847  0.00058859513
+     18400   1840           0.00016236893  0.00061804803
+     18600   1860           0.00016202777  0.00065393237
+     18800   1880           0.0001618184   0.00068747094
+     19000   1900           0.0001618044   0.00071352541
+     19200   1920           0.00016204402  0.00072351769
+     19400   1940           0.00016249999  0.00071330322
+     19600   1960           0.00016297924  0.00067984167
+     19800   1980           0.00016317435  0.00061634142
+     20000   2000           0.00016301186  0.00057234115
+Loop time of 15.6198 on 4 procs for 20000 steps with 400 atoms
+
+Performance: 11062881.511 tau/day, 1280.426 timesteps/s, 512.170 katom-step/s
+99.7% CPU use with 4 MPI tasks x no OpenMP threads
+
+MPI task timing breakdown:
+Section |  min time  |  avg time  |  max time  |%varavg| %total
+---------------------------------------------------------------
+Pair    | 2.1979     | 2.4473     | 2.6992     |  15.7 | 15.67
+Neigh   | 0.024709   | 0.027006   | 0.029223   |   1.3 |  0.17
+Comm    | 0.4657     | 0.71686    | 0.9662     |  29.0 |  4.59
+Output  | 0.033698   | 0.036781   | 0.039359   |   1.1 |  0.24
+Modify  | 12.306     | 12.313     | 12.319     |   0.2 | 78.83
+Other   |            | 0.07916    |            |       |  0.51
+
+Nlocal:            100 ave         107 max          93 min
+Histogram: 1 0 0 1 0 0 1 0 0 1
+Nghost:          185.5 ave         192 max         179 min
+Histogram: 1 0 0 1 0 0 1 0 0 1
+Neighs:           1712 ave        1848 max        1598 min
+Histogram: 1 0 1 0 0 1 0 0 0 1
+FullNghs:         3424 ave        3682 max        3174 min
+Histogram: 1 0 1 0 0 0 1 0 0 1
+
+Total # of neighbors = 13696
+Ave neighs/atom = 34.24
+Neighbor list builds = 331
+Dangerous builds = 0
+
+
+Total wall time: 0:00:15

examples/rheo/taylor-green/in.rheo.taylor.green

@@ -0,0 +1,65 @@
+# ------ 2D Taylor Green vortex ------ #
+
+dimension          2
+units              lj
+atom_style         rheo
+boundary           p p p
+comm_modify        vel yes
+newton off
+
+# ------ Create simulation box ------ #
+
+variable           n equal 1.0
+variable           cut equal 3.0
+
+region             box block 0 40 0 40 -0.01 0.01
+create_box         1 box
+lattice            sq ${n}
+
+create_atoms       1 region box
+
+displace_atoms     all random 0.1 0.1 0 135414 units box
+
+# ------ Model parameters ------ #
+
+variable           rho0 equal 1.0
+variable           mp equal ${rho0}/${n}
+variable           cs equal 1.0
+variable           eta equal 0.05
+variable           zeta equal 1
+variable           dt_max equal 0.1*${cut}/${cs}/3
+variable           Dr equal 0.1*${cut}*${cs}
+
+mass               * ${mp}
+set                group all rheo/rho ${rho0}
+set                group all rheo/status 0
+
+variable           u0 equal 0.05
+variable           uy atom  ${u0}*sin(2*PI*x/lx)*cos(2*PI*y/ly)
+variable           ux atom -${u0}*sin(2*PI*y/ly)*cos(2*PI*x/ly)
+variable           d0 atom ${rho0}-${u0}*${u0}*${rho0}*0.25*(cos(4*PI*x/lx)+cos(4*PI*y/ly))/${cs}/${cs}
+
+velocity           all set v_ux v_uy 0.0 units box
+
+timestep           ${dt_max}
+
+pair_style         rheo ${cut} artificial/visc ${zeta} rho/damp ${Dr}
+pair_coeff         * *
+
+# ------ Fixes & computes ------ #
+
+fix                1 all rheo ${cut} RK1 8 shift
+fix                2 all rheo/viscosity * constant ${eta}
+fix                3 all rheo/pressure * linear
+fix                4 all enforce2d
+
+compute            rho all rheo/property/atom rho
+
+# ------ Output & Run ------ #
+
+thermo             200
+thermo_style       custom step time ke press
+
+#dump               1 all custom 200 atomDump id type x y vx vy fx fy c_rho
+
+run 10000

examples/rheo/taylor-green/log.17Apr2024.taylor.green.g++.4

@@ -0,0 +1,224 @@
+LAMMPS (17 Apr 2024 - Development - patch_5May2020-18508-g3c0eaf6870-modified)
+# ------ 2D Taylor Green vortex ------ #
+
+dimension          2
+units              lj
+atom_style         rheo
+boundary           p p p
+comm_modify        vel yes
+newton off
+
+# ------ Create simulation box ------ #
+
+variable           n equal 1.0
+variable           cut equal 3.0
+
+region             box block 0 40 0 40 -0.01 0.01
+create_box         1 box
+Created orthogonal box = (0 0 -0.01) to (40 40 0.01)
+  2 by 2 by 1 MPI processor grid
+lattice            sq ${n}
+lattice            sq 1
+Lattice spacing in x,y,z = 1 1 1
+
+create_atoms       1 region box
+Created 1600 atoms
+  using lattice units in orthogonal box = (0 0 -0.01) to (40 40 0.01)
+  create_atoms CPU = 0.001 seconds
+
+displace_atoms     all random 0.1 0.1 0 135414 units box
+Displacing atoms ...
+
+# ------ Model parameters ------ #
+
+variable           rho0 equal 1.0
+variable           mp equal ${rho0}/${n}
+variable           mp equal 1/${n}
+variable           mp equal 1/1
+variable           cs equal 1.0
+variable           eta equal 0.05
+variable           zeta equal 1
+variable           dt_max equal 0.1*${cut}/${cs}/3
+variable           dt_max equal 0.1*3/${cs}/3
+variable           dt_max equal 0.1*3/1/3
+variable           Dr equal 0.1*${cut}*${cs}
+variable           Dr equal 0.1*3*${cs}
+variable           Dr equal 0.1*3*1
+
+mass               * ${mp}
+mass               * 1
+set                group all rheo/rho ${rho0}
+set                group all rheo/rho 1
+Setting atom values ...
+  1600 settings made for rheo/rho
+set                group all rheo/status 0
+Setting atom values ...
+  1600 settings made for rheo/status
+
+variable           u0 equal 0.05
+variable           uy atom  ${u0}*sin(2*PI*x/lx)*cos(2*PI*y/ly)
+variable           uy atom  0.05*sin(2*PI*x/lx)*cos(2*PI*y/ly)
+variable           ux atom -${u0}*sin(2*PI*y/ly)*cos(2*PI*x/ly)
+variable           ux atom -0.05*sin(2*PI*y/ly)*cos(2*PI*x/ly)
+variable           d0 atom ${rho0}-${u0}*${u0}*${rho0}*0.25*(cos(4*PI*x/lx)+cos(4*PI*y/ly))/${cs}/${cs}
+variable           d0 atom 1-${u0}*${u0}*${rho0}*0.25*(cos(4*PI*x/lx)+cos(4*PI*y/ly))/${cs}/${cs}
+variable           d0 atom 1-0.05*${u0}*${rho0}*0.25*(cos(4*PI*x/lx)+cos(4*PI*y/ly))/${cs}/${cs}
+variable           d0 atom 1-0.05*0.05*${rho0}*0.25*(cos(4*PI*x/lx)+cos(4*PI*y/ly))/${cs}/${cs}
+variable           d0 atom 1-0.05*0.05*1*0.25*(cos(4*PI*x/lx)+cos(4*PI*y/ly))/${cs}/${cs}
+variable           d0 atom 1-0.05*0.05*1*0.25*(cos(4*PI*x/lx)+cos(4*PI*y/ly))/1/${cs}
+variable           d0 atom 1-0.05*0.05*1*0.25*(cos(4*PI*x/lx)+cos(4*PI*y/ly))/1/1
+
+velocity           all set v_ux v_uy 0.0 units box
+
+timestep           ${dt_max}
+timestep           0.1
+
+pair_style         rheo ${cut} artificial/visc ${zeta} rho/damp ${Dr}
+pair_style         rheo 3 artificial/visc ${zeta} rho/damp ${Dr}
+pair_style         rheo 3 artificial/visc 1 rho/damp ${Dr}
+pair_style         rheo 3 artificial/visc 1 rho/damp 0.3
+pair_coeff         * *
+
+# ------ Fixes & computes ------ #
+
+fix                1 all rheo ${cut} RK1 8 shift
+fix                1 all rheo 3 RK1 8 shift
+fix                2 all rheo/viscosity * constant ${eta}
+fix                2 all rheo/viscosity * constant 0.05
+fix                3 all rheo/pressure * linear
+fix                4 all enforce2d
+
+compute            rho all rheo/property/atom rho
+
+# ------ Output & Run ------ #
+
+thermo             200
+thermo_style       custom step time ke press
+
+dump               1 all custom 200 atomDump id type x y vx vy fx fy c_rho
+
+run 10000
+
+CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE
+
+Your simulation uses code contributions which should be cited:
+
+- @article{PalermoInPrep,
+ journal = {in prep},
+ title = {RHEO: A Hybrid Mesh-Free Model Framework for Dynamic Multi-Phase Flows},
+ year = {2024},
+ author = {Eric T. Palermo and Ki T. Wolf and Joel T. Clemmer and Thomas C. O'Connor},
+}
+
+CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE-CITE
+
+Generated 0 of 0 mixed pair_coeff terms from geometric mixing rule
+Neighbor list info ...
+  update: every = 1 steps, delay = 0 steps, check = yes
+  max neighbors/atom: 2000, page size: 100000
+  master list distance cutoff = 3.3
+  ghost atom cutoff = 3.3
+  binsize = 1.65, bins = 25 25 1
+  4 neighbor lists, perpetual/occasional/extra = 4 0 0
+  (1) pair rheo, perpetual, half/full from (2)
+      attributes: half, newton off
+      pair build: halffull/newtoff
+      stencil: none
+      bin: none
+  (2) compute RHEO/KERNEL, perpetual
+      attributes: full, newton off
+      pair build: full/bin/atomonly
+      stencil: full/bin/2d
+      bin: standard
+  (3) compute RHEO/GRAD, perpetual, copy from (1)
+      attributes: half, newton off
+      pair build: copy
+      stencil: none
+      bin: none
+  (4) compute RHEO/VSHIFT, perpetual, copy from (1)
+      attributes: half, newton off
+      pair build: copy
+      stencil: none
+      bin: none
+Per MPI rank memory allocation (min/avg/max) = 6.835 | 6.835 | 6.835 Mbytes
+   Step          Time          KinEng         Press     
+         0   0              0.00062497276  0.00062607301
+       200   20             0.00056200647  0.00056633785
+       400   40             0.00050570968  0.00051098771
+       600   60             0.00045586684  0.00046081672
+       800   80             0.00041124523  0.00041549607
+      1000   100            0.00037065341  0.00037412741
+      1200   120            0.00033391585  0.00033580899
+      1400   140            0.00030078316  0.00030057307
+      1600   160            0.00027093231  0.00026842603
+      1800   180            0.00024403239  0.00023839026
+      2000   200            0.0002197865   0.00021148941
+      2200   220            0.0001979269   0.00018659386
+      2400   240            0.00017822267  0.00016430442
+      2600   260            0.00016047141  0.00014408514
+      2800   280            0.00014448504  0.00012574125
+      3000   300            0.00013009159  0.00010869938
+      3200   320            0.00011713578  9.414951e-05 
+      3400   340            0.00010547564  8.1900579e-05
+      3600   360            9.4982139e-05  7.1285649e-05
+      3800   380            8.5538983e-05  6.1571123e-05
+      4000   400            7.7040171e-05  5.3462572e-05
+      4200   420            6.9390317e-05  4.6338308e-05
+      4400   440            6.2503763e-05  3.9697323e-05
+      4600   460            5.6303766e-05  3.4234465e-05
+      4800   480            5.0721595e-05  3.0841338e-05
+      5000   500            4.5695301e-05  2.7788566e-05
+      5200   520            4.1169161e-05  2.5744409e-05
+      5400   540            3.7093059e-05  2.3912739e-05
+      5600   560            3.3421819e-05  2.2494185e-05
+      5800   580            3.0114735e-05  2.1594384e-05
+      6000   600            2.7135224e-05  2.1164421e-05
+      6200   620            2.4450446e-05  2.0979349e-05
+      6400   640            2.2030925e-05  2.0858567e-05
+      6600   660            1.9850196e-05  2.098115e-05 
+      6800   680            1.7884553e-05  2.1134827e-05
+      7000   700            1.6112763e-05  2.1242242e-05
+      7200   720            1.4515783e-05  2.1312763e-05
+      7400   740            1.3076456e-05  2.1370947e-05
+      7600   760            1.1779327e-05  2.1332126e-05
+      7800   780            1.0610469e-05  2.1156562e-05
+      8000   800            9.5573298e-06  2.0898126e-05
+      8200   820            8.6085799e-06  2.0517958e-05
+      8400   840            7.7539888e-06  1.9841551e-05
+      8600   860            6.9843033e-06  1.9114769e-05
+      8800   880            6.2911575e-06  1.8362959e-05
+      9000   900            5.6669785e-06  1.7473404e-05
+      9200   920            5.1049208e-06  1.6452745e-05
+      9400   940            4.5987908e-06  1.5578629e-05
+      9600   960            4.1429972e-06  1.4427274e-05
+      9800   980            3.7324962e-06  1.3169649e-05
+     10000   1000           3.3627455e-06  1.1938723e-05
+Loop time of 38.2006 on 4 procs for 10000 steps with 1600 atoms
+
+Performance: 2261743.875 tau/day, 261.776 timesteps/s, 418.841 katom-step/s
+99.7% CPU use with 4 MPI tasks x no OpenMP threads
+
+MPI task timing breakdown:
+Section |  min time  |  avg time  |  max time  |%varavg| %total
+---------------------------------------------------------------
+Pair    | 8.2958     | 8.7273     | 9.3582     |  15.2 | 22.85
+Neigh   | 0.034282   | 0.035689   | 0.037115   |   0.7 |  0.09
+Comm    | 0.16788    | 0.17018    | 0.17278    |   0.4 |  0.45
+Output  | 0.066977   | 0.06882    | 0.071704   |   0.7 |  0.18
+Modify  | 28.483     | 28.793     | 28.962     |   3.6 | 75.37
+Other   |            | 0.4053     |            |       |  1.06
+
+Nlocal:            400 ave         402 max         399 min
+Histogram: 2 0 0 1 0 0 0 0 0 1
+Nghost:         307.25 ave         308 max         305 min
+Histogram: 1 0 0 0 0 0 0 0 0 3
+Neighs:        7618.25 ave        7697 max        7564 min
+Histogram: 1 0 1 1 0 0 0 0 0 1
+FullNghs:        13343 ave       13497 max       13258 min
+Histogram: 1 1 1 0 0 0 0 0 0 1
+
+Total # of neighbors = 53372
+Ave neighs/atom = 33.3575
+Neighbor list builds = 123
+Dangerous builds = 0
+Total wall time: 0:00:38

lib/rheo/Makefile.lammps

@@ -0,0 +1,14 @@
+# Settings that the LAMMPS build will import when this package is installed
+
+ifeq ($(strip $(shell pkg-config --version)),)
+  # manual configuration w/o pkg-config/pkgconf
+  # change this to -I/path/to/your/lib/gsl/include/
+  rheo_SYSINC = -I../../lib/rheo/gsl/include/
+
+  # change this to -L/path/to/your/lib/gsl/lib/
+  rheo_SYSLIB = -L../../lib/rheo/gsl/lib/ -lgsl -lgslcblas
+else
+  # autodetect GSL settings from pkg-config/pkgconf
+  rheo_SYSINC = $(shell pkg-config --cflags gsl)
+  rheo_SYSLIB = $(shell pkg-config --libs gsl)
+endif

lib/rheo/README

@@ -0,0 +1,7 @@
+This directory has a Makefile.lammps file with settings that allows LAMMPS to
+dynamically link to the GSL library.  This is required to use the RHEO package
+in a LAMMPS input script.  If you have the pkg-config command available, it
+will automatically import the GSL settings. Otherwise they will have to be
+added manually.
+
+See the header of Makefile.lammps for more info.

src/.gitignore

@@ -245,6 +245,9 @@
 /pair_tdpd.cpp
 /pair_tdpd.h
 
+/*rheo*.cpp
+/*rheo*.h
+
 /compute_grid.cpp
 /compute_grid.h
 /compute_grid_local.cpp
@@ -790,6 +793,8 @@
 /fix_acks2_reaxff.h
 /fix_adapt_fep.cpp
 /fix_adapt_fep.h
+/fix_add_heat.cpp
+/fix_add_heat.h
 /fix_addtorque.cpp
 /fix_addtorque.h
 /fix_append_atoms.cpp

src/BPM/bond_bpm.cpp

@@ -18,6 +18,7 @@
 #include "comm.h"
 #include "domain.h"
 #include "error.h"
+#include "fix.h"
 #include "fix_bond_history.h"
 #include "fix_store_local.h"
 #include "fix_update_special_bonds.h"
@@ -53,10 +54,14 @@ BondBPM::BondBPM(LAMMPS *_lmp) :
     pack_choice(nullptr), output_data(nullptr)
 {
   overlay_flag = 0;
+  ignore_special_flag = 0;
   prop_atom_flag = 0;
   break_flag = 1;
   nvalues = 0;
 
+  nhistory = 0;
+  update_flag = 0;
+
   r0_max_estimate = 0.0;
   max_stretch = 1.0;
 
@@ -64,10 +69,10 @@ BondBPM::BondBPM(LAMMPS *_lmp) :
   // this is so final order of Modify:fix will conform to input script
   // BondHistory technically only needs this if updateflag = 1
 
-  id_fix_dummy = utils::strdup("BPM_DUMMY");
+  id_fix_dummy = utils::strdup(fmt::format("BPM_DUMMY_{}", instance_total));
   modify->add_fix(fmt::format("{} all DUMMY ", id_fix_dummy));
 
-  id_fix_dummy2 = utils::strdup("BPM_DUMMY2");
+  id_fix_dummy2 = utils::strdup(fmt::format("BPM_DUMMY2_{}", instance_total));
   modify->add_fix(fmt::format("{} all DUMMY ", id_fix_dummy2));
 
   if (lmp->citeme) lmp->citeme->add(cite_bpm);
@@ -82,7 +87,7 @@ BondBPM::~BondBPM()
   if (id_fix_dummy) modify->delete_fix(id_fix_dummy);
   if (id_fix_dummy2) modify->delete_fix(id_fix_dummy2);
   if (id_fix_update) modify->delete_fix(id_fix_update);
-  if (id_fix_bond_history) modify->delete_fix(id_fix_bond_history);
+  if (fix_bond_history) modify->delete_fix(id_fix_bond_history);
   if (id_fix_store_local) modify->delete_fix(id_fix_store_local);
   if (id_fix_prop_atom) modify->delete_fix(id_fix_prop_atom);
 
@@ -109,39 +114,46 @@ void BondBPM::init_style()
     fix_store_local->nvalues = nvalues;
   }
 
-  if (overlay_flag) {
+  if (!ignore_special_flag) {
-    if (force->special_lj[1] != 1.0 || force->special_lj[2] != 1.0 || force->special_lj[3] != 1.0 ||
+    if (overlay_flag) {
-        force->special_coul[1] != 1.0 || force->special_coul[2] != 1.0 || force->special_coul[3] != 1.0)
+      if (force->special_lj[1] != 1.0 || force->special_lj[2] != 1.0 || force->special_lj[3] != 1.0 ||
-      error->all(FLERR,
+          force->special_coul[1] != 1.0 || force->special_coul[2] != 1.0 || force->special_coul[3] != 1.0)
-                 "With overlay/pair yes, BPM bond styles require a value of 1.0 for all special_bonds weights");
+        error->all(FLERR,
-    if (id_fix_update) {
+                   "With overlay/pair yes, BPM bond styles require a value of 1.0 for all special_bonds weights");
-      modify->delete_fix(id_fix_update);
+      if (id_fix_update) {
-      delete[] id_fix_update;
+        modify->delete_fix(id_fix_update);
-      id_fix_update = nullptr;
+        delete[] id_fix_update;
-    }
+        id_fix_update = nullptr;
-  } else {
+      }
-    // Require atoms know about all of their bonds and if they break
+    } else {
-    if (force->newton_bond && break_flag)
+      // Require atoms know about all of their bonds and if they break
-      error->all(FLERR, "With overlay/pair no, or break yes, BPM bond styles require Newton bond off");
+      if (force->newton_bond && break_flag)
+        error->all(FLERR, "With overlay/pair no, or break yes, BPM bond styles require Newton bond off");
 
-    // special lj must be 0 1 1 to censor pair forces between bonded particles
+      // special lj must be 0 1 1 to censor pair forces between bonded particles
-    if (force->special_lj[1] != 0.0 || force->special_lj[2] != 1.0 || force->special_lj[3] != 1.0)
+      if (force->special_lj[1] != 0.0 || force->special_lj[2] != 1.0 || force->special_lj[3] != 1.0)
-      error->all(FLERR,
+        error->all(FLERR,
-                 "With overlay/pair no, BPM bond styles require special LJ weights = 0,1,1");
+                   "With overlay/pair no, BPM bond styles require special LJ weights = 0,1,1");
-    // if bonds can break, special coulomb must be 1 1 1 to ensure all pairs are included in the
+      // if bonds can break, special coulomb must be 1 1 1 to ensure all pairs are included in the
-    //    neighbor list and 1-3 and 1-4 special bond lists are skipped
+      //    neighbor list and 1-3 and 1-4 special bond lists are skipped
-    if (break_flag && (force->special_coul[1] != 1.0 || force->special_coul[2] != 1.0 ||
+      if (break_flag && (force->special_coul[1] != 1.0 || force->special_coul[2] != 1.0 ||
-        force->special_coul[3] != 1.0))
+          force->special_coul[3] != 1.0))
-      error->all(FLERR,
+        error->all(FLERR,
-                 "With overlay/pair no, and break yes, BPM bond styles requires special Coulomb weights = 1,1,1");
+                   "With overlay/pair no, and break yes, BPM bond styles requires special Coulomb weights = 1,1,1");
 
-    if (id_fix_dummy && break_flag) {
+      if (id_fix_dummy && break_flag) {
-      id_fix_update = utils::strdup("BPM_UPDATE_SPECIAL_BONDS");
+        id_fix_update = utils::strdup("BPM_UPDATE_SPECIAL_BONDS");
-      fix_update_special_bonds = dynamic_cast<FixUpdateSpecialBonds *>(modify->replace_fix(
+        fix_update_special_bonds = dynamic_cast<FixUpdateSpecialBonds *>(modify->replace_fix(
-          id_fix_dummy, fmt::format("{} all UPDATE_SPECIAL_BONDS", id_fix_update), 1));
+            id_fix_dummy, fmt::format("{} all UPDATE_SPECIAL_BONDS", id_fix_update), 1));
-      delete[] id_fix_dummy;
+        delete[] id_fix_dummy;
-      id_fix_dummy = nullptr;
+        id_fix_dummy = nullptr;
+      }
     }
+
+    // special 1-3 and 1-4 weights must be 1 to prevent building 1-3 and 1-4 special bond lists
+    if (force->special_lj[2] != 1.0 || force->special_lj[3] != 1.0 || force->special_coul[2] != 1.0 ||
+        force->special_coul[3] != 1.0)
+      error->all(FLERR, "Bond style bpm requires 1-3 and 1-4 special weights of 1.0");
   }
 
   if (force->angle || force->dihedral || force->improper)
@@ -149,10 +161,16 @@ void BondBPM::init_style()
   if (atom->molecular == 2)
     error->all(FLERR, "Bond style bpm cannot be used with atom style template");
 
-  // special 1-3 and 1-4 weights must be 1 to prevent building 1-3 and 1-4 special bond lists
+  // find all instances of bond history to delete/shift data
-  if (force->special_lj[2] != 1.0 || force->special_lj[3] != 1.0 || force->special_coul[2] != 1.0 ||
+  // (bond hybrid may create multiple)
-      force->special_coul[3] != 1.0)
+  histories = modify->get_fix_by_style("BOND_HISTORY");
-    error->all(FLERR, "Bond style bpm requires 1-3 and 1-4 special weights of 1.0");
+  n_histories = histories.size();
+
+  // If a bond type isn't set, must be using bond style hybrid
+  hybrid_flag = 0;
+  for (int i = 1; i <= atom->nbondtypes; i++)
+    if (!setflag[i]) hybrid_flag = 1;
+  fix_bond_history->setflag = setflag;
 }
 
 /* ----------------------------------------------------------------------
@@ -269,6 +287,14 @@ void BondBPM::settings(int narg, char **arg)
       }
     }
   }
+
+  // Set up necessary history fix
+  if (!fix_bond_history) {
+    fix_bond_history = dynamic_cast<FixBondHistory *>(modify->replace_fix(
+        id_fix_dummy2, fmt::format("{} all BOND_HISTORY {} {}", id_fix_bond_history, update_flag, nhistory), 1));
+    delete[] id_fix_dummy2;
+    id_fix_dummy2 = nullptr;
+  }
 }
 
 /* ----------------------------------------------------------------------
@@ -385,12 +411,15 @@ void BondBPM::process_broken(int i, int j)
 
   if (i < nlocal) {
     for (m = 0; m < num_bond[i]; m++) {
-      if (bond_atom[i][m] == tag[j]) {
+      if (bond_atom[i][m] == tag[j] && setflag[bond_type[i][m]]) {
         n = num_bond[i];
         bond_type[i][m] = bond_type[i][n - 1];
         bond_atom[i][m] = bond_atom[i][n - 1];
-        fix_bond_history->shift_history(i, m, n - 1);
+        for (auto &ihistory: histories) {
-        fix_bond_history->delete_history(i, n - 1);
+          auto fix_bond_history2 = dynamic_cast<FixBondHistory *>  (ihistory);
+          fix_bond_history2->shift_history(i, m, n - 1);
+          fix_bond_history2->delete_history(i, n - 1);
+        }
         num_bond[i]--;
         break;
       }
@@ -399,12 +428,15 @@ void BondBPM::process_broken(int i, int j)
 
   if (j < nlocal) {
     for (m = 0; m < num_bond[j]; m++) {
-      if (bond_atom[j][m] == tag[i]) {
+      if (bond_atom[j][m] == tag[i] && setflag[bond_type[j][m]]) {
         n = num_bond[j];
         bond_type[j][m] = bond_type[j][n - 1];
         bond_atom[j][m] = bond_atom[j][n - 1];
-        fix_bond_history->shift_history(j, m, n - 1);
+        for (auto &ihistory: histories) {
-        fix_bond_history->delete_history(j, n - 1);
+          auto fix_bond_history2 = dynamic_cast<FixBondHistory *>  (ihistory);
+          fix_bond_history2->shift_history(j, m, n - 1);
+          fix_bond_history2->delete_history(j, n - 1);
+        }
         num_bond[j]--;
         break;
       }

src/BPM/bond_bpm.h

@@ -16,8 +16,12 @@
 
 #include "bond.h"
 
+#include <vector>
+
 namespace LAMMPS_NS {
 
+class Fix;
+
 class BondBPM : public Bond {
  public:
   BondBPM(class LAMMPS *);
@@ -34,7 +38,7 @@ class BondBPM : public Bond {
  protected:
   double r0_max_estimate;
   double max_stretch;
-  int store_local_freq;
+  int store_local_freq, nhistory, update_flag, hybrid_flag;
 
   std::vector<int> leftover_iarg;
 
@@ -50,9 +54,12 @@ class BondBPM : public Bond {
   FnPtrPack *pack_choice;    // ptrs to pack functions
   double *output_data;
 
-  int prop_atom_flag, nvalues, overlay_flag, break_flag;
+  int prop_atom_flag, nvalues, overlay_flag, break_flag, ignore_special_flag;
   int index_x_ref, index_y_ref, index_z_ref;
 
+  int n_histories;
+  std::vector<Fix *> histories;
+
   void pack_id1(int, int, int);
   void pack_id2(int, int, int);
   void pack_time(int, int, int);

src/BPM/bond_bpm_rotational.cpp

@@ -52,6 +52,9 @@ BondBPMRotational::BondBPMRotational(LAMMPS *_lmp) :
   smooth_flag = 1;
   normalize_flag = 0;
 
+  nhistory = 4;
+  id_fix_bond_history = utils::strdup("HISTORY_BPM_ROTATIONAL");
+
   single_extra = 7;
   svector = new double[7];
 }
@@ -458,6 +461,9 @@ void BondBPMRotational::compute(int eflag, int vflag)
     store_data();
   }
 
+  if (hybrid_flag)
+    fix_bond_history->compress_history();
+
   int i1, i2, itmp, n, type;
   double r[3], r0[3], rhat[3];
   double rsq, r0_mag, r_mag, r_mag_inv;
@@ -563,6 +569,9 @@ void BondBPMRotational::compute(int eflag, int vflag)
       ev_tally_xyz(i1, i2, nlocal, newton_bond, 0.0, -force1on2[0] * smooth, -force1on2[1] * smooth,
                    -force1on2[2] * smooth, r[0], r[1], r[2]);
   }
+
+  if (hybrid_flag)
+    fix_bond_history->uncompress_history();
 }
 
 /* ---------------------------------------------------------------------- */
@@ -652,14 +661,6 @@ void BondBPMRotational::init_style()
 
   if (domain->dimension == 2)
     error->warning(FLERR, "Bond style bpm/rotational not intended for 2d use");
-
-  if (!id_fix_bond_history) {
-    id_fix_bond_history = utils::strdup("HISTORY_BPM_ROTATIONAL");
-    fix_bond_history = dynamic_cast<FixBondHistory *>(modify->replace_fix(
-        id_fix_dummy2, fmt::format("{} all BOND_HISTORY 0 4", id_fix_bond_history), 1));
-    delete[] id_fix_dummy2;
-    id_fix_dummy2 = nullptr;
-  }
 }
 
 /* ---------------------------------------------------------------------- */

src/BPM/bond_bpm_spring.cpp

@@ -39,6 +39,9 @@ BondBPMSpring::BondBPMSpring(LAMMPS *_lmp) :
   smooth_flag = 1;
   normalize_flag = 0;
 
+  nhistory = 1;
+  id_fix_bond_history = utils::strdup("HISTORY_BPM_SPRING");
+
   single_extra = 1;
   svector = new double[1];
 }
@@ -137,6 +140,9 @@ void BondBPMSpring::compute(int eflag, int vflag)
     store_data();
   }
 
+  if (hybrid_flag)
+    fix_bond_history->compress_history();
+
   int i1, i2, itmp, n, type;
   double delx, dely, delz, delvx, delvy, delvz;
   double e, rsq, r, r0, rinv, smooth, fbond, dot;
@@ -226,6 +232,9 @@ void BondBPMSpring::compute(int eflag, int vflag)
 
     if (evflag) ev_tally(i1, i2, nlocal, newton_bond, 0.0, fbond, delx, dely, delz);
   }
+
+  if (hybrid_flag)
+    fix_bond_history->uncompress_history();
 }
 
 /* ---------------------------------------------------------------------- */
@@ -283,14 +292,6 @@ void BondBPMSpring::init_style()
 
   if (comm->ghost_velocity == 0)
     error->all(FLERR, "Bond bpm/spring requires ghost atoms store velocity");
-
-  if (!id_fix_bond_history) {
-    id_fix_bond_history = utils::strdup("HISTORY_BPM_SPRING");
-    fix_bond_history = dynamic_cast<FixBondHistory *>(modify->replace_fix(
-        id_fix_dummy2, fmt::format("{} all BOND_HISTORY 0 1", id_fix_bond_history), 1));
-    delete[] id_fix_dummy2;
-    id_fix_dummy2 = nullptr;
-  }
 }
 
 /* ---------------------------------------------------------------------- */

src/BPM/compute_nbond_atom.cpp

@@ -14,7 +14,9 @@
 #include "compute_nbond_atom.h"
 
 #include "atom.h"
+#include "atom_vec.h"
 #include "comm.h"
+#include "error.h"
 #include "force.h"
 #include "memory.h"
 
@@ -27,6 +29,21 @@ ComputeNBondAtom::ComputeNBondAtom(LAMMPS *_lmp, int narg, char **arg) :
 {
   if (narg < 3) utils::missing_cmd_args(FLERR, "compute nbond/atom", error);
 
+  if (atom->avec->bonds_allow == 0)
+    error->all(FLERR,"Compute nbond/atom used in system without bonds");
+
+  btype = -1;
+  int iarg = 3;
+  while (iarg < narg) {
+    if (strcmp(arg[iarg], "bond/type") == 0) {
+      if (iarg + 2 > narg) utils::missing_cmd_args(FLERR, "compute nbond/atom bond/type", error);
+      btype = utils::inumeric(FLERR, arg[iarg + 1], false, lmp);
+      iarg += 2;
+    } else {
+      error->all(FLERR, "Unknown compute nbond/atom command {}", arg[iarg]);
+    }
+  }
+
   peratom_flag = 1;
   size_peratom_cols = 0;
   comm_reverse = 1;
@@ -77,6 +94,7 @@ void ComputeNBondAtom::compute_peratom()
   for (i = 0; i < nlocal; i++) {
     for (j = 0; j < num_bond[i]; j++) {
       if (bond_type[i][j] <= 0) continue;
+      if (btype != -1 && bond_type[i][j] != btype) continue;
 
       k = atom->map(bond_atom[i][j]);
       if (k < 0) continue;

src/BPM/compute_nbond_atom.h

@@ -35,7 +35,7 @@ class ComputeNBondAtom : public Compute {
   double memory_usage() override;
 
  private:
-  int nmax;
+  int nmax, btype;
   double *nbond;
 };
 

src/BPM/fix_update_special_bonds.cpp

@@ -90,11 +90,13 @@ void FixUpdateSpecialBonds::pre_exchange()
   for (auto const &it : broken_pairs) {
     tagi = it.first;
     tagj = it.second;
+
     i = atom->map(tagi);
     j = atom->map(tagj);
 
     // remove i from special bond list for atom j and vice versa
     // ignore n2, n3 since 1-3, 1-4 special factors required to be 1.0
+    // assume ghosts don't need special information
     if (i < nlocal) {
       slist = special[i];
       n1 = nspecial[i][0];
@@ -126,19 +128,24 @@ void FixUpdateSpecialBonds::pre_exchange()
 
     // add i to special bond list for atom j and vice versa
     // ignore n2, n3 since 1-3, 1-4 special factors required to be 1.0
-    n1 = nspecial[i][0];
+    // assume ghosts don't need special information
-    if (n1 >= atom->maxspecial)
+    if (i < nlocal) {
-      error->one(FLERR, "Special list size exceeded in fix update/special/bond");
+      n1 = nspecial[i][0];
-    special[i][n1] = tagj;
+      if (n1 >= atom->maxspecial)
-    nspecial[i][0] += 1;
+        error->one(FLERR, "Special list size exceeded for atom {}", tagi);
-    nspecial[i][1] = nspecial[i][2] = nspecial[i][0];
+      special[i][n1] = tagj;
+      nspecial[i][0] += 1;
+      nspecial[i][1] = nspecial[i][2] = nspecial[i][0];
+    }
 
-    n1 = nspecial[j][0];
+    if (j < nlocal) {
-    if (n1 >= atom->maxspecial)
+      n1 = nspecial[j][0];
-      error->one(FLERR, "Special list size exceeded in fix update/special/bond");
+      if (n1 >= atom->maxspecial)
-    special[j][n1] = tagi;
+        error->one(FLERR, "Special list size exceeded for atom {}", tagj);
-    nspecial[j][0] += 1;
+      special[j][n1] = tagi;
-    nspecial[j][1] = nspecial[j][2] = nspecial[j][0];
+      nspecial[j][0] += 1;
+      nspecial[j][1] = nspecial[j][2] = nspecial[j][0];
+    }
   }
 
   broken_pairs.clear();
@@ -162,7 +169,7 @@ void FixUpdateSpecialBonds::pre_force(int /*vflag*/)
   tagint *tag = atom->tag;
 
   // In theory could communicate a list of broken bonds to neighboring processors here
-  // to remove restriction that users use Newton bond off
+  // to remove restriction on Newton bond off
 
   for (int ilist = 0; ilist < neighbor->nlist; ilist++) {
     list = neighbor->lists[ilist];

src/GRANULAR/fix_add_heat.cpp

@@ -0,0 +1,161 @@
+/* ----------------------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+   Contributing author: Joel Clemmer (SNL)
+------------------------------------------------------------------------- */
+
+#include "fix_add_heat.h"
+
+#include "atom.h"
+#include "error.h"
+#include "input.h"
+#include "memory.h"
+#include "update.h"
+#include "variable.h"
+
+using namespace LAMMPS_NS;
+using namespace FixConst;
+
+enum { CONSTANT, EQUAL, ATOM };
+enum { ADD, LINEAR, QUARTIC };
+
+/* ---------------------------------------------------------------------- */
+
+FixAddHeat::FixAddHeat(LAMMPS *lmp, int narg, char **arg) :
+  Fix(lmp, narg, arg), varstr(nullptr), vatom(nullptr)
+{
+  if (narg < 5) utils::missing_cmd_args(FLERR, "fix add/heat", error);
+  dynamic_group_allow = 1;
+  overwrite_flag = 0;
+
+  if (strcmp(arg[3], "constant") == 0) {
+    style = ADD;
+  } else if (strcmp(arg[3], "linear") == 0) {
+    style = LINEAR;
+  } else if (strcmp(arg[3], "quartic") == 0) {
+    style = QUARTIC;
+  } else {
+    error->all(FLERR, "Invalid option {}", arg[3]);
+  }
+
+  if (utils::strmatch(arg[4], "^v_")) {
+    varstr = utils::strdup(arg[4] + 2);
+  } else {
+    value = utils::numeric(FLERR, arg[4], false, lmp);
+    vstyle = CONSTANT;
+  }
+
+  int iarg = 5;
+  if (style != ADD) {
+    if (narg != 6) utils::missing_cmd_args(FLERR, "fix add/heat", error);
+    prefactor = utils::numeric(FLERR, arg[5], false, lmp);
+    iarg = 6;
+  }
+
+  // optional args
+
+  while (iarg < narg) {
+    if (strcmp(arg[iarg], "overwrite") == 0) {
+      if (iarg + 1 >= narg) utils::missing_cmd_args(FLERR, "fix add/heat", error);
+      overwrite_flag = utils::logical(FLERR, arg[iarg + 1], false, lmp);
+      iarg += 2;
+    } else {
+      error->all(FLERR, "Illegal fix add/heat command, invalid argument {}", arg[iarg]);
+    }
+  }
+
+  maxatom = -1;
+}
+
+/* ---------------------------------------------------------------------- */
+
+FixAddHeat::~FixAddHeat()
+{
+  delete[] varstr;
+  memory->destroy(vatom);
+}
+
+/* ---------------------------------------------------------------------- */
+
+int FixAddHeat::setmask()
+{
+  int mask = 0;
+  mask |= POST_FORCE;
+  return mask;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixAddHeat::init()
+{
+  if (!atom->temperature_flag)
+    error->all(FLERR, "Fix add/heat requires atom style with temperature property");
+  if (!atom->heatflow_flag)
+    error->all(FLERR, "Fix add/heat requires atom style with heatflow property");
+
+  // check variable
+
+  if (varstr) {
+    var = input->variable->find(varstr);
+    if (var < 0) error->all(FLERR, "Variable {} for fix addforce does not exist", varstr);
+    if (input->variable->equalstyle(var))
+      vstyle = EQUAL;
+    else if (input->variable->atomstyle(var))
+      vstyle = ATOM;
+    else
+      error->all(FLERR, "Variable {} for fix addforce is invalid style", varstr);
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixAddHeat::post_force(int /*vflag*/)
+{
+  int *mask = atom->mask;
+  double *heatflow = atom->heatflow;
+  double *temperature = atom->temperature;
+  double dtinv = 1.0 / update->dt;
+
+  if (vstyle == ATOM) {
+    if (atom->nmax > maxatom) {
+      maxatom = atom->nmax;
+      memory->destroy(vatom);
+      memory->create(vatom, maxatom, "addheat:vatom");
+    }
+
+    input->variable->compute_atom(var, igroup, &vatom[0], 1, 0);
+  }
+
+  if (overwrite_flag)
+    for (int i = 0; i < atom->nlocal; i++)
+      if (mask[i] & groupbit)
+        heatflow[i] = 0.0;
+
+  double vtmp, dt;
+  if (vstyle == CONSTANT) vtmp = value;
+  if (vstyle == EQUAL) vtmp = input->variable->compute_equal(var);
+  for (int i = 0; i < atom->nlocal; i++) {
+    if (mask[i] & groupbit) {
+      if (vstyle == ATOM) vtmp = vatom[i];
+
+      if (style == ADD) {
+        heatflow[i] += dtinv * vtmp;
+      } else if (style == LINEAR) {
+        heatflow[i] += dtinv * prefactor * (vtmp - temperature[i]);
+      } else if (style == QUARTIC) {
+        heatflow[i] += dtinv * prefactor * (pow(vtmp, 4.0) - pow(temperature[i], 4.0));
+      }
+    }
+  }
+}

src/GRANULAR/fix_add_heat.h

@@ -0,0 +1,45 @@
+/* -*- c++ -*- ----------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+#ifdef FIX_CLASS
+// clang-format off
+FixStyle(add/heat,FixAddHeat);
+// clang-format on
+#else
+
+#ifndef LMP_FIX_ADD_HEAT_H
+#define LMP_FIX_ADD_HEAT_H
+
+#include "fix.h"
+
+namespace LAMMPS_NS {
+
+class FixAddHeat : public Fix {
+ public:
+  FixAddHeat(class LAMMPS *, int, char **);
+  ~FixAddHeat() override;
+  int setmask() override;
+  void init() override;
+  void post_force(int) override;
+
+ protected:
+  double value, prefactor;
+  int var, vstyle, maxatom, style, overwrite_flag;
+  char *varstr;
+  double *vatom;
+};
+
+}    // namespace LAMMPS_NS
+
+#endif
+#endif

src/Makefile

@@ -124,6 +124,7 @@ PACKAGE = \
 	reaction \
 	reaxff \
 	replica \
+	rheo \
 	rigid \
 	scafacos \
 	shock \
@@ -233,6 +234,7 @@ PACKLIB = \
 	plumed \
 	qmmm \
 	ml-quip \
+	rheo \
 	scafacos \
 	machdyn \
 	vtk \
@@ -254,6 +256,7 @@ PACKEXT = \
 	netcdf \
 	plumed \
 	qmmm \
+	rheo \
 	scafacos \
 	voronoi \
 	vtk \

src/RHEO/Install.sh

@@ -0,0 +1,70 @@
+# Install/unInstall package files in LAMMPS
+# mode = 0/1/2 for uninstall/install/update
+
+mode=$1
+
+# enforce using portable C locale
+LC_ALL=C
+export LC_ALL
+
+# arg1 = file, arg2 = file it depends on
+
+action () {
+  if (test $mode = 0) then
+    rm -f ../$1
+  elif (! cmp -s $1 ../$1) then
+    if (test -z "$2" || test -e ../$2) then
+      cp $1 ..
+      if (test $mode = 2) then
+        echo "  updating src/$1"
+      fi
+    fi
+  elif (test -n "$2") then
+    if (test ! -e ../$2) then
+      rm -f ../$1
+    fi
+  fi
+}
+
+# some styles in RHEO have base classes in BPM
+
+if (test $1 = 1) then
+  if (test ! -e ../bond_bpm.cpp) then
+    echo "Must install BPM package with RHEO"
+    exit 1
+  fi
+fi
+
+for file in *.cpp *.h; do
+    action ${file}
+done
+
+# edit 2 Makefile.package files to include/exclude package info
+
+if (test $1 = 1) then
+
+  if (test -e ../Makefile.package) then
+    sed -i -e 's/[^ \t]*rheo[^ \t]* //' ../Makefile.package
+    sed -i -e 's|^PKG_SYSINC =[ \t]*|&$(rheo_SYSINC) |' ../Makefile.package
+    sed -i -e 's|^PKG_SYSLIB =[ \t]*|&$(rheo_SYSLIB) |' ../Makefile.package
+  fi
+
+  if (test -e ../Makefile.package.settings) then
+    sed -i -e '/^[ \t]*include.*rheo.*$/d' ../Makefile.package.settings
+    # multiline form needed for BSD sed on Macs
+    sed -i -e '4 i \
+include ..\/..\/lib\/rheo\/Makefile.lammps
+' ../Makefile.package.settings
+  fi
+
+elif (test $1 = 0) then
+
+  if (test -e ../Makefile.package) then
+    sed -i -e 's/[^ \t]*rheo[^ \t]* //' ../Makefile.package
+  fi
+
+  if (test -e ../Makefile.package.settings) then
+    sed -i -e '/^[ \t]*include.*rheo.*$/d' ../Makefile.package.settings
+  fi
+
+fi

src/RHEO/README

@@ -0,0 +1,10 @@
+RHEO or Reproducing Hydrodynamics and Elastic Objects is a package to model
+multiphase fluid systems. The authors include Joel Clemmer (Sandia), Thomas
+O'Connor (Carnegie Mellon), and Eric Palermo (Carnegie Mellon).
+
+Bond style rheo/shell, compute style rheo/property/atom, and fix style
+rheo/temperature all depend on the BPM package.
+
+This package requires the GNU scientific library (GSL). We recommend version
+2.7 or later. To build this package, one must first separately install GSL in
+a location that can be found by your environment.

src/RHEO/atom_vec_rheo.cpp

@@ -0,0 +1,174 @@
+// clang-format off
+/* ----------------------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+   Contributing authors:
+   Joel Clemmer (SNL)
+----------------------------------------------------------------------- */
+
+#include "atom_vec_rheo.h"
+
+#include "atom.h"
+
+#include <cstring>
+
+using namespace LAMMPS_NS;
+
+/* ---------------------------------------------------------------------- */
+
+AtomVecRHEO::AtomVecRHEO(LAMMPS *lmp) : AtomVec(lmp)
+{
+  molecular = Atom::ATOMIC;
+  mass_type = PER_TYPE;
+  forceclearflag = 1;
+
+  atom->rheo_status_flag = 1;
+  atom->pressure_flag = 1;
+  atom->rho_flag = 1;
+  atom->viscosity_flag = 1;
+
+  // strings with peratom variables to include in each AtomVec method
+  // strings cannot contain fields in corresponding AtomVec default strings
+  // order of fields in a string does not matter
+  // except: fields_data_atom & fields_data_vel must match data file
+
+  fields_grow = {"rheo_status", "rho", "drho", "pressure", "viscosity"};
+  fields_copy = {"rheo_status", "rho", "drho", "pressure", "viscosity"};
+  fields_comm = {"rheo_status", "rho"};
+  fields_comm_vel = {"rheo_status", "rho"};
+  fields_reverse = {"drho"};
+  fields_border = {"rheo_status", "rho"};
+  fields_border_vel = {"rheo_status", "rho"};
+  fields_exchange = {"rheo_status", "rho"};
+  fields_restart = {"rheo_status", "rho"};
+  fields_create = {"rheo_status", "rho", "drho", "pressure", "viscosity"};
+  fields_data_atom = {"id", "type", "rheo_status", "rho", "x"};
+  fields_data_vel = {"id", "v"};
+
+  setup_fields();
+}
+
+/* ----------------------------------------------------------------------
+   set local copies of all grow ptrs used by this class, except defaults
+   needed in replicate when 2 atom classes exist and it calls pack_restart()
+------------------------------------------------------------------------- */
+
+void AtomVecRHEO::grow_pointers()
+{
+  rheo_status = atom->rheo_status;
+  pressure = atom->pressure;
+  rho = atom->rho;
+  drho = atom->drho;
+  viscosity = atom->viscosity;
+}
+
+/* ----------------------------------------------------------------------
+   clear extra forces starting at atom N
+   nbytes = # of bytes to clear for a per-atom vector
+------------------------------------------------------------------------- */
+
+void AtomVecRHEO::force_clear(int n, size_t nbytes)
+{
+  memset(&drho[n], 0, nbytes);
+}
+
+/* ----------------------------------------------------------------------
+   initialize non-zero atom quantities
+------------------------------------------------------------------------- */
+
+void AtomVecRHEO::create_atom_post(int ilocal)
+{
+  rho[ilocal] = 1.0;
+}
+
+/* ----------------------------------------------------------------------
+   modify what AtomVec::data_atom() just unpacked
+   or initialize other atom quantities
+------------------------------------------------------------------------- */
+
+void AtomVecRHEO::data_atom_post(int ilocal)
+{
+  drho[ilocal] = 0.0;
+  pressure[ilocal] = 0.0;
+  viscosity[ilocal] = 0.0;
+}
+
+/* ----------------------------------------------------------------------
+   assign an index to named atom property and return index
+   return -1 if name is unknown to this atom style
+------------------------------------------------------------------------- */
+
+int AtomVecRHEO::property_atom(const std::string &name)
+{
+  if (name == "rheo_status") return 0;
+  if (name == "pressure") return 1;
+  if (name == "rho") return 2;
+  if (name == "drho") return 3;
+  if (name == "viscosity") return 4;
+  return -1;
+}
+
+/* ----------------------------------------------------------------------
+   pack per-atom data into buf for ComputePropertyAtom
+   index maps to data specific to this atom style
+------------------------------------------------------------------------- */
+
+void AtomVecRHEO::pack_property_atom(int index, double *buf, int nvalues, int groupbit)
+{
+  int *mask = atom->mask;
+  int nlocal = atom->nlocal;
+  int n = 0;
+
+  if (index == 0) {
+    for (int i = 0; i < nlocal; i++) {
+      if (mask[i] & groupbit)
+        buf[n] = rheo_status[i];
+      else
+        buf[n] = 0.0;
+      n += nvalues;
+    }
+  } else if (index == 1) {
+    for (int i = 0; i < nlocal; i++) {
+      if (mask[i] & groupbit)
+        buf[n] = pressure[i];
+      else
+        buf[n] = 0.0;
+      n += nvalues;
+    }
+  } else if (index == 2) {
+    for (int i = 0; i < nlocal; i++) {
+      if (mask[i] & groupbit)
+        buf[n] = rho[i];
+      else
+        buf[n] = 0.0;
+      n += nvalues;
+    }
+  } else if (index == 3) {
+    for (int i = 0; i < nlocal; i++) {
+      if (mask[i] & groupbit)
+        buf[n] = drho[i];
+      else
+        buf[n] = 0.0;
+      n += nvalues;
+    }
+  } else if (index == 4) {
+    for (int i = 0; i < nlocal; i++) {
+      if (mask[i] & groupbit)
+        buf[n] = viscosity[i];
+      else
+        buf[n] = 0.0;
+      n += nvalues;
+    }
+  }
+}

src/RHEO/atom_vec_rheo.h

@@ -0,0 +1,46 @@
+/* -*- c++ -*- ----------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+#ifdef ATOM_CLASS
+// clang-format off
+AtomStyle(rheo,AtomVecRHEO);
+// clang-format on
+#else
+
+#ifndef LMP_ATOM_VEC_RHEO_H
+#define LMP_ATOM_VEC_RHEO_H
+
+#include "atom_vec.h"
+
+namespace LAMMPS_NS {
+
+class AtomVecRHEO : virtual public AtomVec {
+ public:
+  AtomVecRHEO(class LAMMPS *);
+
+  void grow_pointers() override;
+  void force_clear(int, size_t) override;
+  void create_atom_post(int) override;
+  void data_atom_post(int) override;
+  int property_atom(const std::string &) override;
+  void pack_property_atom(int, double *, int, int) override;
+
+ private:
+  int *rheo_status;
+  double *pressure, *rho, *drho, *viscosity;
+};
+
+}    // namespace LAMMPS_NS
+
+#endif
+#endif

src/RHEO/atom_vec_rheo_thermal.cpp

@@ -0,0 +1,222 @@
+// clang-format off
+/* ----------------------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+   Contributing authors:
+   Joel Clemmer (SNL)
+----------------------------------------------------------------------- */
+
+#include "atom_vec_rheo_thermal.h"
+
+#include "atom.h"
+
+#include <cstring>
+
+using namespace LAMMPS_NS;
+
+/* ---------------------------------------------------------------------- */
+
+AtomVecRHEOThermal::AtomVecRHEOThermal(LAMMPS *lmp) : AtomVec(lmp)
+{
+  molecular = Atom::ATOMIC;
+  mass_type = PER_TYPE;
+  forceclearflag = 1;
+
+  atom->rheo_status_flag = 1;
+  atom->conductivity_flag = 1;
+  atom->temperature_flag = 1;
+  atom->esph_flag = 1;
+  atom->heatflow_flag = 1;
+  atom->pressure_flag = 1;
+  atom->rho_flag = 1;
+  atom->viscosity_flag = 1;
+
+  // strings with peratom variables to include in each AtomVec method
+  // strings cannot contain fields in corresponding AtomVec default strings
+  // order of fields in a string does not matter
+  // except: fields_data_atom & fields_data_vel must match data file
+
+  fields_grow = {"rheo_status", "rho", "drho", "temperature", "esph", "heatflow", "conductivity", "pressure", "viscosity"};
+  fields_copy = {"rheo_status", "rho", "drho", "temperature", "esph", "heatflow", "conductivity", "pressure", "viscosity"};
+  fields_comm = {"rheo_status", "rho", "esph"};
+  fields_comm_vel = {"rheo_status", "rho", "esph"};
+  fields_reverse = {"drho", "heatflow"};
+  fields_border = {"rheo_status", "rho", "esph"};
+  fields_border_vel = {"rheo_status", "rho", "esph"};
+  fields_exchange = {"rheo_status", "rho", "esph"};
+  fields_restart = {"rheo_status", "rho", "esph"};
+  fields_create = {"rheo_status", "rho", "drho", "temperature", "esph", "heatflow", "conductivity", "pressure", "viscosity"};
+  fields_data_atom = {"id", "type", "rheo_status", "rho", "esph", "x"};
+  fields_data_vel = {"id", "v"};
+
+  setup_fields();
+}
+
+/* ----------------------------------------------------------------------
+   set local copies of all grow ptrs used by this class, except defaults
+   needed in replicate when 2 atom classes exist and it calls pack_restart()
+------------------------------------------------------------------------- */
+
+void AtomVecRHEOThermal::grow_pointers()
+{
+  rheo_status = atom->rheo_status;
+  conductivity = atom->conductivity;
+  temperature = atom->temperature;
+  esph = atom->esph;
+  heatflow = atom->heatflow;
+  pressure = atom->pressure;
+  rho = atom->rho;
+  drho = atom->drho;
+  viscosity = atom->viscosity;
+}
+
+/* ----------------------------------------------------------------------
+   clear extra forces starting at atom N
+   nbytes = # of bytes to clear for a per-atom vector
+------------------------------------------------------------------------- */
+
+void AtomVecRHEOThermal::force_clear(int n, size_t nbytes)
+{
+  memset(&drho[n], 0, nbytes);
+  memset(&heatflow[n], 0, nbytes);
+}
+
+/* ----------------------------------------------------------------------
+   initialize non-zero atom quantities
+------------------------------------------------------------------------- */
+
+void AtomVecRHEOThermal::create_atom_post(int ilocal)
+{
+  rho[ilocal] = 1.0;
+}
+
+/* ----------------------------------------------------------------------
+   modify what AtomVec::data_atom() just unpacked
+   or initialize other atom quantities
+------------------------------------------------------------------------- */
+
+void AtomVecRHEOThermal::data_atom_post(int ilocal)
+{
+  drho[ilocal] = 0.0;
+  heatflow[ilocal] = 0.0;
+  temperature[ilocal] = 0.0;
+  pressure[ilocal] = 0.0;
+  viscosity[ilocal] = 0.0;
+  conductivity[ilocal] = 0.0;
+}
+
+/* ----------------------------------------------------------------------
+   assign an index to named atom property and return index
+   return -1 if name is unknown to this atom style
+------------------------------------------------------------------------- */
+
+int AtomVecRHEOThermal::property_atom(const std::string &name)
+{
+  if (name == "rheo_status") return 0;
+  if (name == "rho") return 1;
+  if (name == "drho") return 2;
+  if (name == "temperature") return 3;
+  if (name == "esph") return 4;
+  if (name == "heatflow") return 5;
+  if (name == "conductivity") return 6;
+  if (name == "pressure") return 7;
+  if (name == "viscosity") return 8;
+  return -1;
+}
+
+/* ----------------------------------------------------------------------
+   pack per-atom data into buf for ComputePropertyAtom
+   index maps to data specific to this atom style
+------------------------------------------------------------------------- */
+
+void AtomVecRHEOThermal::pack_property_atom(int index, double *buf, int nvalues, int groupbit)
+{
+  int *mask = atom->mask;
+  int nlocal = atom->nlocal;
+  int n = 0;
+
+  if (index == 0) {
+    for (int i = 0; i < nlocal; i++) {
+      if (mask[i] & groupbit)
+        buf[n] = rheo_status[i];
+      else
+        buf[n] = 0.0;
+      n += nvalues;
+    }
+  } else if (index == 1) {
+    for (int i = 0; i < nlocal; i++) {
+      if (mask[i] & groupbit)
+        buf[n] = rho[i];
+      else
+        buf[n] = 0.0;
+      n += nvalues;
+    }
+  } else if (index == 2) {
+    for (int i = 0; i < nlocal; i++) {
+      if (mask[i] & groupbit)
+        buf[n] = drho[i];
+      else
+        buf[n] = 0.0;
+      n += nvalues;
+    }
+  } else if (index == 3) {
+    for (int i = 0; i < nlocal; i++) {
+      if (mask[i] & groupbit)
+        buf[n] = temperature[i];
+      else
+        buf[n] = 0.0;
+      n += nvalues;
+    }
+  } else if (index == 4) {
+    for (int i = 0; i < nlocal; i++) {
+      if (mask[i] & groupbit)
+        buf[n] = esph[i];
+      else
+        buf[n] = 0.0;
+      n += nvalues;
+    }
+  } else if (index == 5) {
+    for (int i = 0; i < nlocal; i++) {
+      if (mask[i] & groupbit)
+        buf[n] = heatflow[i];
+      else
+        buf[n] = 0.0;
+      n += nvalues;
+    }
+  } else if (index == 6) {
+    for (int i = 0; i < nlocal; i++) {
+      if (mask[i] & groupbit)
+        buf[n] = conductivity[i];
+      else
+        buf[n] = 0.0;
+      n += nvalues;
+    }
+  } else if (index == 7) {
+    for (int i = 0; i < nlocal; i++) {
+      if (mask[i] & groupbit)
+        buf[n] = pressure[i];
+      else
+        buf[n] = 0.0;
+      n += nvalues;
+    }
+  } else if (index == 8) {
+    for (int i = 0; i < nlocal; i++) {
+      if (mask[i] & groupbit)
+        buf[n] = viscosity[i];
+      else
+        buf[n] = 0.0;
+      n += nvalues;
+    }
+  }
+}

src/RHEO/atom_vec_rheo_thermal.h

@@ -0,0 +1,47 @@
+/* -*- c++ -*- ----------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+#ifdef ATOM_CLASS
+// clang-format off
+AtomStyle(rheo/thermal,AtomVecRHEOThermal);
+// clang-format on
+#else
+
+#ifndef LMP_ATOM_VEC_RHEO_THERMAL_H
+#define LMP_ATOM_VEC_RHEO_THERMAL_H
+
+#include "atom_vec.h"
+
+namespace LAMMPS_NS {
+
+class AtomVecRHEOThermal : virtual public AtomVec {
+ public:
+  AtomVecRHEOThermal(class LAMMPS *);
+
+  void grow_pointers() override;
+  void force_clear(int, size_t) override;
+  void create_atom_post(int) override;
+  void data_atom_post(int) override;
+  int property_atom(const std::string &) override;
+  void pack_property_atom(int, double *, int, int) override;
+
+ private:
+  int *rheo_status;
+  double *conductivity, *temperature, *heatflow, *esph;
+  double *pressure, *rho, *drho, *viscosity;
+};
+
+}    // namespace LAMMPS_NS
+
+#endif
+#endif

src/RHEO/bond_rheo_shell.cpp

@@ -0,0 +1,591 @@
+// clang-format off
+/* ----------------------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+   Contributing authors:
+   Joel Clemmer (SNL)
+----------------------------------------------------------------------- */
+
+#include "bond_rheo_shell.h"
+
+#include "atom.h"
+#include "comm.h"
+#include "compute_rheo_surface.h"
+#include "domain.h"
+#include "error.h"
+#include "fix_bond_history.h"
+#include "fix_rheo.h"
+#include "fix_rheo_oxidation.h"
+#include "fix_store_local.h"
+#include "force.h"
+#include "memory.h"
+#include "modify.h"
+#include "neighbor.h"
+#include "update.h"
+
+#include <cmath>
+#include <cstring>
+
+#define EPSILON 1e-10
+
+using namespace LAMMPS_NS;
+using namespace RHEO_NS;
+
+/* ---------------------------------------------------------------------- */
+
+BondRHEOShell::BondRHEOShell(LAMMPS *_lmp) :
+    BondBPM(_lmp), compute_surface(nullptr), k(nullptr), ecrit(nullptr), gamma(nullptr)
+{
+  partial_flag = 1;
+  comm_reverse = 1;
+
+  nhistory = 2;
+  update_flag = 1;
+  id_fix_bond_history = utils::strdup("HISTORY_RHEO_SHELL");
+  ignore_special_flag = 1;
+
+  tform = -1;
+
+  single_extra = 1;
+  svector = new double[1];
+
+  // For nbond, create an instance of fix property atom
+  // Need restarts + exchanging with neighbors since it needs to persist
+  // between timesteps (fix property atom will handle callbacks)
+
+  int tmp1, tmp2;
+  index_nb = atom->find_custom("shell_nbond", tmp1, tmp2);
+  if (index_nb == -1) {
+    id_fix = utils::strdup("bond_rheo_shell_fix_property_atom");
+    modify->add_fix(fmt::format("{} all property/atom i_shell_nbond", id_fix));
+    index_nb = atom->find_custom("shell_nbond", tmp1, tmp2);
+  }
+  nbond = atom->ivector[index_nb];
+
+  //Store non-persistent per atom quantities, intermediate
+
+  nmax_store = atom->nmax;
+  memory->create(dbond, nmax_store, "rheo/react:dbond");
+}
+
+/* ---------------------------------------------------------------------- */
+
+BondRHEOShell::~BondRHEOShell()
+{
+  if (modify->nfix) modify->delete_fix(id_fix);
+  delete[] id_fix;
+  delete[] svector;
+
+  if (allocated) {
+    memory->destroy(setflag);
+    memory->destroy(k);
+    memory->destroy(ecrit);
+    memory->destroy(gamma);
+  }
+
+  memory->destroy(dbond);
+}
+
+/* ----------------------------------------------------------------------
+  Store data for a single bond - if bond added after LAMMPS init (e.g. pour)
+------------------------------------------------------------------------- */
+
+double BondRHEOShell::store_bond(int n, int i, int j)
+{
+  double **bondstore = fix_bond_history->bondstore;
+  tagint *tag = atom->tag;
+
+  bondstore[n][0] = 0.0;
+  bondstore[n][1] = 0.0;
+
+  if (i < atom->nlocal) {
+    for (int m = 0; m < atom->num_bond[i]; m++) {
+      if (atom->bond_atom[i][m] == tag[j]) {
+        fix_bond_history->update_atom_value(i, m, 0, 0.0);
+        fix_bond_history->update_atom_value(i, m, 1, 0.0);
+      }
+    }
+  }
+
+  if (j < atom->nlocal) {
+    for (int m = 0; m < atom->num_bond[j]; m++) {
+      if (atom->bond_atom[j][m] == tag[i]) {
+        fix_bond_history->update_atom_value(j, m, 0, 0.0);
+        fix_bond_history->update_atom_value(j, m, 1, 0.0);
+      }
+    }
+  }
+
+  return 0.0;
+}
+
+/* ----------------------------------------------------------------------
+  Store data for all bonds called once
+------------------------------------------------------------------------- */
+
+void BondRHEOShell::store_data()
+{
+  int i, j, m, type;
+  int **bond_type = atom->bond_type;
+
+  for (i = 0; i < atom->nlocal; i++) {
+    for (m = 0; m < atom->num_bond[i]; m++) {
+      type = bond_type[i][m];
+
+      //Skip if bond was turned off
+      if (type < 0) continue;
+
+      // map to find index n
+      j = atom->map(atom->bond_atom[i][m]);
+      if (j == -1) error->one(FLERR, "Atom missing in BPM bond");
+
+      fix_bond_history->update_atom_value(i, m, 0, 0.0);
+      fix_bond_history->update_atom_value(i, m, 1, 0.0);
+    }
+  }
+
+  fix_bond_history->post_neighbor();
+}
+
+/* ---------------------------------------------------------------------- */
+
+void BondRHEOShell::compute(int eflag, int vflag)
+{
+  if (!fix_bond_history->stored_flag) {
+    fix_bond_history->stored_flag = true;
+    store_data();
+  }
+
+  if (hybrid_flag)
+    fix_bond_history->compress_history();
+
+  int i1, i2, itmp, n, type;
+  double delx, dely, delz, delvx, delvy, delvz;
+  double e, rsq, r, r0, rinv, dr, fbond, dot, t;
+  double dt = update->dt;
+
+  ev_init(eflag, vflag);
+
+  double *rsurface = compute_surface->rsurface;
+  double **x = atom->x;
+  double **v = atom->v;
+  double **f = atom->f;
+  tagint *tag = atom->tag;
+  int *status = atom->rheo_status;
+  int **bondlist = neighbor->bondlist;
+  int nbondlist = neighbor->nbondlist;
+  int nlocal = atom->nlocal;
+  int newton_bond = force->newton_bond;
+
+  double **bondstore = fix_bond_history->bondstore;
+
+  if (atom->nmax > nmax_store){
+    nmax_store = atom->nmax;
+    memory->destroy(dbond);
+    memory->create(dbond, nmax_store, "rheo/shell:dbond");
+  }
+
+  size_t nbytes = nmax_store * sizeof(int);
+  memset(&dbond[0], 0, nbytes);
+
+  for (n = 0; n < nbondlist; n++) {
+    // skip bond if already broken
+    if (bondlist[n][2] <= 0) continue;
+
+    i1 = bondlist[n][0];
+    i2 = bondlist[n][1];
+    type = bondlist[n][2];
+    r0 = bondstore[n][0];
+    t = bondstore[n][1];
+
+    // Ensure pair is always ordered to ensure numerical operations
+    // are identical to minimize the possibility that a bond straddling
+    // an mpi grid (newton off) doesn't break on one proc but not the other
+    if (tag[i2] < tag[i1]) {
+      itmp = i1;
+      i1 = i2;
+      i2 = itmp;
+    }
+
+    delx = x[i1][0] - x[i2][0];
+    dely = x[i1][1] - x[i2][1];
+    delz = x[i1][2] - x[i2][2];
+    rsq = delx * delx + dely * dely + delz * delz;
+    r = sqrt(rsq);
+
+    // If bond hasn't been set - zero data
+    if (t < EPSILON || std::isnan(t))
+      t = store_bond(n, i1, i2);
+
+    delx = x[i1][0] - x[i2][0];
+    dely = x[i1][1] - x[i2][1];
+    delz = x[i1][2] - x[i2][2];
+
+    rsq = delx * delx + dely * dely + delz * delz;
+    r = sqrt(rsq);
+
+    // Bond has not yet formed, check if in range + update timer
+    if (t < tform) {
+
+      // Check if eligible
+      if (r > rmax || rsurface[i1] > rsurf || rsurface[i2] > rsurf) {
+        bondlist[n][2] = 0;
+        process_ineligibility(i1, i2);
+        continue;
+      }
+
+      // Check ellapsed time
+      t += dt;
+      bondstore[n][1] = t;
+      if (t >= tform) {
+        bondstore[n][0] = r;
+        r0 = r;
+        if (newton_bond || i1 < nlocal) dbond[i1]++;
+        if (newton_bond || i2 < nlocal) dbond[i2]++;
+      } else {
+        continue;
+      }
+    }
+
+    e = (r - r0) / r0;
+    if (fabs(e) > ecrit[type]) {
+      bondlist[n][2] = 0;
+      process_broken(i1, i2);
+      if (newton_bond || i1 < nlocal) dbond[i1]--;
+      if (newton_bond || i2 < nlocal) dbond[i2]--;
+      continue;
+    }
+
+    rinv = 1.0 / r;
+    dr = r - r0;
+    fbond = 2 * k[type] * (-dr + dr * dr * dr / (r0 * r0 * ecrit[type] * ecrit[type]));
+
+    delvx = v[i1][0] - v[i2][0];
+    delvy = v[i1][1] - v[i2][1];
+    delvz = v[i1][2] - v[i2][2];
+    dot = delx * delvx + dely * delvy + delz * delvz;
+    fbond -= gamma[type] * dot * rinv;
+    fbond *= rinv;
+
+    if (newton_bond || i1 < nlocal) {
+      f[i1][0] += delx * fbond;
+      f[i1][1] += dely * fbond;
+      f[i1][2] += delz * fbond;
+    }
+
+    if (newton_bond || i2 < nlocal) {
+      f[i2][0] -= delx * fbond;
+      f[i2][1] -= dely * fbond;
+      f[i2][2] -= delz * fbond;
+    }
+
+    if (evflag) ev_tally(i1, i2, nlocal, newton_bond, 0.0, fbond, delx, dely, delz);
+  }
+
+  // Communicate changes in nbond
+  if (newton_bond) comm->reverse_comm(this);
+
+  for(int i = 0; i < nlocal; i++) {
+    nbond[i] += dbond[i];
+
+    // If it has bonds, no shifting
+    if (nbond[i] != 0) status[i] |= STATUS_NO_SHIFT;
+  }
+
+  if (hybrid_flag)
+    fix_bond_history->uncompress_history();
+}
+
+/* ---------------------------------------------------------------------- */
+
+void BondRHEOShell::allocate()
+{
+  allocated = 1;
+  const int np1 = atom->nbondtypes + 1;
+
+  memory->create(k, np1, "bond:k");
+  memory->create(ecrit, np1, "bond:ecrit");
+  memory->create(gamma, np1, "bond:gamma");
+
+  memory->create(setflag, np1, "bond:setflag");
+  for (int i = 1; i < np1; i++) setflag[i] = 0;
+}
+
+/* ----------------------------------------------------------------------
+   set coeffs for one or more types
+------------------------------------------------------------------------- */
+
+void BondRHEOShell::coeff(int narg, char **arg)
+{
+  if (narg != 4) error->all(FLERR, "Incorrect args for bond coefficients");
+  if (!allocated) allocate();
+
+  int ilo, ihi;
+  utils::bounds(FLERR, arg[0], 1, atom->nbondtypes, ilo, ihi, error);
+
+  double k_one = utils::numeric(FLERR, arg[1], false, lmp);
+  double ecrit_one = utils::numeric(FLERR, arg[2], false, lmp);
+  double gamma_one = utils::numeric(FLERR, arg[3], false, lmp);
+
+  int count = 0;
+  for (int i = ilo; i <= ihi; i++) {
+    k[i] = k_one;
+    ecrit[i] = ecrit_one;
+    gamma[i] = gamma_one;
+    setflag[i] = 1;
+    count++;
+
+    if (1.0 + ecrit[i] > max_stretch) max_stretch = 1.0 + ecrit[i];
+  }
+
+  if (count == 0) error->all(FLERR, "Incorrect args for bond coefficients");
+}
+
+/* ----------------------------------------------------------------------
+   check for correct settings and create fix
+------------------------------------------------------------------------- */
+
+void BondRHEOShell::init_style()
+{
+  BondBPM::init_style();
+
+  if (comm->ghost_velocity == 0)
+    error->all(FLERR, "Bond rheo/shell requires ghost atoms store velocity");
+
+  auto fixes = modify->get_fix_by_style("^rheo$");
+  if (fixes.size() == 0) error->all(FLERR, "Need to define fix rheo to use bond rheo/shell");
+  class FixRHEO *fix_rheo = dynamic_cast<FixRHEO *>(fixes[0]);
+
+  if (!fix_rheo->surface_flag) error->all(FLERR,
+      "Bond rheo/shell requires surface calculation in fix rheo");
+  compute_surface = fix_rheo->compute_surface;
+
+  fixes = modify->get_fix_by_style("^rheo/oxidation$");
+  if (fixes.size() == 0) error->all(FLERR, "Need to define fix rheo/oxidation to use bond rheo/shell");
+  class FixRHEOOxidation *fix_rheo_oxidation = dynamic_cast<FixRHEOOxidation *>(fixes[0]);
+
+  rsurf = fix_rheo_oxidation->rsurf;
+  rmax = fix_rheo_oxidation->cut;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void BondRHEOShell::settings(int narg, char **arg)
+{
+  BondBPM::settings(narg, arg);
+
+  int iarg;
+  for (std::size_t i = 0; i < leftover_iarg.size(); i++) {
+    iarg = leftover_iarg[i];
+    if (strcmp(arg[iarg], "t/form") == 0) {
+      if (iarg + 1 > narg) utils::missing_cmd_args(FLERR, "bond rheo/shell t/form", error);
+      tform = utils::numeric(FLERR, arg[iarg + 1], false, lmp);
+      i += 1;
+    } else {
+      error->all(FLERR, "Illegal bond rheo/shell command, invalid argument {}", arg[iarg]);
+    }
+  }
+
+  if (tform < 0.0)
+    error->all(FLERR, "Illegal bond rheo/shell command, must specify positive formation time");
+}
+
+
+/* ----------------------------------------------------------------------
+   used to check bond communiction cutoff - not perfect, estimates based on local-local only
+------------------------------------------------------------------------- */
+
+double BondRHEOShell::equilibrium_distance(int /*i*/)
+{
+  // Divide out heuristic prefactor added in comm class
+  return max_stretch * rmax / 1.5;
+}
+
+/* ----------------------------------------------------------------------
+   proc 0 writes out coeffs to restart file
+------------------------------------------------------------------------- */
+
+void BondRHEOShell::write_restart(FILE *fp)
+{
+  BondBPM::write_restart(fp);
+  write_restart_settings(fp);
+
+  fwrite(&k[1], sizeof(double), atom->nbondtypes, fp);
+  fwrite(&ecrit[1], sizeof(double), atom->nbondtypes, fp);
+  fwrite(&gamma[1], sizeof(double), atom->nbondtypes, fp);
+}
+
+/* ----------------------------------------------------------------------
+   proc 0 reads coeffs from restart file, bcasts them
+------------------------------------------------------------------------- */
+
+void BondRHEOShell::read_restart(FILE *fp)
+{
+  BondBPM::read_restart(fp);
+  read_restart_settings(fp);
+  allocate();
+
+  if (comm->me == 0) {
+    utils::sfread(FLERR, &k[1], sizeof(double), atom->nbondtypes, fp, nullptr, error);
+    utils::sfread(FLERR, &ecrit[1], sizeof(double), atom->nbondtypes, fp, nullptr, error);
+    utils::sfread(FLERR, &gamma[1], sizeof(double), atom->nbondtypes, fp, nullptr, error);
+  }
+  MPI_Bcast(&k[1], atom->nbondtypes, MPI_DOUBLE, 0, world);
+  MPI_Bcast(&ecrit[1], atom->nbondtypes, MPI_DOUBLE, 0, world);
+  MPI_Bcast(&gamma[1], atom->nbondtypes, MPI_DOUBLE, 0, world);
+
+  for (int i = 1; i <= atom->nbondtypes; i++) setflag[i] = 1;
+}
+
+/* ----------------------------------------------------------------------
+   proc 0 writes to restart file
+ ------------------------------------------------------------------------- */
+
+void BondRHEOShell::write_restart_settings(FILE *fp)
+{
+  fwrite(&tform, sizeof(double), 1, fp);
+}
+
+/* ----------------------------------------------------------------------
+    proc 0 reads from restart file, bcasts
+ ------------------------------------------------------------------------- */
+
+void BondRHEOShell::read_restart_settings(FILE *fp)
+{
+  if (comm->me == 0) {
+    utils::sfread(FLERR, &tform, sizeof(double), 1, fp, nullptr, error);
+  }
+  MPI_Bcast(&tform, 1, MPI_DOUBLE, 0, world);
+}
+
+
+/* ---------------------------------------------------------------------- */
+
+int BondRHEOShell::pack_reverse_comm(int n, int first, double *buf)
+{
+  int i, m, last;
+  m = 0;
+  last = first + n;
+
+  for (i = first; i < last; i++) {
+    buf[m++] = dbond[i];
+  }
+  return m;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void BondRHEOShell::unpack_reverse_comm(int n, int *list, double *buf)
+{
+  int i, j, m;
+
+  m = 0;
+  for (i = 0; i < n; i++) {
+    j = list[i];
+    dbond[j] += buf[m++];
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+double BondRHEOShell::single(int type, double rsq, int i, int j, double &fforce)
+{
+  if (type <= 0) return 0.0;
+
+  double r0, t;
+  for (int n = 0; n < atom->num_bond[i]; n++) {
+    if (atom->bond_atom[i][n] == atom->tag[j]) {
+      r0 = fix_bond_history->get_atom_value(i, n, 0);
+      t = fix_bond_history->get_atom_value(i, n, 1);
+    }
+  }
+
+  svector[1] = t;
+  if (t < tform) return 0.0;
+
+  double r = sqrt(rsq);
+  double rinv = 1.0 / r;
+  double dr = r0 - r;
+  fforce = 2 * k[type] * (dr + dr * dr * dr / (r0 * r0 * ecrit[type] * ecrit[type]));
+
+  double **x = atom->x;
+  double **v = atom->v;
+  double delx = x[i][0] - x[j][0];
+  double dely = x[i][1] - x[j][1];
+  double delz = x[i][2] - x[j][2];
+  double delvx = v[i][0] - v[j][0];
+  double delvy = v[i][1] - v[j][1];
+  double delvz = v[i][2] - v[j][2];
+  double dot = delx * delvx + dely * delvy + delz * delvz;
+  fforce -= gamma[type] * dot * rinv;
+  fforce *= rinv;
+
+  // set single_extra quantities
+
+  svector[0] = r0;
+
+  return 0.0;
+}
+
+/* ----------------------------------------------------------------------
+    Similar to BondBPM->process_broken(), but don't send to FixStoreLocal
+ ------------------------------------------------------------------------- */
+
+void BondRHEOShell::process_ineligibility(int i, int j)
+{
+  // Manually search and remove from atom arrays
+  int m, n;
+  int nlocal = atom->nlocal;
+
+  tagint *tag = atom->tag;
+  tagint **bond_atom = atom->bond_atom;
+  int **bond_type = atom->bond_type;
+  int *num_bond = atom->num_bond;
+
+  if (i < nlocal) {
+    for (m = 0; m < num_bond[i]; m++) {
+      if (bond_atom[i][m] == tag[j] && setflag[bond_type[i][m]]) {
+        bond_type[i][m] = 0;
+        n = num_bond[i];
+        bond_type[i][m] = bond_type[i][n - 1];
+        bond_atom[i][m] = bond_atom[i][n - 1];
+        for (auto &ihistory: histories) {
+          auto fix_bond_history2 = dynamic_cast<FixBondHistory *> (ihistory);
+          fix_bond_history2->shift_history(i, m, n - 1);
+          fix_bond_history2->delete_history(i, n - 1);
+        }
+        num_bond[i]--;
+        break;
+      }
+    }
+  }
+
+  if (j < nlocal) {
+    for (m = 0; m < num_bond[j]; m++) {
+      if (bond_atom[j][m] == tag[i] && setflag[bond_type[j][m]]) {
+        bond_type[j][m] = 0;
+        n = num_bond[j];
+        bond_type[j][m] = bond_type[j][n - 1];
+        bond_atom[j][m] = bond_atom[j][n - 1];
+        for (auto &ihistory: histories) {
+          auto fix_bond_history2 = dynamic_cast<FixBondHistory *> (ihistory);
+          fix_bond_history2->shift_history(j, m, n - 1);
+          fix_bond_history2->delete_history(j, n - 1);
+        }
+        num_bond[j]--;
+        break;
+      }
+    }
+  }
+}

src/RHEO/bond_rheo_shell.h

@@ -0,0 +1,63 @@
+/* -*- c++ -*- ----------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+#ifdef BOND_CLASS
+// clang-format off
+BondStyle(rheo/shell,BondRHEOShell);
+// clang-format on
+#else
+
+#ifndef LMP_BOND_RHEO_SHELL_H
+#define LMP_BOND_RHEO_SHELL_H
+
+#include "bond_bpm.h"
+
+namespace LAMMPS_NS {
+
+class BondRHEOShell : public BondBPM {
+ public:
+  BondRHEOShell(class LAMMPS *);
+  ~BondRHEOShell() override;
+  void compute(int, int) override;
+  void coeff(int, char **) override;
+  void init_style() override;
+  void settings(int, char **) override;
+  double equilibrium_distance(int) override;
+  void write_restart(FILE *) override;
+  void read_restart(FILE *) override;
+  void write_restart_settings(FILE *) override;
+  void read_restart_settings(FILE *) override;
+  int pack_reverse_comm(int, int, double *) override;
+  void unpack_reverse_comm(int, int *, double *) override;
+  double single(int, double, int, int, double &) override;
+
+ protected:
+  double *k, *ecrit, *gamma;
+  double tform, rmax, rsurf;
+
+  int *dbond, *nbond;
+  int index_nb, nmax_store;
+  char *id_fix;
+
+  class ComputeRHEOSurface *compute_surface;
+
+  void process_ineligibility(int, int);
+  void allocate();
+  void store_data();
+  double store_bond(int, int, int);
+};
+
+}    // namespace LAMMPS_NS
+
+#endif
+#endif

src/RHEO/compute_rheo_grad.cpp

@@ -0,0 +1,506 @@
+// clang-format off
+/* ----------------------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+   Contributing authors:
+   Joel Clemmer (SNL), Thomas O'Connor (CMU)
+----------------------------------------------------------------------- */
+
+#include "compute_rheo_grad.h"
+
+#include "atom.h"
+#include "comm.h"
+#include "compute_rheo_kernel.h"
+#include "compute_rheo_interface.h"
+#include "domain.h"
+#include "error.h"
+#include "fix_rheo.h"
+#include "force.h"
+#include "memory.h"
+#include "neighbor.h"
+#include "neigh_list.h"
+#include "update.h"
+
+#include <cmath>
+
+using namespace LAMMPS_NS;
+using namespace RHEO_NS;
+
+enum{COMMGRAD, COMMFIELD};
+
+/* ---------------------------------------------------------------------- */
+
+ComputeRHEOGrad::ComputeRHEOGrad(LAMMPS *lmp, int narg, char **arg) :
+  Compute(lmp, narg, arg), fix_rheo(nullptr), list(nullptr), rho0(nullptr), compute_interface(nullptr), compute_kernel(nullptr),
+  gradv(nullptr), gradr(nullptr), grade(nullptr), gradn(nullptr)
+{
+  if (narg < 4) error->all(FLERR,"Illegal compute rheo/grad command");
+
+  velocity_flag = energy_flag = rho_flag = eta_flag = 0;
+  for (int iarg = 3; iarg < narg; iarg++) {
+    if (strcmp(arg[iarg], "velocity") == 0) velocity_flag = 1;
+    else if (strcmp(arg[iarg], "rho") == 0) rho_flag = 1;
+    else if (strcmp(arg[iarg], "energy") == 0) energy_flag = 1;
+    else if (strcmp(arg[iarg], "viscosity") == 0) eta_flag = 1;
+    else error->all(FLERR, "Illegal compute rheo/grad command, {}", arg[iarg]);
+  }
+
+  ncomm_grad = 0;
+  ncomm_field = 0;
+  comm_reverse = 0;
+
+  int dim = domain->dimension;
+  if (velocity_flag) {
+    ncomm_grad += dim * dim;
+    ncomm_field += dim;
+    comm_reverse += dim * dim;
+  }
+
+  if (rho_flag) {
+    ncomm_grad += dim;
+    ncomm_field += 1;
+    comm_reverse += dim;
+  }
+
+  if (energy_flag) {
+    ncomm_grad += dim;
+    ncomm_field += 1;
+    comm_reverse += dim;
+  }
+
+  if (eta_flag) {
+    ncomm_grad += dim;
+    comm_reverse += dim;
+  }
+
+  comm_forward = ncomm_grad;
+
+  nmax_store = 0;
+  grow_arrays(atom->nmax);
+
+}
+
+/* ---------------------------------------------------------------------- */
+
+ComputeRHEOGrad::~ComputeRHEOGrad()
+{
+  memory->destroy(gradv);
+  memory->destroy(gradr);
+  memory->destroy(grade);
+  memory->destroy(gradn);
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOGrad::init()
+{
+  cut = fix_rheo->cut;
+  cutsq = cut * cut;
+  rho0 = fix_rheo->rho0;
+  interface_flag = fix_rheo->interface_flag;
+  compute_kernel = fix_rheo->compute_kernel;
+  compute_interface = fix_rheo->compute_interface;
+
+  remap_v_flag = domain->deform_vremap;
+
+  neighbor->add_request(this, NeighConst::REQ_DEFAULT);
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOGrad::init_list(int /*id*/, NeighList *ptr)
+{
+  list = ptr;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOGrad::compute_peratom()
+{
+  int i, j, k, ii, jj, jnum, itype, jtype, a, b, fluidi, fluidj;
+  double xtmp, ytmp, ztmp, delx, dely, delz;
+  double rsq, imass, jmass;
+  double rhoi, rhoj, Voli, Volj, drho, de, deta;
+  double vi[3], vj[3], vij[3];
+  double wp, *dWij, *dWji;
+
+  int inum, *ilist, *numneigh, **firstneigh;
+  int *jlist;
+  int nlocal = atom->nlocal;
+
+  double **x = atom->x;
+  double **v = atom->v;
+  double *rho = atom->rho;
+  double *energy = atom->esph;
+  double *viscosity = atom->viscosity;
+  int *status = atom->rheo_status;
+  int *type = atom->type;
+  double *mass = atom->mass;
+  int newton = force->newton;
+  int dim = domain->dimension;
+
+  inum = list->inum;
+  ilist = list->ilist;
+  numneigh = list->numneigh;
+  firstneigh = list->firstneigh;
+
+  // initialize arrays
+  if (atom->nmax > nmax_store) grow_arrays(atom->nmax);
+
+  for (i = 0; i < nmax_store; i++) {
+    if (velocity_flag) {
+      for (k = 0; k < dim * dim; k++)
+        gradv[i][k] = 0.0;
+    }
+    if (rho_flag) {
+      for (k = 0; k < dim; k++)
+        gradr[i][k] = 0.0;
+    }
+    if (energy_flag) {
+      for (k = 0; k < dim; k++)
+        grade[i][k] = 0.0;
+    }
+    if (eta_flag) {
+      for (k = 0; k < dim; k++)
+        gradn[i][k] = 0.0;
+    }
+  }
+
+  for (ii = 0; ii < inum; ii++) {
+    i = ilist[ii];
+    xtmp = x[i][0];
+    ytmp = x[i][1];
+    ztmp = x[i][2];
+    itype = type[i];
+    fluidi = !(status[i] & PHASECHECK);
+    jlist = firstneigh[i];
+    jnum = numneigh[i];
+
+    for (jj = 0; jj < jnum; jj++) {
+      j = jlist[jj];
+      j &= NEIGHMASK;
+
+      jtype = type[j];
+      delx = xtmp - x[j][0];
+      dely = ytmp - x[j][1];
+      delz = ztmp - x[j][2];
+      rsq = delx * delx + dely * dely + delz * delz;
+
+      if (rsq < cutsq) {
+        fluidj = !(status[j] & PHASECHECK);
+
+        rhoi = rho[i];
+        rhoj = rho[j];
+
+        vi[0] = v[i][0];
+        vi[1] = v[i][1];
+        vi[2] = v[i][2];
+
+        vj[0] = v[j][0];
+        vj[1] = v[j][1];
+        vj[2] = v[j][2];
+
+        // Add corrections for walls
+        if (interface_flag) {
+          if (fluidi && (!fluidj)) {
+            compute_interface->correct_v(vj, vi, j, i);
+            rhoj = compute_interface->correct_rho(j, i);
+          } else if ((!fluidi) && fluidj) {
+            compute_interface->correct_v(vi, vj, i, j);
+            rhoi = compute_interface->correct_rho(i, j);
+          } else if ((!fluidi) && (!fluidj)) {
+            rhoi = rho0[itype];
+            rhoj = rho0[jtype];
+          }
+        }
+
+        Voli = mass[itype] / rhoi;
+        Volj = mass[jtype] / rhoj;
+
+        vij[0] = vi[0] - vj[0];
+        vij[1] = vi[1] - vj[1];
+        vij[2] = vi[2] - vj[2];
+
+        if (rho_flag) drho = rhoi - rhoj;
+        if (energy_flag) de = energy[i] - energy[j];
+        if (eta_flag) deta = viscosity[i] - viscosity[j];
+
+        wp = compute_kernel->calc_dw(i, j, delx, dely, delz, sqrt(rsq));
+        dWij = compute_kernel->dWij;
+        dWji = compute_kernel->dWji;
+
+        for (a = 0; a < dim; a++) {
+          for (b = 0; b < dim; b++) {
+            if (velocity_flag) // uxx uxy uxz uyx uyy uyz uzx uzy uzz
+              gradv[i][a * dim + b] -= vij[a] * Volj * dWij[b];
+          }
+
+          if (rho_flag) // P,x  P,y  P,z
+            gradr[i][a] -= drho * Volj * dWij[a];
+
+          if (energy_flag) // e,x  e,y  e,z
+            grade[i][a] -= de * Volj * dWij[a];
+
+          if (eta_flag) // n,x  n,y  n,z
+            gradn[i][a] -= deta * Volj * dWij[a];
+        }
+
+        if (newton || j < nlocal) {
+          for (a = 0; a < dim; a++) {
+            for (b = 0; b < dim; b++) {
+              if (velocity_flag) // uxx uxy uxz uyx uyy uyz uzx uzy uzz
+                gradv[j][a * dim + b] += vij[a] * Voli * dWji[b];
+            }
+
+            if (rho_flag) // P,x  P,y  P,z
+              gradr[j][a] += drho * Voli * dWji[a];
+
+            if (energy_flag) // e,x  e,y  e,z
+              grade[j][a] += de * Voli * dWji[a];
+
+            if (eta_flag) // n,x  n,y  n,z
+              gradn[j][a] += deta * Voli * dWji[a];
+          }
+        }
+      }
+    }
+  }
+
+  if (newton) comm->reverse_comm(this);
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOGrad::forward_gradients()
+{
+  comm_stage = COMMGRAD;
+  comm_forward = ncomm_grad;
+  comm->forward_comm(this);
+}
+
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOGrad::forward_fields()
+{
+  comm_stage = COMMFIELD;
+  comm_forward = ncomm_field;
+  comm->forward_comm(this);
+}
+
+/* ---------------------------------------------------------------------- */
+
+int ComputeRHEOGrad::pack_forward_comm(int n, int *list, double *buf,
+                                        int pbc_flag, int *pbc)
+{
+  int i,j,k,m;
+  int *mask = atom->mask;
+  double *rho = atom->rho;
+  double *energy = atom->esph;
+  double **v = atom->v;
+  int dim = domain->dimension;
+  double *h_rate = domain->h_rate;
+  int deform_groupbit = domain->deform_groupbit;
+  double dv[3];
+
+  if (remap_v_flag) {
+    dv[0] = pbc[0] * h_rate[0] + pbc[5] * h_rate[5] + pbc[4] * h_rate[4];
+    dv[1] = pbc[1] * h_rate[1] + pbc[3] * h_rate[3];
+    dv[2] = pbc[2] * h_rate[2];
+  }
+
+  m = 0;
+
+  for (i = 0; i < n; i++) {
+    j = list[i];
+    if (comm_stage == COMMGRAD) {
+
+      if (velocity_flag)
+        for (k = 0; k < dim * dim; k++)
+          buf[m++] = gradv[j][k];
+
+      if (rho_flag)
+        for (k = 0; k < dim; k++)
+          buf[m++] = gradr[j][k];
+
+      if (energy_flag)
+        for (k = 0; k < dim; k++)
+          buf[m++] = grade[j][k];
+
+      if (eta_flag)
+        for (k = 0; k < dim; k++)
+          buf[m++] = gradn[j][k];
+
+    } else if (comm_stage == COMMFIELD) {
+
+      if (velocity_flag) {
+        if (remap_v_flag && pbc_flag && (mask[j] & deform_groupbit)) {
+          for (k = 0; k < dim; k++)
+            buf[m++] = v[j][k] + dv[k];
+        } else {
+          for (k = 0; k < dim; k++)
+            buf[m++] = v[j][k];
+        }
+      }
+
+      if (rho_flag)
+        buf[m++] = rho[j];
+
+      if (energy_flag)
+        buf[m++] = energy[j];
+    }
+  }
+  return m;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOGrad::unpack_forward_comm(int n, int first, double *buf)
+{
+  int i, k, m, last;
+  double *rho = atom->rho;
+  double *energy = atom->esph;  double **v = atom->v;
+  int dim = domain->dimension;
+
+  m = 0;
+  last = first + n;
+  for (i = first; i < last; i++) {
+    if (comm_stage == COMMGRAD) {
+      if (velocity_flag)
+        for (k = 0; k < dim * dim; k++)
+          gradv[i][k] = buf[m++];
+
+      if (rho_flag)
+        for (k = 0; k < dim; k++)
+          gradr[i][k] = buf[m++];
+
+      if (energy_flag)
+        for (k = 0; k < dim; k++)
+          grade[i][k] = buf[m++];
+
+      if (eta_flag)
+        for (k = 0; k < dim; k++)
+          gradn[i][k] = buf[m++];
+
+    } else if (comm_stage == COMMFIELD) {
+      if (velocity_flag)
+        for (k = 0; k < dim; k++)
+          v[i][k] = buf[m++];
+
+      if (rho_flag)
+        rho[i] = buf[m++];
+
+      if (energy_flag)
+        energy[i] = buf[m++];
+    }
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+int ComputeRHEOGrad::pack_reverse_comm(int n, int first, double *buf)
+{
+  int i,k,m,last;
+  int dim = domain->dimension;
+
+  m = 0;
+  last = first + n;
+  for (i = first; i < last; i++) {
+    if (velocity_flag)
+      for (k = 0; k < dim * dim; k++)
+        buf[m++] = gradv[i][k];
+
+    if (rho_flag)
+      for (k = 0; k < dim; k++)
+        buf[m++] = gradr[i][k];
+
+    if (energy_flag)
+      for (k = 0; k < dim; k++)
+        buf[m++] = grade[i][k];
+
+    if (eta_flag)
+      for (k = 0; k < dim; k++)
+        buf[m++] = gradn[i][k];
+  }
+  return m;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOGrad::unpack_reverse_comm(int n, int *list, double *buf)
+{
+  int i,k,j,m;
+  int dim = domain->dimension;
+
+  m = 0;
+  for (i = 0; i < n; i++) {
+    j = list[i];
+    if (velocity_flag)
+      for (k = 0; k < dim * dim; k++)
+        gradv[j][k] += buf[m++];
+
+    if (rho_flag)
+      for (k = 0; k < dim; k++)
+        gradr[j][k] += buf[m++];
+
+    if (energy_flag)
+      for (k = 0; k < dim; k++)
+        grade[j][k] += buf[m++];
+
+    if (eta_flag)
+      for (k = 0; k < dim; k++)
+        gradn[j][k] += buf[m++];
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOGrad::grow_arrays(int nmax)
+{
+  int dim = domain->dimension;
+  if (velocity_flag)
+    memory->grow(gradv, nmax, dim * dim, "rheo:grad_v");
+
+  if (rho_flag)
+    memory->grow(gradr, nmax, dim, "rheo:grad_rho");
+
+  if (energy_flag)
+    memory->grow(grade, nmax, dim, "rheo:grad_energy");
+
+  if (eta_flag)
+    memory->grow(gradn, nmax, dim, "rheo:grad_eta");
+  nmax_store = nmax;
+}
+
+/* ---------------------------------------------------------------------- */
+
+double ComputeRHEOGrad::memory_usage()
+{
+  double bytes = 0.0;
+  int dim = domain->dimension;
+
+  if (velocity_flag)
+    bytes = (size_t) nmax_store * dim * dim * sizeof(double);
+
+  if (rho_flag)
+    bytes = (size_t) nmax_store * dim * sizeof(double);
+
+  if (energy_flag)
+    bytes = (size_t) nmax_store * dim * sizeof(double);
+
+  if (eta_flag)
+    bytes = (size_t) nmax_store * dim * sizeof(double);
+
+  return bytes;
+}

src/RHEO/compute_rheo_grad.h

@@ -0,0 +1,64 @@
+/* -*- c++ -*- ----------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+#ifdef COMPUTE_CLASS
+// clang-format off
+ComputeStyle(RHEO/GRAD,ComputeRHEOGrad)
+// clang-format on
+#else
+
+#ifndef LMP_COMPUTE_RHEO_GRAD_H
+#define LMP_COMPUTE_RHEO_GRAD_H
+
+#include "compute.h"
+
+namespace LAMMPS_NS {
+
+class ComputeRHEOGrad : public Compute {
+ public:
+  ComputeRHEOGrad(class LAMMPS *, int, char **);
+  ~ComputeRHEOGrad() override;
+  void init() override;
+  void init_list(int, class NeighList *) override;
+  void compute_peratom() override;
+  int pack_forward_comm(int, int *, double *, int, int *) override;
+  void unpack_forward_comm(int, int, double *) override;
+  int pack_reverse_comm(int, int, double *) override;
+  void unpack_reverse_comm(int, int *, double *) override;
+  double memory_usage() override;
+  void forward_gradients();
+  void forward_fields();
+  double **gradv;
+  double **gradr;
+  double **grade;
+  double **gradn;
+  class FixRHEO *fix_rheo;
+
+ private:
+  int comm_stage, ncomm_grad, ncomm_field, nmax_store;
+  double cut, cutsq, *rho0;
+
+  int velocity_flag, energy_flag, rho_flag, eta_flag;
+  int interface_flag, remap_v_flag;
+
+  class ComputeRHEOKernel *compute_kernel;
+  class ComputeRHEOInterface *compute_interface;
+  class NeighList *list;
+
+  void grow_arrays(int);
+};
+
+}    // namespace LAMMPS_NS
+
+#endif
+#endif

src/RHEO/compute_rheo_interface.cpp

@@ -0,0 +1,384 @@
+// clang-format off
+/* ----------------------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+   Contributing authors:
+   Joel Clemmer (SNL), Thomas O'Connor (CMU), Eric Palermo (CMU)
+----------------------------------------------------------------------- */
+
+#include "compute_rheo_interface.h"
+
+#include "atom.h"
+#include "comm.h"
+#include "domain.h"
+#include "compute_rheo_kernel.h"
+#include "error.h"
+#include "force.h"
+#include "fix_rheo.h"
+#include "fix_rheo_pressure.h"
+#include "math_extra.h"
+#include "memory.h"
+#include "modify.h"
+#include "neighbor.h"
+#include "neigh_list.h"
+#include "neigh_request.h"
+
+#include <cmath>
+
+using namespace LAMMPS_NS;
+using namespace RHEO_NS;
+using namespace MathExtra;
+
+static constexpr double EPSILON = 1e-1;
+
+/* ---------------------------------------------------------------------- */
+
+ComputeRHEOInterface::ComputeRHEOInterface(LAMMPS *lmp, int narg, char **arg) :
+  Compute(lmp, narg, arg), fix_rheo(nullptr), compute_kernel(nullptr), fp_store(nullptr),
+  rho0(nullptr), norm(nullptr), normwf(nullptr), chi(nullptr), id_fix_pa(nullptr)
+{
+  if (narg != 3) error->all(FLERR,"Illegal compute rheo/interface command");
+
+  comm_forward = 3;
+  comm_reverse = 4;
+
+  nmax_store = atom->nmax;
+  memory->create(chi, nmax_store, "rheo:chi");
+  memory->create(norm, nmax_store, "rheo/interface:norm");
+  memory->create(normwf, nmax_store, "rheo/interface:normwf");
+
+  // For fp_store, create an instance of fix property atom
+  // Need restarts + exchanging with neighbors since it needs to persist
+  // between timesteps (fix property atom will handle callbacks)
+
+  int tmp1, tmp2;
+  int index = atom->find_custom("fp_store", tmp1, tmp2);
+  if (index == -1) {
+    id_fix_pa = utils::strdup(id + std::string("_fix_property_atom"));
+    modify->add_fix(fmt::format("{} all property/atom d2_fp_store 3", id_fix_pa));
+    index = atom->find_custom("fp_store", tmp1, tmp2);
+  }
+  fp_store = atom->darray[index];
+}
+
+/* ---------------------------------------------------------------------- */
+
+ComputeRHEOInterface::~ComputeRHEOInterface()
+{
+  if (id_fix_pa && modify->nfix) modify->delete_fix(id_fix_pa);
+  delete[] id_fix_pa;
+  memory->destroy(chi);
+  memory->destroy(norm);
+  memory->destroy(normwf);
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOInterface::init()
+{
+  compute_kernel = fix_rheo->compute_kernel;
+  rho0 = fix_rheo->rho0;
+  cut = fix_rheo->cut;
+  cutsq = cut * cut;
+  wall_max = sqrt(3.0) / 12.0 * cut;
+
+  auto fixes = modify->get_fix_by_style("rheo/pressure");
+  fix_pressure = dynamic_cast<FixRHEOPressure *>(fixes[0]);
+
+  neighbor->add_request(this, NeighConst::REQ_DEFAULT);
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOInterface::init_list(int /*id*/, NeighList *ptr)
+{
+  list = ptr;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOInterface::compute_peratom()
+{
+  int a, i, j, ii, jj, jnum, itype, jtype, fluidi, fluidj, status_match;
+  double xtmp, ytmp, ztmp, rsq, w, dot, dx[3];
+
+  int inum, *ilist, *jlist, *numneigh, **firstneigh;
+  int nlocal = atom->nlocal;
+  int nall = nlocal + atom->nghost;
+
+  double **x = atom->x;
+  int *type = atom->type;
+  int newton = force->newton;
+  int *status = atom->rheo_status;
+  double *rho = atom->rho;
+
+  inum = list->inum;
+  ilist = list->ilist;
+  numneigh = list->numneigh;
+  firstneigh = list->firstneigh;
+
+  if (atom->nmax > nmax_store) {
+    nmax_store = atom->nmax;
+    memory->grow(norm, nmax_store, "rheo/interface:norm");
+    memory->grow(normwf, nmax_store, "rheo/interface:normwf");
+    memory->grow(chi, nmax_store, "rheo:chi");
+  }
+
+  for (i = 0; i < nall; i++) {
+    if (status[i] & PHASECHECK) rho[i] = 0.0;
+    normwf[i] = 0.0;
+    norm[i] = 0.0;
+    chi[i] = 0.0;
+  }
+
+  for (ii = 0; ii < inum; ii++) {
+    i = ilist[ii];
+    xtmp = x[i][0];
+    ytmp = x[i][1];
+    ztmp = x[i][2];
+    itype = type[i];
+    fluidi = !(status[i] & PHASECHECK);
+    jlist = firstneigh[i];
+    jnum = numneigh[i];
+
+    for (jj = 0; jj < jnum; jj++) {
+      j = jlist[jj];
+      j &= NEIGHMASK;
+
+      dx[0] = xtmp - x[j][0];
+      dx[1] = ytmp - x[j][1];
+      dx[2] = ztmp - x[j][2];
+      rsq = lensq3(dx);
+
+      if (rsq < cutsq) {
+        jtype = type[j];
+        fluidj = !(status[j] & PHASECHECK);
+        w = compute_kernel->calc_w_quintic(i, j, dx[0], dx[1], dx[2], sqrt(rsq));
+
+        norm[i] += w;
+
+        status_match = 0;
+        if ((fluidi && fluidj) || ((!fluidi) && (!fluidj)))
+          status_match = 1;
+        if (status_match) {
+          chi[i] += w;
+        } else {
+          if (!fluidi) {
+            dot = 0;
+            for (a = 0; a < 3; a++)
+              dot += (-fp_store[j][a] + fp_store[i][a]) * dx[a];
+
+            rho[i] += w * (fix_pressure->calc_pressure(rho[j], jtype) - rho[j] * dot);
+            normwf[i] += w;
+          }
+        }
+
+        if (newton || j < nlocal) {
+          norm[j] += w;
+          if (status_match) {
+            chi[j] += w;
+          } else {
+            if (!fluidj) {
+              dot = 0;
+              for (a = 0; a < 3; a++)
+                dot += (-fp_store[i][a] + fp_store[j][a]) * dx[a];
+
+              rho[j] += w * (fix_pressure->calc_pressure(rho[i], itype) + rho[i] * dot);
+              normwf[j] += w;
+            }
+          }
+        }
+      }
+    }
+  }
+
+  if (newton) comm->reverse_comm(this);
+
+  for (i = 0; i < nlocal; i++) {
+    if (norm[i] != 0.0) chi[i] /= norm[i];
+
+    // Recalculate rho for non-fluid particles
+    if (status[i] & PHASECHECK) {
+      if (normwf[i] != 0.0) {
+        // Stores rho for solid particles 1+Pw in Adami Adams 2012
+        rho[i] = MAX(EPSILON, fix_pressure->calc_rho(rho[i] / normwf[i], type[i]));
+      } else {
+        rho[i] = rho0[itype];
+      }
+    }
+  }
+
+  comm_stage = 1;
+  comm_forward = 2;
+  comm->forward_comm(this);
+}
+
+/* ---------------------------------------------------------------------- */
+
+int ComputeRHEOInterface::pack_forward_comm(int n, int *list, double *buf, int /*pbc_flag*/, int * /*pbc*/)
+{
+  int i, j, k, m;
+  m = 0;
+  double *rho = atom->rho;
+
+  for (i = 0; i < n; i++) {
+    j = list[i];
+    if (comm_stage == 0) {
+      buf[m++] = fp_store[j][0];
+      buf[m++] = fp_store[j][1];
+      buf[m++] = fp_store[j][2];
+    } else {
+      buf[m++] = chi[j];
+      buf[m++] = rho[j];
+    }
+  }
+  return m;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOInterface::unpack_forward_comm(int n, int first, double *buf)
+{
+  int i, k, m, last;
+  double *rho = atom->rho;
+  m = 0;
+  last = first + n;
+  for (i = first; i < last; i++) {
+    if (comm_stage == 0) {
+      fp_store[i][0] = buf[m++];
+      fp_store[i][1] = buf[m++];
+      fp_store[i][2] = buf[m++];
+    } else {
+      chi[i] = buf[m++];
+      rho[i] = buf[m++];
+    }
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+int ComputeRHEOInterface::pack_reverse_comm(int n, int first, double *buf)
+{
+  int i, k, m, last;
+  double *rho = atom->rho;
+
+  m = 0;
+  last = first + n;
+  for (i = first; i < last; i++) {
+    buf[m++] = norm[i];
+    buf[m++] = chi[i];
+    buf[m++] = normwf[i];
+    buf[m++] = rho[i];
+  }
+  return m;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOInterface::unpack_reverse_comm(int n, int *list, double *buf)
+{
+  int i, k, j, m;
+  double *rho = atom->rho;
+  int *status = atom->rheo_status;
+  m = 0;
+  for (i = 0; i < n; i++) {
+    j = list[i];
+    norm[j] += buf[m++];
+    chi[j] += buf[m++];
+    if (status[j] & PHASECHECK){
+      normwf[j] += buf[m++];
+      rho[j] += buf[m++];
+    } else {
+      m++;
+      m++;
+    }
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOInterface::correct_v(double *v_solid, double *v_fluid, int i_solid, int i_fluid)
+{
+  double wall_prefactor, wall_denom, wall_numer;
+
+  wall_numer = MAX(2.0 * cut * (chi[i_solid] - 0.5), 0.0);
+  wall_denom = MAX(2.0 * cut * (chi[i_fluid] - 0.5), wall_max);
+
+  wall_prefactor = wall_numer / wall_denom;
+
+  v_solid[0] = (v_solid[0] - v_fluid[0]) * wall_prefactor;
+  v_solid[1] = (v_solid[1] - v_fluid[1]) * wall_prefactor;
+  v_solid[2] = (v_solid[2] - v_fluid[2]) * wall_prefactor;
+}
+
+/* ---------------------------------------------------------------------- */
+
+double ComputeRHEOInterface::correct_rho(int i_solid, int i_fluid)
+{
+  int itype = atom->type[i_solid];
+  return MAX(rho0[itype], atom->rho[i_solid]);
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOInterface::store_forces()
+{
+  double minv;
+  int *type = atom->type;
+  int *mask = atom->mask;
+  double *mass = atom->mass;
+  double **f = atom->f;
+
+  // When this is called, fp_store stores the pressure force
+  // After this method, fp_store instead stores non-pressure forces
+  // and is also normalized by the particles mass
+  // If forces are overwritten by a fix, there are no pressure forces
+  // so just normalize
+  auto fixlist = modify->get_fix_by_style("setforce");
+  if (fixlist.size() != 0) {
+    for (const auto &fix : fixlist) {
+      for (int i = 0; i < atom->nlocal; i++) {
+        minv = 1.0 / mass[type[i]];
+        if (mask[i] & fix->groupbit)
+          for (int a = 0; a < 3; a++)
+            fp_store[i][a] = f[i][a] * minv;
+        else
+          for (int a = 0; a < 3; a++)
+            fp_store[i][a] = (f[i][a] - fp_store[i][a]) * minv;
+      }
+    }
+  } else {
+    for (int i = 0; i < atom->nlocal; i++) {
+      minv = 1.0 / mass[type[i]];
+      for (int a = 0; a < 3; a++)
+        fp_store[i][a] = (f[i][a] - fp_store[i][a]) * minv;
+    }
+  }
+
+  // Forward comm forces
+  comm_forward = 3;
+  comm_stage = 0;
+  comm->forward_comm(this);
+}
+
+/* ----------------------------------------------------------------------
+   memory usage of local atom-based array
+------------------------------------------------------------------------- */
+
+double ComputeRHEOInterface::memory_usage()
+{
+  double bytes = 3 * nmax_store * sizeof(double);
+  return bytes;
+}
+

src/RHEO/compute_rheo_interface.h

@@ -0,0 +1,61 @@
+/* -*- c++ -*- ----------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+#ifdef COMPUTE_CLASS
+// clang-format off
+ComputeStyle(RHEO/INTERFACE,ComputeRHEOInterface)
+// clang-format on
+#else
+
+#ifndef LMP_COMPUTE_RHEO_INTERFACE_H
+#define LMP_COMPUTE_RHEO_INTERFACE_H
+
+#include "compute.h"
+
+namespace LAMMPS_NS {
+
+class ComputeRHEOInterface : public Compute {
+ public:
+  ComputeRHEOInterface(class LAMMPS *, int, char **);
+  ~ComputeRHEOInterface() override;
+  void init() override;
+  void init_list(int, class NeighList *) override;
+  void compute_peratom() override;
+  int pack_forward_comm(int, int *, double *, int, int *) override;
+  void unpack_forward_comm(int, int, double *) override;
+  int pack_reverse_comm(int, int, double *) override;
+  void unpack_reverse_comm(int, int *, double *) override;
+  double memory_usage() override;
+  void correct_v(double *, double *, int, int);
+  double correct_rho(int, int);
+  void store_forces();
+
+  double *chi, **fp_store;
+  class FixRHEO *fix_rheo;
+
+ private:
+  int nmax_store, comm_stage;
+  double *rho0, cut, cutsq, wall_max;
+  double *norm, *normwf;
+
+  char *id_fix_pa;
+
+  class NeighList *list;
+  class ComputeRHEOKernel *compute_kernel;
+  class FixRHEOPressure *fix_pressure;
+};
+
+}    // namespace LAMMPS_NS
+
+#endif
+#endif

src/RHEO/compute_rheo_kernel.cpp

@@ -0,0 +1,913 @@
+// clang-format off
+/* ----------------------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+   Contributing authors:
+   Joel Clemmer (SNL), Thomas O'Connor (CMU)
+----------------------------------------------------------------------- */
+
+#include "compute_rheo_kernel.h"
+
+#include "atom.h"
+#include "comm.h"
+#include "compute_rheo_interface.h"
+#include "domain.h"
+#include "error.h"
+#include "fix_rheo.h"
+#include "force.h"
+#include "math_const.h"
+#include "math_extra.h"
+#include "memory.h"
+#include "modify.h"
+#include "neighbor.h"
+#include "neigh_list.h"
+#include "neigh_request.h"
+#include "pair.h"
+#include "update.h"
+#include "utils.h"
+
+#include <cmath>
+#include <gsl/gsl_linalg.h>
+#include <gsl/gsl_matrix.h>
+#include <gsl/gsl_errno.h>
+#include <gsl/gsl_cblas.h>
+
+using namespace LAMMPS_NS;
+using namespace RHEO_NS;
+using namespace MathConst;
+using namespace MathExtra;
+
+static constexpr int DELTA = 2000;
+
+/* ---------------------------------------------------------------------- */
+
+ComputeRHEOKernel::ComputeRHEOKernel(LAMMPS *lmp, int narg, char **arg) :
+  Compute(lmp, narg, arg),
+  list(nullptr), C(nullptr), C0(nullptr), coordination(nullptr), compute_interface(nullptr)
+{
+  if (narg != 4) error->all(FLERR,"Illegal compute rheo/kernel command");
+
+  kernel_style = utils::inumeric(FLERR, arg[3], false, lmp);
+
+  if (kernel_style == QUINTIC || kernel_style == WENDLANDC4) {
+    correction_order = -1;
+  } else if (kernel_style == RK0) {
+    correction_order = 0;
+  } else if (kernel_style == RK1) {
+    correction_order = 1;
+  } else if (kernel_style == RK2) {
+    correction_order = 2;
+  }
+
+  dim = domain->dimension;
+
+  comm_forward = 1;
+  ncor = 0;
+  Mdim = 0;
+  if (kernel_style == RK1) {
+    Mdim = 1 + dim;
+    ncor = 1 + dim;
+    comm_forward = ncor * Mdim;
+  } else if (kernel_style == RK2) {
+    //Polynomial basis size (up to quadratic order)
+    Mdim = 1 + dim + dim * (dim + 1) / 2;
+    //Number of sets of correction coefficients  (1 x y xx yy)  + z zz (3D)
+    ncor = 1 + 2 * dim;
+    comm_forward = ncor * Mdim;
+  }
+
+  comm_forward_save = comm_forward;
+  corrections_calculated = 0;
+  gsl_error_flag = 0;
+}
+
+/* ---------------------------------------------------------------------- */
+
+ComputeRHEOKernel::~ComputeRHEOKernel()
+{
+  memory->destroy(coordination);
+  memory->destroy(C);
+  memory->destroy(C0);
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOKernel::init()
+{
+  neighbor->add_request(this, NeighConst::REQ_FULL);
+
+  interface_flag = fix_rheo->interface_flag;
+  compute_interface = fix_rheo->compute_interface;
+
+  zmin = fix_rheo->zmin_kernel;
+  cut = fix_rheo->cut;
+  cutsq = cut * cut;
+  cutinv = 1.0 / cut;
+  cutsqinv = cutinv * cutinv;
+
+
+  if (kernel_style != WENDLANDC4) {
+    if (dim == 3) {
+      pre_w = 1.0 / (120.0 * MY_PI) * 27.0 * cutsqinv * cutinv;
+      pre_wp = pre_w * 3.0 * cutinv;
+    } else {
+      pre_w = 7.0 / (478.0 * MY_PI)  * 9 * cutsqinv;
+      pre_wp = pre_w * 3.0 * cutinv;
+    }
+  } else {
+    if (dim == 3) {
+      pre_w = 495.0 / (32.0 * MY_PI * cutsq * cut);
+      pre_wp = pre_w * cutinv;
+    } else {
+      pre_w = 9.0 / (MY_PI * cutsq);
+      pre_wp = pre_w * cutinv;
+    }
+  }
+
+  nmax_store = atom->nmax;
+  memory->create(coordination, nmax_store, "rheo:coordination");
+  if (kernel_style == RK0) {
+    memory->create(C0, nmax_store, "rheo/kernel:C0");
+  } else if (kernel_style == RK1) {
+    memory->create(C, nmax_store, ncor, Mdim, "rheo/kernel:C");
+  } else if (kernel_style == RK2) {
+    memory->create(C, nmax_store, ncor, Mdim, "rheo/kernel:C");
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOKernel::init_list(int /*id*/, NeighList *ptr)
+{
+  list = ptr;
+}
+
+/* ---------------------------------------------------------------------- */
+
+int ComputeRHEOKernel::check_corrections(int i)
+{
+  // Skip if there were gsl errors for this atom
+  if (gsl_error_flag)
+    if (gsl_error_tags.find(atom->tag[i]) != gsl_error_tags.end())
+      return 0;
+
+  // Skip if undercoordinated
+  if (coordination[i] < zmin)
+    return 0;
+
+  // Skip if corrections not yet calculated
+  if (!corrections_calculated)
+    return 0;
+
+  return 1;
+}
+
+/* ---------------------------------------------------------------------- */
+
+double ComputeRHEOKernel::calc_w_self(int i, int j)
+{
+  double w;
+  if (kernel_style == WENDLANDC4)
+    w = calc_w_wendlandc4(i, j, 0.0, 0.0, 0.0, 0.0);
+  else
+    w = calc_w_quintic(i, j, 0.0, 0.0, 0.0, 0.0);
+
+  return w;
+}
+
+/* ---------------------------------------------------------------------- */
+
+double ComputeRHEOKernel::calc_w(int i, int j, double delx, double dely, double delz, double r)
+{
+  double w;
+  int corrections_i, corrections_j, corrections;
+
+  if (kernel_style == WENDLANDC4)
+    return calc_w_wendlandc4(i, j, delx, dely, delz, r);
+
+  if (kernel_style != QUINTIC) {
+    corrections_i = check_corrections(i);
+    corrections_j = check_corrections(j);
+    corrections = corrections_i & corrections_j;
+  } else {
+    corrections = 0;
+  }
+
+  if (!corrections) w = calc_w_quintic(i, j, delx, dely, delz, r);
+  else if (kernel_style == RK0) w = calc_w_rk0(i, j, delx, dely, delz, r);
+  else if (kernel_style == RK1) w = calc_w_rk1(i, j, delx, dely, delz, r);
+  else if (kernel_style == RK2) w = calc_w_rk2(i, j, delx, dely, delz, r);
+
+  return w;
+}
+
+/* ---------------------------------------------------------------------- */
+
+double ComputeRHEOKernel::calc_dw(int i, int j, double delx, double dely, double delz, double r)
+{
+  double wp;
+  int corrections_i, corrections_j;
+
+  if (kernel_style == WENDLANDC4)
+    return calc_dw_wendlandc4(i, j, delx, dely, delz, r, dWij, dWji);
+
+  if (kernel_style != QUINTIC) {
+    corrections_i = check_corrections(i);
+    corrections_j = check_corrections(j);
+  }
+
+  // Calc wp and default dW's, a bit inefficient but can redo later
+  wp = calc_dw_quintic(i, j, delx, dely, delz, r, dWij, dWji);
+
+  // Overwrite if there are corrections
+  if (kernel_style == RK1) {
+    if (corrections_i) calc_dw_rk1(i, j, delx, dely, delz, r, dWij);
+    if (corrections_j) calc_dw_rk1(j, i, -delx, -dely, -delz, r, dWji);
+  } else if (kernel_style == RK2) {
+    if (corrections_i) calc_dw_rk2(i, j, delx, dely, delz, r, dWij);
+    if (corrections_j) calc_dw_rk2(j, i, -delx, -dely, -delz, r, dWji);
+  }
+
+  return wp;
+}
+
+/* ---------------------------------------------------------------------- */
+
+double ComputeRHEOKernel::calc_w_quintic(int i, int j, double delx, double dely, double delz, double r)
+{
+  double w, tmp1, tmp2, tmp3, tmp1sq, tmp2sq, tmp3sq, s;
+  s = r * 3.0 * cutinv;
+
+        if (s > 3.0) {
+          w = 0.0;
+        }
+
+        if (s <= 3.0) {
+          tmp3 = 3.0 - s;
+          tmp3sq = tmp3 * tmp3;
+          w = tmp3sq * tmp3sq * tmp3;
+        }
+        if (s <= 2.0) {
+      tmp2 = 2.0 - s;
+      tmp2sq = tmp2 * tmp2;
+      w -= 6.0 * tmp2sq * tmp2sq * tmp2;
+        }
+        if (s <= 1.0) {
+          tmp1 = 1.0 - s;
+          tmp1sq = tmp1 * tmp1;
+          w += 15.0 * tmp1sq * tmp1sq * tmp1;
+        }
+
+  w *= pre_w;
+
+  Wij = w;
+  Wji = w;
+
+  return w;
+}
+
+/* ---------------------------------------------------------------------- */
+
+double ComputeRHEOKernel::calc_dw_quintic(int i, int j, double delx, double dely, double delz, double r, double *dW1, double *dW2)
+{
+  double wp, tmp1, tmp2, tmp3, tmp1sq, tmp2sq, tmp3sq, s, wprinv;
+  double *mass = atom->mass;
+  int *type = atom->type;
+
+  s = r * 3.0 * cutinv;
+
+  if (s > 3.0) {
+    wp = 0.0;
+  }
+  if (s <= 3.0) {
+    tmp3 = 3.0 - s;
+    tmp3sq = tmp3 * tmp3;
+    wp = -5.0 * tmp3sq * tmp3sq;
+  }
+  if (s <= 2.0) {
+    tmp2 = 2.0 - s;
+    tmp2sq = tmp2 * tmp2;
+    wp += 30.0 * tmp2sq * tmp2sq;
+  }
+  if (s <= 1.0) {
+    tmp1 = 1.0 - s;
+    tmp1sq = tmp1 * tmp1;
+    wp -= 75.0 * tmp1sq * tmp1sq;
+  }
+
+  wp *= pre_wp;
+  wprinv = wp / r;
+  dW1[0] = delx * wprinv;
+  dW1[1] = dely * wprinv;
+  dW1[2] = delz * wprinv;
+
+  dW2[0] = -delx * wprinv;
+  dW2[1] = -dely * wprinv;
+  dW2[2] = -delz * wprinv;
+
+  return wp;
+}
+
+/* ---------------------------------------------------------------------- */
+
+double ComputeRHEOKernel::calc_w_wendlandc4(int i, int j, double delx, double dely, double delz, double r)
+{
+  double w, tmp6, s;
+  s = r * cutinv;
+
+        if (s > 1.0) {
+          w = 0.0;
+        } else {
+    tmp6 = (1.0 - s) * (1.0 - s);
+    tmp6 *= tmp6 * tmp6;
+    w = tmp6 * (1.0 + 6.0 * s + 35.0 * THIRD * s * s);
+  }
+
+  w *= pre_w;
+
+  Wij = w;
+  Wji = w;
+
+  return w;
+}
+
+/* ---------------------------------------------------------------------- */
+
+double ComputeRHEOKernel::calc_dw_wendlandc4(int i, int j, double delx, double dely, double delz, double r, double *dW1, double *dW2)
+{
+  double wp, tmp1, tmp5, tmp6, s, wprinv;
+  double *mass = atom->mass;
+  int *type = atom->type;
+
+  s = r * cutinv;
+
+        if (s > 1.0) {
+          wp = 0.0;
+        } else {
+    tmp1 = 1.0 - s;
+    tmp5 = tmp1 * tmp1;
+    tmp5 = tmp5 * tmp5 * tmp1;
+    tmp6 = tmp5 * tmp1;
+    wp = tmp6 * (6.0 + 70.0 * THIRD * s);
+    wp -= 6 * tmp5 * (1.0 + 6.0 * s + 35.0 * THIRD * s * s);
+  }
+
+  wp *= pre_wp;
+  wprinv = wp / r;
+  dW1[0] = delx * wprinv;
+  dW1[1] = dely * wprinv;
+  dW1[2] = delz * wprinv;
+
+  dW2[0] = -delx * wprinv;
+  dW2[1] = -dely * wprinv;
+  dW2[2] = -delz * wprinv;
+
+  return wp;
+}
+
+/* ---------------------------------------------------------------------- */
+
+double ComputeRHEOKernel::calc_w_rk0(int i, int j, double delx, double dely, double delz, double r)
+{
+  double w;
+
+  w = calc_w_quintic(i, j, delx, dely, delz, r);
+
+  Wij = C0[i] * w;
+  Wji = C0[j] * w;
+
+  return w;
+}
+
+/* ---------------------------------------------------------------------- */
+
+double ComputeRHEOKernel::calc_w_rk1(int i, int j, double delx, double dely, double delz, double r)
+{
+  int b;
+  double w, wR, dx[3], H[Mdim];
+
+  dx[0] = delx;
+  dx[1] = dely;
+  dx[2] = delz;
+  w = calc_w_quintic(i, j, delx, dely, delz, r);
+
+  if (dim == 2) {
+    H[0] = 1.0;
+    H[1] = dx[0] * cutinv;
+    H[2] = dx[1] * cutinv;
+  } else {
+    H[0] = 1.0;
+    H[1] = dx[0] * cutinv;
+    H[2] = dx[1] * cutinv;
+    H[3] = dx[2] * cutinv;
+  }
+  Wij = 0;
+  for (b = 0; b < Mdim; b++) {
+    Wij += C[i][0][b] * H[b];  // C columns: 1 x y (z) xx yy (zz)
+  }
+  Wij *= w;
+
+  //Now compute Wji
+  H[1] *= -1;
+  H[2] *= -1;
+  if (dim == 3) H[3] *= -1;
+
+  Wji = 0;
+  for (b = 0; b < Mdim; b++) {
+    Wji += C[j][0][b] * H[b];  // C columns: 1 x y (z) xx yy (zz)
+  }
+  Wji *= w;
+
+  return w;
+}
+
+/* ---------------------------------------------------------------------- */
+
+double ComputeRHEOKernel::calc_w_rk2(int i, int j, double delx, double dely, double delz, double r)
+{
+  int b;
+  double w, wR, dx[3], H[Mdim];
+  dx[0] = delx;
+  dx[1] = dely;
+  dx[2] = delz;
+  w = calc_w_quintic(i, j, delx, dely, delz, r);
+
+  if (dim == 2) {
+    H[0] = 1.0;
+    H[1] = dx[0] * cutinv;
+    H[2] = dx[1] * cutinv;
+    H[3] = 0.5 * dx[0] * dx[0] * cutsqinv;
+    H[4] = 0.5 * dx[1] * dx[1] * cutsqinv;
+    H[5] = dx[0] * dx[1] * cutsqinv;
+  } else {
+    H[0] = 1.0;
+    H[1] = dx[0] * cutinv;
+    H[2] = dx[1] * cutinv;
+    H[3] = dx[2] * cutinv;
+    H[4] = 0.5 * dx[0] * dx[0] * cutsqinv;
+    H[5] = 0.5 * dx[1] * dx[1] * cutsqinv;
+    H[6] = 0.5 * dx[2] * dx[2] * cutsqinv;
+    H[7] = dx[0] * dx[1] * cutsqinv;
+    H[8] = dx[0] * dx[2] * cutsqinv;
+    H[9] = dx[1] * dx[2] * cutsqinv;
+  }
+  Wij = 0;
+  for (b = 0; b < Mdim; b++) {
+    Wij += C[i][0][b] * H[b];  // C columns: 1 x y (z) xx yy (zz)
+  }
+  Wij *= w;
+
+  //Now compute Wji
+  H[1] *= -1;
+  H[2] *= -1;
+  if (dim == 3) H[3] *= -1;
+
+  Wji = 0;
+  for (b = 0; b < Mdim; b++) {
+    Wji += C[j][0][b] * H[b];  // C columns: 1 x y (z) xx yy (zz)
+  }
+  Wji *= w;
+
+  return w;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOKernel::calc_dw_rk1(int i, int j, double delx, double dely, double delz, double r, double *dW)
+{
+  int a, b;
+  double w, dx[3], H[Mdim];
+  dx[0] = delx;
+  dx[1] = dely;
+  dx[2] = delz;
+
+  w = calc_w_quintic(i, j, delx, dely, delz, r);
+
+  //Populate correction basis
+  if (dim == 2) {
+    H[0] = 1.0;
+    H[1] = dx[0] * cutinv;
+    H[2] = dx[1] * cutinv;
+  } else {
+    H[0] = 1.0;
+    H[1] = dx[0] * cutinv;
+    H[2] = dx[1] * cutinv;
+    H[3] = dx[2] * cutinv;
+  }
+
+  // dWij[] = dWx dWy (dWz)
+  //compute derivative operators
+  for (a = 0; a < dim; a++) {
+    dW[a] = 0.0;
+    for (b = 0; b < Mdim; b++) {
+      //First derivative kernels
+      dW[a] += C[i][1 + a][b] * H[b]; // C columns: 1 x y (z)
+    }
+    dW[a] *= w;
+  }
+}
+
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOKernel::calc_dw_rk2(int i, int j, double delx, double dely, double delz, double r, double *dW)
+{
+  int a, b;
+  double w, dx[3], H[Mdim];
+  dx[0] = delx;
+  dx[1] = dely;
+  dx[2] = delz;
+
+  w = calc_w_quintic(i, j, delx, dely, delz, r);
+
+  //Populate correction basis
+  if (dim == 2) {
+    H[0] = 1.0;
+    H[1] = dx[0] * cutinv;
+    H[2] = dx[1] * cutinv;
+    H[3] = 0.5 * dx[0] * dx[0] * cutsqinv;
+    H[4] = 0.5 * dx[1] * dx[1] * cutsqinv;
+    H[5] = dx[0] * dx[1] * cutsqinv;
+  } else {
+    H[0] = 1.0;
+    H[1] = dx[0] * cutinv;
+    H[2] = dx[1] * cutinv;
+    H[3] = dx[2] * cutinv;
+    H[4] = 0.5 * dx[0] * dx[0] * cutsqinv;
+    H[5] = 0.5 * dx[1] * dx[1] * cutsqinv;
+    H[6] = 0.5 * dx[2] * dx[2] * cutsqinv;
+    H[7] = dx[0] * dx[1] * cutsqinv;
+    H[8] = dx[0] * dx[2] * cutsqinv;
+    H[9] = dx[1] * dx[2] * cutsqinv;
+  }
+
+  // dWij[] = dWx dWy (dWz)
+  //compute derivative operators
+  for (a = 0; a < dim; a++) {
+    dW[a] = 0.0;
+    for (b = 0; b < Mdim; b++) {
+      //First derivative kernels
+      dW[a] += C[i][1 + a][b] * H[b]; // C columns: 1 x y (z) xx yy (zz)
+    }
+    dW[a] *= w;
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOKernel::compute_peratom()
+{
+  gsl_error_flag = 0;
+  gsl_error_tags.clear();
+
+  if (kernel_style == QUINTIC) return;
+  corrections_calculated = 1;
+
+  int i, j, ii, jj, inum, jnum, itype, g, a, b, gsl_error;
+  double xtmp, ytmp, ztmp, r, rsq, w, vj, rhoj;
+  double dx[3];
+  gsl_matrix_view gM;
+
+  // Turn off GSL error handler, revert RK to Quintic when insufficient neighbors
+  gsl_set_error_handler_off();
+
+  double **x = atom->x;
+  int *type = atom->type;
+  double *mass = atom->mass;
+  double *rho = atom->rho;
+  int *status = atom->rheo_status;
+  tagint *tag = atom->tag;
+
+  int *ilist, *jlist, *numneigh, **firstneigh;
+  inum = list->inum;
+  ilist = list->ilist;
+  numneigh = list->numneigh;
+  firstneigh = list->firstneigh;
+
+  // Grow arrays if necessary
+  if (nmax_store < atom->nmax) grow_arrays(atom->nmax);
+
+  if (kernel_style == RK0) {
+
+    double M;
+    for (ii = 0; ii < inum; ii++) {
+      i = ilist[ii];
+      xtmp = x[i][0];
+      ytmp = x[i][1];
+      ztmp = x[i][2];
+
+      jlist = firstneigh[i];
+      jnum = numneigh[i];
+
+      //Initialize M to zero:
+      M = 0;
+
+      for (jj = 0; jj < jnum; jj++) {
+        j = jlist[jj];
+        j &= NEIGHMASK;
+
+        dx[0] = xtmp - x[j][0];
+        dx[1] = ytmp - x[j][1];
+        dx[2] = ztmp - x[j][2];
+        rsq = lensq3(dx);
+
+        if (rsq < cutsq) {
+          r = sqrt(rsq);
+          w = calc_w_quintic(i, j, dx[0], dx[1], dx[2], r);
+          rhoj = rho[j];
+          if (interface_flag)
+            if (status[j] & PHASECHECK)
+              rhoj = compute_interface->correct_rho(j, i);
+
+          vj = mass[type[j]] / rhoj;
+          M += w * vj;
+        }
+      }
+
+      // Inverse of 1x1 matrix
+      if (coordination[i] >= zmin) C0[i] = 1.0 / M;
+    }
+  } else if (correction_order > 0) {
+
+    // Moment matrix M and polynomial basis vector cut (1d for gsl compatibility)
+    double H[Mdim], M[Mdim * Mdim];
+
+    for (ii = 0; ii < inum; ii++) {
+      i = ilist[ii];
+      xtmp = x[i][0];
+      ytmp = x[i][1];
+      ztmp = x[i][2];
+
+      jlist = firstneigh[i];
+      jnum = numneigh[i];
+      itype = type[i];
+
+      // Zero upper-triangle M and cut (will be symmetric):
+      for (a = 0; a < Mdim; a++) {
+        for (b = a; b < Mdim; b++) {
+          M[a * Mdim + b] = 0;
+        }
+      }
+
+      for (jj = 0; jj < jnum; jj++) {
+        j = jlist[jj];
+        j &= NEIGHMASK;
+
+        dx[0] = xtmp - x[j][0];
+        dx[1] = ytmp - x[j][1];
+        dx[2] = ztmp - x[j][2];
+
+        rsq = lensq3(dx);
+
+        if (rsq < cutsq) {
+          r = sqrt(rsq);
+          w = calc_w_quintic(i, j, dx[0], dx[1], dx[2], r);
+
+          rhoj = rho[j];
+          if (interface_flag)
+            if (status[j] & PHASECHECK)
+              rhoj = compute_interface->correct_rho(j, i);
+
+          vj = mass[type[j]] / rhoj;
+
+          //Populate the H-vector of polynomials (2D)
+          if (dim == 2) {
+            H[0] = 1.0;
+            H[1] = dx[0] * cutinv;
+            H[2] = dx[1] * cutinv;
+            if (kernel_style == RK2) {
+              H[3] = 0.5 * dx[0] * dx[0] * cutsqinv;
+              H[4] = 0.5 * dx[1] * dx[1] * cutsqinv;
+              H[5] = dx[0] * dx[1] * cutsqinv;
+            }
+          } else {
+            H[0] = 1.0;
+            H[1] = dx[0] * cutinv;
+            H[2] = dx[1] * cutinv;
+            H[3] = dx[2] * cutinv;
+            if (kernel_style == RK2) {
+              H[4] = 0.5 * dx[0] * dx[0] * cutsqinv;
+              H[5] = 0.5 * dx[1] * dx[1] * cutsqinv;
+              H[6] = 0.5 * dx[2] * dx[2] * cutsqinv;
+              H[7] = dx[0] * dx[1] * cutsqinv;
+              H[8] = dx[0] * dx[2] * cutsqinv;
+              H[9] = dx[1] * dx[2] * cutsqinv;
+            }
+          }
+
+          // Populate the upper triangle
+          for (a = 0; a < Mdim; a++) {
+            for (b = a; b < Mdim; b++) {
+              M[a * Mdim + b] += H[a] * H[b] * w * vj;
+            }
+          }
+        }
+      }
+
+      // Populate the lower triangle from the symmetric entries of M:
+      for (a = 0; a < Mdim; a++) {
+        for (b = a; b < Mdim; b++) {
+          M[b * Mdim + a] = M[a * Mdim + b];
+        }
+      }
+
+      // Skip if undercoordinated
+      if (coordination[i] < zmin) continue;
+
+      // Use gsl to get Minv, use Cholesky decomposition since the
+      // polynomials are independent, M is symmetrix & positive-definite
+      gM = gsl_matrix_view_array(M,Mdim,Mdim);
+      gsl_error = gsl_linalg_cholesky_decomp1(&gM.matrix);
+
+      if (gsl_error) {
+        //Revert to uncorrected SPH for this particle
+        gsl_error_flag = 1;
+        gsl_error_tags.insert(tag[i]);
+
+        //check if not positive-definite
+        if (gsl_error != GSL_EDOM)
+          error->warning(FLERR, "Failed decomposition in rheo/kernel, gsl_error = {}", gsl_error);
+
+        continue;
+      }
+
+      gsl_linalg_cholesky_invert(&gM.matrix);   //M is now M^-1
+
+      // Correction coefficients are columns of M^-1 multiplied by an appropriate coefficient
+      // Solve the linear system several times to get coefficientns
+      // M:    1   x   y  (z)  x^2  y^2 (z^2) xy   (xz)   (yz)
+      // ----------------------------------------------------------
+      //       0   1   2       3     4        5                 || 2D indexing
+      //       0   1   2   3   4     5   6    7     8      9    || 3D indexing
+      //  W    1   .   .   .    .    .   .    .     .      .
+      // dWx   .  -1   .   .    .    .   .    .     .      .
+      // dWy   .   .  -1   .    .    .   .    .     .      .
+      // dWz   .   .   .  (-1)  .    .   .    .     .      .
+      // d2Wx  .   .   .   .    2    .   .    .     .      .
+      // d2Wy  .   .   .   .    .    2   .    .     .      .
+      // d2Wz  .   .   .   .    .    .  (2)   .     .      .
+
+      //0 1 2 3 4
+      //0 1 2 3 4 5 6
+
+      // Pack coefficients into C
+      for (a = 0; a < Mdim; a++) {
+        C[i][0][a] = M[a * Mdim + 0]; // all rows of column 0
+        for (b = 0; b < dim; b++) {
+          //First derivatives
+          C[i][1 + b][a] = -M[a * Mdim + b + 1] * cutinv;
+          // columns 1-2 (2D)  or 1-3 (3D)
+
+          //Second derivatives
+          if (kernel_style == RK2)
+            C[i][1 + dim + b][a] = M[a * Mdim + b + 1 + dim] * cutsqinv;
+            // columns 3-4 (2D) or 4-6 (3D)
+        }
+      }
+    }
+  }
+
+  // communicate calculated quantities
+  comm_stage = 1;
+  comm_forward = comm_forward_save;
+  comm->forward_comm(this);
+}
+
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOKernel::compute_coordination()
+{
+  int i, j, ii, jj, inum, jnum;
+  double xtmp, ytmp, ztmp, rsq;
+  double dx[3];
+
+  double **x = atom->x;
+
+  int *ilist, *jlist, *numneigh, **firstneigh;
+  inum = list->inum;
+  ilist = list->ilist;
+  numneigh = list->numneigh;
+  firstneigh = list->firstneigh;
+
+  // Grow arrays if necessary
+  if (nmax_store < atom->nmax) grow_arrays(atom->nmax);
+
+  for (ii = 0; ii < inum; ii++) {
+    i = ilist[ii];
+    xtmp = x[i][0];
+    ytmp = x[i][1];
+    ztmp = x[i][2];
+
+    jlist = firstneigh[i];
+    jnum = numneigh[i];
+    coordination[i] = 0;
+
+    for (jj = 0; jj < jnum; jj++) {
+      j = jlist[jj];
+      j &= NEIGHMASK;
+
+      dx[0] = xtmp - x[j][0];
+      dx[1] = ytmp - x[j][1];
+      dx[2] = ztmp - x[j][2];
+      rsq = lensq3(dx);
+
+      if (rsq < cutsq)
+        coordination[i] += 1;
+    }
+  }
+
+  // communicate calculated quantities
+  comm_stage = 0;
+  comm_forward = 1;
+  comm->forward_comm(this);
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOKernel::grow_arrays(int nmax)
+{
+  memory->grow(coordination, nmax, "rheo:coordination");
+
+  if (kernel_style == RK0) {
+    memory->grow(C0, nmax, "rheo/kernel:C0");
+  } else if (correction_order > 0) {
+    memory->grow(C, nmax, ncor, Mdim, "rheo/kernel:C");
+  }
+
+  nmax_store = nmax;
+}
+
+/* ---------------------------------------------------------------------- */
+
+int ComputeRHEOKernel::pack_forward_comm(int n, int *list, double *buf,
+                                        int /*pbc_flag*/, int * /*pbc*/)
+{
+  int i,j,k,m,a,b;
+  m = 0;
+
+  for (i = 0; i < n; i++) {
+    j = list[i];
+    if (comm_stage == 0) {
+      buf[m++] = coordination[j];
+    } else {
+      if (kernel_style == RK0) {
+        buf[m++] = C0[j];
+      } else {
+        for (a = 0; a < ncor; a++)
+          for (b = 0; b < Mdim; b++)
+            buf[m++] = C[j][a][b];
+      }
+    }
+  }
+  return m;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOKernel::unpack_forward_comm(int n, int first, double *buf)
+{
+  int i, k, m, last,a,b;
+  m = 0;
+  last = first + n;
+
+  for (i = first; i < last; i++) {
+    if (comm_stage == 0) {
+      coordination[i] = buf[m++];
+    } else {
+      if (kernel_style == RK0) {
+        C0[i] = buf[m++];
+      } else {
+        for (a = 0; a < ncor; a++)
+          for (b = 0; b < Mdim; b++)
+            C[i][a][b] = buf[m++];
+      }
+    }
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+double ComputeRHEOKernel::memory_usage()
+{
+  double bytes = 0.0;
+  bytes = (size_t) nmax_store * sizeof(int);
+
+  if (kernel_style == RK0) {
+    bytes += (size_t) nmax_store * sizeof(double);
+  } else if (correction_order > 0) {
+    bytes += (size_t) nmax_store * ncor * Mdim * sizeof(double);
+  }
+  return bytes;
+}

src/RHEO/compute_rheo_kernel.h

@@ -0,0 +1,81 @@
+/* -*- c++ -*- ----------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+#ifdef COMPUTE_CLASS
+// clang-format off
+ComputeStyle(RHEO/KERNEL,ComputeRHEOKernel)
+// clang-format on
+#else
+
+#ifndef LMP_COMPUTE_RHEO_KERNEL_H
+#define LMP_COMPUTE_RHEO_KERNEL_H
+
+#include "compute.h"
+#include <unordered_set>
+
+namespace LAMMPS_NS {
+
+class ComputeRHEOKernel : public Compute {
+ public:
+  ComputeRHEOKernel(class LAMMPS *, int, char **);
+  ~ComputeRHEOKernel() override;
+  void init() override;
+  void init_list(int, class NeighList *) override;
+  void compute_peratom() override;
+  int pack_forward_comm(int, int *, double *, int, int *) override;
+  void unpack_forward_comm(int, int, double *) override;
+  double memory_usage() override;
+  void compute_coordination();
+  double calc_w_self(int,int);
+  double calc_w(int,int,double,double,double,double);
+  double calc_dw(int,int,double,double,double,double);
+  double calc_w_quintic(int,int,double,double,double,double);
+  double calc_dw_quintic(int,int,double,double,double,double,double *,double *);
+  double calc_w_wendlandc4(int,int,double,double,double,double);
+  double calc_dw_wendlandc4(int,int,double,double,double,double,double *,double *);
+  void grow_arrays(int);
+
+  double dWij[3], dWji[3], Wij, Wji;
+  int correction_order;
+  int *coordination;
+  class FixRHEO *fix_rheo;
+
+ private:
+  int comm_stage, comm_forward_save;
+  int interface_flag;
+  int gsl_error_flag;
+  std::unordered_set<tagint> gsl_error_tags;
+
+  int corrections_calculated;
+  int kernel_style, zmin, dim, Mdim, ncor;
+  int nmax_store;
+  double cut, cutsq, cutinv, cutsqinv, pre_w, pre_wp;
+  double ***C;
+  double *C0;
+
+  class NeighList *list;
+  class ComputeRHEOInterface *compute_interface;
+
+  int check_corrections(int);
+
+  double calc_w_rk0(int,int,double,double,double,double);
+  double calc_w_rk1(int,int,double,double,double,double);
+  double calc_w_rk2(int,int,double,double,double,double);
+  void calc_dw_rk1(int,int,double,double,double,double,double *);
+  void calc_dw_rk2(int,int,double,double,double,double,double *);
+};
+
+}    // namespace LAMMPS_NS
+
+#endif
+#endif

src/RHEO/compute_rheo_property_atom.cpp

@@ -0,0 +1,614 @@
+// clang-format off
+/* ----------------------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+   Contributing authors:
+   Joel Clemmer (SNL)
+----------------------------------------------------------------------- */
+
+#include "compute_rheo_property_atom.h"
+
+#include "atom.h"
+#include "atom_vec.h"
+#include "compute_rheo_interface.h"
+#include "compute_rheo_kernel.h"
+#include "compute_rheo_surface.h"
+#include "compute_rheo_vshift.h"
+#include "compute_rheo_grad.h"
+#include "domain.h"
+#include "error.h"
+#include "fix_rheo.h"
+#include "fix_rheo_oxidation.h"
+#include "fix_rheo_pressure.h"
+#include "fix_rheo_thermal.h"
+#include "memory.h"
+#include "modify.h"
+#include "update.h"
+#include "utils.h"
+
+#include <cmath>
+#include <cstring>
+
+using namespace LAMMPS_NS;
+using namespace RHEO_NS;
+
+/* ---------------------------------------------------------------------- */
+
+ComputeRHEOPropertyAtom::ComputeRHEOPropertyAtom(LAMMPS *lmp, int narg, char **arg) :
+  Compute(lmp, narg, arg), fix_rheo(nullptr), fix_pressure(nullptr), fix_thermal(nullptr),  compute_interface(nullptr),
+  compute_kernel(nullptr), compute_surface(nullptr), compute_vshift(nullptr), compute_grad(nullptr),
+  avec_index(nullptr), pack_choice(nullptr), col_index(nullptr)
+{
+  if (narg < 4)  utils::missing_cmd_args(FLERR, "compute property/atom", error);
+
+  peratom_flag = 1;
+  int dim = domain->dimension;
+
+  // Determine number of values
+  nvalues = 0;
+  for (int iarg = 3; iarg < narg; iarg++) {
+    if (strcmp(arg[iarg], "surface/n/*") == 0) {
+      nvalues += dim;
+    } else if (strcmp(arg[iarg], "shift/v/*") == 0) {
+      nvalues += dim;
+    } else if (strcmp(arg[iarg], "grad/v/*") == 0) {
+      nvalues += dim * dim;
+    } else if (strcmp(arg[iarg], "stress/v/*") == 0) {
+      nvalues += dim * dim;
+    } else if (strcmp(arg[iarg], "stress/t/*") == 0) {
+      nvalues += dim * dim;
+    } else {
+      nvalues += 1;
+    }
+  }
+
+  if (nvalues == 1) size_peratom_cols = 0;
+  else size_peratom_cols = nvalues;
+
+  pressure_flag = thermal_flag = interface_flag = 0;
+  surface_flag = shift_flag = shell_flag = 0;
+
+  // parse input values
+  // customize a new keyword by adding to if statement
+
+  pack_choice = new FnPtrPack[nvalues];
+  avec_index = new int[nvalues];
+  col_index = new int[nvalues];
+  col_t_index = new int[nvalues];
+
+  int i = 0;
+  int index, a, b;
+  for (int iarg = 3; iarg < narg; iarg++) {
+    if (strcmp(arg[iarg], "phase") == 0) {
+      pack_choice[i] = &ComputeRHEOPropertyAtom::pack_phase;
+    } else if (strcmp(arg[iarg], "status") == 0) {
+      // Short hand for "rheo_status"
+      pack_choice[i] = &ComputeRHEOPropertyAtom::pack_status;
+    } else if (strcmp(arg[iarg], "chi") == 0) {
+      interface_flag = 1;
+      pack_choice[i] = &ComputeRHEOPropertyAtom::pack_chi;
+    } else if (strcmp(arg[iarg], "surface") == 0) {
+      surface_flag = 1;
+      pack_choice[i] = &ComputeRHEOPropertyAtom::pack_surface;
+    } else if (strcmp(arg[iarg], "surface/r") == 0) {
+      surface_flag = 1;
+      pack_choice[i] = &ComputeRHEOPropertyAtom::pack_surface_r;
+    } else if (strcmp(arg[iarg], "surface/divr") == 0) {
+      surface_flag = 1;
+      pack_choice[i] = &ComputeRHEOPropertyAtom::pack_surface_divr;
+    } else if (strcmp(arg[iarg], "coordination") == 0) {
+      pack_choice[i] = &ComputeRHEOPropertyAtom::pack_coordination;
+    } else if (strcmp(arg[iarg], "pressure") == 0) {
+      pressure_flag = 1;
+      pack_choice[i] = &ComputeRHEOPropertyAtom::pack_pressure;
+    } else if (strcmp(arg[iarg], "cv") == 0) {
+      thermal_flag = 1;
+      pack_choice[i] = &ComputeRHEOPropertyAtom::pack_cv;
+    } else if (utils::strmatch(arg[iarg], "^surface/n/")) {
+      surface_flag = 1;
+      i += add_vector_component(arg[iarg], i, &ComputeRHEOPropertyAtom::pack_surface_n) - 1;
+    } else if (utils::strmatch(arg[iarg], "^shift/v/")) {
+      shift_flag = 1;
+      i += add_vector_component(arg[iarg], i, &ComputeRHEOPropertyAtom::pack_shift_v) - 1;
+    } else if (utils::strmatch(arg[iarg], "^grad/v/")) {
+      i += add_tensor_component(arg[iarg], i, &ComputeRHEOPropertyAtom::pack_gradv) - 1;
+    } else if (utils::strmatch(arg[iarg], "^stress/v/")) {
+      i += add_tensor_component(arg[iarg], i, &ComputeRHEOPropertyAtom::pack_viscous_stress) - 1;
+    } else if (utils::strmatch(arg[iarg], "^stress/t/")) {
+      i += add_tensor_component(arg[iarg], i, &ComputeRHEOPropertyAtom::pack_total_stress) - 1;
+    } else if (strcmp(arg[iarg], "energy") == 0) {
+      avec_index[i] = atom->avec->property_atom("esph");
+      if (avec_index[i] < 0)
+        error->all(FLERR,
+                   "Invalid keyword {} for atom style {} in compute rheo/property/atom command ",
+                   arg[iarg], atom->get_style());
+      pack_choice[i] = &ComputeRHEOPropertyAtom::pack_atom_style;
+      thermal_flag = 1;
+    } else if (strcmp(arg[iarg], "nbond/shell") == 0) {
+      shell_flag = 1;
+      pack_choice[i] = &ComputeRHEOPropertyAtom::pack_nbond_shell;
+    } else {
+      avec_index[i] = atom->avec->property_atom(arg[iarg]);
+      if (avec_index[i] < 0)
+        error->all(FLERR,
+                   "Invalid keyword {} for atom style {} in compute rheo/property/atom command ",
+                   arg[iarg], atom->get_style());
+      pack_choice[i] = &ComputeRHEOPropertyAtom::pack_atom_style;
+
+      if (strcmp(arg[iarg], "temperature") == 0) thermal_flag = 1;
+      if (strcmp(arg[iarg], "heatflow") == 0) thermal_flag = 1;
+      if (strcmp(arg[iarg], "conductivity") == 0) thermal_flag = 1;
+    }
+    i++;
+  }
+
+  nmax = 0;
+}
+
+/* ---------------------------------------------------------------------- */
+
+ComputeRHEOPropertyAtom::~ComputeRHEOPropertyAtom()
+{
+  delete[] pack_choice;
+  delete[] avec_index;
+  delete[] col_index;
+  delete[] col_t_index;
+  memory->destroy(vector_atom);
+  memory->destroy(array_atom);
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOPropertyAtom::init()
+{
+  auto fixes = modify->get_fix_by_style("^rheo$");
+  if (fixes.size() == 0) error->all(FLERR, "Need to define fix rheo to use compute rheo/property/atom");
+  fix_rheo = dynamic_cast<FixRHEO *>(fixes[0]);
+
+  if (interface_flag && !(fix_rheo->interface_flag))
+    error->all(FLERR, "Cannot request interfacial property without corresponding option in fix rheo");
+  if (surface_flag && !(fix_rheo->surface_flag))
+    error->all(FLERR, "Cannot request surface property without corresponding option in fix rheo");
+  if (shift_flag && !(fix_rheo->shift_flag))
+    error->all(FLERR, "Cannot request velocity shifting property without corresponding option in fix rheo");
+  if (thermal_flag && !(fix_rheo->thermal_flag))
+    error->all(FLERR, "Cannot request thermal property without fix rheo/thermal");
+
+  compute_interface = fix_rheo->compute_interface;
+  compute_kernel = fix_rheo->compute_kernel;
+  compute_surface = fix_rheo->compute_surface;
+  compute_vshift = fix_rheo->compute_vshift;
+  compute_grad = fix_rheo->compute_grad;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOPropertyAtom::setup()
+{
+  if (thermal_flag) {
+    auto fixes = modify->get_fix_by_style("rheo/thermal");
+    fix_thermal = dynamic_cast<FixRHEOThermal *>(fixes[0]);
+  }
+
+  if (pressure_flag) {
+    auto fixes = modify->get_fix_by_style("rheo/pressure");
+    fix_pressure = dynamic_cast<FixRHEOPressure *>(fixes[0]);
+  }
+
+  if (shell_flag) {
+    auto fixes = modify->get_fix_by_style("rheo/oxidation");
+    fix_oxidation = dynamic_cast<FixRHEOOxidation *>(fixes[0]);
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOPropertyAtom::compute_peratom()
+{
+  invoked_peratom = update->ntimestep;
+
+  // grow vector or array if necessary
+
+  if (atom->nmax > nmax) {
+    nmax = atom->nmax;
+    if (nvalues == 1) {
+      memory->destroy(vector_atom);
+      memory->create(vector_atom, nmax, "rheo/property/atom:vector");
+    } else {
+      memory->destroy(array_atom);
+      memory->create(array_atom, nmax, nvalues, "rheo/property/atom:array");
+    }
+  }
+
+  // fill vector or array with per-atom values
+
+  if (nvalues == 1) {
+    buf = vector_atom;
+    (this->*pack_choice[0])(0);
+  } else {
+    if (nmax) buf = &array_atom[0][0];
+    else buf = nullptr;
+    for (int n = 0; n < nvalues; n++)
+      (this->*pack_choice[n])(n);
+  }
+}
+
+/* ----------------------------------------------------------------------
+   memory usage of local atom-based array
+------------------------------------------------------------------------- */
+
+double ComputeRHEOPropertyAtom::memory_usage()
+{
+  double bytes = (double)nmax * nvalues * sizeof(double);
+  return bytes;
+}
+
+/* ----------------------------------------------------------------------
+   one method for every keyword compute rheo/property/atom can output
+   the atom property is packed into buf starting at n with stride nvalues
+   customize a new keyword by adding a method
+------------------------------------------------------------------------- */
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOPropertyAtom::pack_phase(int n)
+{
+  int *status = atom->rheo_status;
+  int *mask = atom->mask;
+  int nlocal = atom->nlocal;
+
+  for (int i = 0; i < nlocal; i++) {
+    if (mask[i] & groupbit) buf[n] = (status[i] & PHASECHECK);
+    else buf[n] = 0.0;
+    n += nvalues;
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOPropertyAtom::pack_status(int n)
+{
+  int *status = atom->rheo_status;
+  int *mask = atom->mask;
+  int nlocal = atom->nlocal;
+
+  for (int i = 0; i < nlocal; i++) {
+    if (mask[i] & groupbit) buf[n] = status[i];
+    else buf[n] = 0.0;
+    n += nvalues;
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOPropertyAtom::pack_chi(int n)
+{
+  double *chi = compute_interface->chi;
+  int *mask = atom->mask;
+  int nlocal = atom->nlocal;
+
+  for (int i = 0; i < nlocal; i++) {
+    if (mask[i] & groupbit) buf[n] = chi[i];
+    else buf[n] = 0.0;
+    n += nvalues;
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOPropertyAtom::pack_surface(int n)
+{
+  int *status = atom->rheo_status;
+  int *mask = atom->mask;
+  int nlocal = atom->nlocal;
+
+  double label;
+  for (int i = 0; i < nlocal; i++) {
+    label = 0;
+    if (mask[i] & groupbit) {
+      if (status[i] & STATUS_SURFACE) label = 1.0;
+      if (status[i] & STATUS_SPLASH) label = 2.0;
+    }
+    buf[n] = label;
+    n += nvalues;
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOPropertyAtom::pack_surface_r(int n)
+{
+  double *rsurface = compute_surface->rsurface;
+  int *mask = atom->mask;
+  int nlocal = atom->nlocal;
+
+  for (int i = 0; i < nlocal; i++) {
+    if (mask[i] & groupbit) buf[n] = rsurface[i];
+    else buf[n] = 0.0;
+    n += nvalues;
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOPropertyAtom::pack_surface_divr(int n)
+{
+  double *divr = compute_surface->divr;
+  int *mask = atom->mask;
+  int nlocal = atom->nlocal;
+
+  for (int i = 0; i < nlocal; i++) {
+    if (mask[i] & groupbit) buf[n] = divr[i];
+    else buf[n] = 0.0;
+    n += nvalues;
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOPropertyAtom::pack_surface_n(int n)
+{
+  double **nsurface = compute_surface->nsurface;
+  int *mask = atom->mask;
+  int nlocal = atom->nlocal;
+  int index = col_index[n];
+
+  for (int i = 0; i < nlocal; i++) {
+    if (mask[i] & groupbit) buf[n] = nsurface[i][index];
+    else buf[n] = 0.0;
+    n += nvalues;
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOPropertyAtom::pack_coordination(int n)
+{
+  int *coordination = compute_kernel->coordination;
+  int *mask = atom->mask;
+  int nlocal = atom->nlocal;
+
+  for (int i = 0; i < nlocal; i++) {
+    if (mask[i] & groupbit) buf[n] = coordination[i];
+    else buf[n] = 0.0;
+    n += nvalues;
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOPropertyAtom::pack_cv(int n)
+{
+  int *type = atom->type;
+  int *mask = atom->mask;
+  int nlocal = atom->nlocal;
+
+  for (int i = 0; i < nlocal; i++) {
+    if (mask[i] & groupbit) buf[n] = fix_thermal->calc_cv(i, type[i]);
+    else buf[n] = 0.0;
+    n += nvalues;
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOPropertyAtom::pack_pressure(int n)
+{
+  int *type = atom->type;
+  int *mask = atom->mask;
+  double *rho = atom->rho;
+  int nlocal = atom->nlocal;
+
+  for (int i = 0; i < nlocal; i++) {
+    if (mask[i] & groupbit) buf[n] = fix_pressure->calc_pressure(rho[i], type[i]);
+    else buf[n] = 0.0;
+    n += nvalues;
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOPropertyAtom::pack_viscous_stress(int n)
+{
+  double **gradv = compute_grad->gradv;
+  double *viscosity = atom->viscosity;
+  int *mask = atom->mask;
+  int nlocal = atom->nlocal;
+  int index = col_index[n];
+  int dim = domain->dimension;
+  int a = index / dim;
+  int b = index % dim;
+  int index_transpose = b * dim + a;
+
+  for (int i = 0; i < nlocal; i++) {
+    if (mask[i] & groupbit) buf[n] = viscosity[i] * (gradv[i][index] + gradv[i][index_transpose]);
+    else buf[n] = 0.0;
+    n += nvalues;
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOPropertyAtom::pack_total_stress(int n)
+{
+  double **gradv = compute_grad->gradv;
+  double *viscosity = atom->viscosity;
+  double *rho = atom->rho;
+  int *type = atom->type;
+  int *mask = atom->mask;
+  int nlocal = atom->nlocal;
+  int index = col_index[n];
+  int dim = domain->dimension;
+  int a = index / dim;
+  int b = index % dim;
+  int index_transpose = b * dim + a;
+  double p;
+
+  for (int i = 0; i < nlocal; i++) {
+    if (mask[i] & groupbit) {
+      if (index == index_transpose)
+        p = fix_pressure->calc_pressure(rho[i], type[i]);
+      else
+        p = 0.0;
+      buf[n] = viscosity[i] * (gradv[i][index] + gradv[i][index_transpose]) + p;
+    } else buf[n] = 0.0;
+    n += nvalues;
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOPropertyAtom::pack_nbond_shell(int n)
+{
+  int *nbond = fix_oxidation->nbond;
+  int *mask = atom->mask;
+  int nlocal = atom->nlocal;
+
+  for (int i = 0; i < nlocal; i++) {
+    if (mask[i] & groupbit) buf[n] = nbond[i];
+    else buf[n] = 0.0;
+    n += nvalues;
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOPropertyAtom::pack_shift_v(int n)
+{
+  double **vshift = compute_vshift->vshift;
+  int *mask = atom->mask;
+  int nlocal = atom->nlocal;
+  int index = col_index[n];
+
+  for (int i = 0; i < nlocal; i++) {
+    if (mask[i] & groupbit) buf[n] = vshift[i][index];
+    else buf[n] = 0.0;
+    n += nvalues;
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOPropertyAtom::pack_gradv(int n)
+{
+  double **gradv = compute_grad->gradv;
+  int *mask = atom->mask;
+  int nlocal = atom->nlocal;
+  int index = col_index[n];
+
+  for (int i = 0; i < nlocal; i++) {
+    if (mask[i] & groupbit) buf[n] = gradv[i][index];
+    else buf[n] = 0.0;
+    n += nvalues;
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOPropertyAtom::pack_atom_style(int n)
+{
+  atom->avec->pack_property_atom(avec_index[n], &buf[n], nvalues, groupbit);
+}
+
+/* ---------------------------------------------------------------------- */
+
+int ComputeRHEOPropertyAtom::add_tensor_component(char* option, int i, FnPtrPack pack_function)
+{
+  int shift;
+  int dim = domain->dimension;
+  if (((std::string) option).back() == '*') {
+    for (int a = 0; a < dim; a++) {
+      for (int b = 0; b < dim; b++) {
+        pack_choice[i + a * dim + b] = pack_function;
+        col_index[i + a * dim + b] = a * dim + b;
+      }
+    }
+    shift = dim * dim;
+  } else {
+    int index;
+    int dim_error = 0;
+
+    if (utils::strmatch(option, "xx$")) {
+      index = 0;
+    } else if (utils::strmatch(option, "xy$")) {
+      index = 1;
+    } else if (utils::strmatch(option, "xz$")) {
+      index = 2;
+      if (dim == 2) dim_error = 1;
+    } else if (utils::strmatch(option, "yx$")) {
+      if (dim == 2) index = 2;
+      else index = 3;
+    } else if (utils::strmatch(option, "yy$")) {
+      if (dim == 2) index = 3;
+      else index = 4;
+    } else if (utils::strmatch(option, "yz$")) {
+      index = 5;
+      if (dim == 2) dim_error = 1;
+    } else if (utils::strmatch(option, "zx$")) {
+      index = 6;
+      if (dim == 2) dim_error = 1;
+    } else if (utils::strmatch(option, "zy$")) {
+      index = 7;
+      if (dim == 2) dim_error = 1;
+    } else if (utils::strmatch(option, "zz$")) {
+      index = 8;
+      if (dim == 2) dim_error = 1;
+    } else {
+      error->all(FLERR, "Invalid compute rheo/property/atom property {}", option);
+    }
+
+    if (dim_error)
+      error->all(FLERR, "Invalid compute rheo/property/atom property {} in 2D", option);
+
+    pack_choice[i] = pack_function;
+    col_index[i] = index;
+    shift = 1;
+  }
+
+  return shift;
+}
+
+/* ---------------------------------------------------------------------- */
+
+int ComputeRHEOPropertyAtom::add_vector_component(char* option, int i, FnPtrPack pack_function)
+{
+  int shift;
+  int dim = domain->dimension;
+  if (((std::string) option).back() == '*') {
+    for (int a = 0; a < dim; a++) {
+      pack_choice[i + a] = pack_function;
+      col_index[i + a] = a;
+    }
+    shift = dim;
+  } else {
+    int index;
+    if (utils::strmatch(option, "x$")) {
+      index = 0;
+    } else if (utils::strmatch(option, "y$")) {
+      index = 1;
+    } else if (utils::strmatch(option, "z$")) {
+      if (dim == 2)
+        error->all(FLERR, "Invalid compute rheo/property/atom property {} in 2D", option);
+      index = 2;
+    } else {
+      error->all(FLERR, "Invalid compute rheo/property/atom property {}", option);
+    }
+
+    pack_choice[i] = pack_function;
+    col_index[i] = index;
+    shift = 1;
+  }
+
+  return shift;
+}

src/RHEO/compute_rheo_property_atom.h

@@ -0,0 +1,83 @@
+/* -*- c++ -*- ----------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+#ifdef COMPUTE_CLASS
+// clang-format off
+ComputeStyle(rheo/property/atom,ComputeRHEOPropertyAtom);
+// clang-format on
+#else
+
+#ifndef LMP_COMPUTE_RHEO_PROPERTY_ATOM_H
+#define LMP_COMPUTE_RHEO_PROPERTY_ATOM_H
+
+#include "compute.h"
+
+namespace LAMMPS_NS {
+
+class ComputeRHEOPropertyAtom : public Compute {
+ public:
+  ComputeRHEOPropertyAtom(class LAMMPS *, int, char **);
+  ~ComputeRHEOPropertyAtom() override;
+  void init() override;
+  void setup() override;
+  void compute_peratom() override;
+  double memory_usage() override;
+
+ private:
+  int nvalues, nmax;
+  int pressure_flag, thermal_flag, interface_flag;
+  int surface_flag, shift_flag, shell_flag;
+  int *avec_index;
+  int *col_index, *col_t_index;
+  double *buf;
+
+  typedef void (ComputeRHEOPropertyAtom::*FnPtrPack)(int);
+  FnPtrPack *pack_choice;    // ptrs to pack functions
+
+  void pack_phase(int);
+  void pack_status(int);
+  void pack_chi(int);
+  void pack_surface(int);
+  void pack_surface_r(int);
+  void pack_surface_divr(int);
+  void pack_surface_n(int);
+  void pack_coordination(int);
+  void pack_cv(int);
+  void pack_shift_v(int);
+  void pack_gradv(int);
+  void pack_pressure(int);
+  void pack_viscous_stress(int);
+  void pack_total_stress(int);
+  void pack_nbond_shell(int);
+  void pack_atom_style(int);
+
+  int add_vector_component(char*, int, FnPtrPack);
+  int add_tensor_component(char*, int, FnPtrPack);
+
+  class FixRHEO *fix_rheo;
+  class FixRHEOPressure *fix_pressure;
+  class FixRHEOThermal *fix_thermal;
+  class FixRHEOOxidation *fix_oxidation;
+  class ComputeRHEOInterface *compute_interface;
+  class ComputeRHEOKernel *compute_kernel;
+  class ComputeRHEOSurface *compute_surface;
+  class ComputeRHEOVShift *compute_vshift;
+  class ComputeRHEOGrad *compute_grad;
+
+};
+
+}    // namespace LAMMPS_NS
+
+#endif
+#endif
+

src/RHEO/compute_rheo_rho_sum.cpp

@@ -0,0 +1,197 @@
+// clang-format off
+/* ----------------------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+   Contributing authors:
+   Joel Clemmer (SNL)
+----------------------------------------------------------------------- */
+
+#include "compute_rheo_rho_sum.h"
+
+#include "atom.h"
+#include "comm.h"
+#include "compute_rheo_kernel.h"
+#include "error.h"
+#include "fix_rheo.h"
+#include "force.h"
+#include "neighbor.h"
+#include "neigh_list.h"
+#include "neigh_request.h"
+
+using namespace LAMMPS_NS;
+
+/* ---------------------------------------------------------------------- */
+
+ComputeRHEORhoSum::ComputeRHEORhoSum(LAMMPS *lmp, int narg, char **arg) :
+  Compute(lmp, narg, arg), fix_rheo(nullptr), compute_kernel(nullptr)
+{
+  if (narg != 4) error->all(FLERR,"Illegal compute RHEO/rho command");
+
+  self_mass_flag = utils::bnumeric(FLERR, arg[3], false, lmp);
+
+  comm_forward = 1;
+  comm_reverse = 1;
+}
+
+/* ---------------------------------------------------------------------- */
+
+ComputeRHEORhoSum::~ComputeRHEORhoSum() {}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEORhoSum::init()
+{
+  compute_kernel = fix_rheo->compute_kernel;
+  cut = fix_rheo->cut;
+  cutsq = cut * cut;
+
+  // need an occasional half neighbor list
+  neighbor->add_request(this, NeighConst::REQ_DEFAULT);
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEORhoSum::init_list(int /*id*/, NeighList *ptr)
+{
+  list = ptr;
+}
+
+/* ---------------------------------------------------------------------- */
+
+
+void ComputeRHEORhoSum::compute_peratom()
+{
+  int i, j, ii, jj, inum, jnum, itype, jtype;
+  double xtmp, ytmp, ztmp, delx, dely, delz;
+  int *ilist, *jlist, *numneigh, **firstneigh;
+  double rsq, w;
+
+  int nlocal = atom->nlocal;
+
+  double **x = atom->x;
+  double *rho = atom->rho;
+  int *type = atom->type;
+  double *mass = atom->mass;
+  int newton = force->newton;
+
+  double jmass;
+
+  inum = list->inum;
+  ilist = list->ilist;
+  numneigh = list->numneigh;
+  firstneigh = list->firstneigh;
+  int nall = nlocal + atom->nghost;
+
+  // initialize arrays, local with quintic self-contribution, ghosts are zeroed
+  for (i = 0; i < nlocal; i++) {
+    w = compute_kernel->calc_w_self(i, i);
+    rho[i] = w * mass[type[i]];
+  }
+
+  for (i = nlocal; i < nall; i++) rho[i] = 0.0;
+
+  for (ii = 0; ii < inum; ii++) {
+    i = ilist[ii];
+    xtmp = x[i][0];
+    ytmp = x[i][1];
+    ztmp = x[i][2];
+    itype = type[i];
+    jlist = firstneigh[i];
+    jnum = numneigh[i];
+
+    for (jj = 0; jj < jnum; jj++) {
+      j = jlist[jj];
+      j &= NEIGHMASK;
+
+      delx = xtmp - x[j][0];
+      dely = ytmp - x[j][1];
+      delz = ztmp - x[j][2];
+      rsq = delx * delx + dely * dely + delz * delz;
+      if (rsq < cutsq) {
+        w = compute_kernel->calc_w(i, j, delx, dely, delz, sqrt(rsq));
+
+        if (self_mass_flag) {
+          rho[i] += w * mass[type[i]];
+          if (newton || j < nlocal)
+            rho[j] += w * mass[type[j]];
+        } else {
+          rho[i] += w * mass[type[j]];
+          if (newton || j < nlocal)
+            rho[j] += w * mass[type[i]];
+        }
+      }
+    }
+  }
+
+  if (newton) comm->reverse_comm(this);
+  comm->forward_comm(this);
+}
+
+/* ---------------------------------------------------------------------- */
+
+int ComputeRHEORhoSum::pack_forward_comm(int n, int *list, double *buf,
+                                        int /*pbc_flag*/, int * /*pbc*/)
+{
+  int i, j, k, m;
+  double *rho = atom->rho;
+  m = 0;
+
+  for (i = 0; i < n; i++) {
+    j = list[i];
+    buf[m++] = rho[j];
+  }
+  return m;
+}
+
+/* ---------------------------------------------------------------------- */
+void ComputeRHEORhoSum::unpack_forward_comm(int n, int first, double *buf)
+{
+  int i, k, m, last;
+  double *rho = atom->rho;
+
+  m = 0;
+  last = first + n;
+  for (i = first; i < last; i++) {
+    rho[i] = buf[m++];
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+int ComputeRHEORhoSum::pack_reverse_comm(int n, int first, double *buf)
+{
+  int i, k, m, last;
+  double *rho = atom->rho;
+
+  m = 0;
+  last = first + n;
+  for (i = first; i < last; i++) {
+    buf[m++] = rho[i];
+  }
+  return m;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEORhoSum::unpack_reverse_comm(int n, int *list, double *buf)
+{
+  int i, k, j, m;
+  double *rho = atom->rho;
+
+  m = 0;
+  for (i = 0; i < n; i++) {
+    j = list[i];
+    rho[j] += buf[m++];
+  }
+}

src/RHEO/compute_rheo_rho_sum.h

@@ -0,0 +1,52 @@
+/* -*- c++ -*- ----------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+#ifdef COMPUTE_CLASS
+// clang-format off
+ComputeStyle(RHEO/RHO/SUM,ComputeRHEORhoSum)
+// clang-format on
+#else
+
+#ifndef LMP_COMPUTE_RHEO_RHO_SUM_H
+#define LMP_COMPUTE_RHEO_RHO_SUM_H
+
+#include "compute.h"
+
+namespace LAMMPS_NS {
+
+class ComputeRHEORhoSum : public Compute {
+ public:
+  ComputeRHEORhoSum(class LAMMPS *, int, char **);
+  ~ComputeRHEORhoSum() override;
+  void init() override;
+  void init_list(int, class NeighList *) override;
+  void compute_peratom() override;
+  int pack_forward_comm(int, int *, double *, int, int *) override;
+  void unpack_forward_comm(int, int, double *) override;
+  int pack_reverse_comm(int, int, double *) override;
+  void unpack_reverse_comm(int, int *, double *) override;
+
+  class FixRHEO *fix_rheo;
+
+ private:
+  int self_mass_flag;
+  double cut, cutsq;
+
+  class NeighList *list;
+  class ComputeRHEOKernel *compute_kernel;
+};
+
+}    // namespace LAMMPS_NS
+
+#endif
+#endif

src/RHEO/compute_rheo_surface.cpp

@@ -0,0 +1,417 @@
+// clang-format off
+/* ----------------------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+   Contributing authors:
+   Joel Clemmer (SNL), Thomas O'Connor (CMU), Eric Palermo (CMU)
+----------------------------------------------------------------------- */
+
+#include "compute_rheo_surface.h"
+
+#include "atom.h"
+#include "comm.h"
+#include "compute_rheo_interface.h"
+#include "compute_rheo_kernel.h"
+#include "domain.h"
+#include "error.h"
+#include "fix_rheo.h"
+#include "force.h"
+#include "math_extra.h"
+#include "memory.h"
+#include "neighbor.h"
+#include "neigh_list.h"
+#include "neigh_request.h"
+
+using namespace LAMMPS_NS;
+using namespace RHEO_NS;
+using namespace FixConst;
+using namespace MathExtra;
+
+static constexpr double EPSILON = 1e-10;
+
+/* ---------------------------------------------------------------------- */
+
+ComputeRHEOSurface::ComputeRHEOSurface(LAMMPS *lmp, int narg, char **arg) :
+  Compute(lmp, narg, arg), fix_rheo(nullptr), list(nullptr), rho0(nullptr), compute_kernel(nullptr), compute_interface(nullptr),
+  B(nullptr), gradC(nullptr), nsurface(nullptr), divr(nullptr), rsurface(nullptr)
+{
+  if (narg != 3) error->all(FLERR,"Illegal compute RHEO/SURFACE command");
+
+  int dim = domain->dimension;
+  comm_forward = 2;
+  comm_reverse = dim * dim + 1;
+
+  nmax_store = 0;
+  grow_arrays(atom->nmax);
+}
+
+/* ---------------------------------------------------------------------- */
+
+ComputeRHEOSurface::~ComputeRHEOSurface()
+{
+  memory->destroy(divr);
+  memory->destroy(rsurface);
+  memory->destroy(nsurface);
+  memory->destroy(B);
+  memory->destroy(gradC);
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOSurface::init()
+{
+  compute_kernel = fix_rheo->compute_kernel;
+  compute_interface = fix_rheo->compute_interface;
+  cut = fix_rheo->cut;
+  rho0 = fix_rheo->rho0;
+  threshold_style = fix_rheo->surface_style;
+  threshold_divr = fix_rheo->divr_surface;
+  threshold_z = fix_rheo->zmin_surface;
+  threshold_splash = fix_rheo->zmin_splash;
+  interface_flag = fix_rheo->interface_flag;
+
+  cutsq = cut * cut;
+
+  // need an occasional half neighbor list
+  neighbor->add_request(this, NeighConst::REQ_DEFAULT);
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOSurface::init_list(int /*id*/, NeighList *ptr)
+{
+  list = ptr;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOSurface::compute_peratom()
+{
+  int i, j, ii, jj, inum, jnum, a, b, itype, jtype, fluidi, fluidj;
+  double xtmp, ytmp, ztmp, rsq, Voli, Volj, rhoi, rhoj, wp;
+  double dWij[3], dWji[3], dx[3];
+  int *ilist, *jlist, *numneigh, **firstneigh;
+
+  int nlocal = atom->nlocal;
+
+  double **x = atom->x;
+  int *status = atom->rheo_status;
+  int newton = force->newton;
+  int dim = domain->dimension;
+  int *mask = atom->mask;
+  int *type = atom->type;
+  double *mass = atom->mass;
+  double *rho = atom->rho;
+  int *coordination = compute_kernel->coordination;
+
+  inum = list->inum;
+  ilist = list->ilist;
+  numneigh = list->numneigh;
+  firstneigh = list->firstneigh;
+
+  // Grow and zero arrays
+  if (nmax_store < atom->nmax)
+    grow_arrays(atom->nmax);
+
+  size_t nbytes = nmax_store * sizeof(double);
+  memset(&divr[0], 0, nbytes);
+  memset(&rsurface[0], 0, nbytes);
+  memset(&nsurface[0][0], 0, dim * nbytes);
+  memset(&gradC[0][0], 0, dim * dim * nbytes);
+  memset(&B[0][0], 0, dim * dim * nbytes);
+
+
+  // loop over neighbors to calculate the average orientation of neighbors
+  for (ii = 0; ii < inum; ii++) {
+    i = ilist[ii];
+    xtmp = x[i][0];
+    ytmp = x[i][1];
+    ztmp = x[i][2];
+
+    jlist = firstneigh[i];
+    jnum = numneigh[i];
+    itype = type[i];
+    fluidi = !(status[i] & PHASECHECK);
+
+    for (jj = 0; jj < jnum; jj++) {
+      j = jlist[jj];
+      j &= NEIGHMASK;
+
+      dx[0] = xtmp - x[j][0];
+      dx[1] = ytmp - x[j][1];
+      dx[2] = ztmp - x[j][2];
+
+      rsq = lensq3(dx);
+      if (rsq < cutsq) {
+        jtype = type[j];
+        fluidj = !(status[j] & PHASECHECK);
+
+        rhoi = rho[i];
+        rhoj = rho[j];
+
+        // Add corrections for walls
+        if (interface_flag) {
+          if (fluidi && (!fluidj)) {
+            rhoj = compute_interface->correct_rho(j, i);
+          } else if ((!fluidi) && fluidj) {
+            rhoi = compute_interface->correct_rho(i, j);
+          } else if ((!fluidi) && (!fluidj)) {
+            rhoi = rho0[itype];
+            rhoj = rho0[jtype];
+          }
+        }
+
+        Voli = mass[itype] / rhoi;
+        Volj = mass[jtype] / rhoj;
+
+        wp = compute_kernel->calc_dw_quintic(i, j, dx[0], dx[1], dx[2], sqrt(rsq), dWij, dWji);
+
+        for (a = 0; a < dim; a++) {
+          divr[i] -= dWij[a] * dx[a] * Volj;
+          gradC[i][a] += dWij[a] * Volj;
+        }
+
+        if ((j < nlocal) || newton) {
+          for (a = 0; a < dim; a++){
+            divr[j] += dWji[a] * dx[a] * Voli;
+            gradC[j][a] += dWji[a] * Voli;
+          }
+        }
+      }
+    }
+  }
+
+  // reverse gradC and divr, forward divr
+  comm_stage = 0;
+  comm_reverse = dim * dim + 1;
+  comm_forward = 1;
+  if (newton) comm->reverse_comm(this);
+  comm->forward_comm(this);
+
+  // calculate nsurface for local atoms
+  // Note, this isn't forwarded to ghosts
+  double maggC;
+  for (i = 0; i < nlocal; i++) {
+    if (mask[i] & groupbit) {
+      maggC = 0.0;
+      for (a = 0;a < dim; a++)
+        maggC += gradC[i][a] * gradC[i][a];
+      maggC = sqrt(maggC) + EPSILON;
+      maggC = 1.0 / maggC;
+      for (a = 0; a < dim; a++)
+        nsurface[i][a] = -gradC[i][a] * maggC;
+    }
+  }
+
+  // Remove surface settings and assign new values
+  int nall = nlocal + atom->nghost;
+  int test;
+
+  for (i = 0; i < nall; i++) {
+    status[i] &= SURFACEMASK;
+    if (mask[i] & groupbit) {
+      if (threshold_style == DIVR)
+        test = divr[i] < threshold_divr;
+      else
+        test = coordination[i] < threshold_z;
+
+      // Treat nonfluid particles as bulk
+      if (status[i] & PHASECHECK)
+        test = 0;
+
+      if (test) {
+        if (coordination[i] < threshold_splash)
+          status[i] |= STATUS_SPLASH;
+        else
+          status[i] |= STATUS_SURFACE;
+        rsurface[i] = 0.0;
+      } else {
+        status[i] |= STATUS_BULK;
+        rsurface[i] = cut;
+      }
+    }
+  }
+
+
+  for (ii = 0; ii < inum; ii++) {
+    i = ilist[ii];
+    xtmp = x[i][0];
+    ytmp = x[i][1];
+    ztmp = x[i][2];
+    fluidi = !(status[i] & PHASECHECK);
+
+    jlist = firstneigh[i];
+    jnum = numneigh[i];
+
+    for (jj = 0; jj < jnum; jj++) {
+      j = jlist[jj];
+      j &= NEIGHMASK;
+
+      fluidj = !(status[j] & PHASECHECK);
+
+      dx[0] = xtmp - x[j][0];
+      dx[1] = ytmp - x[j][1];
+      dx[2] = ztmp - x[j][2];
+      rsq = lensq3(dx);
+      if (rsq < cutsq) {
+        if (fluidi) {
+          if ((status[i] & STATUS_BULK) && (status[j] & STATUS_SURFACE)) {
+            status[i] &= SURFACEMASK;
+            status[i] |= STATUS_LAYER;
+          }
+
+          if (status[j] & STATUS_SURFACE)
+            rsurface[i] = MIN(rsurface[i], sqrt(rsq));
+        }
+
+        if (fluidj && (j < nlocal || newton)) {
+          if ((status[j] & STATUS_BULK) && (status[j] & PHASECHECK) && (status[i] & STATUS_SURFACE)) {
+            status[j] &= SURFACEMASK;
+            status[j] |= STATUS_LAYER;
+          }
+
+          if (status[i] & STATUS_SURFACE)
+            rsurface[j] = MIN(rsurface[j], sqrt(rsq));
+        }
+      }
+    }
+  }
+
+  // clear normal vectors for non-surface particles
+
+  for (i = 0; i < nall; i++) {
+    if (mask[i] & groupbit) {
+      if (!(status[i] & STATUS_SURFACE))
+        for (a = 0; a < dim; a++)
+          nsurface[i][a] = 0.0;
+    }
+  }
+
+  // forward/reverse status and rsurface
+  comm_stage = 1;
+  comm_reverse = 2;
+  comm_forward = 2;
+  if (newton) comm->reverse_comm(this);
+  comm->forward_comm(this);
+}
+
+/* ---------------------------------------------------------------------- */
+
+int ComputeRHEOSurface::pack_reverse_comm(int n, int first, double *buf)
+{
+  int i,a,b,k,m,last;
+  int dim = domain->dimension;
+  int *status = atom->rheo_status;
+
+  m = 0;
+  last = first + n;
+  for (i = first; i < last; i++) {
+    if (comm_stage == 0) {
+      buf[m++] = divr[i];
+      for (a = 0; a < dim; a ++ )
+        for (b = 0; b < dim; b ++)
+          buf[m++] = gradC[i][a * dim + b];
+    } else if (comm_stage == 1) {
+      buf[m++] = (double) status[i];
+      buf[m++] = rsurface[i];
+    }
+  }
+  return m;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOSurface::unpack_reverse_comm(int n, int *list, double *buf)
+{
+  int i,a,b,k,j,m;
+  int dim = domain->dimension;
+  int *status = atom->rheo_status;
+  int tmp1;
+  double tmp2;
+
+  m = 0;
+  for (i = 0; i < n; i++) {
+    j = list[i];
+    if (comm_stage == 0) {
+      divr[j] += buf[m++];
+      for (a = 0; a < dim; a ++ )
+        for (b = 0; b < dim; b ++)
+          gradC[j][a * dim + b] += buf[m++];
+    } else if (comm_stage == 1) {
+      tmp1 = (int) buf[m++];
+      if ((status[j] & STATUS_BULK) && (tmp1 & STATUS_LAYER)) {
+        status[j] &= SURFACEMASK;
+        status[j] |= STATUS_LAYER;
+      }
+      tmp2 = buf[m++];
+      rsurface[j] = MIN(rsurface[j], tmp2);
+    }
+  }
+}
+
+
+/* ---------------------------------------------------------------------- */
+
+int ComputeRHEOSurface::pack_forward_comm(int n, int *list, double *buf,
+                                        int /*pbc_flag*/, int * /*pbc*/)
+{
+  int i,j,a,b,k,m;
+  int *status = atom->rheo_status;
+  m = 0;
+
+  for (i = 0; i < n; i++) {
+    j = list[i];
+    if (comm_stage == 0) {
+      buf[m++] = divr[j];
+    } else if (comm_stage == 1) {
+      buf[m++] = (double) status[j];
+      buf[m++] = rsurface[j];
+    }
+  }
+  return m;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOSurface::unpack_forward_comm(int n, int first, double *buf)
+{
+  int i, k, a, b, m, last;
+  int *status = atom->rheo_status;
+
+  m = 0;
+  last = first + n;
+  for (i = first; i < last; i++) {
+    if (comm_stage == 0) {
+      divr[i] = buf[m++];
+    } else if (comm_stage == 1) {
+      status[i] = (int) buf[m++];
+      rsurface[i] = buf[m++];
+    }
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOSurface::grow_arrays(int nmax)
+{
+  int dim = domain->dimension;
+
+  memory->grow(divr, nmax, "rheo/surface:divr");
+  memory->grow(rsurface, nmax, "rheo/surface:rsurface");
+  memory->grow(nsurface, nmax, dim, "rheo/surface:nsurface");
+  memory->grow(B, nmax, dim * dim, "rheo/surface:B");
+  memory->grow(gradC, nmax, dim * dim, "rheo/surface:gradC");
+
+  nmax_store = nmax;
+}

src/RHEO/compute_rheo_surface.h

@@ -0,0 +1,59 @@
+/* -*- c++ -*- ----------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+#ifdef COMPUTE_CLASS
+// clang-format off
+ComputeStyle(RHEO/SURFACE,ComputeRHEOSurface)
+// clang-format on
+#else
+
+#ifndef LMP_COMPUTE_RHEO_SURFACE_H
+#define LMP_COMPUTE_RHEO_SURFACE_H
+
+#include "compute.h"
+
+namespace LAMMPS_NS {
+
+class ComputeRHEOSurface : public Compute {
+ public:
+  ComputeRHEOSurface(class LAMMPS *, int, char **);
+  ~ComputeRHEOSurface() override;
+  void init() override;
+  void init_list(int, class NeighList *) override;
+  void compute_peratom() override;
+  int pack_reverse_comm(int, int, double *) override;
+  void unpack_reverse_comm(int, int *, double *) override;
+  int pack_forward_comm(int, int *, double *, int, int *) override;
+  void unpack_forward_comm(int, int, double *) override;
+
+  double **nsurface, *rsurface, *divr;
+  class FixRHEO *fix_rheo;
+
+ private:
+  int surface_style, nmax_store, threshold_z, threshold_splash, interface_flag;
+  int threshold_style, comm_stage;
+
+  double cut, cutsq, *rho0, threshold_divr;
+  double **B, **gradC;
+
+  class NeighList *list;
+  class ComputeRHEOKernel *compute_kernel;
+  class ComputeRHEOInterface *compute_interface;
+
+  void grow_arrays(int);
+};
+
+}    // namespace LAMMPS_NS
+
+#endif
+#endif

src/RHEO/compute_rheo_vshift.cpp

@@ -0,0 +1,321 @@
+// clang-format off
+/* ----------------------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+   Contributing authors:
+   Joel Clemmer (SNL), Thomas O'Connor (CMU), Eric Palermo (CMU)
+----------------------------------------------------------------------- */
+
+#include "compute_rheo_vshift.h"
+
+#include "atom.h"
+#include "comm.h"
+#include "compute_rheo_interface.h"
+#include "compute_rheo_kernel.h"
+#include "compute_rheo_surface.h"
+#include "domain.h"
+#include "error.h"
+#include "fix_rheo.h"
+#include "force.h"
+#include "memory.h"
+#include "neighbor.h"
+#include "neigh_list.h"
+#include "neigh_request.h"
+
+#include "update.h"
+
+using namespace LAMMPS_NS;
+using namespace RHEO_NS;
+
+/* ---------------------------------------------------------------------- */
+
+ComputeRHEOVShift::ComputeRHEOVShift(LAMMPS *lmp, int narg, char **arg) :
+  Compute(lmp, narg, arg), list(nullptr), vshift(nullptr), fix_rheo(nullptr),
+  compute_kernel(nullptr), compute_interface(nullptr), compute_surface(nullptr)
+{
+  if (narg != 3) error->all(FLERR,"Illegal compute RHEO/VShift command");
+
+  comm_reverse = 3;
+  surface_flag = 0;
+
+  nmax_store = atom->nmax;
+  memory->create(vshift, nmax_store, 3, "rheo:vshift");
+}
+
+/* ---------------------------------------------------------------------- */
+
+ComputeRHEOVShift::~ComputeRHEOVShift()
+{
+  memory->destroy(vshift);
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOVShift::init()
+{
+  neighbor->add_request(this, NeighConst::REQ_DEFAULT);
+
+  surface_flag = fix_rheo->surface_flag;
+  interface_flag = fix_rheo->interface_flag;
+
+  compute_kernel = fix_rheo->compute_kernel;
+  compute_interface = fix_rheo->compute_interface;
+  compute_surface = fix_rheo->compute_surface;
+
+  rho0 = fix_rheo->rho0;
+  cut = fix_rheo->cut;
+  cutsq = cut * cut;
+  cutthird = cut / 3.0;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOVShift::init_list(int /*id*/, NeighList *ptr)
+{
+  list = ptr;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOVShift::compute_peratom()
+{
+  int i, j, a, b, ii, jj, jnum, itype, jtype;
+  int fluidi, fluidj;
+  double xtmp, ytmp, ztmp, rsq, r, rinv;
+  double w, wp, dr, w0, w4, vmag, prefactor;
+  double imass, jmass, voli, volj, rhoi, rhoj;
+  double dx[3], vi[3], vj[3];
+  int dim = domain->dimension;
+
+  int *jlist;
+  int inum, *ilist, *numneigh, **firstneigh;
+
+  int *type = atom->type;
+  int *status = atom->rheo_status;
+  int *mask = atom->mask;
+  double **x = atom->x;
+  double **v = atom->v;
+  double *rho = atom->rho;
+  double *mass = atom->mass;
+
+  int nlocal = atom->nlocal;
+  int nall = nlocal + atom->nghost;
+  int newton_pair = force->newton_pair;
+
+  inum = list->inum;
+  ilist = list->ilist;
+  numneigh = list->numneigh;
+  firstneigh = list->firstneigh;
+
+  if (nmax_store < atom->nmax) {
+    memory->grow(vshift, atom->nmax, 3, "rheo:vshift");
+    nmax_store = atom->nmax;
+  }
+
+  for (i = 0; i < nall; i++)
+    for (a = 0; a < dim; a++)
+      vshift[i][a] = 0.0;
+
+  for (a = 0; a < 3; a++) {
+    vi[a] = 0.0;
+    vj[a] = 0.0;
+  }
+
+  for (ii = 0; ii < inum; ii++) {
+    i = ilist[ii];
+    xtmp = x[i][0];
+    ytmp = x[i][1];
+    ztmp = x[i][2];
+    itype = type[i];
+    jlist = firstneigh[i];
+    jnum = numneigh[i];
+    imass = mass[itype];
+    fluidi = !(status[i] & PHASECHECK);
+
+    for (jj = 0; jj < jnum; jj++) {
+      j = jlist[jj];
+      j &= NEIGHMASK;
+
+      fluidj = !(status[j] & PHASECHECK);
+      if ((!fluidi) && (!fluidj)) continue;
+
+      // Will skip shifting in FixRHEO initial integrate, but also skip here to save time
+      if ((status[i] & STATUS_NO_SHIFT) && (status[j] & STATUS_NO_SHIFT)) continue;
+
+      dx[0] = xtmp - x[j][0];
+      dx[1] = ytmp - x[j][1];
+      dx[2] = ztmp - x[j][2];
+      rsq = dx[0] * dx[0] + dx[1] * dx[1] + dx[2] * dx[2];
+
+      if (rsq < cutsq) {
+        jtype = type[j];
+        jmass = mass[jtype];
+
+        r = sqrt(rsq);
+        rinv = 1 / r;
+
+        for (a = 0; a < dim; a++) {
+          vi[a] = v[i][a];
+          vj[a] = v[j][a];
+        }
+
+        rhoi = rho[i];
+        rhoj = rho[j];
+
+        // Add corrections for walls
+        if (interface_flag) {
+          if (fluidi && (!fluidj)) {
+            compute_interface->correct_v(vj, vi, j, i);
+            rhoj = compute_interface->correct_rho(j, i);
+          } else if ((!fluidi) && fluidj) {
+            compute_interface->correct_v(vi, vj, i, j);
+            rhoi = compute_interface->correct_rho(i, j);
+          } else if ((!fluidi) && (!fluidj)) {
+            rhoi = rho0[itype];
+            rhoj = rho0[jtype];
+          }
+        }
+
+        voli = imass / rhoi;
+        volj = jmass / rhoj;
+
+        wp = compute_kernel->calc_dw(i, j, dx[0], dx[1], dx[2], r);
+        w = compute_kernel->calc_w(i, j, dx[0], dx[1], dx[2], r);
+        w0 = compute_kernel->calc_w(i, j, 0, 0, 0, cutthird); // dx, dy, dz irrelevant
+        w4 = w * w * w * w / (w0 * w0 * w0 * w0);
+        dr = -2 * cutthird * (1 + 0.2 * w4) * wp * rinv;
+
+        if ((mask[i] & groupbit) && fluidi) {
+          vmag = sqrt(vi[0] * vi[0] + vi[1] * vi[1] + vi[2] * vi[2]);
+          prefactor = vmag * volj * dr;
+
+          vshift[i][0] += prefactor * dx[0];
+          vshift[i][1] += prefactor * dx[1];
+          vshift[i][2] += prefactor * dx[2];
+        }
+
+        if (newton_pair || j < nlocal) {
+          if ((mask[j] & groupbit) && fluidj) {
+            vmag = sqrt(vj[0] * vj[0] + vj[1] * vj[1] + vj[2] * vj[2]);
+            prefactor = vmag * voli * dr;
+
+            vshift[j][0] -= prefactor * dx[0];
+            vshift[j][1] -= prefactor * dx[1];
+            vshift[j][2] -= prefactor * dx[2];
+          }
+        }
+      }
+    }
+  }
+
+  if (newton_pair) comm->reverse_comm(this);
+}
+
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOVShift::correct_surfaces()
+{
+  if (!surface_flag) return;
+
+  int i, a, b;
+
+  int *status = atom->rheo_status;
+  int *mask = atom->mask;
+  double **nsurface = compute_surface->nsurface;
+
+  int nlocal = atom->nlocal;
+  int dim = domain->dimension;
+
+  double nx, ny, nz, vx, vy, vz, dot;
+  for (i = 0; i < nlocal; i++) {
+    if (mask[i] & groupbit) {
+
+      if (status[i] & PHASECHECK) continue;
+
+      //if ((status[i] & STATUS_SURFACE) || (status[i] & STATUS_LAYER)) {
+      if (status[i] & STATUS_SURFACE) {
+        nx = nsurface[i][0];
+        ny = nsurface[i][1];
+        vx = vshift[i][0];
+        vy = vshift[i][1];
+
+        dot = nx * vx + ny * vy;
+        if (dim == 3) {
+          nz = nsurface[i][2];
+          vz = vshift[i][2];
+          dot += nz * vz;
+        }
+
+        // Allowing shifting into the bulk
+        if (dot < 0.0) continue;
+
+        vshift[i][0] = (1 - nx * nx) * vx - nx * ny * vy;
+        vshift[i][1] = (1 - ny * ny) * vy - nx * ny * vx;
+        if (dim == 3) {
+          vshift[i][0] -= nx * nz * vz;
+          vshift[i][1] -= ny * nz * vz;
+          vshift[i][2] = (1 - nz * nz) * vz - nz * ny * vy - nx * nz * vx;
+        } else {
+          vshift[i][2] = 0.0;
+        }
+      } else if (status[i] & STATUS_SPLASH) {
+        vshift[i][0] = 0.0;
+        vshift[i][1] = 0.0;
+        vshift[i][2] = 0.0;
+      }
+    }
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+int ComputeRHEOVShift::pack_reverse_comm(int n, int first, double *buf)
+{
+  int i,m,last;
+
+  m = 0;
+  last = first + n;
+  for (i = first; i < last; i++) {
+    buf[m++] = vshift[i][0];
+    buf[m++] = vshift[i][1];
+    buf[m++] = vshift[i][2];
+  }
+  return m;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void ComputeRHEOVShift::unpack_reverse_comm(int n, int *list, double *buf)
+{
+  int i,j,m;
+
+  m = 0;
+  for (i = 0; i < n; i++) {
+    j = list[i];
+    vshift[j][0] += buf[m++];
+    vshift[j][1] += buf[m++];
+    vshift[j][2] += buf[m++];
+  }
+}
+
+/* ----------------------------------------------------------------------
+   memory usage of local atom-based array
+------------------------------------------------------------------------- */
+
+double ComputeRHEOVShift::memory_usage()
+{
+  double bytes = 3 * nmax_store * sizeof(double);
+  return bytes;
+}

src/RHEO/compute_rheo_vshift.h

@@ -0,0 +1,57 @@
+/* -*- c++ -*- ----------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+#ifdef COMPUTE_CLASS
+// clang-format off
+ComputeStyle(RHEO/VSHIFT,ComputeRHEOVShift)
+// clang-format on
+#else
+
+#ifndef LMP_COMPUTE_RHEO_VSHIFT_H
+#define LMP_COMPUTE_RHEO_VSHIFT_H
+
+#include "compute.h"
+
+namespace LAMMPS_NS {
+
+class ComputeRHEOVShift : public Compute {
+ public:
+  ComputeRHEOVShift(class LAMMPS *, int, char **);
+  ~ComputeRHEOVShift() override;
+  void init() override;
+  void init_list(int, class NeighList *) override;
+  void compute_peratom() override;
+  int pack_reverse_comm(int, int, double *) override;
+  void unpack_reverse_comm(int, int *, double *) override;
+  double memory_usage() override;
+  void correct_surfaces();
+  double **vshift;
+
+  class FixRHEO *fix_rheo;
+
+ private:
+  int nmax_store;
+  double dtv, cut, cutsq, cutthird;
+  int surface_flag, interface_flag;
+  double *rho0;
+
+  class NeighList *list;
+  class ComputeRHEOInterface *compute_interface;
+  class ComputeRHEOKernel *compute_kernel;
+  class ComputeRHEOSurface *compute_surface;
+};
+
+}    // namespace LAMMPS_NS
+
+#endif
+#endif

src/RHEO/fix_rheo.cpp

@@ -0,0 +1,515 @@
+// clang-format off
+/* ----------------------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+   Contributing authors:
+   Joel Clemmer (SNL), Thomas O'Connor (CMU), Eric Palermo (CMU)
+----------------------------------------------------------------------- */
+
+#include "fix_rheo.h"
+
+#include "atom.h"
+#include "citeme.h"
+#include "compute_rheo_grad.h"
+#include "compute_rheo_interface.h"
+#include "compute_rheo_surface.h"
+#include "compute_rheo_kernel.h"
+#include "compute_rheo_rho_sum.h"
+#include "compute_rheo_vshift.h"
+#include "domain.h"
+#include "error.h"
+#include "force.h"
+#include "memory.h"
+#include "modify.h"
+#include "update.h"
+#include "utils.h"
+
+using namespace LAMMPS_NS;
+using namespace RHEO_NS;
+using namespace FixConst;
+
+static const char cite_rheo[] =
+  "@article{PalermoInPrep,\n"
+  " journal = {in prep},\n"
+  " title = {RHEO: A Hybrid Mesh-Free Model Framework for Dynamic Multi-Phase Flows},\n"
+  " year = {2024},\n"
+  " author = {Eric T. Palermo and Ki T. Wolf and Joel T. Clemmer and Thomas C. O'Connor},\n"
+  "}\n\n";
+
+/* ---------------------------------------------------------------------- */
+
+FixRHEO::FixRHEO(LAMMPS *lmp, int narg, char **arg) :
+  Fix(lmp, narg, arg), compute_grad(nullptr), compute_kernel(nullptr), compute_surface(nullptr),
+  compute_interface(nullptr), compute_rhosum(nullptr), compute_vshift(nullptr), rho0(nullptr), csq(nullptr)
+{
+  time_integrate = 1;
+
+  viscosity_fix_defined = 0;
+  pressure_fix_defined = 0;
+  thermal_fix_defined = 0;
+  oxidation_fix_defined = 0;
+
+  thermal_flag = 0;
+  rhosum_flag = 0;
+  shift_flag = 0;
+  interface_flag = 0;
+  surface_flag = 0;
+  oxidation_flag = 0;
+  self_mass_flag = 0;
+
+  int i;
+  int n = atom->ntypes;
+  memory->create(rho0, n + 1, "rheo:rho0");
+  memory->create(csq, n + 1, "rheo:csq");
+  for (i = 1; i <= n; i++) {
+    rho0[i] = 1.0;
+    csq[i] = 1.0;
+  }
+
+  if (igroup != 0)
+    error->all(FLERR, "fix rheo command requires group all");
+
+  if (atom->pressure_flag != 1)
+    error->all(FLERR, "fix rheo command requires atom_style with pressure");
+  if (atom->rho_flag != 1)
+    error->all(FLERR, "fix rheo command requires atom_style with density");
+  if (atom->viscosity_flag != 1)
+    error->all(FLERR, "fix rheo command requires atom_style with viscosity");
+  if (atom->rheo_status_flag != 1)
+    error->all(FLERR, "fix rheo command requires atom_style with status");
+
+  if (narg < 5)
+    utils::missing_cmd_args(FLERR, "fix rheo", error);
+
+  cut = utils::numeric(FLERR, arg[3], false, lmp);
+  if (strcmp(arg[4], "quintic") == 0) {
+      kernel_style = QUINTIC;
+  } else if (strcmp(arg[4], "wendland/c4") == 0) {
+      kernel_style = WENDLANDC4;
+  } else if (strcmp(arg[4], "RK0") == 0) {
+      kernel_style = RK0;
+  } else if (strcmp(arg[4], "RK1") == 0) {
+      kernel_style = RK1;
+  } else if (strcmp(arg[4], "RK2") == 0) {
+      kernel_style = RK2;
+  } else error->all(FLERR, "Unknown kernel style {} in fix rheo", arg[4]);
+  zmin_kernel = utils::numeric(FLERR, arg[5], false, lmp);
+
+  int iarg = 6;
+  while (iarg < narg){
+    if (strcmp(arg[iarg], "shift") == 0) {
+      shift_flag = 1;
+    } else if (strcmp(arg[iarg], "thermal") == 0) {
+      thermal_flag = 1;
+    } else if (strcmp(arg[iarg], "surface/detection") == 0) {
+      surface_flag = 1;
+      if(iarg + 3 >= narg) utils::missing_cmd_args(FLERR, "fix rheo surface/detection", error);
+      if (strcmp(arg[iarg + 1], "coordination") == 0) {
+        surface_style = COORDINATION;
+        zmin_surface = utils::inumeric(FLERR, arg[iarg + 2], false, lmp);
+        zmin_splash = utils::inumeric(FLERR, arg[iarg + 3], false, lmp);
+      } else if (strcmp(arg[iarg + 1], "divergence") == 0) {
+        surface_style = DIVR;
+        divr_surface = utils::numeric(FLERR, arg[iarg + 2], false, lmp);
+        zmin_splash = utils::inumeric(FLERR, arg[iarg + 3], false, lmp);
+      } else {
+        error->all(FLERR, "Illegal surface/detection option in fix rheo, {}", arg[iarg + 1]);
+      }
+
+      iarg += 3;
+    } else if (strcmp(arg[iarg], "interface/reconstruct") == 0) {
+      interface_flag = 1;
+    } else if (strcmp(arg[iarg], "rho/sum") == 0) {
+      rhosum_flag = 1;
+    } else if (strcmp(arg[iarg], "self/mass") == 0) {
+      self_mass_flag = 1;
+    } else if (strcmp(arg[iarg], "density") == 0) {
+      if (iarg + n >= narg) utils::missing_cmd_args(FLERR, "fix rheo density", error);
+      for (i = 1; i <= n; i++)
+        rho0[i] = utils::numeric(FLERR, arg[iarg + i], false, lmp);
+      iarg += n;
+    } else if (strcmp(arg[iarg], "speed/sound") == 0) {
+      if (iarg + n >= narg) utils::missing_cmd_args(FLERR, "fix rheo speed/sound", error);
+      for (i = 1; i <= n; i++) {
+        csq[i] = utils::numeric(FLERR, arg[iarg + i], false, lmp);
+        csq[i] *= csq[i];
+      }
+      iarg += n;
+    } else {
+      error->all(FLERR, "Illegal fix rheo command: {}", arg[iarg]);
+    }
+    iarg += 1;
+  }
+
+  if (self_mass_flag && (!rhosum_flag))
+    error->all(FLERR, "Cannot use self/mass setting without rho/sum");
+
+  if (lmp->citeme) lmp->citeme->add(cite_rheo);
+}
+
+/* ---------------------------------------------------------------------- */
+
+FixRHEO::~FixRHEO()
+{
+  if (compute_kernel) modify->delete_compute("rheo_kernel");
+  if (compute_grad) modify->delete_compute("rheo_grad");
+  if (compute_interface) modify->delete_compute("rheo_interface");
+  if (compute_surface) modify->delete_compute("rheo_surface");
+  if (compute_rhosum) modify->delete_compute("rheo_rhosum");
+  if (compute_vshift) modify->delete_compute("rheo_vshift");
+
+  memory->destroy(csq);
+  memory->destroy(rho0);
+}
+
+
+/* ----------------------------------------------------------------------
+  Create necessary internal computes
+------------------------------------------------------------------------- */
+
+void FixRHEO::post_constructor()
+{
+  compute_kernel = dynamic_cast<ComputeRHEOKernel *>(modify->add_compute(
+    fmt::format("rheo_kernel all RHEO/KERNEL {}", kernel_style)));
+  compute_kernel->fix_rheo = this;
+
+  std::string cmd = "rheo_grad all RHEO/GRAD velocity rho viscosity";
+  if (thermal_flag) cmd += " energy";
+  compute_grad = dynamic_cast<ComputeRHEOGrad *>(modify->add_compute(cmd));
+  compute_grad->fix_rheo = this;
+
+  if (rhosum_flag) {
+    compute_rhosum = dynamic_cast<ComputeRHEORhoSum *>(modify->add_compute(
+      fmt::format("rheo_rhosum all RHEO/RHO/SUM {}", self_mass_flag)));
+    compute_rhosum->fix_rheo = this;
+  }
+
+  if (shift_flag) {
+    compute_vshift = dynamic_cast<ComputeRHEOVShift *>(modify->add_compute(
+      "rheo_vshift all RHEO/VSHIFT"));
+    compute_vshift->fix_rheo = this;
+  }
+
+  if (interface_flag) {
+    compute_interface = dynamic_cast<ComputeRHEOInterface *>(modify->add_compute(
+      "rheo_interface all RHEO/INTERFACE"));
+    compute_interface->fix_rheo = this;
+  }
+
+  if (surface_flag) {
+    compute_surface = dynamic_cast<ComputeRHEOSurface *>(modify->add_compute(
+      "rheo_surface all RHEO/SURFACE"));
+    compute_surface->fix_rheo = this;
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+int FixRHEO::setmask()
+{
+  int mask = 0;
+  mask |= INITIAL_INTEGRATE;
+  mask |= FINAL_INTEGRATE;
+  mask |= PRE_FORCE;
+  return mask;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEO::init()
+{
+  dtv = update->dt;
+  dtf = 0.5 * update->dt * force->ftm2v;
+
+  if (modify->get_fix_by_style("^rheo$").size() > 1)
+    error->all(FLERR, "Can only specify one instance of fix rheo");
+
+  if (atom->rheo_status_flag != 1)
+    error->all(FLERR,"fix rheo command requires atom property status");
+  if (atom->rho_flag != 1)
+    error->all(FLERR,"fix rheo command requires atom property rho");
+  if (atom->pressure_flag != 1)
+    error->all(FLERR,"fix rheo command requires atom property pressure");
+  if (atom->viscosity_flag != 1)
+    error->all(FLERR,"fix rheo command requires atom property viscosity");
+
+  if (thermal_flag) {
+    if (atom->esph_flag != 1)
+      error->all(FLERR,"fix rheo command requires atom property esph with thermal setting");
+    if (atom->temperature_flag != 1)
+      error->all(FLERR,"fix rheo command requires atom property temperature with thermal setting");
+    if (atom->heatflow_flag != 1)
+      error->all(FLERR,"fix rheo command requires atom property heatflow with thermal setting");
+    if (atom->conductivity_flag != 1)
+      error->all(FLERR,"fix rheo command requires atom property conductivity with thermal setting");
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEO::setup_pre_force(int /*vflag*/)
+{
+  // Check to confirm accessory fixes do not preceed FixRHEO
+  // Note: fixes set this flag in setup_pre_force()
+  if (viscosity_fix_defined || pressure_fix_defined || thermal_fix_defined || oxidation_fix_defined)
+    error->all(FLERR, "Fix RHEO must be defined before all other RHEO fixes");
+
+  // Calculate surfaces
+  if (surface_flag) {
+    compute_kernel->compute_coordination();
+    compute_surface->compute_peratom();
+  }
+
+  pre_force(0);
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEO::setup(int /*vflag*/)
+{
+  // Confirm all accessory fixes are defined
+  // Note: fixes set this flag in setup_pre_force()
+  if (!viscosity_fix_defined)
+    error->all(FLERR, "Missing fix rheo/viscosity");
+
+  if (!pressure_fix_defined)
+    error->all(FLERR, "Missing fix rheo/pressure");
+
+  if(thermal_flag && !thermal_fix_defined)
+    error->all(FLERR, "Missing fix rheo/thermal");
+
+  // Reset to zero for future runs
+  thermal_fix_defined = 0;
+  viscosity_fix_defined = 0;
+  pressure_fix_defined = 0;
+  oxidation_fix_defined = 0;
+
+  if (rhosum_flag)
+    compute_rhosum->compute_peratom();
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEO::initial_integrate(int /*vflag*/)
+{
+  // update v, x and rho of atoms in group
+  int i, a, b;
+  double dtfm, divu;
+
+  int *type = atom->type;
+  int *mask = atom->mask;
+  int *status = atom->rheo_status;
+  double **x = atom->x;
+  double **v = atom->v;
+  double **f = atom->f;
+  double *rho = atom->rho;
+  double *drho = atom->drho;
+  double *mass = atom->mass;
+  double *rmass = atom->rmass;
+  double **gradr = compute_grad->gradr;
+  double **gradv = compute_grad->gradv;
+  double **vshift;
+  if (shift_flag)
+    vshift = compute_vshift->vshift;
+
+  int nlocal = atom->nlocal;
+  int rmass_flag = atom->rmass_flag;
+  int dim = domain->dimension;
+
+  if (igroup == atom->firstgroup)
+    nlocal = atom->nfirst;
+
+  //Density Half-step
+  for (i = 0; i < nlocal; i++) {
+    if (status[i] & STATUS_NO_INTEGRATION) continue;
+
+    if (mask[i] & groupbit) {
+      if (rmass_flag) {
+        dtfm = dtf / rmass[i];
+      } else {
+        dtfm = dtf / mass[type[i]];
+      }
+
+      v[i][0] += dtfm * f[i][0];
+      v[i][1] += dtfm * f[i][1];
+      v[i][2] += dtfm * f[i][2];
+    }
+  }
+
+  // Update gradients and interpolate solid properties
+  compute_grad->forward_fields(); // also forwards v and rho for chi
+  if (interface_flag) {
+    // Need to save, wiped in exchange
+    compute_interface->store_forces();
+    compute_interface->compute_peratom();
+  }
+  compute_grad->compute_peratom();
+
+  // Position half-step
+  for (i = 0; i < nlocal; i++) {
+    if (mask[i] & groupbit) {
+      for (a = 0; a < dim; a++) {
+        x[i][a] += dtv * v[i][a];
+      }
+    }
+  }
+
+  // Update density using div(u)
+  if (!rhosum_flag) {
+    for (i = 0; i < nlocal; i++) {
+      if (mask[i] & groupbit) {
+        if (status[i] & STATUS_NO_INTEGRATION) continue;
+        if (status[i] & PHASECHECK) continue;
+
+        divu = 0;
+        for (a = 0; a < dim; a++) {
+          divu += gradv[i][a * (1 + dim)];
+        }
+        rho[i] += dtf * (drho[i] - rho[i] * divu);
+      }
+    }
+  }
+
+  // Shifting atoms
+  if (shift_flag) {
+    for (i = 0; i < nlocal; i++) {
+
+      if (status[i] & STATUS_NO_SHIFT) continue;
+      if (status[i] & PHASECHECK) continue;
+
+      if (mask[i] & groupbit) {
+        for (a = 0; a < dim; a++) {
+          x[i][a] += dtv * vshift[i][a];
+          for (b = 0; b < dim; b++) {
+            v[i][a] += dtv * vshift[i][b] * gradv[i][a * dim + b];
+          }
+        }
+
+        if (!rhosum_flag) {
+          if (status[i] & PHASECHECK) continue;
+          for (a = 0; a < dim; a++) {
+            rho[i] += dtv * vshift[i][a] * gradr[i][a];
+          }
+        }
+      }
+    }
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEO::pre_force(int /*vflag*/)
+{
+  compute_kernel->compute_coordination(); // Needed for rho sum
+
+  if (rhosum_flag)
+    compute_rhosum->compute_peratom();
+
+  compute_kernel->compute_peratom();
+
+  if (interface_flag) {
+    // Note on first setup, have no forces for pressure to reference
+    compute_interface->compute_peratom();
+  }
+
+  // No need to forward v, rho, or T for compute_grad since already done
+  compute_grad->compute_peratom();
+  compute_grad->forward_gradients();
+
+  if (shift_flag)
+    compute_vshift->compute_peratom();
+
+  // Remove temporary options
+  int *mask = atom->mask;
+  int *status = atom->rheo_status;
+  int nall = atom->nlocal + atom->nghost;
+  for (int i = 0; i < nall; i++)
+    if (mask[i] & groupbit)
+      status[i] &= OPTIONSMASK;
+
+  // Calculate surfaces, update status
+  if (surface_flag) {
+    compute_surface->compute_peratom();
+    if (shift_flag)
+      compute_vshift->correct_surfaces();
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEO::final_integrate()
+{
+  int nlocal = atom->nlocal;
+  if (igroup == atom->firstgroup)
+    nlocal = atom->nfirst;
+
+  double dtfm, divu;
+  int i, a;
+
+  double **x = atom->x;
+  double **v = atom->v;
+  double **f = atom->f;
+  double **gradv = compute_grad->gradv;
+  double *rho = atom->rho;
+  double *drho = atom->drho;
+  double *mass = atom->mass;
+  double *rmass = atom->rmass;
+  int *type = atom->type;
+  int *mask = atom->mask;
+  int *status = atom->rheo_status;
+
+  int rmass_flag = atom->rmass_flag;
+  int dim = domain->dimension;
+
+  // Update velocity
+  for (i = 0; i < nlocal; i++) {
+    if (mask[i] & groupbit) {
+      if (status[i] & STATUS_NO_INTEGRATION) continue;
+
+      if (rmass_flag) {
+        dtfm = dtf / rmass[i];
+      } else {
+        dtfm = dtf / mass[type[i]];
+      }
+
+      for (a = 0; a < dim; a++) {
+        v[i][a] += dtfm * f[i][a];
+      }
+    }
+  }
+
+  // Update density using divu
+  if (!rhosum_flag) {
+    for (i = 0; i < nlocal; i++) {
+      if (mask[i] & groupbit) {
+        if (status[i] & STATUS_NO_INTEGRATION) continue;
+        if (status[i] & PHASECHECK) continue;
+
+        divu = 0;
+        for (a = 0; a < dim; a++) {
+          divu += gradv[i][a * (1 + dim)];
+        }
+        rho[i] += dtf * (drho[i] - rho[i] * divu);
+      }
+    }
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEO::reset_dt()
+{
+  dtv = update->dt;
+  dtf = 0.5 * update->dt * force->ftm2v;
+}

src/RHEO/fix_rheo.h

@@ -0,0 +1,108 @@
+/* -*- c++ -*- ----------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+#ifdef FIX_CLASS
+// clang-format off
+FixStyle(rheo,FixRHEO)
+// clang-format on
+#else
+
+#ifndef LMP_FIX_RHEO_H
+#define LMP_FIX_RHEO_H
+
+#include "fix.h"
+
+namespace LAMMPS_NS {
+
+class FixRHEO : public Fix {
+ public:
+  FixRHEO(class LAMMPS *, int, char **);
+  ~FixRHEO() override;
+  int setmask() override;
+  void post_constructor() override;
+  void init() override;
+  void setup_pre_force(int) override;
+  void setup(int) override;
+  void pre_force(int) override;
+  void initial_integrate(int) override;
+  void final_integrate() override;
+  void reset_dt() override;
+
+  // Model parameters
+  double cut;
+  double *rho0, *csq;
+  int self_mass_flag;
+  int zmin_kernel, zmin_surface, zmin_splash;
+  int kernel_style, surface_style;
+  double divr_surface;
+
+  // Accessory fixes/computes
+  int thermal_flag;
+  int rhosum_flag;
+  int shift_flag;
+  int interface_flag;
+  int surface_flag;
+  int oxidation_flag;
+
+  int viscosity_fix_defined;
+  int pressure_fix_defined;
+  int thermal_fix_defined;
+  int oxidation_fix_defined;
+
+  class ComputeRHEOGrad *compute_grad;
+  class ComputeRHEOKernel *compute_kernel;
+  class ComputeRHEOInterface *compute_interface;
+  class ComputeRHEOSurface *compute_surface;
+  class ComputeRHEORhoSum *compute_rhosum;
+  class ComputeRHEOVShift *compute_vshift;
+
+ protected:
+  double dtv, dtf;
+};
+
+namespace RHEO_NS {
+
+  enum {QUINTIC, WENDLANDC4, RK0, RK1, RK2};
+  enum {COORDINATION, DIVR};
+
+  // Status variables
+  enum Status{
+    // Phase status
+    STATUS_SOLID = 1 << 0,
+    // Gap for future phase: STATUS_ = 1 << 1,
+
+    // Surface status
+    STATUS_BULK = 1 << 2,
+    STATUS_LAYER = 1 << 3,
+    STATUS_SURFACE = 1 << 4,
+    STATUS_SPLASH = 1 << 5,
+
+    // Temporary status options - reset in preforce
+    STATUS_NO_SHIFT = 1 << 6,
+    STATUS_NO_INTEGRATION = 1 << 7,
+    STATUS_FREEZING = 1 << 8,
+    STATUS_MELTING = 1 << 9
+  };
+
+  // Masks and their inverses
+  #define PHASEMASK 0xFFFFFFFC     // 11111111111111111111111111111100
+  #define PHASECHECK 0x00000003    // 00000000000000000000000000000011
+  #define SURFACEMASK 0xFFFFFFC3   // 11111111111111111111111111000011
+  #define SURFACECHECK 0x0000003C  // 00000000000000000000000000111100
+  #define OPTIONSMASK 0xFFFFFC3F   // 11111111111111111111110000111111
+
+}    // namespace RHEO_NS
+}    // namespace LAMMPS_NS
+
+#endif
+#endif

src/RHEO/fix_rheo_oxidation.cpp

@@ -0,0 +1,296 @@
+// clang-format off
+/* ----------------------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+   Contributing authors:
+   Joel Clemmer (SNL)
+----------------------------------------------------------------------- */
+
+#include "fix_rheo_oxidation.h"
+
+#include "atom.h"
+#include "atom_vec.h"
+#include "citeme.h"
+#include "comm.h"
+#include "compute_rheo_surface.h"
+#include "error.h"
+#include "fix_rheo.h"
+#include "force.h"
+#include "modify.h"
+#include "neighbor.h"
+#include "neigh_list.h"
+#include "neigh_request.h"
+#include "update.h"
+
+using namespace LAMMPS_NS;
+using namespace RHEO_NS;
+using namespace FixConst;
+enum {NONE, CONSTANT};
+
+static const char cite_rheo_oxide[] =
+  "@article{ApplMathModel.130.310,\n"
+  " title = {A hybrid smoothed-particle hydrodynamics model of oxide skins on molten aluminum},\n"
+  " journal = {Applied Mathematical Modelling},\n"
+  " volume = {130},\n"
+  " pages = {310-326},\n"
+  " year = {2024},\n"
+  " issn = {0307-904X},\n"
+  " doi = {https://doi.org/10.1016/j.apm.2024.02.027},\n"
+  " author = {Joel T. Clemmer and Flint Pierce and Thomas C. O'Connor and Thomas D. Nevins and Elizabeth M.C. Jones and Jeremy B. Lechman and John Tencer},\n"
+  "}\n\n";
+
+/* ---------------------------------------------------------------------- */
+
+FixRHEOOxidation::FixRHEOOxidation(LAMMPS *lmp, int narg, char **arg) :
+  Fix(lmp, narg, arg), compute_surface(nullptr), fix_rheo(nullptr)
+{
+  if (narg != 6) error->all(FLERR,"Illegal fix command");
+
+  force_reneighbor = 1;
+  next_reneighbor = -1;
+  comm_forward = 3;
+
+  cut = utils::numeric(FLERR, arg[3], false, lmp);
+  if (cut <= 0.0) error->all(FLERR, "Illegal bond cutoff {} in fix rheo/oxidation", cut);
+
+  btype = utils::inumeric(FLERR, arg[4], false, lmp);
+  if (btype < 1 || btype > atom->nbondtypes) error->all(FLERR, "Illegal value {} for bond type in fix rheo/oxidation", btype);
+
+  rsurf = utils::numeric(FLERR, arg[5], false, lmp);
+  if (rsurf <= 0.0) error->all(FLERR, "Illegal surface distance {} in fix rheo/oxidation", cut);
+
+  cutsq = cut * cut;
+
+  if (lmp->citeme) lmp->citeme->add(cite_rheo_oxide);
+}
+
+/* ---------------------------------------------------------------------- */
+
+FixRHEOOxidation::~FixRHEOOxidation()
+{
+}
+
+/* ---------------------------------------------------------------------- */
+
+int FixRHEOOxidation::setmask()
+{
+  int mask = 0;
+  mask |= POST_INTEGRATE;
+  mask |= PRE_FORCE;
+  mask |= POST_FORCE;
+  return mask;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEOOxidation::init()
+{
+  auto fixes = modify->get_fix_by_style("^rheo$");
+  if (fixes.size() == 0) error->all(FLERR, "Need to define fix rheo to use fix rheo/oxidation");
+  fix_rheo = dynamic_cast<FixRHEO *>(fixes[0]);
+
+  if (cut > fix_rheo->cut)
+    error->all(FLERR, "Bonding length exceeds kernel cutoff");
+
+  if (rsurf >= fix_rheo->cut)
+    error->all(FLERR, "Surface distance must be less than kernel cutoff");
+
+  if (!force->bond) error->all(FLERR, "Must define a bond style with fix rheo/oxidation");
+  if (!atom->avec->bonds_allow) error->all(FLERR, "Fix rheo/oxidation requires atom bonds");
+
+  int tmp1, tmp2;
+  index_nb = atom->find_custom("shell_nbond", tmp1, tmp2);
+  if (index_nb == -1)
+    error->all(FLERR, "Must use bond style rheo/shell to use fix rheo/oxidation");
+  nbond = atom->ivector[index_nb];
+
+  // need a half neighbor list
+  auto req = neighbor->add_request(this, NeighConst::REQ_FULL);
+  req->set_cutoff(cut);
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEOOxidation::init_list(int /*id*/, NeighList *ptr)
+{
+  list = ptr;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEOOxidation::setup_pre_force(int /*vflag*/)
+{
+  // Not strictly required that this fix be after FixRHEO,
+  // but enforce to be consistent with other RHEO fixes
+  fix_rheo->oxidation_fix_defined = 1;
+
+  if (!fix_rheo->surface_flag) error->all(FLERR,
+      "fix rheo/oxidation requires surface calculation in fix rheo");
+  compute_surface = fix_rheo->compute_surface;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEOOxidation::pre_force(int /*vflag*/)
+{
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEOOxidation::post_integrate()
+{
+  int i, j, n, ii, jj, inum, jnum, bflag, fluidi, fluidj;
+  int *ilist, *jlist, *numneigh, **firstneigh;
+  double delx, dely, delz, rsq;
+  tagint tagi, tagj;
+
+  int nlocal = atom->nlocal;
+  int newton_bond = force->newton_bond;
+
+  tagint *tag = atom->tag;
+  tagint **bond_atom = atom->bond_atom;
+  int **bond_type = atom->bond_type;
+  int *num_bond = atom->num_bond;
+  int *mask = atom->mask;
+  int *status = atom->rheo_status;
+  double *rsurface = compute_surface->rsurface;
+  double **x = atom->x;
+
+  inum = list->inum;
+  ilist = list->ilist;
+  numneigh = list->numneigh;
+  firstneigh = list->firstneigh;
+
+  // Forward positions (after inititial integrate, before comm)
+  // Note: surface designation lags one timestep, acceptable error
+  comm->forward_comm(this);
+
+  int added_bonds = 0;
+  // loop over neighbors of my atoms
+  for (ii = 0; ii < inum; ii++) {
+    i = ilist[ii];
+    if (!(mask[i] & groupbit)) continue;
+
+    // Exclude particles that aren't solid or surface
+    fluidi = !(status[i] & PHASECHECK);
+    if (fluidi && (rsurface[i] > rsurf)) continue;
+
+    tagi = tag[i];
+
+    jlist = firstneigh[i];
+    jnum = numneigh[i];
+
+    for (jj = 0; jj < jnum; jj++) {
+      j = jlist[jj];
+      j &= NEIGHMASK;
+      if (!(mask[j] & groupbit)) continue;
+
+      fluidj = !(status[j] & PHASECHECK);
+      if (fluidj && (rsurface[j] > rsurf)) continue;
+
+      // Skip solid-solid, leaves surface-surface or surface-solid
+      if ((!fluidi) && (!fluidj)) continue;
+
+      tagj = tag[j];
+
+      // Ensure pair is always ordered to ensure numerical operations
+      // are identical to minimize the possibility that a bond straddling
+      // an mpi grid (newton off) isn't created on one proc but not the other
+      if (tagi < tagj) {
+        delx = x[i][0] - x[j][0];
+        dely = x[i][1] - x[j][1];
+        delz = x[i][2] - x[j][2];
+      } else {
+        delx = x[j][0] - x[i][0];
+        dely = x[j][1] - x[i][1];
+        delz = x[j][2] - x[i][2];
+      }
+      rsq = delx * delx + dely * dely + delz * delz;
+      if (rsq > cutsq) continue;
+
+      // Check if already have an oxide bond
+      bflag = 0;
+      for (n = 0; n < num_bond[i]; n++) {
+        if (bond_type[i][n] == btype && bond_atom[i][n] == tagj) {
+          bflag = 1;
+          break;
+        }
+      }
+      if (bflag) continue;
+
+      added_bonds += 1;
+
+      // Add bonds to owned atoms
+      // If newton bond off, add to both, otherwise add to whichever has a smaller tag
+
+      if (!newton_bond || (tagi < tagj)) {
+        if (num_bond[i] == atom->bond_per_atom)
+          error->one(FLERR,"New bond exceeded bonds per atom in fix rheo/oxidation for atom {}", tagi);
+        bond_type[i][num_bond[i]] = btype;
+        bond_atom[i][num_bond[i]] = tagj;
+        num_bond[i]++;
+      }
+    }
+  }
+
+  int added_bonds_all;
+  MPI_Allreduce(&added_bonds, &added_bonds_all, 1, MPI_INT, MPI_SUM, world);
+
+  if (added_bonds_all > 0)
+    next_reneighbor = update->ntimestep;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEOOxidation::post_force(int /*vflag*/)
+{
+  int *status = atom->rheo_status;
+  int *num_bond = atom->num_bond;
+  for (int i = 0; i < atom->nlocal; i++)
+    if (num_bond[i] != 0)
+      status[i] |= STATUS_NO_SHIFT;
+}
+
+/* ---------------------------------------------------------------------- */
+
+int FixRHEOOxidation::pack_forward_comm(int n, int *list, double *buf,
+                                        int /*pbc_flag*/, int * /*pbc*/)
+{
+  int i, j, k, m;
+  double **x = atom->x;
+  m = 0;
+
+  for (i = 0; i < n; i++) {
+    j = list[i];
+    buf[m++] = x[j][0];
+    buf[m++] = x[j][1];
+    buf[m++] = x[j][2];
+  }
+  return m;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEOOxidation::unpack_forward_comm(int n, int first, double *buf)
+{
+  int i, k, m, last;
+  double **x = atom->x;
+  m = 0;
+  last = first + n;
+  for (i = first; i < last; i++) {
+    x[i][0] = buf[m++];
+    x[i][1] = buf[m++];
+    x[i][2] = buf[m++];
+  }
+}

src/RHEO/fix_rheo_oxidation.h

@@ -0,0 +1,57 @@
+/* -*- c++ -*- ----------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+#ifdef FIX_CLASS
+// clang-format off
+FixStyle(rheo/oxidation,FixRHEOOxidation)
+// clang-format on
+#else
+
+#ifndef LMP_FIX_RHEO_OXIDATION_H
+#define LMP_FIX_RHEO_OXIDATION_H
+
+#include "fix.h"
+
+#include <vector>
+
+namespace LAMMPS_NS {
+
+class FixRHEOOxidation : public Fix {
+ public:
+  FixRHEOOxidation(class LAMMPS *, int, char **);
+  ~FixRHEOOxidation() override;
+  int setmask() override;
+  void init() override;
+  void init_list(int, class NeighList *) override;
+  void setup_pre_force(int) override;
+  void post_integrate() override;
+  void pre_force(int) override;
+  void post_force(int) override;
+  int pack_forward_comm(int, int *, double *, int, int *) override;
+  void unpack_forward_comm(int, int, double *) override;
+  int *nbond;
+  double rsurf, cut;
+
+ private:
+  int btype, index_nb;
+  double cutsq;
+
+  class NeighList *list;
+  class ComputeRHEOSurface *compute_surface;
+  class FixRHEO *fix_rheo;
+};
+
+}    // namespace LAMMPS_NS
+
+#endif
+#endif

src/RHEO/fix_rheo_pressure.cpp

@@ -0,0 +1,254 @@
+// clang-format off
+/* ----------------------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+   Contributing authors:
+   Joel Clemmer (SNL), Thomas O'Connor (CMU)
+----------------------------------------------------------------------- */
+
+#include "fix_rheo_pressure.h"
+
+#include "atom.h"
+#include "comm.h"
+#include "domain.h"
+#include "error.h"
+#include "fix_rheo.h"
+#include "memory.h"
+#include "modify.h"
+#include "update.h"
+
+#include <cmath>
+
+using namespace LAMMPS_NS;
+using namespace FixConst;
+enum {NONE, LINEAR, CUBIC, TAITWATER, TAITGENERAL};
+
+static constexpr double SEVENTH = 1.0 / 7.0;
+
+/* ---------------------------------------------------------------------- */
+
+FixRHEOPressure::FixRHEOPressure(LAMMPS *lmp, int narg, char **arg) :
+  Fix(lmp, narg, arg), fix_rheo(nullptr), rho0(nullptr), csq(nullptr), rho0inv(nullptr), csqinv(nullptr), c_cubic(nullptr), tpower(nullptr), pbackground(nullptr), pressure_style(nullptr)
+{
+  if (narg < 4) error->all(FLERR,"Illegal fix command");
+
+  comm_forward = 1;
+
+  // Currently can only have one instance of fix rheo/pressure
+  if (igroup != 0)
+    error->all(FLERR,"fix rheo/pressure command requires group all");
+
+  int i, nlo, nhi;
+  int n = atom->ntypes;
+  memory->create(pressure_style, n + 1, "rheo:pressure_style");
+  memory->create(c_cubic, n + 1, "rheo:c_cubic");
+  memory->create(tpower, n + 1, "rheo:tpower");
+  memory->create(pbackground, n + 1, "rheo:pbackground");
+  for (i = 1; i <= n; i++) pressure_style[i] = NONE;
+
+  int iarg = 3;
+  while (iarg < narg) {
+    utils::bounds(FLERR, arg[iarg], 1, n, nlo, nhi, error);
+
+    if (iarg + 1 >= narg) utils::missing_cmd_args(FLERR, "fix rheo/pressure", error);
+
+    if (strcmp(arg[iarg + 1], "linear") == 0) {
+      for (i = nlo; i <= nhi; i++)
+        pressure_style[i] = LINEAR;
+    } else if (strcmp(arg[iarg + 1], "tait/water") == 0) {
+      for (i = nlo; i <= nhi; i++)
+        pressure_style[i] = TAITWATER;
+    } else if (strcmp(arg[iarg + 1], "tait/general") == 0) {
+      if (iarg + 3 >= narg) utils::missing_cmd_args(FLERR, "fix rheo/pressure tait", error);
+
+      double tpower_one = utils::numeric(FLERR, arg[iarg + 2], false, lmp);
+      double pbackground_one = utils::numeric(FLERR, arg[iarg + 3], false, lmp);
+      iarg += 2;
+
+      for (i = nlo; i <= nhi; i++) {
+        pressure_style[i] = TAITGENERAL;
+        tpower[i] = tpower_one;
+        pbackground[i] = pbackground_one;
+      }
+    } else if (strcmp(arg[iarg + 1], "cubic") == 0) {
+      if (iarg + 2 >= narg) utils::missing_cmd_args(FLERR, "fix rheo/pressure cubic", error);
+
+      double c_cubic_one = utils::numeric(FLERR, arg[iarg + 2], false, lmp);
+      iarg += 1;
+
+      for (i = nlo; i <= nhi; i++) {
+        pressure_style[i] = CUBIC;
+        c_cubic[i] = c_cubic_one;
+      }
+    } else {
+      error->all(FLERR,"Illegal fix command, {}", arg[iarg]);
+    }
+    iarg += 2;
+  }
+
+  for (i = 1; i <= n; i++)
+    if (pressure_style[i] == NONE)
+      error->all(FLERR,"Must specify pressure for atom type {} in fix/rheo/pressure", i);
+}
+
+/* ---------------------------------------------------------------------- */
+
+FixRHEOPressure::~FixRHEOPressure()
+{
+  memory->destroy(pressure_style);
+  memory->destroy(csqinv);
+  memory->destroy(rho0inv);
+  memory->destroy(c_cubic);
+  memory->destroy(tpower);
+  memory->destroy(pbackground);
+}
+
+/* ---------------------------------------------------------------------- */
+
+int FixRHEOPressure::setmask()
+{
+  int mask = 0;
+  mask |= PRE_FORCE;
+  return mask;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEOPressure::init()
+{
+  auto fixes = modify->get_fix_by_style("^rheo$");
+  if (fixes.size() == 0) error->all(FLERR, "Need to define fix rheo to use fix rheo/pressure");
+  fix_rheo = dynamic_cast<FixRHEO *>(fixes[0]);
+
+  csq = fix_rheo->csq;
+  rho0 = fix_rheo->rho0;
+
+  int n = atom->ntypes;
+  memory->create(csqinv, n + 1, "rheo:rho0inv");
+  memory->create(rho0inv, n + 1, "rheo:rho0inv");
+  for (int i = 0; i <= n; i++) {
+    csqinv[i] = 1.0 / csq[i];
+    rho0inv[i] = 1.0 / rho0[i];
+  }
+
+  if (modify->get_fix_by_style("rheo/pressure").size() > 1)
+    error->all(FLERR, "Can only specify one instance of fix rheo/pressure");
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEOPressure::setup_pre_force(int /*vflag*/)
+{
+  fix_rheo->pressure_fix_defined = 1;
+  pre_force(0);
+}
+
+/* ----------------------------------------------------------------------
+  Update (and forward) pressure every timestep
+------------------------------------------------------------------------- */
+
+void FixRHEOPressure::pre_force(int /*vflag*/)
+{
+  int i;
+  double dr, rr3, rho_ratio;
+
+  int *mask = atom->mask;
+  int *type = atom->type;
+  double *rho = atom->rho;
+  double *pressure = atom->pressure;
+
+  int nlocal = atom->nlocal;
+
+  for (i = 0; i < nlocal; i++)
+    if (mask[i] & groupbit)
+      pressure[i] = calc_pressure(rho[i], type[i]);
+
+  if (comm_forward) comm->forward_comm(this);
+}
+
+/* ---------------------------------------------------------------------- */
+
+int FixRHEOPressure::pack_forward_comm(int n, int *list, double *buf,
+                                        int /*pbc_flag*/, int * /*pbc*/)
+{
+  int i,j,k,m;
+  double *pressure = atom->pressure;
+  m = 0;
+
+  for (i = 0; i < n; i++) {
+    j = list[i];
+    buf[m++] = pressure[j];
+  }
+  return m;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEOPressure::unpack_forward_comm(int n, int first, double *buf)
+{
+  int i, k, m, last;
+  double *pressure = atom->pressure;
+
+  m = 0;
+  last = first + n;
+  for (i = first; i < last; i++) {
+    pressure[i] = buf[m++];
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+double FixRHEOPressure::calc_pressure(double rho, int type)
+{
+  double p, dr, rr3, rho_ratio;
+
+  if (pressure_style[type] == LINEAR) {
+    p = csq[type] * (rho - rho0[type]);
+  } else if (pressure_style[type] == CUBIC) {
+    dr = rho - rho0[type];
+    p = csq[type] * (dr + c_cubic[type] * dr * dr * dr);
+  } else if (pressure_style[type] == TAITWATER) {
+    rho_ratio = rho * rho0inv[type];
+    rr3 = rho_ratio * rho_ratio * rho_ratio;
+    p = csq[type] * rho0[type] * SEVENTH * (rr3 * rr3 * rho_ratio - 1.0);
+  } else if (pressure_style[type] == TAITGENERAL) {
+    rho_ratio = rho * rho0inv[type];
+    p = csq[type] * rho0[type] * (pow(rho_ratio, tpower[type]) - 1.0) / tpower[type];
+    p += pbackground[type];
+  }
+  return p;
+}
+
+/* ---------------------------------------------------------------------- */
+
+double FixRHEOPressure::calc_rho(double p, int type)
+{
+  double rho, dr, rr3, rho_ratio;
+
+  if (pressure_style[type] == LINEAR) {
+    rho = csqinv[type] * p + rho0[type];
+  } else if (pressure_style[type] == CUBIC) {
+    error->one(FLERR, "Rho calculation from pressure not yet supported for cubic pressure equation");
+  } else if (pressure_style[type] == TAITWATER) {
+    rho = pow(7.0 * p + csq[type] * rho0[type], SEVENTH);
+    rho *= pow(rho0[type], 6.0 * SEVENTH);
+    rho *= pow(csq[type], -SEVENTH);
+  } else if (pressure_style[type] == TAITGENERAL) {
+    p -= pbackground[type];
+    rho = pow(tpower[type] * p + csq[type] * rho0[type], 1.0 / tpower[type]);
+    rho *= pow(rho0[type], 1.0 - 1.0 / tpower[type]);
+    rho *= pow(csq[type], -1.0 / tpower[type]);
+  }
+  return rho;
+}

src/RHEO/fix_rheo_pressure.h

@@ -0,0 +1,50 @@
+/* -*- c++ -*- ----------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+#ifdef FIX_CLASS
+// clang-format off
+FixStyle(rheo/pressure,FixRHEOPressure)
+// clang-format on
+#else
+
+#ifndef LMP_FIX_RHEO_PRESSURE_H
+#define LMP_FIX_RHEO_PRESSURE_H
+
+#include "fix.h"
+
+namespace LAMMPS_NS {
+
+class FixRHEOPressure : public Fix {
+ public:
+  FixRHEOPressure(class LAMMPS *, int, char **);
+  ~FixRHEOPressure() override;
+  int setmask() override;
+  void init() override;
+  void setup_pre_force(int) override;
+  void pre_force(int) override;
+  int pack_forward_comm(int, int *, double *, int, int *) override;
+  void unpack_forward_comm(int, int, double *) override;
+  double calc_pressure(double, int);
+  double calc_rho(double, int);
+
+ private:
+  double *c_cubic, *csq, *csqinv, *rho0, *rho0inv, *tpower, *pbackground;
+  int *pressure_style;
+
+  class FixRHEO *fix_rheo;
+};
+
+}    // namespace LAMMPS_NS
+
+#endif
+#endif

src/RHEO/fix_rheo_thermal.cpp

@@ -0,0 +1,786 @@
+// clang-format off
+/* ----------------------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+   Contributing authors:
+   Joel Clemmer (SNL)
+----------------------------------------------------------------------- */
+
+#include "fix_rheo_thermal.h"
+
+#include "atom.h"
+#include "atom_vec.h"
+#include "citeme.h"
+#include "comm.h"
+#include "compute_rheo_grad.h"
+#include "compute_rheo_vshift.h"
+#include "domain.h"
+#include "error.h"
+#include "fix_rheo.h"
+#include "fix_bond_history.h"
+#include "fix_update_special_bonds.h"
+#include "force.h"
+#include "math_extra.h"
+#include "memory.h"
+#include "modify.h"
+#include "neighbor.h"
+#include "neigh_list.h"
+#include "neigh_request.h"
+#include "pair.h"
+#include "update.h"
+
+using namespace LAMMPS_NS;
+using namespace RHEO_NS;
+using namespace FixConst;
+enum {NONE, CONSTANT};
+
+static const char cite_rheo_oxide[] =
+  "@article{ApplMathModel.130.310,\n"
+  " title = {A hybrid smoothed-particle hydrodynamics model of oxide skins on molten aluminum},\n"
+  " journal = {Applied Mathematical Modelling},\n"
+  " volume = {130},\n"
+  " pages = {310-326},\n"
+  " year = {2024},\n"
+  " issn = {0307-904X},\n"
+  " doi = {https://doi.org/10.1016/j.apm.2024.02.027},\n"
+  " author = {Joel T. Clemmer and Flint Pierce and Thomas C. O'Connor and Thomas D. Nevins and Elizabeth M.C. Jones and Jeremy B. Lechman and John Tencer},\n"
+  "}\n\n";
+
+/* ---------------------------------------------------------------------- */
+
+FixRHEOThermal::FixRHEOThermal(LAMMPS *lmp, int narg, char **arg) :
+  Fix(lmp, narg, arg), fix_rheo(nullptr), compute_grad(nullptr), compute_vshift(nullptr),
+  Tc(nullptr), kappa(nullptr), cv(nullptr), L(nullptr),
+  Tc_style(nullptr), kappa_style(nullptr), cv_style(nullptr), L_style(nullptr),
+  fix_update_special_bonds(nullptr)
+{
+  if (narg < 4) error->all(FLERR,"Illegal fix command");
+
+  force_reneighbor = 1;
+  next_reneighbor = -1;
+  cut_bond = 0;
+  comm_forward = 0;
+
+  // Currently can only have one instance of fix rheo/thermal
+  if (igroup != 0)
+    error->all(FLERR,"fix rheo/thermal command requires group all");
+
+  int i, nlo, nhi;
+  int n = atom->ntypes;
+
+  memory->create(Tc_style, n + 1, "rheo:Tc_style");
+  memory->create(kappa_style, n + 1, "rheo:kappa_style");
+  memory->create(cv_style, n + 1, "rheo:cv_style");
+  memory->create(L_style, n + 1, "rheo:L_style");
+
+  memory->create(Tc, n + 1, "rheo:Tc");
+  memory->create(kappa, n + 1, "rheo:kappa");
+  memory->create(cv, n + 1, "rheo:cv");
+  memory->create(L, n + 1, "rheo:L");
+
+  for (i = 1; i <= n; i++) {
+    Tc_style[i] = NONE;
+    kappa_style[i] = NONE;
+    cv_style[i] = NONE;
+    L_style[i] = NONE;
+  }
+
+  int iarg = 3;
+  while (iarg < narg) {
+    if (strcmp(arg[iarg],"conductivity") == 0) {
+      if (iarg + 2 >= narg) utils::missing_cmd_args(FLERR, "fix rheo/thermal conductivity", error);
+      utils::bounds(FLERR, arg[iarg + 1], 1, n, nlo, nhi, error);
+
+      // Conductivity arguments
+      if (strcmp(arg[iarg + 2], "constant") == 0) {
+        if (iarg + 3 >= narg) utils::missing_cmd_args(FLERR, "fix rheo/thermal conductivity constant", error);
+
+        double kappa_one = utils::numeric(FLERR, arg[iarg + 3], false, lmp);
+        if (kappa_one < 0.0) error->all(FLERR, "The conductivity must be positive");
+        iarg += 2;
+
+        for (i = nlo; i <= nhi; i++) {
+          kappa_style[i] = CONSTANT;
+          kappa[i] = kappa_one;
+        }
+      } else {
+        error->all(FLERR,"Illegal fix command, {}", arg[iarg + 2]);
+      }
+
+      iarg += 2;
+    } else if (strcmp(arg[iarg], "specific/heat") == 0) {
+      if (iarg + 2 >= narg) utils::missing_cmd_args(FLERR, "fix rheo/thermal specific/heat", error);
+      utils::bounds(FLERR, arg[iarg + 1], 1, n, nlo, nhi, error);
+
+      // Cv arguments
+      if (strcmp(arg[iarg + 2], "constant") == 0) {
+        if (iarg + 3 >= narg) utils::missing_cmd_args(FLERR, "fix rheo/thermal specific/heat constant", error);
+
+        double cv_one = utils::numeric(FLERR, arg[iarg + 3], false, lmp);
+        if (cv_one < 0.0) error->all(FLERR, "The specific heat must be positive");
+        iarg += 2;
+
+        for (i = nlo; i <= nhi; i++) {
+          cv_style[i] = CONSTANT;
+          cv[i] = cv_one;
+        }
+
+      } else {
+        error->all(FLERR,"Illegal fix command, {}", arg[iarg + 2]);
+      }
+
+      iarg += 2;
+    } else if (strcmp(arg[iarg], "Tfreeze") == 0) {
+      if (iarg + 2 >= narg) utils::missing_cmd_args(FLERR, "fix rheo/thermal Tfreeze", error);
+      utils::bounds(FLERR, arg[iarg + 1], 1, n, nlo, nhi, error);
+
+      // T freeze arguments
+      if (strcmp(arg[iarg + 2], "constant") == 0) {
+        if (iarg + 3 >= narg) utils::missing_cmd_args(FLERR, "fix rheo/thermal Tfreeze constant", error);
+
+        double Tc_one = utils::numeric(FLERR, arg[iarg + 3], false, lmp);
+        iarg += 2;
+
+        for (i = nlo; i <= nhi; i++) {
+          Tc_style[i] = CONSTANT;
+          Tc[i] = Tc_one;
+        }
+
+      } else {
+        error->all(FLERR, "Illegal fix command, {}", arg[iarg + 2]);
+      }
+
+      iarg += 2;
+    } else if (strcmp(arg[iarg], "latent/heat") == 0) {
+      if (iarg + 2 >= narg) utils::missing_cmd_args(FLERR, "fix rheo/thermal latent/heat", error);
+      utils::bounds(FLERR, arg[iarg + 1], 1, n, nlo, nhi, error);
+
+      // Cv arguments
+      if (strcmp(arg[iarg + 2], "constant") == 0) {
+        if (iarg + 3 >= narg) utils::missing_cmd_args(FLERR, "fix rheo/thermal latent/heat constant", error);
+
+        double L_one = utils::numeric(FLERR, arg[iarg + 3], false, lmp);
+        if (L_one < 0.0) error->all(FLERR, "The latent heat must be positive");
+        iarg += 2;
+
+        for (i = nlo; i <= nhi; i++) {
+          L_style[i] = CONSTANT;
+          L[i] = L_one;
+        }
+
+      } else {
+        error->all(FLERR,"Illegal fix command, {}", arg[iarg + 2]);
+      }
+
+      iarg += 2;
+    } else if (strcmp(arg[iarg], "react") == 0) {
+      if (iarg + 2 >= narg) utils::missing_cmd_args(FLERR, "fix rheo/thermal react", error);
+      cut_bond = utils::numeric(FLERR, arg[iarg + 1], false, lmp);
+      btype = utils::numeric(FLERR, arg[iarg + 2], false, lmp);
+      comm_forward = 4;
+      if (cut_bond <= 0.0) error->all(FLERR, "Illegal max bond length must be greater than zero");\
+      if (btype < 1 || btype > atom->nbondtypes) error->all(FLERR, "Illegal value for bond type");
+
+      cutsq_bond = cut_bond * cut_bond;
+      iarg += 3;
+    } else {
+      error->all(FLERR,"Illegal fix command, {}", arg[iarg]);
+    }
+  }
+
+
+  for (i = 1; i <= n; i++) {
+    if (cv_style[i] == NONE)
+      error->all(FLERR, "Must specify specific/heat for atom type {} in fix/rheo/thermal", i);
+    if (kappa_style[i] == NONE)
+      error->all(FLERR, "Must specify conductivity for atom type {} in fix/rheo/thermal", i);
+    if (Tc_style[i] == NONE && L_style[i] != NONE)
+      error->all(FLERR, "Must specify critical temperature for atom type {} to use latent heat in fix rheo/thermal", i);
+  }
+
+  if (lmp->citeme) lmp->citeme->add(cite_rheo_oxide);
+}
+
+/* ---------------------------------------------------------------------- */
+
+FixRHEOThermal::~FixRHEOThermal()
+{
+  // Remove custom property if it exists
+  int tmp1, tmp2, index;
+  index = atom->find_custom("rheo_conductivity", tmp1, tmp2);
+  if (index != -1) atom->remove_custom(index, 1, 0);
+
+  memory->destroy(cv_style);
+  memory->destroy(Tc_style);
+  memory->destroy(kappa_style);
+  memory->destroy(L_style);
+  memory->destroy(cv);
+  memory->destroy(Tc);
+  memory->destroy(kappa);
+  memory->destroy(L);
+}
+
+/* ---------------------------------------------------------------------- */
+
+int FixRHEOThermal::setmask()
+{
+  int mask = 0;
+  mask |= INITIAL_INTEGRATE;
+  mask |= POST_INTEGRATE;
+  mask |= POST_NEIGHBOR;
+  mask |= PRE_FORCE;
+  mask |= FINAL_INTEGRATE;
+  return mask;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEOThermal::init()
+{
+  auto fixes = modify->get_fix_by_style("^rheo$");
+  if (fixes.size() == 0) error->all(FLERR, "Need to define fix rheo to use fix rheo/viscosity");
+  fix_rheo = dynamic_cast<FixRHEO *>(fixes[0]);
+  cut_kernel = fix_rheo->cut;
+
+  if (cut_bond > cut_kernel)
+    error->all(FLERR, "Bonding length exceeds kernel cutoff");
+
+  if (!fix_rheo->thermal_flag)
+    error->all(FLERR, "Need to define thermal setting in fix rheo");
+  compute_grad = fix_rheo->compute_grad;
+  compute_vshift = fix_rheo->compute_vshift;
+
+  dt = update->dt;
+  dth = 0.5 * update->dt;
+
+  if (atom->esph_flag != 1)
+    error->all(FLERR, "fix rheo/thermal command requires atom property esph");
+  if (atom->temperature_flag != 1)
+    error->all(FLERR, "fix rheo/thermal command requires atom property temperature");
+  if (atom->heatflow_flag != 1)
+    error->all(FLERR, "fix rheo/thermal command requires atom property heatflow");
+  if (atom->conductivity_flag != 1)
+    error->all(FLERR, "fix rheo/thermal command requires atom property conductivity");
+
+  if (cut_bond > 0.0) {
+    if (!force->bond) error->all(FLERR, "Must define a bond style to use reactive bond generation with fix rheo/thermal");
+    if (!atom->avec->bonds_allow) error->all(FLERR, "Reactive bond generation in fix rheo/thermal requires atom bonds");
+
+    // all special weights must be 1.0 (no special neighbors) or there must be an instance of fix update/special/bonds
+    if (force->special_lj[0] != 1.0 || force->special_lj[1] != 1.0 || force->special_lj[2] != 1.0 || force->special_lj[3] != 1.0) {
+      auto fixes = modify->get_fix_by_style("UPDATE_SPECIAL_BONDS");
+      if (fixes.size() == 0) error->all(FLERR, "Without fix update/special/bonds, reactive bond generation in fix rheo/thermal requires special weights of 1.0");
+      fix_update_special_bonds = dynamic_cast<FixUpdateSpecialBonds *>(fixes[0]);
+    }
+
+    // must have newton off so both processors will search nlist to build bonds
+    if (force->newton_pair)
+      error->all(FLERR, "Need Newton off for reactive bond generation");
+
+    // need a half neighbor list, built only when particles freeze
+    auto req = neighbor->add_request(this, NeighConst::REQ_OCCASIONAL);
+    req->set_cutoff(cut_kernel);
+
+    // find instances of bond history to delete/shift data
+    histories = modify->get_fix_by_style("BOND_HISTORY");
+    n_histories = histories.size();
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEOThermal::init_list(int /*id*/, NeighList *ptr)
+{
+  list = ptr;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEOThermal::setup_pre_force(int /*vflag*/)
+{
+  fix_rheo->thermal_fix_defined = 1;
+
+  if (modify->get_fix_by_style("rheo/thermal").size() > 1)
+    error->all(FLERR, "More than one fix rheo/thermal defined");
+
+  post_neighbor();
+  pre_force(0);
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEOThermal::initial_integrate(int /*vflag*/)
+{
+  // update temperature from shifting
+  if (!fix_rheo->shift_flag) return;
+  int i, a;
+
+  int *status = atom->rheo_status;
+  double *energy = atom->esph;
+  double **grade = compute_grad->grade;
+  double **vshift = compute_vshift->vshift;
+
+  int nlocal = atom->nlocal;
+  int dim = domain->dimension;
+
+  if (igroup == atom->firstgroup)
+    nlocal = atom->nfirst;
+
+  for (i = 0; i < nlocal; i++) {
+    if (status[i] & STATUS_NO_SHIFT) continue;
+    for (a = 0; a < dim; a++)
+      energy[i] += dt * vshift[i][a] * grade[i][a];
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEOThermal::post_integrate()
+{
+  int i, itype;
+  double cvi, Tci, Ti, Li;
+
+  int *status = atom->rheo_status;
+  double *energy = atom->esph;
+  double *temperature = atom->temperature;
+  double *heatflow = atom->heatflow;
+  int *type = atom->type;
+
+  int n_melt = 0;
+  int n_freeze = 0;
+
+  //Integrate energy and check status
+  for (i = 0; i < atom->nlocal; i++) {
+    if (status[i] & STATUS_NO_INTEGRATION) continue;
+
+    itype = type[i];
+    cvi = calc_cv(i, itype);
+    energy[i] += dth * heatflow[i];
+    temperature[i] = energy[i] / cvi;
+
+    if (Tc_style[itype] != NONE) {
+      Ti = temperature[i];
+      Tci = calc_Tc(i, itype);
+
+      if (L_style[itype] != NONE) {
+        Li = calc_L(i, itype);
+        if (Ti > Tci) Ti = MAX(Tci, (energy[i] - Li) / cvi);
+        temperature[i] = Ti;
+      }
+
+      // Check phase change if Ti != Tci
+
+      if (Ti > Tci) {
+        // If solid, melt
+        if (status[i] & STATUS_SOLID) {
+          status[i] &= PHASEMASK;
+          status[i] |= STATUS_MELTING;
+          n_melt += 1;
+        }
+      }
+
+      if (Ti < Tci) {
+        // If fluid, freeze
+        if (!(status[i] & STATUS_SOLID)) {
+          status[i] &= PHASEMASK;
+          status[i] |= STATUS_SOLID;
+          status[i] |= STATUS_FREEZING;
+          n_freeze += 1;
+        }
+      }
+    }
+  }
+
+  int n_melt_all, n_freeze_all;
+  MPI_Allreduce(&n_melt, &n_melt_all, 1, MPI_INT, MPI_SUM, world);
+  MPI_Allreduce(&n_freeze, &n_freeze_all, 1, MPI_INT, MPI_SUM, world);
+
+  if (cut_bond > 0 && (n_melt_all || n_freeze_all)) {
+
+    // If a particle freezes, check if it already has bonds of that type
+    // If so, assume it was inserted as a solid particle
+    // Note: inserted solid particle may still shift one timestep
+    int *num_bond = atom->num_bond;
+    int **bond_type = atom->bond_type;
+    for (i = 0; i < atom->nlocal; i++) {
+      if (status[i] & STATUS_FREEZING) {
+        for (int n = 0; n < num_bond[i]; n++) {
+          if (bond_type[i][n] == btype) {
+            status[i] &= ~STATUS_FREEZING;
+            break;
+          }
+        }
+      }
+    }
+
+    // Forward status + positions (after inititial integrate, before comm)
+    comm->forward_comm(this);
+
+    if (n_freeze_all) create_bonds();
+    if (n_melt_all) break_bonds();
+
+    next_reneighbor = update->ntimestep;
+  }
+}
+
+/* ----------------------------------------------------------------------
+  Only need to update non-evolving conductivity styles after atoms exchange
+------------------------------------------------------------------------- */
+
+void FixRHEOThermal::post_neighbor()
+{
+  int i, itype;
+  int *type = atom->type;
+  double *conductivity = atom->conductivity;
+  int nlocal = atom->nlocal;
+  int nall = nlocal + atom->nghost;
+
+  for (i = 0; i < nall; i++) {
+    itype = type[i];
+    if (kappa_style[itype] == CONSTANT)
+      conductivity[i] = kappa[itype];
+  }
+}
+
+/* ----------------------------------------------------------------------
+  Calculate temperature
+  In the future, update & forward evolving conductivity styles every timestep
+------------------------------------------------------------------------- */
+
+void FixRHEOThermal::pre_force(int /*vflag*/)
+{
+  int i, itype;
+  double cvi, Tci, Ti, Li;
+
+  double *energy = atom->esph;
+  double *temperature = atom->temperature;
+  int *type = atom->type;
+  int *status = atom->rheo_status;
+
+  int nlocal = atom->nlocal;
+  int nall = nlocal + atom->nghost;
+
+  // Calculate temperature
+  for (i = 0; i < nall; i++) {
+    itype = type[i];
+    cvi = calc_cv(i, itype);
+    temperature[i] = energy[i] / cvi;
+
+    if (Tc_style[itype] != NONE) {
+      Ti = temperature[i];
+      Tci = calc_Tc(i, itype);
+
+      if (L_style[itype] != NONE) {
+        Li = calc_L(i, itype);
+        if (Ti > Tci) Ti = MAX(Tci, (energy[i] - Li) / cvi);
+        temperature[i] = Ti;
+      }
+    }
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEOThermal::final_integrate()
+{
+  int *status = atom->rheo_status;
+  double *energy = atom->esph;
+  double *heatflow = atom->heatflow;
+
+  //Integrate energy
+  for (int i = 0; i < atom->nlocal; i++) {
+    if (status[i] & STATUS_NO_INTEGRATION) continue;
+    energy[i] += dth * heatflow[i];
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEOThermal::reset_dt()
+{
+  dt = update->dt;
+  dth = 0.5 * update->dt;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEOThermal::break_bonds()
+{
+  int m, n, nmax, i, j, melti, meltj;
+
+  tagint *tag = atom->tag;
+  int *status = atom->rheo_status;
+  int **bond_type = atom->bond_type;
+  tagint **bond_atom = atom->bond_atom;
+  int *num_bond = atom->num_bond;
+
+  int **bondlist = neighbor->bondlist;
+  int nbondlist = neighbor->nbondlist;
+
+  int nlocal = atom->nlocal;
+  int nall = nlocal + atom->nghost;
+
+  // Delete all bonds for local atoms that melt of a given type
+  for (int i = 0; i < nlocal; i++) {
+    melti = status[i] & STATUS_MELTING;
+    if (!melti) continue;
+    for (m = (num_bond[i] - 1); m >= 0; m--) {
+      if (bond_type[i][m] != btype) continue;
+
+      j = atom->map(bond_atom[i][m]);
+      meltj = status[j] & STATUS_MELTING;
+
+      nmax = num_bond[i] - 1;
+      if (m == nmax) {
+        if (n_histories > 0)
+          for (auto &ihistory: histories)
+            dynamic_cast<FixBondHistory *>(ihistory)->delete_history(i, m);
+      } else {
+        bond_type[i][m] = bond_type[i][nmax];
+        bond_atom[i][m] = bond_atom[i][nmax];
+        if (n_histories > 0) {
+          for (auto &ihistory: histories) {
+            auto fix_bond_history = dynamic_cast<FixBondHistory *>  (ihistory);
+            fix_bond_history->shift_history(i, m, nmax);
+            fix_bond_history->delete_history(i, nmax);
+          }
+        }
+      }
+      bond_type[i][nmax] = 0;
+      num_bond[i]--;
+
+      // Update special unless two owned atoms melt simultaneously then
+      //  only update for atom with lower tag
+      if (fix_update_special_bonds) {
+        if ((i < nlocal) && (j < nlocal) && melti && meltj) {
+          if (tag[i] < tag[j]) {
+            fix_update_special_bonds->add_broken_bond(i, j);
+          }
+        } else {
+          fix_update_special_bonds->add_broken_bond(i, j);
+        }
+      }
+    }
+  }
+
+  // Update bond list and break solid-melted bonds
+  for (n = 0; n < nbondlist; n++) {
+
+    // skip bond if not correct type
+    if (bondlist[n][2] != btype) continue;
+    i = bondlist[n][0];
+    j = bondlist[n][1];
+
+    melti = status[i] & STATUS_MELTING;
+    meltj = status[j] & STATUS_MELTING;
+
+    if (!melti && !meltj) continue;
+
+    bondlist[n][2] = 0;
+
+    // Delete bonds for non-melted local atoms (shifting)
+    if (i < nlocal && !melti) {
+      for (m = 0; m < num_bond[i]; m++) {
+        if ((bond_atom[i][m] == tag[j]) && (bond_type[i][m] == btype)) {
+          nmax = num_bond[i] - 1;
+          bond_type[i][m] = bond_type[i][nmax];
+          bond_atom[i][m] = bond_atom[i][nmax];
+          if (n_histories > 0)
+            for (auto &ihistory: histories) {
+              auto fix_bond_history = dynamic_cast<FixBondHistory *> (ihistory);
+              fix_bond_history->shift_history(i, m, nmax);
+              fix_bond_history->delete_history(i, nmax);
+            }
+          bond_type[i][nmax] = 0;
+          num_bond[i]--;
+          break;
+        }
+      }
+    }
+
+    if (j < nlocal && !meltj) {
+      for (m = 0; m < num_bond[j]; m++) {
+        if ((bond_atom[j][m] == tag[i]) && (bond_type[j][m] == btype)) {
+          nmax = num_bond[j] - 1;
+          bond_type[j][m] = bond_type[j][nmax];
+          bond_atom[j][m] = bond_atom[j][nmax];
+          if (n_histories > 0)
+            for (auto &ihistory: histories) {
+              auto fix_bond_history = dynamic_cast<FixBondHistory *>  (ihistory);
+              fix_bond_history->shift_history(j, m, nmax);
+              fix_bond_history->delete_history(j, nmax);
+            }
+          bond_type[j][nmax] = 0;
+          num_bond[j]--;
+          break;
+        }
+      }
+    }
+
+    // Unless both atoms melt simultaneously, need to remove special bond if the melted atom is a ghost
+    if (melti && meltj) continue;
+    if (fix_update_special_bonds)
+      if (((i >= nlocal) && melti) || ((j >= nlocal) && meltj))
+        fix_update_special_bonds->add_broken_bond(i, j);
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEOThermal::create_bonds()
+{
+  int i, j, ii, jj, inum, jnum;
+  int *ilist, *jlist, *numneigh, **firstneigh;
+  double delx, dely, delz, rsq;
+
+  int nlocal = atom->nlocal;
+  int newton_bond = force->newton_bond;
+
+  tagint *tag = atom->tag;
+  tagint **bond_atom = atom->bond_atom;
+  int *status = atom->rheo_status;
+  int **bond_type = atom->bond_type;
+  int *num_bond = atom->num_bond;
+  double **x = atom->x;
+
+  neighbor->build_one(list, 1);
+
+  inum = list->inum;
+  ilist = list->ilist;
+  numneigh = list->numneigh;
+  firstneigh = list->firstneigh;
+
+  // loop over neighbors of my atoms
+  // might be faster to do a full list and just act on the atom that freezes
+  for (ii = 0; ii < inum; ii++) {
+    i = ilist[ii];
+    if (!(status[i] & STATUS_SOLID)) continue;
+
+    jlist = firstneigh[i];
+    jnum = numneigh[i];
+
+    for (jj = 0; jj < jnum; jj++) {
+      j = jlist[jj];
+      j &= NEIGHMASK;
+
+      if (!(status[j] & STATUS_SOLID)) continue;
+      if (!(status[i] & STATUS_FREEZING) && !(status[j] & STATUS_FREEZING)) continue;
+
+      // Ensure pair is always ordered to ensure numerical operations
+      // are identical to minimize the possibility that a bond straddling
+      // an mpi grid (newton off) isn't created on one proc but not the other
+      if (tag[i] < tag[j]) {
+        delx = x[i][0] - x[j][0];
+        dely = x[i][1] - x[j][1];
+        delz = x[i][2] - x[j][2];
+      } else {
+        delx = x[j][0] - x[i][0];
+        dely = x[j][1] - x[i][1];
+        delz = x[j][2] - x[i][2];
+      }
+      rsq = delx * delx + dely * dely + delz * delz;
+      if (rsq > cutsq_bond) continue;
+
+      // Add bonds to owned atoms
+      // If newton bond off, add to both, otherwise add to whichever has a smaller tag
+      if ((i < nlocal) && (!newton_bond || (tag[i] < tag[j]))) {
+        if (num_bond[i] == atom->bond_per_atom)
+          error->one(FLERR,"New bond exceeded bonds per atom in fix rheo/thermal");
+        bond_type[i][num_bond[i]] = btype;
+        bond_atom[i][num_bond[i]] = tag[j];
+        num_bond[i]++;
+      }
+
+      if ((j < nlocal) && (!newton_bond || (tag[j] < tag[i]))) {
+        if (num_bond[j] == atom->bond_per_atom)
+          error->one(FLERR,"New bond exceeded bonds per atom in fix rheo/thermal");
+        bond_type[j][num_bond[j]] = btype;
+        bond_atom[j][num_bond[j]] = tag[i];
+        num_bond[j]++;
+      }
+
+      if (fix_update_special_bonds) fix_update_special_bonds->add_created_bond(i, j);
+    }
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+double FixRHEOThermal::calc_cv(int i, int itype)
+{
+  if (cv_style[itype] == CONSTANT) {
+    return cv[itype];
+  }
+
+  return 0.0;
+}
+
+/* ---------------------------------------------------------------------- */
+
+double FixRHEOThermal::calc_Tc(int i, int itype)
+{
+  if (Tc_style[itype] == CONSTANT) {
+    return Tc[itype];
+  }
+
+  return 0.0;
+}
+
+/* ---------------------------------------------------------------------- */
+
+double FixRHEOThermal::calc_L(int i, int itype)
+{
+  if (L_style[itype] == CONSTANT) {
+    return L[itype];
+  }
+
+  return 0.0;
+}
+
+/* ---------------------------------------------------------------------- */
+
+int FixRHEOThermal::pack_forward_comm(int n, int *list, double *buf,
+                                        int /*pbc_flag*/, int * /*pbc*/)
+{
+  int i, j, k, m;
+  int *status = atom->rheo_status;
+  double **x = atom->x;
+  m = 0;
+
+  for (i = 0; i < n; i++) {
+    j = list[i];
+    buf[m++] = ubuf(status[j]).d;
+    buf[m++] = x[j][0];
+    buf[m++] = x[j][1];
+    buf[m++] = x[j][2];
+  }
+  return m;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEOThermal::unpack_forward_comm(int n, int first, double *buf)
+{
+  int i, k, m, last;
+  int *status = atom->rheo_status;
+  double **x = atom->x;
+  m = 0;
+  last = first + n;
+  for (i = first; i < last; i++) {
+    status[i] = (int) ubuf(buf[m++]).i;
+    x[i][0] = buf[m++];
+    x[i][1] = buf[m++];
+    x[i][2] = buf[m++];
+  }
+}

src/RHEO/fix_rheo_thermal.h

@@ -0,0 +1,73 @@
+/* -*- c++ -*- ----------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+#ifdef FIX_CLASS
+// clang-format off
+FixStyle(rheo/thermal,FixRHEOThermal)
+// clang-format on
+#else
+
+#ifndef LMP_FIX_RHEO_THERMAL_H
+#define LMP_FIX_RHEO_THERMAL_H
+
+#include "fix.h"
+
+#include <vector>
+
+namespace LAMMPS_NS {
+
+class FixRHEOThermal : public Fix {
+ public:
+  FixRHEOThermal(class LAMMPS *, int, char **);
+  ~FixRHEOThermal() override;
+  int setmask() override;
+  void init() override;
+  void init_list(int, class NeighList *) override;
+  void setup_pre_force(int) override;
+  void initial_integrate(int) override;
+  void post_integrate() override;
+  void post_neighbor() override;
+  void pre_force(int) override;
+  void final_integrate() override;
+  int pack_forward_comm(int, int *, double *, int, int *) override;
+  void unpack_forward_comm(int, int, double *) override;
+  void reset_dt() override;
+  double calc_cv(int, int);
+  double calc_Tc(int, int);
+  double calc_L(int, int);
+
+ private:
+  double *cv, *Tc, *kappa, *L;
+  double dt, dth;
+  double cut_kernel, cut_bond, cutsq_bond;
+  int *cv_style, *Tc_style, *kappa_style, *L_style;
+  int btype;
+  class NeighList *list;
+
+  int n_histories;
+  std::vector<Fix *> histories;
+
+  class FixRHEO *fix_rheo;
+  class ComputeRHEOGrad *compute_grad;
+  class ComputeRHEOVShift *compute_vshift;
+  class FixUpdateSpecialBonds *fix_update_special_bonds;
+
+  void grow_array(int);
+  void break_bonds();
+  void create_bonds();
+};
+
+}    // namespace LAMMPS_NS
+
+#endif
+#endif

src/RHEO/fix_rheo_viscosity.cpp

@@ -0,0 +1,251 @@
+// clang-format off
+/* ----------------------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+   Contributing authors:
+   Joel Clemmer (SNL), Thomas O'Connor (CMU)
+----------------------------------------------------------------------- */
+
+#include "fix_rheo_viscosity.h"
+
+#include "atom.h"
+#include "comm.h"
+#include "compute_rheo_grad.h"
+#include "domain.h"
+#include "error.h"
+#include "fix_rheo.h"
+#include "memory.h"
+#include "modify.h"
+#include "update.h"
+
+#include <cmath>
+
+using namespace LAMMPS_NS;
+using namespace FixConst;
+enum {NONE, CONSTANT, POWER};
+
+/* ---------------------------------------------------------------------- */
+
+FixRHEOViscosity::FixRHEOViscosity(LAMMPS *lmp, int narg, char **arg) :
+  Fix(lmp, narg, arg), fix_rheo(nullptr), compute_grad(nullptr), eta(nullptr),
+  npow(nullptr), K(nullptr), gd0(nullptr), tau0(nullptr), viscosity_style(nullptr)
+{
+  if (narg < 4) error->all(FLERR, "Illegal fix command");
+
+  comm_forward = 0;
+  constant_flag = 0;
+  evolve_flag = 0;
+
+  // Currently can only have one instance of fix rheo/viscosity
+  if (igroup != 0)
+    error->all(FLERR,"fix rheo/viscosity command requires group all");
+
+  int i, nlo, nhi;
+  int n = atom->ntypes;
+  memory->create(viscosity_style, n + 1, "rheo:viscosity_style");
+  memory->create(eta, n + 1, "rheo:eta");
+  memory->create(gd0, n + 1, "rheo:gd0");
+  memory->create(K, n + 1, "rheo:K");
+  memory->create(npow, n + 1, "rheo:npow");
+  memory->create(tau0, n + 1, "rheo:tau0");
+  for (i = 1; i <= n; i++) viscosity_style[i] = NONE;
+
+  int iarg = 3;
+  while (iarg < narg) {
+    utils::bounds(FLERR, arg[iarg], 1, n, nlo, nhi, error);
+
+    if (iarg + 1 >= narg) utils::missing_cmd_args(FLERR, "fix rheo/viscosity", error);
+
+    if (strcmp(arg[iarg + 1], "constant") == 0) {
+      if (iarg + 2 >= narg) utils::missing_cmd_args(FLERR, "fix rheo/viscosity constant", error);
+
+      constant_flag = 1;
+      double eta_one = utils::numeric(FLERR, arg[iarg + 2], false, lmp);
+      if (eta_one < 0.0) error->all(FLERR, "The viscosity must be positive");
+      iarg += 1;
+
+      for (i = nlo; i <= nhi; i++) {
+        viscosity_style[i] = CONSTANT;
+        eta[i] = eta_one;
+      }
+    } else if (strcmp(arg[iarg + 1], "power") == 0) {
+      if (iarg + 5 >= narg) utils::missing_cmd_args(FLERR, "fix rheo/viscosity power", error);
+
+      comm_forward = 1;
+      evolve_flag = 1;
+      double eta_one = utils::numeric(FLERR, arg[iarg + 2], false, lmp);
+      double gd0_one = utils::numeric(FLERR, arg[iarg + 3], false, lmp);
+      double K_one = utils::numeric(FLERR, arg[iarg + 4], false, lmp);
+      double npow_one = utils::numeric(FLERR, arg[iarg + 5], false, lmp);
+      if (eta_one < 0.0) error->all(FLERR, "The viscosity must be positive");
+      iarg += 4;
+
+      for (i = nlo; i <= nhi; i++) {
+        viscosity_style[i] = POWER;
+        eta[i] = eta_one;
+        gd0[i] = gd0_one;
+        K[i] = K_one;
+        npow[i] = npow_one;
+        tau0[i] = eta[i] * gd0[i] - K[i] * pow(gd0[i], npow[i]);
+      }
+    } else {
+      error->all(FLERR, "Illegal fix command, {}", arg[iarg]);
+    }
+    iarg += 2;
+  }
+
+  for (i = 1; i <= n; i++)
+    if (viscosity_style[i] == NONE)
+      error->all(FLERR,"Must specify viscosity for atom type {} in fix/rheo/viscosity", i);
+}
+
+/* ---------------------------------------------------------------------- */
+
+FixRHEOViscosity::~FixRHEOViscosity()
+{
+  memory->destroy(viscosity_style);
+  memory->destroy(eta);
+  memory->destroy(gd0);
+  memory->destroy(K);
+  memory->destroy(npow);
+  memory->destroy(tau0);
+}
+
+/* ---------------------------------------------------------------------- */
+
+int FixRHEOViscosity::setmask()
+{
+  int mask = 0;
+  mask |= POST_NEIGHBOR;
+  mask |= PRE_FORCE;
+  return mask;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEOViscosity::init()
+{
+  auto fixes = modify->get_fix_by_style("^rheo$");
+  if (fixes.size() == 0) error->all(FLERR, "Need to define fix rheo to use fix rheo/viscosity");
+  fix_rheo = dynamic_cast<FixRHEO *>(fixes[0]);
+
+  compute_grad = fix_rheo->compute_grad;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEOViscosity::setup_pre_force(int /*vflag*/)
+{
+  fix_rheo->viscosity_fix_defined = 1;
+
+  if (modify->get_fix_by_style("rheo/viscosity").size() > 1)
+    error->all(FLERR, "More than one fix rheo/viscosity defined");
+
+  post_neighbor();
+  pre_force(0);
+}
+
+/* ----------------------------------------------------------------------
+  Only need to update non-evolving viscosity styles after atoms exchange
+------------------------------------------------------------------------- */
+
+void FixRHEOViscosity::post_neighbor()
+{
+  if (!constant_flag) return;
+
+  int i, itype;
+  int *type = atom->type;
+  double *viscosity = atom->viscosity;
+
+  int nall = atom->nlocal + atom->nghost;
+
+  for (i = 0; i < nall; i++) {
+    itype = type[i];
+    if (viscosity_style[itype])
+      viscosity[i] = eta[itype];
+  }
+}
+
+/* ----------------------------------------------------------------------
+  Update (and forward) evolving viscosity styles every timestep
+------------------------------------------------------------------------- */
+
+void FixRHEOViscosity::pre_force(int /*vflag*/)
+{
+  if (!evolve_flag) return;
+
+  int i, itype, a, b;
+  double tmp, gdot;
+
+  int *type = atom->type;
+  double *viscosity = atom->viscosity;
+  double **gradv = compute_grad->gradv;
+
+  int nlocal = atom->nlocal;
+  int dim = domain->dimension;
+
+
+  for (i = 0; i < nlocal; i++) {
+    itype = type[i];
+    if (viscosity_style[itype] == POWER) {
+      gdot = 0.0;
+      for (a = 0; a < dim; a++) {
+        for (b = a; b < dim; b++) {
+          tmp = gradv[i][a * dim + b] + gradv[i][b * dim + a];
+          tmp = tmp * tmp;
+          if (a == b) tmp *= 0.5;
+          gdot += tmp;
+        }
+      }
+      gdot = sqrt(gdot);
+      if (gdot <= gd0[itype]) {
+        viscosity[i] = eta[itype];
+      } else {
+        viscosity[i] = K[itype] * pow(gdot, npow[itype] - 1) + tau0[itype] / gdot;
+      }
+    }
+  }
+
+  if (comm_forward) comm->forward_comm(this);
+}
+
+/* ---------------------------------------------------------------------- */
+
+int FixRHEOViscosity::pack_forward_comm(int n, int *list, double *buf,
+                                        int /*pbc_flag*/, int * /*pbc*/)
+{
+  int i, j, k, m;
+  double *viscosity = atom->viscosity;
+  m = 0;
+
+  for (i = 0; i < n; i++) {
+    j = list[i];
+    buf[m++] = viscosity[j];
+  }
+  return m;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void FixRHEOViscosity::unpack_forward_comm(int n, int first, double *buf)
+{
+  int i, k, m, last;
+  double *viscosity = atom->viscosity;
+
+  m = 0;
+  last = first + n;
+  for (i = first; i < last; i++) {
+    viscosity[i] = buf[m++];
+  }
+}

src/RHEO/fix_rheo_viscosity.h

@@ -0,0 +1,50 @@
+/* -*- c++ -*- ----------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+#ifdef FIX_CLASS
+// clang-format off
+FixStyle(rheo/viscosity,FixRHEOViscosity)
+// clang-format on
+#else
+
+#ifndef LMP_FIX_RHEO_VISCOSITY_H
+#define LMP_FIX_RHEO_VISCOSITY_H
+
+#include "fix.h"
+
+namespace LAMMPS_NS {
+
+class FixRHEOViscosity : public Fix {
+ public:
+  FixRHEOViscosity(class LAMMPS *, int, char **);
+  ~FixRHEOViscosity() override;
+  int setmask() override;
+  void init() override;
+  void setup_pre_force(int) override;
+  void post_neighbor() override;
+  void pre_force(int) override;
+  int pack_forward_comm(int, int *, double *, int, int *) override;
+  void unpack_forward_comm(int, int, double *) override;
+
+ private:
+  double *eta, *npow, *K, *gd0, *tau0;
+  int *viscosity_style, constant_flag, evolve_flag;
+
+  class FixRHEO *fix_rheo;
+  class ComputeRHEOGrad *compute_grad;
+};
+
+}    // namespace LAMMPS_NS
+
+#endif
+#endif

src/RHEO/pair_rheo.cpp

@@ -0,0 +1,549 @@
+// clang-format off
+/* ----------------------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+   Contributing authors:
+   Joel Clemmer (SNL), Thomas O'Connor (CMU)
+----------------------------------------------------------------------- */
+
+#include "pair_rheo.h"
+
+#include "atom.h"
+#include "comm.h"
+#include "compute_rheo_kernel.h"
+#include "compute_rheo_grad.h"
+#include "compute_rheo_interface.h"
+#include "domain.h"
+#include "error.h"
+#include "fix_rheo.h"
+#include "fix_rheo_pressure.h"
+#include "force.h"
+#include "math_extra.h"
+#include "memory.h"
+#include "modify.h"
+#include "neighbor.h"
+#include "neigh_list.h"
+#include "utils.h"
+
+#include <cmath>
+
+using namespace LAMMPS_NS;
+using namespace RHEO_NS;
+using namespace MathExtra;
+
+static constexpr double EPSILON = 1e-2;
+
+/* ---------------------------------------------------------------------- */
+
+PairRHEO::PairRHEO(LAMMPS *lmp) :
+  Pair(lmp), compute_kernel(nullptr), compute_grad(nullptr), compute_interface(nullptr), fix_rheo(nullptr),
+  fix_pressure(nullptr), rho0(nullptr), csq(nullptr), cs(nullptr)
+{
+  restartinfo = 0;
+  single_enable = 0;
+
+  artificial_visc_flag = 0;
+  rho_damp_flag = 0;
+  thermal_flag = 0;
+  harmonic_means_flag = 0;
+
+  comm_reverse = 3;
+}
+
+/* ---------------------------------------------------------------------- */
+
+PairRHEO::~PairRHEO()
+{
+  if (allocated) {
+    memory->destroy(setflag);
+    memory->destroy(cutsq);
+  }
+
+  memory->destroy(cs);
+}
+
+/* ---------------------------------------------------------------------- */
+
+void PairRHEO::compute(int eflag, int vflag)
+{
+  int i, j, a, b, ii, jj, inum, jnum, itype, jtype;
+  int pair_force_flag, pair_rho_flag, pair_avisc_flag;
+  int fluidi, fluidj;
+  double xtmp, ytmp, ztmp, w, wp, Ti, Tj, dT, csq_ave, cs_ave;
+  double rhoi, rhoj, rho0i, rho0j, voli, volj, Pi, Pj, etai, etaj, kappai, kappaj, eta_ave, kappa_ave, dT_prefactor;
+  double mu, q, fp_prefactor, drho_damp, fmag, psi_ij, Fij;
+  double *dWij, *dWji, *dW1ij, *dW1ji;
+  double dx[3], du[3], dv[3], fv[3], dfp[3], fsolid[3], ft[3], vi[3], vj[3];
+
+  int *ilist, *jlist, *numneigh, **firstneigh;
+  double imass, jmass, rsq, r, rinv;
+
+  int nlocal = atom->nlocal;
+  int newton_pair = force->newton_pair;
+  int dim = domain->dimension;
+
+  ev_init(eflag, vflag);
+
+  double **gradv = compute_grad->gradv;
+  double **gradr = compute_grad->gradr;
+  double **v = atom->v;
+  double **x = atom->x;
+  double **f = atom->f;
+  double *rho = atom->rho;
+  double *mass = atom->mass;
+  double *drho = atom->drho;
+  double *pressure = atom->pressure;
+  double *viscosity = atom->viscosity;
+  double *conductivity = atom->conductivity;
+  double *temperature = atom->temperature;
+  double *heatflow = atom->heatflow;
+  double *special_lj = force->special_lj;
+  int *type = atom->type;
+  int *status = atom->rheo_status;
+  tagint *tag = atom->tag;
+
+  double **fp_store, *chi;
+  if (compute_interface) {
+    fp_store = compute_interface->fp_store;
+    chi = compute_interface->chi;
+
+    for (i = 0; i < atom->nmax; i++) {
+      fp_store[i][0] = 0.0;
+      fp_store[i][1] = 0.0;
+      fp_store[i][2] = 0.0;
+    }
+  }
+
+  inum = list->inum;
+  ilist = list->ilist;
+  numneigh = list->numneigh;
+  firstneigh = list->firstneigh;
+
+  for (a = 0; a < 3; a++) {
+    vi[a] = 0.0;
+    vj[a] = 0.0;
+    du[a] = 0.0;
+    fv[a] = 0.0;
+    dfp[a] = 0.0;
+    fsolid[a] = 0.0;
+    ft[0] = 0.0;
+  }
+
+  // loop over neighbors of my atoms
+
+  for (ii = 0; ii < inum; ii++) {
+    i = ilist[ii];
+    xtmp = x[i][0];
+    ytmp = x[i][1];
+    ztmp = x[i][2];
+    itype = type[i];
+    jlist = firstneigh[i];
+    jnum = numneigh[i];
+    imass = mass[itype];
+    etai = viscosity[i];
+    fluidi = !(status[i] & PHASECHECK);
+    if (thermal_flag) {
+      kappai = conductivity[i];
+      Ti = temperature[i];
+    }
+
+    for (jj = 0; jj < jnum; jj++) {
+      j = jlist[jj];
+      j &= NEIGHMASK;
+
+      dx[0] = xtmp - x[j][0];
+      dx[1] = ytmp - x[j][1];
+      dx[2] = ztmp - x[j][2];
+      rsq = lensq3(dx);
+      jtype = type[j];
+
+      if (rsq < cutksq) {
+        r = sqrt(rsq);
+        rinv = 1 / r;
+
+        jmass = mass[jtype];
+        etaj = viscosity[j];
+        fluidj = !(status[j] & PHASECHECK);
+        if (thermal_flag) {
+          Tj = temperature[j];
+          kappaj = conductivity[j];
+        }
+
+        cs_ave = 0.5 * (cs[itype] + cs[jtype]);
+        csq_ave = cs_ave * cs_ave;
+
+        pair_rho_flag = 0;
+        pair_force_flag = 0;
+        pair_avisc_flag = 0;
+        if (fluidi || fluidj) {
+          pair_force_flag = 1;
+          if (!interface_flag) pair_avisc_flag = 1;
+        }
+        if (fluidi && fluidj) {
+          pair_rho_flag = 1;
+          pair_avisc_flag = 1;
+        }
+
+        wp = compute_kernel->calc_dw(i, j, dx[0], dx[1], dx[2], r);
+        dWij = compute_kernel->dWij;
+        dWji = compute_kernel->dWji;
+
+        for (a = 0; a < dim; a++) {
+          vi[a] = v[i][a];
+          vj[a] = v[j][a];
+        }
+
+        // Add corrections for walls
+        rhoi = rho[i];
+        rhoj = rho[j];
+        rho0i = rho0[itype];
+        rho0j = rho0[jtype];
+        Pi = pressure[i];
+        Pj = pressure[j];
+        fmag = 0;
+        if (interface_flag) {
+          if (fluidi && (!fluidj)) {
+            compute_interface->correct_v(vj, vi, j, i);
+            rhoj = compute_interface->correct_rho(j, i);
+            Pj = fix_pressure->calc_pressure(rhoj, jtype);
+
+            if ((chi[j] > 0.9) && (r < (cutk * 0.5)))
+              fmag = (chi[j] - 0.9) * (cutk * 0.5 - r) * rho0j * csq_ave * cutk * rinv;
+
+          } else if ((!fluidi) && fluidj) {
+            compute_interface->correct_v(vi, vj, i, j);
+            rhoi = compute_interface->correct_rho(i, j);
+            Pi = fix_pressure->calc_pressure(rhoi, itype);
+
+            if (chi[i] > 0.9 && r < (cutk * 0.5))
+              fmag = (chi[i] - 0.9) * (cutk * 0.5 - r) * rho0i * csq_ave * cutk * rinv;
+
+          } else if ((!fluidi) && (!fluidj)) {
+            rhoi = rho0i;
+            rhoj = rho0j;
+          }
+        }
+
+        // Repel if close to inner solid particle
+        scale3(fmag, dx, fsolid);
+
+        // Compute volume after reconstructing
+        voli = imass / rhoi;
+        volj = jmass / rhoj;
+
+        // Thermal Evolution
+        if (thermal_flag) {
+          if (harmonic_means_flag) {
+            kappa_ave = 2.0 * kappai * kappaj / (kappai + kappaj);
+          } else {
+            kappa_ave = 0.5 * (kappai + kappaj);
+          }
+          dT_prefactor = 2.0 * kappa_ave * (Ti - Tj) * rinv * rinv * voli * volj * 2.0 / (rhoi + rhoj);
+
+          dT = dot3(dx, dWij);
+          heatflow[i] += dT * dT_prefactor;
+
+          if (newton_pair || j < nlocal) {
+            dT = dot3(dx, dWji);
+            heatflow[j] += dT * dT_prefactor;
+          }
+        }
+
+        if (pair_force_flag) {
+
+          //Hydrostatic pressure forces
+          fp_prefactor = voli * volj * (Pj + Pi);
+          sub3(vi, vj, dv);
+
+          if (harmonic_means_flag) {
+            eta_ave = 2.0 * etai * etaj / (etai + etaj);
+          } else {
+            eta_ave = 0.5 * (etai + etaj);
+          }
+
+          //Add artificial viscous pressure if required
+          if (artificial_visc_flag && pair_avisc_flag) {
+            //Interpolate velocities to midpoint and use this difference for artificial viscosity
+            copy3(dv, du);
+            for (a = 0; a < dim; a++)
+              for (b = 0; b < dim; b++)
+                du[a] -= 0.5 * (gradv[i][a * dim + b] + gradv[j][a * dim + b]) * dx[b];
+
+            mu = dot3(du, dx) * cutkinv3;
+            mu /= (rsq * cutkinv3 * cutkinv3 + EPSILON);
+            mu = MIN(0.0, mu);
+            q = av * (-2.0 * cs_ave * mu + mu * mu);
+            fp_prefactor += voli * volj * q * (rhoj + rhoi);
+          }
+
+          // -Grad[P + Q]
+          scale3(-fp_prefactor, dWij, dfp);
+
+          // Now compute viscous eta*Lap[v] terms
+          for (a = 0; a < dim; a++) {
+            fv[a] = 0.0;
+            for (b = 0; b < dim; b++)
+              fv[a] += dv[a] * dx[b] * dWij[b];
+            fv[a] *= 2.0 * eta_ave * voli * volj * rinv * rinv;
+          }
+
+          add3(fv, dfp, ft);
+          add3(fsolid, ft, ft);
+
+          f[i][0] += ft[0];
+          f[i][1] += ft[1];
+          f[i][2] += ft[2];
+
+          // Note the virial's definition is hazy, e.g. viscous contributions will depend on rotation
+          if (evflag)
+            ev_tally_xyz(i, j, nlocal, newton_pair, 0.0, 0.0, ft[0], ft[1], ft[2], dx[0], dx[1], dx[2]);
+
+          if (newton_pair || j < nlocal) {
+            for (a = 0; a < dim; a ++) {
+              fv[a] = 0.0;
+              for (b = 0; b < dim; b++)
+                fv[a] += (vi[a] - vj[a]) * dx[b] * dWji[b];
+              fv[a] *= -2.0 * eta_ave * voli * volj * rinv * rinv;
+              // flip sign here b/c -= at accummulator
+            }
+
+            scale3(fp_prefactor, dWji, dfp);
+            add3(fv, dfp, ft);
+            add3(fsolid, ft, ft);
+
+            f[j][0] -= ft[0];
+            f[j][1] -= ft[1];
+            f[j][2] -= ft[2];
+
+            if (evflag)
+              ev_tally_xyz(i, j, nlocal, newton_pair, 0.0, 0.0, ft[0], ft[1], ft[2], -dx[0], -dx[1], -dx[2]);
+          }
+
+          if (compute_interface) {
+            fp_store[i][0] += dfp[0];
+            fp_store[i][1] += dfp[1];
+            fp_store[i][2] += dfp[2];
+
+            if (newton_pair || j < nlocal) {
+              fp_store[j][0] -= dfp[0];
+              fp_store[j][1] -= dfp[1];
+              fp_store[j][2] -= dfp[2];
+            }
+          }
+        }
+
+        // Density damping
+        // conventional for low-order h
+        // interpolated for RK 1 & 2  (Antuono et al., Computers & Fluids 2021)
+        if (rho_damp_flag && pair_rho_flag) {
+          if (laplacian_order >= 1) {
+            psi_ij = rhoj - rhoi;
+            Fij = -rinv * rinv * dot3(dx, dWij);
+            for (a = 0; a < dim; a++)
+              psi_ij += 0.5 * (gradr[i][a] + gradr[j][a]) * dx[a];
+            drho[i] += 2 * rho_damp * psi_ij * Fij * volj;
+          } else {
+            drho_damp = 2 * rho_damp * ((rhoj - rho0[jtype]) - (rhoi - rho0[itype])) * rinv * wp;
+            drho[i] -= drho_damp * volj;
+          }
+
+          if (newton_pair || j < nlocal) {
+            if (laplacian_order >= 1) {
+              Fij = rinv * rinv * dot3(dx, dWji);
+              psi_ij *= -1;
+              drho[j] += 2 * rho_damp * psi_ij * Fij * voli;
+            } else {
+              drho[j] += drho_damp * voli;
+            }
+          }
+        }
+      }
+    }
+  }
+
+  if (vflag_fdotr) virial_fdotr_compute();
+
+  if (compute_interface) {
+    if (newton_pair) comm->reverse_comm(this);
+    comm->forward_comm(this);
+  }
+}
+
+/* ----------------------------------------------------------------------
+ allocate all arrays
+ ------------------------------------------------------------------------- */
+
+void PairRHEO::allocate()
+{
+  allocated = 1;
+  int n = atom->ntypes;
+
+  memory->create(setflag, n + 1, n + 1, "pair:setflag");
+  for (int i = 1; i <= n; i++)
+    for (int j = i; j <= n; j++)
+      setflag[i][j] = 0;
+
+  memory->create(cutsq, n + 1, n + 1, "pair:cutsq");
+}
+
+/* ----------------------------------------------------------------------
+ global settings
+ ------------------------------------------------------------------------- */
+
+void PairRHEO::settings(int narg, char **arg)
+{
+  if (narg < 1) error->all(FLERR, "Illegal pair_style command");
+
+  cutk = utils::numeric(FLERR, arg[0], false, lmp);
+
+  int iarg = 1;
+  while (iarg < narg) {
+    if (strcmp(arg[iarg], "rho/damp") == 0) {
+      if (iarg + 1 >= narg) utils::missing_cmd_args(FLERR, "pair rheo rho/damp", error);
+      rho_damp_flag = 1;
+      rho_damp = utils::numeric(FLERR, arg[iarg + 1], false, lmp);
+      iarg++;
+    } else if (strcmp(arg[iarg], "artificial/visc") == 0) {
+      if (iarg + 1 >= narg) utils::missing_cmd_args(FLERR, "pair rheo artificial/visc", error);
+      artificial_visc_flag = 1;
+      av = utils::numeric(FLERR, arg[iarg + 1], false, lmp);
+      iarg++;
+    } else if (strcmp(arg[iarg], "harmonic/means") == 0) {
+      harmonic_means_flag = 1;
+    } else error->all(FLERR, "Illegal pair_style command, {}", arg[iarg]);
+    iarg++;
+  }
+}
+
+/* ----------------------------------------------------------------------
+ set coeffs for one or more type pairs
+ ------------------------------------------------------------------------- */
+
+void PairRHEO::coeff(int narg, char **arg)
+{
+  if (narg != 2)
+    error->all(FLERR, "Incorrect number of args for pair_style rheo coefficients");
+  if (!allocated)
+    allocate();
+
+  int ilo, ihi, jlo, jhi;
+  utils::bounds(FLERR, arg[0], 1, atom->ntypes, ilo, ihi, error);
+  utils::bounds(FLERR, arg[1], 1, atom->ntypes, jlo, jhi, error);
+
+  int count = 0;
+  for (int i = ilo; i <= ihi; i++) {
+    for (int j = 0; j <= atom->ntypes; j++) {
+      setflag[i][j] = 1;
+      count++;
+    }
+  }
+
+  if (count == 0)
+    error->all(FLERR, "Incorrect args for pair rheo coefficients");
+}
+
+/* ----------------------------------------------------------------------
+ setup specific to this pair style
+ ------------------------------------------------------------------------- */
+
+void PairRHEO::setup()
+{
+  auto fixes = modify->get_fix_by_style("rheo");
+  if (fixes.size() == 0) error->all(FLERR, "Need to define fix rheo to use pair rheo");
+  fix_rheo = dynamic_cast<FixRHEO *>(fixes[0]);
+
+  // Currently only allow one instance of fix rheo/pressure
+  fixes = modify->get_fix_by_style("rheo/pressure");
+  if (fixes.size() == 0) error->all(FLERR, "Need to define fix rheo/pressure to use pair rheo");
+  fix_pressure = dynamic_cast<FixRHEOPressure *>(fixes[0]);
+
+  compute_kernel = fix_rheo->compute_kernel;
+  compute_grad = fix_rheo->compute_grad;
+  compute_interface = fix_rheo->compute_interface;
+  thermal_flag = fix_rheo->thermal_flag;
+  interface_flag = fix_rheo->interface_flag;
+  csq = fix_rheo->csq;
+  rho0 = fix_rheo->rho0;
+
+  if (cutk != fix_rheo->cut)
+    error->all(FLERR, "Pair rheo cutoff {} does not agree with fix rheo cutoff {}", cutk, fix_rheo->cut);
+
+  cutksq = cutk * cutk;
+  cutkinv = 1.0 / cutk;
+  cutkinv3 = cutkinv * 3.0;
+  laplacian_order = -1;
+
+  int n = atom->ntypes;
+  memory->create(cs, n + 1, "rheo:cs");
+  for (int i = 1; i <= n; i++)
+    cs[i] = sqrt(csq[i]);
+
+  if (comm->ghost_velocity == 0)
+    error->all(FLERR, "Pair RHEO requires ghost atoms store velocity");
+
+  if (laplacian_order == -1) {
+    if (fix_rheo->kernel_style == RK2)
+      laplacian_order = 2;
+    else if (fix_rheo->kernel_style == RK1)
+      laplacian_order = 1;
+    else
+      laplacian_order = 0;
+  }
+}
+
+/* ----------------------------------------------------------------------
+ init for one type pair i,j and corresponding j,i
+ ------------------------------------------------------------------------- */
+
+double PairRHEO::init_one(int i, int j)
+{
+  if (setflag[i][j] == 0)
+    error->all(FLERR, "All pair rheo coeffs are not set");
+
+  return cutk;
+}
+
+/* ---------------------------------------------------------------------- */
+
+int PairRHEO::pack_reverse_comm(int n, int first, double *buf)
+{
+  int i, k, m, last;
+  double **fp_store = compute_interface->fp_store;
+
+  m = 0;
+  last = first + n;
+  for (i = first; i < last; i++) {
+    buf[m++] = fp_store[i][0];
+    buf[m++] = fp_store[i][1];
+    buf[m++] = fp_store[i][2];
+  }
+
+  return m;
+}
+
+/* ---------------------------------------------------------------------- */
+
+void PairRHEO::unpack_reverse_comm(int n, int *list, double *buf)
+{
+  int i, j, k, m;
+  double **fp_store = compute_interface->fp_store;
+
+  m = 0;
+  for (i = 0; i < n; i++) {
+    j = list[i];
+    fp_store[j][0] += buf[m++];
+    fp_store[j][1] += buf[m++];
+    fp_store[j][2] += buf[m++];
+  }
+}

src/RHEO/pair_rheo.h

@@ -0,0 +1,63 @@
+/* -*- c++ -*- ----------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+#ifdef PAIR_CLASS
+// clang-format off
+PairStyle(rheo,PairRHEO)
+// clang-format on
+#else
+
+#ifndef LMP_PAIR_RHEO_H
+#define LMP_PAIR_RHEO_H
+
+#include "pair.h"
+
+namespace LAMMPS_NS {
+
+class PairRHEO : public Pair {
+ public:
+  PairRHEO(class LAMMPS *);
+  ~PairRHEO() override;
+  void compute(int, int) override;
+  void settings(int, char **) override;
+  void coeff(int, char **) override;
+  void setup() override;
+  double init_one(int, int) override;
+  int pack_reverse_comm(int, int, double *) override;
+  void unpack_reverse_comm(int, int *, double *) override;
+
+ protected:
+  double cutk, *csq, *rho0;        // From fix RHEO
+  double *cs, cutksq, cutkinv, cutkinv3, av, rho_damp;
+
+  int laplacian_order;
+  int artificial_visc_flag;
+  int rho_damp_flag;
+  int thermal_flag;
+  int interface_flag;
+
+  int harmonic_means_flag;
+
+  void allocate();
+
+  class ComputeRHEOKernel *compute_kernel;
+  class ComputeRHEOGrad *compute_grad;
+  class ComputeRHEOInterface *compute_interface;
+  class FixRHEO *fix_rheo;
+  class FixRHEOPressure *fix_pressure;
+};
+
+}    // namespace LAMMPS_NS
+
+#endif
+#endif

src/RHEO/pair_rheo_solid.cpp

@@ -0,0 +1,359 @@
+// clang-format off
+/* ----------------------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+/* ----------------------------------------------------------------------
+   Contributing authors:
+   Joel Clemmer (SNL)
+----------------------------------------------------------------------- */
+
+#include "pair_rheo_solid.h"
+
+#include "atom.h"
+#include "comm.h"
+#include "error.h"
+#include "fix_rheo.h"
+#include "force.h"
+#include "memory.h"
+#include "neigh_list.h"
+#include "neighbor.h"
+
+#include <cmath>
+
+using namespace LAMMPS_NS;
+using namespace RHEO_NS;
+
+/* ---------------------------------------------------------------------- */
+
+PairRHEOSolid::PairRHEOSolid(LAMMPS *_lmp) : Pair(_lmp)
+{
+  writedata = 1;
+}
+
+/* ---------------------------------------------------------------------- */
+
+PairRHEOSolid::~PairRHEOSolid()
+{
+  if (allocated) {
+    memory->destroy(setflag);
+    memory->destroy(cutsq);
+
+    memory->destroy(k);
+    memory->destroy(cut);
+    memory->destroy(gamma);
+  }
+}
+
+/* ---------------------------------------------------------------------- */
+
+void PairRHEOSolid::compute(int eflag, int vflag)
+{
+  int i, j, ii, jj, inum, jnum, itype, jtype;
+  double xtmp, ytmp, ztmp, delx, dely, delz, evdwl, fpair;
+  double r, rsq, rinv, factor_lj;
+  int *ilist, *jlist, *numneigh, **firstneigh;
+  double vxtmp, vytmp, vztmp, delvx, delvy, delvz, dot, smooth;
+
+  evdwl = 0.0;
+  if (eflag || vflag)
+    ev_setup(eflag, vflag);
+  else
+    evflag = vflag_fdotr = 0;
+
+  double **x = atom->x;
+  double **v = atom->v;
+  double **f = atom->f;
+  int *type = atom->type;
+  int *status = atom->rheo_status;
+  int nlocal = atom->nlocal;
+  int newton_pair = force->newton_pair;
+  double *special_lj = force->special_lj;
+
+  inum = list->inum;
+  ilist = list->ilist;
+  numneigh = list->numneigh;
+  firstneigh = list->firstneigh;
+
+  // loop over neighbors of my atoms
+
+  for (ii = 0; ii < inum; ii++) {
+    i = ilist[ii];
+    if (!(status[i] & STATUS_SOLID)) continue;
+
+    xtmp = x[i][0];
+    ytmp = x[i][1];
+    ztmp = x[i][2];
+    vxtmp = v[i][0];
+    vytmp = v[i][1];
+    vztmp = v[i][2];
+    itype = type[i];
+    jlist = firstneigh[i];
+    jnum = numneigh[i];
+
+    for (jj = 0; jj < jnum; jj++) {
+      j = jlist[jj];
+      factor_lj = special_lj[sbmask(j)];
+      if (factor_lj == 0) continue;
+      j &= NEIGHMASK;
+
+      if (!(status[j] & STATUS_SOLID)) continue;
+
+      delx = xtmp - x[j][0];
+      dely = ytmp - x[j][1];
+      delz = ztmp - x[j][2];
+      rsq = delx * delx + dely * dely + delz * delz;
+      jtype = type[j];
+
+      if (rsq < cutsq[itype][jtype]) {
+        r = sqrt(rsq);
+
+        rinv = 1.0 / r;
+        fpair = k[itype][jtype] * (cut[itype][jtype] - r);
+
+        smooth = rsq / cutsq[itype][jtype];
+        smooth *= smooth;
+        smooth *= smooth;
+        smooth = 1.0 - smooth;
+        delvx = vxtmp - v[j][0];
+        delvy = vytmp - v[j][1];
+        delvz = vztmp - v[j][2];
+        dot = delx * delvx + dely * delvy + delz * delvz;
+        fpair -= gamma[itype][jtype] * dot * smooth * rinv;
+
+        fpair *= factor_lj * rinv;
+        if (eflag) evdwl = 0.0;
+
+        f[i][0] += delx * fpair;
+        f[i][1] += dely * fpair;
+        f[i][2] += delz * fpair;
+
+        if (newton_pair || j < nlocal) {
+          f[j][0] -= delx * fpair;
+          f[j][1] -= dely * fpair;
+          f[j][2] -= delz * fpair;
+        }
+
+        if (evflag) ev_tally(i, j, nlocal, newton_pair, evdwl, 0.0, fpair, delx, dely, delz);
+      }
+    }
+  }
+
+  if (vflag_fdotr) virial_fdotr_compute();
+}
+
+/* ----------------------------------------------------------------------
+   allocate all arrays
+------------------------------------------------------------------------- */
+
+void PairRHEOSolid::allocate()
+{
+  allocated = 1;
+  const int np1 = atom->ntypes + 1;
+
+  memory->create(setflag, np1, np1, "pair:setflag");
+  for (int i = 1; i < np1; i++)
+    for (int j = i; j < np1; j++) setflag[i][j] = 0;
+
+  memory->create(cutsq, np1, np1, "pair:cutsq");
+
+  memory->create(k, np1, np1, "pair:k");
+  memory->create(cut, np1, np1, "pair:cut");
+  memory->create(gamma, np1, np1, "pair:gamma");
+}
+
+/* ----------------------------------------------------------------------
+   global settings
+------------------------------------------------------------------------- */
+
+void PairRHEOSolid::settings(int narg, char ** /*arg*/)
+{
+  if (narg != 0) error->all(FLERR, "Illegal pair_style command");
+}
+
+/* ----------------------------------------------------------------------
+   set coeffs for one or more type pairs
+------------------------------------------------------------------------- */
+
+void PairRHEOSolid::coeff(int narg, char **arg)
+{
+  if (narg != 5) error->all(FLERR, "Incorrect args for pair coefficients");
+  if (!allocated) allocate();
+
+  int ilo, ihi, jlo, jhi;
+  utils::bounds(FLERR, arg[0], 1, atom->ntypes, ilo, ihi, error);
+  utils::bounds(FLERR, arg[1], 1, atom->ntypes, jlo, jhi, error);
+
+  double k_one = utils::numeric(FLERR, arg[2], false, lmp);
+  double cut_one = utils::numeric(FLERR, arg[3], false, lmp);
+  double gamma_one = utils::numeric(FLERR, arg[4], false, lmp);
+
+  if (cut_one <= 0.0) error->all(FLERR, "Incorrect args for pair coefficients");
+
+  int count = 0;
+  for (int i = ilo; i <= ihi; i++) {
+    for (int j = MAX(jlo, i); j <= jhi; j++) {
+      k[i][j] = k_one;
+      cut[i][j] = cut_one;
+      gamma[i][j] = gamma_one;
+
+      setflag[i][j] = 1;
+      count++;
+    }
+  }
+
+  if (count == 0) error->all(FLERR, "Incorrect args for pair coefficients");
+}
+
+/* ----------------------------------------------------------------------
+   init specific to this pair style
+------------------------------------------------------------------------- */
+
+void PairRHEOSolid::init_style()
+{
+  if (comm->ghost_velocity == 0)
+    error->all(FLERR,"Pair rheo/solid requires ghost atoms store velocity");
+
+  if (!atom->rheo_status_flag)
+    error->all(FLERR,"Pair rheo/solid requires atom_style rheo");
+
+  neighbor->add_request(this);
+}
+
+
+/* ----------------------------------------------------------------------
+   init for one type pair i,j and corresponding j,i
+------------------------------------------------------------------------- */
+
+double PairRHEOSolid::init_one(int i, int j)
+{
+  if (setflag[i][j] == 0) {
+    cut[i][j] = mix_distance(cut[i][i], cut[j][j]);
+    k[i][j] = mix_energy(k[i][i], k[j][j], cut[i][i], cut[j][j]);
+    gamma[i][j] = mix_energy(gamma[i][i], gamma[j][j], cut[i][i], cut[j][j]);
+  }
+
+  cut[j][i] = cut[i][j];
+  k[j][i] = k[i][j];
+  gamma[j][i] = gamma[i][j];
+
+  return cut[i][j];
+}
+
+/* ----------------------------------------------------------------------
+   proc 0 writes to restart file
+------------------------------------------------------------------------- */
+
+void PairRHEOSolid::write_restart(FILE *fp)
+{
+  write_restart_settings(fp);
+
+  int i, j;
+  for (i = 1; i <= atom->ntypes; i++)
+    for (j = i; j <= atom->ntypes; j++) {
+      fwrite(&setflag[i][j], sizeof(int), 1, fp);
+      if (setflag[i][j]) {
+        fwrite(&k[i][j], sizeof(double), 1, fp);
+        fwrite(&cut[i][j], sizeof(double), 1, fp);
+        fwrite(&gamma[i][j], sizeof(double), 1, fp);
+      }
+    }
+}
+
+/* ----------------------------------------------------------------------
+   proc 0 reads from restart file, bcasts
+------------------------------------------------------------------------- */
+
+void PairRHEOSolid::read_restart(FILE *fp)
+{
+  read_restart_settings(fp);
+  allocate();
+
+  int i, j;
+  int me = comm->me;
+  for (i = 1; i <= atom->ntypes; i++)
+    for (j = i; j <= atom->ntypes; j++) {
+      if (me == 0) utils::sfread(FLERR, &setflag[i][j], sizeof(int), 1, fp, nullptr, error);
+      MPI_Bcast(&setflag[i][j], 1, MPI_INT, 0, world);
+      if (setflag[i][j]) {
+        if (me == 0) {
+          utils::sfread(FLERR, &k[i][j], sizeof(double), 1, fp, nullptr, error);
+          utils::sfread(FLERR, &cut[i][j], sizeof(double), 1, fp, nullptr, error);
+          utils::sfread(FLERR, &gamma[i][j], sizeof(double), 1, fp, nullptr, error);
+        }
+        MPI_Bcast(&k[i][j], 1, MPI_DOUBLE, 0, world);
+        MPI_Bcast(&cut[i][j], 1, MPI_DOUBLE, 0, world);
+        MPI_Bcast(&gamma[i][j], 1, MPI_DOUBLE, 0, world);
+      }
+    }
+}
+
+/* ----------------------------------------------------------------------
+   proc 0 writes to data file
+------------------------------------------------------------------------- */
+
+void PairRHEOSolid::write_data(FILE *fp)
+{
+  for (int i = 1; i <= atom->ntypes; i++)
+    fprintf(fp, "%d %g %g %g\n", i, k[i][i], cut[i][i], gamma[i][i]);
+}
+
+/* ----------------------------------------------------------------------
+   proc 0 writes all pairs to data file
+------------------------------------------------------------------------- */
+
+void PairRHEOSolid::write_data_all(FILE *fp)
+{
+  for (int i = 1; i <= atom->ntypes; i++)
+    for (int j = i; j <= atom->ntypes; j++)
+      fprintf(fp, "%d %d %g %g %g\n", i, j, k[i][j], cut[i][j], gamma[i][j]);
+}
+
+/* ---------------------------------------------------------------------- */
+
+double PairRHEOSolid::single(int i, int j, int itype, int jtype, double rsq, double /*factor_coul*/,
+                             double factor_lj, double &fforce)
+{
+  double fpair, r, rinv;
+  double delx, dely, delz, delvx, delvy, delvz, dot, smooth;
+
+  if (rsq > cutsq[itype][jtype]) return 0.0;
+
+  int *status = atom->rheo_status;
+  if (!(status[i] & STATUS_SOLID)) return 0.0;
+  if (!(status[j] & STATUS_SOLID)) return 0.0;
+
+  double **x = atom->x;
+  double **v = atom->v;
+
+  r = sqrt(rsq);
+  rinv = 1.0 / r;
+
+  fpair = k[itype][jtype] * (cut[itype][jtype] - r);
+
+  smooth = rsq / cutsq[itype][jtype];
+  smooth *= smooth;
+  smooth = 1.0 - smooth;
+  delx = x[i][0] - x[j][0];
+  dely = x[i][1] - x[j][1];
+  delz = x[i][2] - x[j][2];
+  delvx = v[i][0] - v[j][0];
+  delvy = v[i][1] - v[j][1];
+  delvz = v[i][2] - v[j][2];
+  dot = delx * delvx + dely * delvy + delz * delvz;
+  fpair -= gamma[itype][jtype] * dot * rinv * smooth;
+
+  fpair *= factor_lj;
+  fforce = fpair;
+
+  return 0.0;
+}

src/RHEO/pair_rheo_solid.h

@@ -0,0 +1,51 @@
+/* -*- c++ -*- ----------------------------------------------------------
+   LAMMPS - Large-scale Atomic/Molecular Massively Parallel Simulator
+   https://www.lammps.org/, Sandia National Laboratories
+   LAMMPS development team: developers@lammps.org
+
+   Copyright (2003) Sandia Corporation.  Under the terms of Contract
+   DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government retains
+   certain rights in this software.  This software is distributed under
+   the GNU General Public License.
+
+   See the README file in the top-level LAMMPS directory.
+------------------------------------------------------------------------- */
+
+#ifdef PAIR_CLASS
+// clang-format off
+PairStyle(rheo/solid,PairRHEOSolid);
+// clang-format on
+#else
+
+#ifndef LMP_PAIR_RHEO_SOLID_H
+#define LMP_PAIR_RHEO_SOLID_H
+
+#include "pair.h"
+
+namespace LAMMPS_NS {
+
+class PairRHEOSolid : public Pair {
+ public:
+  PairRHEOSolid(class LAMMPS *);
+  ~PairRHEOSolid() override;
+  void compute(int, int) override;
+  void settings(int, char **) override;
+  void coeff(int, char **) override;
+  void init_style() override;
+  double init_one(int, int) override;
+  void write_restart(FILE *) override;
+  void read_restart(FILE *) override;
+  void write_data(FILE *) override;
+  void write_data_all(FILE *) override;
+  double single(int, int, int, int, double, double, double, double &) override;
+
+ protected:
+  double **k, **cut, **gamma;
+
+  void allocate();
+};
+
+}    // namespace LAMMPS_NS
+
+#endif
+#endif

src/atom.cpp

@@ -198,6 +198,13 @@ Atom::Atom(LAMMPS *_lmp) : Pointers(_lmp), atom_style(nullptr), avec(nullptr), a
   eff_plastic_strain_rate = nullptr;
   damage = nullptr;
 
+  // RHEO package
+
+  rheo_status = nullptr;
+  conductivity = nullptr;
+  pressure = nullptr;
+  viscosity = nullptr;
+
   // SPH package
 
   rho = drho = esph = desph = cv = nullptr;
@@ -529,6 +536,13 @@ void Atom::peratom_create()
   add_peratom("cc",&cc,DOUBLE,1);
   add_peratom("cc_flux",&cc_flux,DOUBLE,1,1);         // set per-thread flag
 
+  // RHEO package
+
+  add_peratom("rheo_status",&rheo_status,INT,0);
+  add_peratom("conductivity",&conductivity,DOUBLE,0);
+  add_peratom("pressure",&pressure,DOUBLE,0);
+  add_peratom("viscosity",&viscosity,DOUBLE,0);
+
   // SPH package
 
   add_peratom("rho",&rho,DOUBLE,0);
@@ -634,6 +648,7 @@ void Atom::set_atomflag_defaults()
   temperature_flag = heatflow_flag = 0;
   vfrac_flag = spin_flag = eradius_flag = ervel_flag = erforce_flag = 0;
   cs_flag = csforce_flag = vforce_flag = ervelforce_flag = etag_flag = 0;
+  rheo_status_flag = conductivity_flag = pressure_flag = viscosity_flag = 0;
   rho_flag = esph_flag = cv_flag = vest_flag = 0;
   dpd_flag = edpd_flag = tdpd_flag = 0;
   sp_flag = 0;
@@ -3048,7 +3063,15 @@ void *Atom::extract(const char *name)
   if (strcmp(name,"vforce") == 0) return (void *) vforce;
   if (strcmp(name,"etag") == 0) return (void *) etag;
 
+  // RHEO package
+
+  if (strcmp(name,"rheo_status") == 0) return (void *) rheo_status;
+  if (strcmp(name,"conductivity") == 0) return (void *) conductivity;
+  if (strcmp(name,"pressure") == 0) return (void *) pressure;
+  if (strcmp(name,"viscosity") == 0) return (void *) viscosity;
+
   // SPH package
+
   if (strcmp(name,"rho") == 0) return (void *) rho;
   if (strcmp(name,"drho") == 0) return (void *) drho;
   if (strcmp(name,"esph") == 0) return (void *) esph;
@@ -3169,6 +3192,15 @@ int Atom::extract_datatype(const char *name)
   if (strcmp(name,"vforce") == 0) return LAMMPS_DOUBLE_2D;
   if (strcmp(name,"etag") == 0) return LAMMPS_INT;
 
+  // RHEO package
+
+  if (strcmp(name,"rheo_status") == 0) return LAMMPS_INT;
+  if (strcmp(name,"conductivity") == 0) return LAMMPS_DOUBLE;
+  if (strcmp(name,"pressure") == 0) return LAMMPS_DOUBLE;
+  if (strcmp(name,"viscosity") == 0) return LAMMPS_DOUBLE;
+
+  // SPH package
+
   if (strcmp(name,"rho") == 0) return LAMMPS_DOUBLE;
   if (strcmp(name,"drho") == 0) return LAMMPS_DOUBLE;
   if (strcmp(name,"esph") == 0) return LAMMPS_DOUBLE;

src/atom.h

@@ -155,6 +155,13 @@ class Atom : protected Pointers {
   double *eff_plastic_strain_rate;
   double *damage;
 
+  // RHEO package
+
+  int *rheo_status;
+  double *conductivity;
+  double *pressure;
+  double *viscosity;
+
   // SPH package
 
   double *rho, *drho, *esph, *desph, *cv;
@@ -190,6 +197,7 @@ class Atom : protected Pointers {
   int temperature_flag, heatflow_flag;
   int vfrac_flag, spin_flag, eradius_flag, ervel_flag, erforce_flag;
   int cs_flag, csforce_flag, vforce_flag, ervelforce_flag, etag_flag;
+  int rheo_status_flag, conductivity_flag, pressure_flag, viscosity_flag;
   int rho_flag, esph_flag, cv_flag, vest_flag;
   int dpd_flag, edpd_flag, tdpd_flag;
   int mesont_flag;

src/bond_hybrid.cpp

@@ -34,6 +34,7 @@ BondHybrid::BondHybrid(LAMMPS *lmp) : Bond(lmp)
   nstyles = 0;
   has_quartic = -1;
   nbondlist = nullptr;
+  orig_map = nullptr;
   maxbond = nullptr;
   bondlist = nullptr;
 }
@@ -81,6 +82,10 @@ void BondHybrid::compute(int eflag, int vflag)
         memory->destroy(bondlist[m]);
         maxbond[m] = nbondlist[m] + EXTRA;
         memory->create(bondlist[m], maxbond[m], 3, "bond_hybrid:bondlist");
+        if (partial_flag) {
+          memory->destroy(orig_map[m]);
+          memory->create(orig_map[m], maxbond[m], "bond_hybrid:orig_map");
+        }
       }
       nbondlist[m] = 0;
     }
@@ -91,6 +96,8 @@ void BondHybrid::compute(int eflag, int vflag)
       bondlist[m][n][0] = bondlist_orig[i][0];
       bondlist[m][n][1] = bondlist_orig[i][1];
       bondlist[m][n][2] = bondlist_orig[i][2];
+      if (partial_flag)
+        orig_map[m][n] = i;
       nbondlist[m]++;
     }
   }
@@ -135,6 +142,21 @@ void BondHybrid::compute(int eflag, int vflag)
     }
   }
 
+  // If bond style can be deleted by setting type to zero (BPM or quartic), update bondlist_orig
+  //   Otherwise, bond type could be restored back to its original value during reneighboring
+  //   Use orig_map to propagate changes from temporary bondlist array back to original array
+
+  if (partial_flag) {
+    for (m = 0; m < nstyles; m++) {
+      for (i = 0; i < nbondlist[m]; i++) {
+        if (bondlist[m][i][2] <= 0) {
+          n = orig_map[m][i];
+          bondlist_orig[n][2] = bondlist[m][i][2];
+        }
+      }
+    }
+  }
+
   // restore ptrs to original bondlist
 
   neighbor->nbondlist = nbondlist_orig;
@@ -154,9 +176,11 @@ void BondHybrid::allocate()
 
   nbondlist = new int[nstyles];
   maxbond = new int[nstyles];
+  orig_map = new int *[nstyles];
   bondlist = new int **[nstyles];
   for (int m = 0; m < nstyles; m++) maxbond[m] = 0;
   for (int m = 0; m < nstyles; m++) bondlist[m] = nullptr;
+  for (int m = 0; m < nstyles; m++) orig_map[m] = nullptr;
 }
 
 /* ---------------------------------------------------------------------- */
@@ -173,6 +197,8 @@ void BondHybrid::deallocate()
   delete[] maxbond;
   for (int i = 0; i < nstyles; i++) memory->destroy(bondlist[i]);
   delete[] bondlist;
+  for (int i = 0; i < nstyles; i++) memory->destroy(orig_map[i]);
+  delete[] orig_map;
 }
 
 /* ----------------------------------------------------------------------
@@ -260,8 +286,13 @@ void BondHybrid::flags()
     if (styles[m]) comm_forward = MAX(comm_forward, styles[m]->comm_forward);
     if (styles[m]) comm_reverse = MAX(comm_reverse, styles[m]->comm_reverse);
     if (styles[m]) comm_reverse_off = MAX(comm_reverse_off, styles[m]->comm_reverse_off);
+    if (styles[m]) partial_flag = MAX(partial_flag, styles[m]->partial_flag);
   }
 
+  for (m = 0; m < nstyles; m++)
+    if (styles[m]->partial_flag != partial_flag)
+      error->all(FLERR, "Cannot hybridize bond styles with different topology settings");
+
   init_svector();
 }
 
@@ -351,6 +382,7 @@ void BondHybrid::init_style()
   // to create an entry for it in the bond type to sub-style map
 
   if (has_quartic >= 0) map[0] = has_quartic;
+  else map[0] = -1;
 }
 
 /* ----------------------------------------------------------------------