Merge branch 'feature-grey-area-turbulence' into 'develop'

Integration of grey area turbulence models from Upstream CFD

See merge request Development/openfoam!560

src/OpenFOAM/primitives/Scalar/scalar/scalar.C

@@ -40,6 +40,24 @@ Foam::scalar Foam::readScalar(Istream& is)
 }
 
 
+Foam::scalar Foam::readScalarOrDefault(Istream& is, const scalar defaultValue)
+{
+    if (is.good())
+    {
+        token tok(is);
+
+        if (tok.isNumber())
+        {
+            return tok.scalarToken();
+        }
+
+        is.putBack(tok);
+    }
+
+    return defaultValue;
+}
+
+
 Foam::scalar Foam::readRawScalar(Istream& is)
 {
     scalar val(0);

src/OpenFOAM/primitives/Scalar/scalar/scalar.H

@@ -103,6 +103,9 @@ namespace Foam
     //- Read scalar from stream.
     scalar readScalar(Istream& is);
 
+    //- Read scalar from stream if present or return default value
+    scalar readScalarOrDefault(Istream& is, const scalar defaultValue);
+
     //- Read raw scalar from binary stream.
     //  \note No internal check for binary vs ascii,
     //        the caller knows what they are doing
@@ -172,6 +175,9 @@ namespace Foam
     //- Read scalar from stream.
     scalar readScalar(Istream& is);
 
+    //- Read scalar from stream if present or return default value
+    scalar readScalarOrDefault(Istream& is, const scalar defaultValue);
+
     //- Read raw scalar from binary stream.
     //  \note No internal check for binary vs ascii,
     //        the caller knows what they are doing

src/TurbulenceModels/incompressible/turbulentTransportModels/turbulentTransportModels.C

@@ -126,6 +126,9 @@ makeLESModel(dynamicKEqn);
 #include "dynamicLagrangian.H"
 makeLESModel(dynamicLagrangian);
 
+#include "sigma.H"
+makeLESModel(sigma);
+
 #include "SpalartAllmarasDES.H"
 makeLESModel(SpalartAllmarasDES);
 

src/TurbulenceModels/schemes/DEShybrid/DEShybrid.H

@@ -7,6 +7,7 @@
 -------------------------------------------------------------------------------
     Copyright (C) 2015 OpenFOAM Foundation
     Copyright (C) 2015-2022 OpenCFD Ltd.
+    Copyright (C) 2022 Upstream CFD GmbH
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -28,7 +29,8 @@ Class
     Foam::DEShybrid
 
 Description
-    Hybrid convection scheme of Travin et al. for hybrid RAS/LES calculations.
+    Improved hybrid convection scheme of Travin et al. for hybrid RAS/LES
+    calculations with enhanced Grey Area Mitigation (GAM) behaviour.
 
     The scheme provides a blend between two convection schemes, based on local
     properties including the wall distance, velocity gradient and eddy
@@ -53,25 +55,26 @@ Description
 
     First published in:
     \verbatim
-        A. Travin, M. Shur, M. Strelets, P. Spalart (2000).
+        Travin, A., Shur, M., Strelets, M., & Spalart, P. R. (2000).
-        Physical and numerical upgrades in the detached-eddy simulation of
+        Physical and numerical upgrades in the detached-eddy
-        complex turbulent flows.
+        simulation of complex turbulent flows.
-        In Proceedings of the 412th Euromech Colloquium on LES and Complex
+        In LES of Complex Transitional and Turbulent Flows.
-        Transition and Turbulent Flows, Munich, Germany
+        Proceedings of the Euromech Colloquium 412. Munich, Germany
     \endverbatim
 
-    Original publication contained a typo for C_H3 constant. Corrected version
+    Original publication contained a typo for \c C_H3 constant.
-    with minor changes for 2 lower limiters published in:
+    Corrected version with minor changes for 2 lower limiters published in:
     \verbatim
-        P. Spalart, M. Shur, M. Strelets, A. Travin (2012).
+        Spalart, P., Shur, M., Strelets, M., & Travin, A. (2012).
-        Sensitivity of Landing-Gear Noise Predictions by Large-Eddy
+        Sensitivity of landing-gear noise predictions by large-eddy
-        Simulation to Numerics and Resolution.
+        simulation to numerics and resolution.
-        AIAA Paper 2012-1174, 50th AIAA Aerospace Sciences Meeting,
+        In 50th AIAA Aerospace Sciences Meeting Including the
-        Nashville / TN, Jan. 2012
+        New Horizons Forum and Aerospace Exposition. Nashville, US.
+        DOI:10.2514/6.2012-1174
     \endverbatim
 
-    Example of the DEShybrid scheme specification using linear within the LES
+    Example of the \c DEShybrid scheme specification using \c linear
-    region and linearUpwind within the RAS region:
+    within the LES region and \c linearUpwind within the RAS region:
     \verbatim
     divSchemes
     {
@@ -80,13 +83,14 @@ Description
         div(phi,U)      Gauss DEShybrid
             linear                    // scheme 1
             linearUpwind grad(U)      // scheme 2
-            hmax                      // LES delta name, e.g. 'delta', 'hmax'
+            delta                     // LES delta name, e.g. 'delta', 'hmax'
-            0.65                      // DES coefficient, typically = 0.65
+            0.65                      // CDES coefficient
             30                        // Reference velocity scale
             2                         // Reference length scale
             0                         // Minimum sigma limit (0-1)
             1                         // Maximum sigma limit (0-1)
-            1.0e-03;                  // Limiter of B function, typically 1e-03
+            1.0e-03                   // Limiter of B function, typically 1e-03
+            1.0;                      // nut limiter (if > 1, GAM extension is active)
         .
         .
     }
@@ -97,12 +101,12 @@ Notes
     be used in the detached/vortex shedding regions.
   - Scheme 2 should be an upwind/deferred correction/TVD scheme which will
     be used in the free-stream/Euler/boundary layer regions.
-  - the scheme is compiled into a separate library, and not available to
+  - The scheme is compiled into a separate library, and not available to
     solvers by default.  In order to use the scheme, add the library as a
     run-time loaded library in the \$FOAM\_CASE/system/controlDict
     dictionary, e.g.:
     \verbatim
-        libs ("libturbulenceModelSchemes.so");
+        libs (turbulenceModelSchemes);
     \endverbatim
 
 SourceFiles
@@ -110,15 +114,14 @@ SourceFiles
 
 \*---------------------------------------------------------------------------*/
 
-#ifndef DEShybrid_H
+#ifndef Foam_DEShybrid_H
-#define DEShybrid_H
+#define Foam_DEShybrid_H
 
 #include "surfaceInterpolationScheme.H"
 #include "surfaceInterpolate.H"
 #include "fvcGrad.H"
 #include "blendedSchemeBase.H"
-#include "turbulentTransportModel.H"
+#include "turbulenceModel.H"
-#include "turbulentFluidThermoModel.H"
 
 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
@@ -135,6 +138,9 @@ class DEShybrid
     public surfaceInterpolationScheme<Type>,
     public blendedSchemeBase<Type>
 {
+    typedef GeometricField<Type, fvPatchField, volMesh> VolFieldType;
+    typedef GeometricField<Type, fvsPatchField, surfaceMesh> SurfaceFieldType;
+
     // Private Data
 
         //- Scheme 1
@@ -146,7 +152,7 @@ class DEShybrid
         //- Name of the LES delta field
         word deltaName_;
 
-        //- DES Coefficient
+        //- DES coefficient
         scalar CDES_;
 
         //- Reference velocity scale [m/s]
@@ -164,10 +170,14 @@ class DEShybrid
         //- Limiter of B function
         scalar OmegaLim_;
 
+        //- Limiter for modified GAM behaviour
+        scalar nutLim_;
+
         //- Scheme constants
         scalar CH1_;
         scalar CH2_;
         scalar CH3_;
+        scalar Cs_;
 
         //- No copy construct
         DEShybrid(const DEShybrid&) = delete;
@@ -178,51 +188,108 @@ class DEShybrid
 
     // Private Member Functions
 
+        //- Check the scheme coefficients
+        void checkValues()
+        {
+            if (U0_.value() <= 0)
+            {
+                FatalErrorInFunction
+                    << "U0 coefficient must be > 0. "
+                    << "Current value: " << U0_ << exit(FatalError);
+            }
+            if (L0_.value() <= 0)
+            {
+                FatalErrorInFunction
+                    << "L0 coefficient must be > 0. "
+                    << "Current value: " << L0_ << exit(FatalError);
+            }
+            if (sigmaMin_ < 0)
+            {
+                FatalErrorInFunction
+                    << "sigmaMin coefficient must be >= 0. "
+                    << "Current value: " << sigmaMin_ << exit(FatalError);
+            }
+            if (sigmaMax_ < 0)
+            {
+                FatalErrorInFunction
+                    << "sigmaMax coefficient must be >= 0. "
+                    << "Current value: " << sigmaMax_ << exit(FatalError);
+            }
+            if (sigmaMin_ > 1)
+            {
+                FatalErrorInFunction
+                    << "sigmaMin coefficient must be <= 1. "
+                    << "Current value: " << sigmaMin_ << exit(FatalError);
+            }
+            if (sigmaMax_ > 1)
+            {
+                FatalErrorInFunction
+                    << "sigmaMax coefficient must be <= 1. "
+                    << "Current value: " << sigmaMax_ << exit(FatalError);
+            }
+
+            if (debug)
+            {
+                Info<< type() << "coefficients:" << nl
+                    << "    delta : " << deltaName_ << nl
+                    << "    CDES : " << CDES_ << nl
+                    << "    U0 : " << U0_.value() << nl
+                    << "    L0 : " << L0_.value() << nl
+                    << "    sigmaMin : " << sigmaMin_ << nl
+                    << "    sigmaMax : " << sigmaMax_ << nl
+                    << "    OmegaLim : " << OmegaLim_ << nl
+                    << "    nutLim : " << nutLim_ << nl
+                    << "    CH1 : " << CH1_ << nl
+                    << "    CH2 : " << CH2_ << nl
+                    << "    CH3 : " << CH3_ << nl
+                    << "    Cs : " << Cs_ << nl
+                    << endl;
+            }
+        }
+
+
         //- Calculate the blending factor
         tmp<surfaceScalarField> calcBlendingFactor
         (
-            const GeometricField<Type, fvPatchField, volMesh>& vf,
+            const VolFieldType& vf,
-            const volScalarField& nuEff,
+            const volScalarField& nut,
+            const volScalarField& nu,
             const volVectorField& U,
             const volScalarField& delta
         ) const
         {
-            tmp<volTensorField> gradU(fvc::grad(U));
+            tmp<volTensorField> tgradU = fvc::grad(U);
-            const volScalarField S(sqrt(2.0)*mag(symm(gradU())));
+            const volTensorField& gradU = tgradU.cref();
-            const volScalarField Omega(sqrt(2.0)*mag(skew(gradU())));
+            const volScalarField S(sqrt(2.0)*mag(symm(gradU)));
+            const volScalarField Omega(sqrt(2.0)*mag(skew(tgradU)));
             const dimensionedScalar tau0_ = L0_/U0_;
 
-            const volScalarField B
+            tmp<volScalarField> tB =
-            (
                 CH3_*Omega*max(S, Omega)
-               /max(0.5*(sqr(S) + sqr(Omega)), sqr(OmegaLim_/tau0_))
+               /max(0.5*(sqr(S) + sqr(Omega)), sqr(OmegaLim_/tau0_));
-            );
 
-            const volScalarField K
+            tmp<volScalarField> tg = tanh(pow4(tB));
-            (
-                max(Foam::sqrt(0.5*(sqr(S) + sqr(Omega))), 0.1/tau0_)
-            );
 
-            const volScalarField lTurb
+            tmp<volScalarField> tK =
-            (
+                max(Foam::sqrt(0.5*(sqr(S) + sqr(Omega))), 0.1/tau0_);
+
+            tmp<volScalarField> tlTurb =
                 Foam::sqrt
                 (
                     max
                     (
-                        nuEff/(pow(0.09, 1.5)*K),
+                        (max(nut, min(sqr(Cs_*delta)*S, nutLim_*nut)) + nu)
-                        dimensionedScalar("l0", sqr(dimLength), 0)
+                       /(pow(0.09, 1.5)*tK),
-                    )
+                        dimensionedScalar(sqr(dimLength), Zero)
                     )
                 );
 
-            const volScalarField g(tanh(pow4(B)));
-
             const volScalarField A
             (
                 CH2_*max
                 (
                     scalar(0),
-                    CDES_*delta/max(lTurb*g, SMALL*L0_) - 0.5
+                    CDES_*delta/max(tlTurb*tg, SMALL*L0_) - 0.5
                 )
             );
 
@@ -297,14 +364,8 @@ public:
         DEShybrid(const fvMesh& mesh, Istream& is)
         :
             surfaceInterpolationScheme<Type>(mesh),
-            tScheme1_
+            tScheme1_(surfaceInterpolationScheme<Type>::New(mesh, is)),
-            (
+            tScheme2_(surfaceInterpolationScheme<Type>::New(mesh, is)),
-                surfaceInterpolationScheme<Type>::New(mesh, is)
-            ),
-            tScheme2_
-            (
-                surfaceInterpolationScheme<Type>::New(mesh, is)
-            ),
             deltaName_(is),
             CDES_(readScalar(is)),
             U0_("U0", dimLength/dimTime, readScalar(is)),
@@ -312,46 +373,13 @@ public:
             sigmaMin_(readScalar(is)),
             sigmaMax_(readScalar(is)),
             OmegaLim_(readScalar(is)),
+            nutLim_(readScalarOrDefault(is, scalar(1))),
             CH1_(3.0),
             CH2_(1.0),
-            CH3_(2.0)
+            CH3_(2.0),
+            Cs_(0.18)
         {
-            if (U0_.value() <= 0)
+            checkValues();
-            {
-                FatalErrorInFunction
-                    << "U0 coefficient must be > 0. "
-                    << "Current value: " << U0_ << exit(FatalError);
-            }
-            if (L0_.value() <= 0)
-            {
-                FatalErrorInFunction
-                    << "L0 coefficient must be > 0. "
-                    << "Current value: " << L0_ << exit(FatalError);
-            }
-            if (sigmaMin_ < 0)
-            {
-                FatalErrorInFunction
-                    << "sigmaMin coefficient must be >= 0. "
-                    << "Current value: " << sigmaMin_ << exit(FatalError);
-            }
-            if (sigmaMax_ < 0)
-            {
-                FatalErrorInFunction
-                    << "sigmaMax coefficient must be >= 0. "
-                    << "Current value: " << sigmaMax_ << exit(FatalError);
-            }
-            if (sigmaMin_ > 1)
-            {
-                FatalErrorInFunction
-                    << "sigmaMin coefficient must be <= 1. "
-                    << "Current value: " << sigmaMin_ << exit(FatalError);
-            }
-            if (sigmaMax_ > 1)
-            {
-                FatalErrorInFunction
-                    << "sigmaMax coefficient must be <= 1. "
-                    << "Current value: " << sigmaMax_ << exit(FatalError);
-            }
         }
 
         //- Construct from mesh, faceFlux and Istream
@@ -378,46 +406,13 @@ public:
             sigmaMin_(readScalar(is)),
             sigmaMax_(readScalar(is)),
             OmegaLim_(readScalar(is)),
+            nutLim_(readScalarOrDefault(is, scalar(1))),
             CH1_(3.0),
             CH2_(1.0),
-            CH3_(2.0)
+            CH3_(2.0),
+            Cs_(0.18)
         {
-            if (U0_.value() <= 0)
+            checkValues();
-            {
-                FatalErrorInFunction
-                    << "U0 coefficient must be > 0. "
-                    << "Current value: " << U0_ << exit(FatalError);
-            }
-            if (L0_.value() <= 0)
-            {
-                FatalErrorInFunction
-                    << "L0 coefficient must be > 0. "
-                    << "Current value: " << U0_ << exit(FatalError);
-            }
-            if (sigmaMin_ < 0)
-            {
-                FatalErrorInFunction
-                    << "sigmaMin coefficient must be >= 0. "
-                    << "Current value: " << sigmaMin_ << exit(FatalError);
-            }
-            if (sigmaMax_ < 0)
-            {
-                FatalErrorInFunction
-                    << "sigmaMax coefficient must be >= 0. "
-                    << "Current value: " << sigmaMax_ << exit(FatalError);
-            }
-            if (sigmaMin_ > 1)
-            {
-                FatalErrorInFunction
-                    << "sigmaMin coefficient must be <= 1. "
-                    << "Current value: " << sigmaMin_ << exit(FatalError);
-            }
-            if (sigmaMax_ > 1)
-            {
-                FatalErrorInFunction
-                    << "sigmaMax coefficient must be <= 1. "
-                    << "Current value: " << sigmaMax_ << exit(FatalError);
-            }
         }
 
 
@@ -431,33 +426,24 @@ public:
         {
             const fvMesh& mesh = this->mesh();
 
-            typedef compressible::turbulenceModel cmpModel;
+            // Retrieve LES delta from the mesh database
-            typedef incompressible::turbulenceModel icoModel;
+            const auto& delta =
+                mesh.lookupObject<const volScalarField>(deltaName_);
 
-            // Lookup the LES delta from the mesh database
+            // Retrieve turbulence model from the mesh database
-            const volScalarField& delta = this->mesh().template
+            const auto* modelPtr =
-                 lookupObject<const volScalarField>(deltaName_);
+                mesh.cfindObject<turbulenceModel>
+                (
+                    turbulenceModel::propertiesName
+                );
 
-            // Could avoid the compressible/incompressible case by looking
+            if (modelPtr)
-            // up all fields from the database - but retrieving from model
-            // ensures consistent fields are being employed e.g. for multiphase
-            // where group name is used
-
-            if (mesh.foundObject<icoModel>(icoModel::propertiesName))
             {
-                const icoModel& model =
+                const auto& model = *modelPtr;
-                    mesh.lookupObject<icoModel>(icoModel::propertiesName);
-
-                return calcBlendingFactor(vf, model.nuEff(), model.U(), delta);
-            }
-            else if (mesh.foundObject<cmpModel>(cmpModel::propertiesName))
-            {
-                const cmpModel& model =
-                    mesh.lookupObject<cmpModel>(cmpModel::propertiesName);
 
                 return calcBlendingFactor
                 (
-                    vf, model.muEff()/model.rho(), model.U(), delta
+                    vf, model.nut(), model.nu(), model.U(), delta
                 );
             }
 
@@ -471,12 +457,9 @@ public:
 
 
         //- Return the interpolation weighting factors
-        tmp<surfaceScalarField> weights
+        tmp<surfaceScalarField> weights(const VolFieldType& vf) const
-        (
-            const GeometricField<Type, fvPatchField, volMesh>& vf
-        ) const
         {
-            surfaceScalarField bf(blendingFactor(vf));
+            const surfaceScalarField bf(blendingFactor(vf));
 
             return
                 (scalar(1) - bf)*tScheme1_().weights(vf)
@@ -485,14 +468,10 @@ public:
 
 
         //- Return the face-interpolate of the given cell field
-        //  with explicit correction
+        //- with explicit correction
-        tmp<GeometricField<Type, fvsPatchField, surfaceMesh>>
+        tmp<SurfaceFieldType> interpolate(const VolFieldType& vf) const
-        interpolate
-        (
-            const GeometricField<Type, fvPatchField, volMesh>& vf
-        ) const
         {
-            surfaceScalarField bf(blendingFactor(vf));
+            const surfaceScalarField bf(blendingFactor(vf));
 
             return
                 (scalar(1) - bf)*tScheme1_().interpolate(vf)
@@ -508,14 +487,10 @@ public:
 
 
         //- Return the explicit correction to the face-interpolate
-        //  for the given field
+        //- for the given field
-        virtual tmp<GeometricField<Type, fvsPatchField, surfaceMesh>>
+        virtual tmp<SurfaceFieldType> correction(const VolFieldType& vf) const
-        correction
-        (
-            const GeometricField<Type, fvPatchField, volMesh>& vf
-        ) const
         {
-            surfaceScalarField bf(blendingFactor(vf));
+            const surfaceScalarField bf(blendingFactor(vf));
 
             if (tScheme1_().corrected())
             {

src/TurbulenceModels/schemes/Make/options

@@ -1,19 +1,9 @@
 EXE_INC = \
     -I$(LIB_SRC)/finiteVolume/lnInclude \
     -I$(LIB_SRC)/meshTools/lnInclude \
-    -I$(LIB_SRC)/transportModels \
+    -I$(LIB_SRC)/TurbulenceModels/turbulenceModels/lnInclude
-    -I$(LIB_SRC)/transportModels/compressible/lnInclude \
-    -I$(LIB_SRC)/TurbulenceModels/turbulenceModels/lnInclude \
-    -I$(LIB_SRC)/TurbulenceModels/incompressible/lnInclude \
-    -I$(LIB_SRC)/TurbulenceModels/compressible/lnInclude \
-    -I$(LIB_SRC)/thermophysicalModels/basic/lnInclude
 
 LIB_LIBS = \
     -lfiniteVolume \
     -lmeshTools \
-    -lcompressibleTransportModels \
+    -lturbulenceModels
-    -lturbulenceModels \
-    -lincompressibleTurbulenceModels \
-    -lincompressibleTransportModels \
-    -lcompressibleTurbulenceModels \
-    -lfluidThermophysicalModels

src/TurbulenceModels/turbulenceModels/Base/SpalartAllmaras/SpalartAllmarasBase.C

@@ -0,0 +1,499 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | www.openfoam.com
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+    Copyright (C) 2011-2016 OpenFOAM Foundation
+    Copyright (C) 2016-2022 OpenCFD Ltd.
+-------------------------------------------------------------------------------
+License
+    This file is part of OpenFOAM.
+
+    OpenFOAM is free software: you can redistribute it and/or modify it
+    under the terms of the GNU General Public License as published by
+    the Free Software Foundation, either version 3 of the License, or
+    (at your option) any later version.
+
+    OpenFOAM is distributed in the hope that it will be useful, but WITHOUT
+    ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+    FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+    for more details.
+
+    You should have received a copy of the GNU General Public License
+    along with OpenFOAM.  If not, see <http://www.gnu.org/licenses/>.
+
+\*---------------------------------------------------------------------------*/
+
+#include "SpalartAllmarasBase.H"
+#include "wallDist.H"
+#include "bound.H"
+#include "fvOptions.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+
+// * * * * * * * * * * * * Protected Member Functions  * * * * * * * * * * * //
+
+template<class BasicEddyViscosityModel>
+tmp<volScalarField> SpalartAllmarasBase<BasicEddyViscosityModel>::chi() const
+{
+    return nuTilda_/this->nu();
+}
+
+
+template<class BasicEddyViscosityModel>
+tmp<volScalarField> SpalartAllmarasBase<BasicEddyViscosityModel>::fv1
+(
+    const volScalarField& chi
+) const
+{
+    const volScalarField chi3("chi3", pow3(chi));
+    return chi3/(chi3 + pow3(Cv1_));
+}
+
+
+template<class BasicEddyViscosityModel>
+tmp<volScalarField> SpalartAllmarasBase<BasicEddyViscosityModel>::fv2
+(
+    const volScalarField& chi,
+    const volScalarField& fv1
+) const
+{
+    return scalar(1) - chi/(scalar(1) + chi*fv1);
+}
+
+
+template<class BasicEddyViscosityModel>
+tmp<volScalarField> SpalartAllmarasBase<BasicEddyViscosityModel>::ft2
+(
+    const volScalarField& chi
+) const
+{
+    if (ft2_)
+    {
+        return Ct3_*exp(-Ct4_*sqr(chi));
+    }
+
+    return tmp<volScalarField>::New
+    (
+        IOobject
+        (
+            "ft2",
+            this->runTime_.timeName(),
+            this->mesh_,
+            IOobject::NO_READ,
+            IOobject::NO_WRITE
+        ),
+        this->mesh_,
+        dimensionedScalar(dimless, Zero)
+    );
+}
+
+
+template<class BasicEddyViscosityModel>
+tmp<volScalarField> SpalartAllmarasBase<BasicEddyViscosityModel>::Omega
+(
+    const volTensorField& gradU
+) const
+{
+    return sqrt(2.0)*mag(skew(gradU));
+}
+
+
+template<class BasicEddyViscosityModel>
+tmp<volScalarField> SpalartAllmarasBase<BasicEddyViscosityModel>::r
+(
+    const volScalarField& nur,
+    const volScalarField& Stilda,
+    const volScalarField& dTilda
+) const
+{
+    const dimensionedScalar eps(Stilda.dimensions(), SMALL);
+
+    tmp<volScalarField> tr =
+        min(nur/(max(Stilda, eps)*sqr(kappa_*dTilda)), scalar(10));
+
+    tr.ref().boundaryFieldRef() == 0;
+
+    return tr;
+}
+
+
+template<class BasicEddyViscosityModel>
+tmp<volScalarField::Internal> SpalartAllmarasBase<BasicEddyViscosityModel>::fw
+(
+    const volScalarField& Stilda,
+    const volScalarField& dTilda
+) const
+{
+    const volScalarField::Internal r(this->r(nuTilda_, Stilda, dTilda)()());
+    const volScalarField::Internal g(r + Cw2_*(pow6(r) - r));
+
+    return g*pow((1 + pow6(Cw3_))/(pow6(g) + pow6(Cw3_)), 1.0/6.0);
+}
+
+
+template<class BasicEddyViscosityModel>
+tmp<volScalarField> SpalartAllmarasBase<BasicEddyViscosityModel>::Stilda
+(
+    const volScalarField& chi,
+    const volScalarField& fv1,
+    const volTensorField& gradU,
+    const volScalarField& dTilda
+) const
+{
+    const volScalarField Omega(this->Omega(gradU));
+
+    return
+        max
+        (
+            Omega + fv2(chi, fv1)*nuTilda_/sqr(kappa_*dTilda),
+            Cs_*Omega
+        );
+}
+
+
+template<class BasicEddyViscosityModel>
+void SpalartAllmarasBase<BasicEddyViscosityModel>::correctNut
+(
+    const volScalarField& fv1
+)
+{
+    this->nut_ = nuTilda_*fv1;
+    this->nut_.correctBoundaryConditions();
+    fv::options::New(this->mesh_).correct(this->nut_);
+}
+
+
+template<class BasicEddyViscosityModel>
+void SpalartAllmarasBase<BasicEddyViscosityModel>::correctNut()
+{
+    correctNut(fv1(this->chi()));
+}
+
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+template<class BasicEddyViscosityModel>
+SpalartAllmarasBase<BasicEddyViscosityModel>::SpalartAllmarasBase
+(
+    const word& type,
+    const alphaField& alpha,
+    const rhoField& rho,
+    const volVectorField& U,
+    const surfaceScalarField& alphaRhoPhi,
+    const surfaceScalarField& phi,
+    const transportModel& transport,
+    const word& propertiesName
+)
+:
+    BasicEddyViscosityModel
+    (
+        type,
+        alpha,
+        rho,
+        U,
+        alphaRhoPhi,
+        phi,
+        transport,
+        propertiesName
+    ),
+
+    sigmaNut_
+    (
+        dimensioned<scalar>::getOrAddToDict
+        (
+            "sigmaNut",
+            this->coeffDict_,
+            0.66666
+        )
+    ),
+    kappa_
+    (
+        dimensioned<scalar>::getOrAddToDict
+        (
+            "kappa",
+            this->coeffDict_,
+            0.41
+        )
+    ),
+    Cb1_
+    (
+        dimensioned<scalar>::getOrAddToDict
+        (
+            "Cb1",
+            this->coeffDict_,
+            0.1355
+        )
+    ),
+    Cb2_
+    (
+        dimensioned<scalar>::getOrAddToDict
+        (
+            "Cb2",
+            this->coeffDict_,
+            0.622
+        )
+    ),
+    Cw1_(Cb1_/sqr(kappa_) + (1.0 + Cb2_)/sigmaNut_),
+    Cw2_
+    (
+        dimensioned<scalar>::getOrAddToDict
+        (
+            "Cw2",
+            this->coeffDict_,
+            0.3
+        )
+    ),
+    Cw3_
+    (
+        dimensioned<scalar>::getOrAddToDict
+        (
+            "Cw3",
+            this->coeffDict_,
+            2.0
+        )
+    ),
+    Cv1_
+    (
+        dimensioned<scalar>::getOrAddToDict
+        (
+            "Cv1",
+            this->coeffDict_,
+            7.1
+        )
+    ),
+    Cs_
+    (
+        dimensioned<scalar>::getOrAddToDict
+        (
+            "Cs",
+            this->coeffDict_,
+            0.3
+        )
+    ),
+    ck_
+    (
+        dimensioned<scalar>::getOrAddToDict
+        (
+            "ck",
+            this->coeffDict_,
+            0.07
+        )
+    ),
+    ft2_
+    (
+        Switch::getOrAddToDict
+        (
+            "ft2",
+            this->coeffDict_,
+            false
+        )
+    ),
+    Ct3_
+    (
+        dimensioned<scalar>::getOrAddToDict
+        (
+            "Ct3",
+            this->coeffDict_,
+            1.2
+        )
+    ),
+    Ct4_
+    (
+        dimensioned<scalar>::getOrAddToDict
+        (
+            "Ct4",
+            this->coeffDict_,
+            0.5
+        )
+    ),
+
+    nuTilda_
+    (
+        IOobject
+        (
+            "nuTilda",
+            this->runTime_.timeName(),
+            this->mesh_,
+            IOobject::MUST_READ,
+            IOobject::AUTO_WRITE
+        ),
+        this->mesh_
+    ),
+
+    y_(wallDist::New(this->mesh_).y())
+{
+    if (ft2_)
+    {
+        Info<< "ft2 term: active" << nl;
+    }
+    else
+    {
+        Info<< "ft2 term: inactive" << nl;
+    }
+}
+
+
+// * * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * //
+
+template<class BasicEddyViscosityModel>
+bool SpalartAllmarasBase<BasicEddyViscosityModel>::read()
+{
+    if (BasicEddyViscosityModel::read())
+    {
+        sigmaNut_.readIfPresent(this->coeffDict());
+        kappa_.readIfPresent(this->coeffDict());
+
+        Cb1_.readIfPresent(this->coeffDict());
+        Cb2_.readIfPresent(this->coeffDict());
+        Cw1_ = Cb1_/sqr(kappa_) + (1.0 + Cb2_)/sigmaNut_;
+        Cw2_.readIfPresent(this->coeffDict());
+        Cw3_.readIfPresent(this->coeffDict());
+        Cv1_.readIfPresent(this->coeffDict());
+        Cs_.readIfPresent(this->coeffDict());
+        ck_.readIfPresent(this->coeffDict());
+
+        ft2_.readIfPresent("ft2", this->coeffDict());
+        Ct3_.readIfPresent(this->coeffDict());
+        Ct4_.readIfPresent(this->coeffDict());
+
+        if (ft2_)
+        {
+            Info<< "    ft2 term: active" << nl;
+        }
+        else
+        {
+            Info<< "    ft2 term: inactive" << nl;
+        }
+
+        return true;
+    }
+
+    return false;
+}
+
+
+template<class BasicEddyViscosityModel>
+tmp<volScalarField>
+SpalartAllmarasBase<BasicEddyViscosityModel>::DnuTildaEff() const
+{
+    return tmp<volScalarField>::New
+    (
+        IOobject::groupName("DnuTildaEff", this->alphaRhoPhi_.group()),
+        (nuTilda_ + this->nu())/sigmaNut_
+    );
+}
+
+
+template<class BasicEddyViscosityModel>
+tmp<volScalarField> SpalartAllmarasBase<BasicEddyViscosityModel>::k() const
+{
+    // (B:Eq. 4.50)
+    const scalar Cmu = 0.09;
+    const auto fv1 = this->fv1(chi());
+
+    return tmp<volScalarField>::New
+    (
+        IOobject::groupName("k", this->alphaRhoPhi_.group()),
+        cbrt(fv1)*nuTilda_*::sqrt(scalar(2)/Cmu)*mag(symm(fvc::grad(this->U_)))
+    );
+}
+
+template<class BasicEddyViscosityModel>
+tmp<volScalarField>
+SpalartAllmarasBase<BasicEddyViscosityModel>::epsilon() const
+{
+    // (B:Eq. 4.50)
+    const scalar Cmu = 0.09;
+    const auto fv1 = this->fv1(chi());
+    const dimensionedScalar nutSMALL(nuTilda_.dimensions(), SMALL);
+
+    return tmp<volScalarField>::New
+    (
+        IOobject::groupName("epsilon", this->alphaRhoPhi_.group()),
+        sqrt(fv1)*sqr(::sqrt(Cmu)*this->k())/(nuTilda_ + this->nut_ + nutSMALL)
+    );
+}
+
+
+template<class BasicEddyViscosityModel>
+tmp<volScalarField> SpalartAllmarasBase<BasicEddyViscosityModel>::omega() const
+{
+    // (P:p. 384)
+    const scalar betaStar = 0.09;
+    const dimensionedScalar k0(sqr(dimLength/dimTime), SMALL);
+
+    return tmp<volScalarField>::New
+    (
+        IOobject::groupName("omega", this->alphaRhoPhi_.group()),
+        this->epsilon()/(betaStar*(this->k() + k0))
+    );
+}
+
+
+template<class BasicEddyViscosityModel>
+void SpalartAllmarasBase<BasicEddyViscosityModel>::correct()
+{
+    if (!this->turbulence_)
+    {
+        return;
+    }
+
+    {
+        // Local references
+        const alphaField& alpha = this->alpha_;
+        const rhoField& rho = this->rho_;
+        const surfaceScalarField& alphaRhoPhi = this->alphaRhoPhi_;
+        const volVectorField& U = this->U_;
+        fv::options& fvOptions(fv::options::New(this->mesh_));
+
+        BasicEddyViscosityModel::correct();
+
+        const volScalarField chi(this->chi());
+        const volScalarField fv1(this->fv1(chi));
+        const volScalarField ft2(this->ft2(chi));
+
+        tmp<volTensorField> tgradU = fvc::grad(U);
+        volScalarField dTilda(this->dTilda(chi, fv1, tgradU()));
+        volScalarField Stilda(this->Stilda(chi, fv1, tgradU(), dTilda));
+        tgradU.clear();
+
+        tmp<fvScalarMatrix> nuTildaEqn
+        (
+            fvm::ddt(alpha, rho, nuTilda_)
+          + fvm::div(alphaRhoPhi, nuTilda_)
+          - fvm::laplacian(alpha*rho*DnuTildaEff(), nuTilda_)
+          - Cb2_/sigmaNut_*alpha()*rho()*magSqr(fvc::grad(nuTilda_)()())
+         ==
+            Cb1_*alpha()*rho()*Stilda()*nuTilda_()*(scalar(1) - ft2())
+          - fvm::Sp
+            (
+                (Cw1_*fw(Stilda, dTilda) - Cb1_/sqr(kappa_)*ft2())
+               *alpha()*rho()*nuTilda_()/sqr(dTilda()),
+                nuTilda_
+            )
+          + fvOptions(alpha, rho, nuTilda_)
+        );
+
+        nuTildaEqn.ref().relax();
+        fvOptions.constrain(nuTildaEqn.ref());
+        solve(nuTildaEqn);
+        fvOptions.correct(nuTilda_);
+        bound(nuTilda_, dimensionedScalar(nuTilda_.dimensions(), Zero));
+        nuTilda_.correctBoundaryConditions();
+    }
+
+    correctNut();
+}
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace Foam
+
+// ************************************************************************* //

src/TurbulenceModels/turbulenceModels/Base/SpalartAllmaras/SpalartAllmarasBase.H

@@ -0,0 +1,246 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | www.openfoam.com
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+    Copyright (C) 2011-2016 OpenFOAM Foundation
+    Copyright (C) 2015-2022 OpenCFD Ltd.
+-------------------------------------------------------------------------------
+License
+    This file is part of OpenFOAM.
+
+    OpenFOAM is free software: you can redistribute it and/or modify it
+    under the terms of the GNU General Public License as published by
+    the Free Software Foundation, either version 3 of the License, or
+    (at your option) any later version.
+
+    OpenFOAM is distributed in the hope that it will be useful, but WITHOUT
+    ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+    FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+    for more details.
+
+    You should have received a copy of the GNU General Public License
+    along with OpenFOAM.  If not, see <http://www.gnu.org/licenses/>.
+
+Class
+    Foam::LESModels::SpalartAllmarasBase
+
+Group
+    grpDESTurbulence
+
+Description
+    Base class to handle various characteristics for \c SpalartAllmaras based
+    LES/DES turbulence models for incompressible and compressible flows.
+
+    References:
+    \verbatim
+        Standard model:
+            Spalart, P.R., & Allmaras, S.R. (1994).
+            A one-equation turbulence model for aerodynamic flows.
+            La Recherche Aerospatiale, 1, 5-21.
+
+        Standard model:
+            Spalart, P. R., Jou, W. H., Strelets, M., & Allmaras, S. R. (1997).
+            Comments on the feasibility of LES for wings, and on a hybrid
+            RANS/LES approach.
+            Advances in DNS/LES, 1, 4-8.
+
+        Estimation expression for k and epsilon (tag:B), Eq. 4.50:
+            Bourgoin, A. (2019).
+            Bathymetry induced turbulence modelling the
+            Alderney Race site: regional approach with TELEMAC-LES.
+            Normandie Université.
+
+        Estimation expressions for omega (tag:P):
+            Pope, S. B. (2000).
+            Turbulent flows.
+            Cambridge, UK: Cambridge Univ. Press
+            DOI:10.1017/CBO9780511840531
+    \endverbatim
+
+SourceFiles
+    SpalartAllmarasBase.C
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef Foam_SpalartAllmarasBase_H
+#define Foam_SpalartAllmarasBase_H
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+
+/*---------------------------------------------------------------------------*\
+                    Class SpalartAllmarasBase Declaration
+\*---------------------------------------------------------------------------*/
+
+template<class BasicEddyViscosityModel>
+class SpalartAllmarasBase
+:
+    public BasicEddyViscosityModel
+{
+    // Private Member Functions
+
+        //- No copy construct
+        SpalartAllmarasBase(const SpalartAllmarasBase&) = delete;
+
+        //- No copy assignment
+        void operator=(const SpalartAllmarasBase&) = delete;
+
+
+protected:
+
+    // Protected Data
+
+        // Model constants
+
+            dimensionedScalar sigmaNut_;
+            dimensionedScalar kappa_;
+
+            dimensionedScalar Cb1_;
+            dimensionedScalar Cb2_;
+            dimensionedScalar Cw1_;
+            dimensionedScalar Cw2_;
+            dimensionedScalar Cw3_;
+            dimensionedScalar Cv1_;
+            dimensionedScalar Cs_;
+            dimensionedScalar ck_;
+
+            Switch ft2_;
+            dimensionedScalar Ct3_;
+            dimensionedScalar Ct4_;
+
+
+        // Fields
+
+            //- Modified kinematic viscosity [m^2/s]
+            volScalarField nuTilda_;
+
+            //- Wall distance
+            //  Note: different to wall distance in parent RASModel
+            //  which is for near-wall cells only
+            const volScalarField& y_;
+
+
+    // Protected Member Functions
+
+        tmp<volScalarField> chi() const;
+
+        tmp<volScalarField> fv1(const volScalarField& chi) const;
+
+        tmp<volScalarField> fv2
+        (
+            const volScalarField& chi,
+            const volScalarField& fv1
+        ) const;
+
+        tmp<volScalarField> ft2(const volScalarField& chi) const;
+
+        tmp<volScalarField> Omega(const volTensorField& gradU) const;
+
+        tmp<volScalarField> r
+        (
+            const volScalarField& nur,
+            const volScalarField& Stilda,
+            const volScalarField& dTilda
+        ) const;
+
+        tmp<volScalarField::Internal> fw
+        (
+            const volScalarField& Stilda,
+            const volScalarField& dTilda
+        ) const;
+
+        virtual tmp<volScalarField> Stilda
+        (
+            const volScalarField& chi,
+            const volScalarField& fv1,
+            const volTensorField& gradU,
+            const volScalarField& dTilda
+        ) const;
+
+        //- Length scale
+        virtual tmp<volScalarField> dTilda
+        (
+            const volScalarField& chi,
+            const volScalarField& fv1,
+            const volTensorField& gradU
+        ) const = 0;
+
+        void correctNut(const volScalarField& fv1);
+        virtual void correctNut();
+
+
+public:
+
+    typedef typename BasicEddyViscosityModel::alphaField alphaField;
+    typedef typename BasicEddyViscosityModel::rhoField rhoField;
+    typedef typename BasicEddyViscosityModel::transportModel transportModel;
+
+
+    // Constructors
+
+        //- Construct from components
+        SpalartAllmarasBase
+        (
+            const word& type,
+            const alphaField& alpha,
+            const rhoField& rho,
+            const volVectorField& U,
+            const surfaceScalarField& alphaRhoPhi,
+            const surfaceScalarField& phi,
+            const transportModel& transport,
+            const word& propertiesName = turbulenceModel::propertiesName
+        );
+
+
+    //- Destructor
+    virtual ~SpalartAllmarasBase() = default;
+
+
+    // Member Functions
+
+        //- Re-read model coefficients if they have changed
+        virtual bool read();
+
+        //- Return the effective diffusivity for nuTilda
+        tmp<volScalarField> DnuTildaEff() const;
+
+        //- Return the (estimated) turbulent kinetic energy
+        virtual tmp<volScalarField> k() const;
+
+        //- Return the (estimated) turbulent kinetic energy dissipation rate
+        virtual tmp<volScalarField> epsilon() const;
+
+        //- Return the (estimated) specific dissipation rate
+        virtual tmp<volScalarField> omega() const;
+
+        //- Return the modified kinematic viscosity
+        tmp<volScalarField> nuTilda() const
+        {
+            return nuTilda_;
+        }
+
+        //- Correct nuTilda and related properties
+        virtual void correct();
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#ifdef NoRepository
+    #include "SpalartAllmarasBase.C"
+#endif
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //

src/TurbulenceModels/turbulenceModels/Base/kOmegaSST/kOmegaSSTBase.C

@@ -6,7 +6,8 @@
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
     Copyright (C) 2011-2015 OpenFOAM Foundation
-    Copyright (C) 2016-2020 OpenCFD Ltd.
+    Copyright (C) 2022 Upstream CFD GmbH
+    Copyright (C) 2016-2022 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -47,7 +48,7 @@ tmp<volScalarField> kOmegaSSTBase<BasicEddyViscosityModel>::F1
     tmp<volScalarField> CDkOmegaPlus = max
     (
         CDkOmega,
-        dimensionedScalar("1.0e-10", dimless/sqr(dimTime), 1.0e-10)
+        dimensionedScalar(dimless/sqr(dimTime), 1.0e-10)
     );
 
     tmp<volScalarField> arg1 = min
@@ -132,6 +133,17 @@ void kOmegaSSTBase<BasicEddyViscosityModel>::correctNut()
 }
 
 
+template<class BasicEddyViscosityModel>
+Foam::tmp<Foam::volScalarField> kOmegaSSTBase<BasicEddyViscosityModel>::S2
+(
+    const volScalarField& F1,
+    const volTensorField& gradU
+) const
+{
+    return 2*magSqr(symm(gradU));
+}
+
+
 template<class BasicEddyViscosityModel>
 tmp<volScalarField::Internal> kOmegaSSTBase<BasicEddyViscosityModel>::Pk
 (
@@ -143,17 +155,32 @@ tmp<volScalarField::Internal> kOmegaSSTBase<BasicEddyViscosityModel>::Pk
 
 
 template<class BasicEddyViscosityModel>
-tmp<volScalarField::Internal>
+tmp<volScalarField::Internal> kOmegaSSTBase<BasicEddyViscosityModel>::epsilonByk
-kOmegaSSTBase<BasicEddyViscosityModel>::epsilonByk
 (
-    const volScalarField& F1,
+    const volScalarField& /* F1 not used */,
-    const volTensorField& gradU
+    const volTensorField& /* gradU not used */
 ) const
 {
     return betaStar_*omega_();
 }
 
 
+template<class BasicEddyViscosityModel>
+tmp<volScalarField::Internal> kOmegaSSTBase<BasicEddyViscosityModel>::GbyNu0
+(
+    const volTensorField& gradU,
+    const volScalarField& F1,
+    const volScalarField& S2
+) const
+{
+    return tmp<volScalarField::Internal>::New
+    (
+        IOobject::scopedName(this->type(), "GbyNu"),
+        gradU() && dev(twoSymm(gradU()))
+    );
+}
+
+
 template<class BasicEddyViscosityModel>
 tmp<volScalarField::Internal> kOmegaSSTBase<BasicEddyViscosityModel>::GbyNu
 (
@@ -165,8 +192,7 @@ tmp<volScalarField::Internal> kOmegaSSTBase<BasicEddyViscosityModel>::GbyNu
     return min
     (
         GbyNu0,
-        (c1_/a1_)*betaStar_*omega_()
+        (c1_/a1_)*betaStar_*omega_()*max(a1_*omega_(), b1_*F2*sqrt(S2))
-       *max(a1_*omega_(), b1_*F2*sqrt(S2))
     );
 }
 
@@ -174,13 +200,10 @@ tmp<volScalarField::Internal> kOmegaSSTBase<BasicEddyViscosityModel>::GbyNu
 template<class BasicEddyViscosityModel>
 tmp<fvScalarMatrix> kOmegaSSTBase<BasicEddyViscosityModel>::kSource() const
 {
-    return tmp<fvScalarMatrix>
+    return tmp<fvScalarMatrix>::New
-    (
-        new fvScalarMatrix
     (
         k_,
         dimVolume*this->rho_.dimensions()*k_.dimensions()/dimTime
-        )
     );
 }
 
@@ -188,13 +211,10 @@ tmp<fvScalarMatrix> kOmegaSSTBase<BasicEddyViscosityModel>::kSource() const
 template<class BasicEddyViscosityModel>
 tmp<fvScalarMatrix> kOmegaSSTBase<BasicEddyViscosityModel>::omegaSource() const
 {
-    return tmp<fvScalarMatrix>
+    return tmp<fvScalarMatrix>::New
-    (
-        new fvScalarMatrix
     (
         omega_,
         dimVolume*this->rho_.dimensions()*omega_.dimensions()/dimTime
-        )
     );
 }
 
@@ -207,13 +227,10 @@ tmp<fvScalarMatrix> kOmegaSSTBase<BasicEddyViscosityModel>::Qsas
     const volScalarField::Internal& beta
 ) const
 {
-    return tmp<fvScalarMatrix>
+    return tmp<fvScalarMatrix>::New
-    (
-        new fvScalarMatrix
     (
         omega_,
         dimVolume*this->rho_.dimensions()*omega_.dimensions()/dimTime
-        )
     );
 }
 
@@ -389,6 +406,7 @@ kOmegaSSTBase<BasicEddyViscosityModel>::kOmegaSSTBase
         ),
         this->mesh_
     ),
+
     decayControl_
     (
         Switch::getOrAddToDict
@@ -498,31 +516,30 @@ void kOmegaSSTBase<BasicEddyViscosityModel>::correct()
 
     BasicEddyViscosityModel::correct();
 
-    volScalarField::Internal divU(fvc::div(fvc::absolute(this->phi(), U)));
+    const volScalarField::Internal divU
+    (
+        fvc::div(fvc::absolute(this->phi(), U))
+    );
+
+    const volScalarField CDkOmega
+    (
+        (2*alphaOmega2_)*(fvc::grad(k_) & fvc::grad(omega_))/omega_
+    );
+
+    const volScalarField F1(this->F1(CDkOmega));
+    const volScalarField F23(this->F23());
 
     tmp<volTensorField> tgradU = fvc::grad(U);
-    volScalarField S2(2*magSqr(symm(tgradU())));
+    const volScalarField S2(this->S2(F1, tgradU()));
-    volScalarField::Internal GbyNu0
+    volScalarField::Internal GbyNu0(this->GbyNu0(tgradU(), F1, S2));
-    (
-        this->type() + ":GbyNu",
-        (tgradU() && dev(twoSymm(tgradU())))
-    );
     volScalarField::Internal G(this->GName(), nut*GbyNu0);
 
     // Update omega and G at the wall
     omega_.boundaryFieldRef().updateCoeffs();
 
-    volScalarField CDkOmega
-    (
-        (2*alphaOmega2_)*(fvc::grad(k_) & fvc::grad(omega_))/omega_
-    );
-
-    volScalarField F1(this->F1(CDkOmega));
-    volScalarField F23(this->F23());
-
     {
-        volScalarField::Internal gamma(this->gamma(F1));
+        const volScalarField::Internal gamma(this->gamma(F1));
-        volScalarField::Internal beta(this->beta(F1));
+        const volScalarField::Internal beta(this->beta(F1));
 
         GbyNu0 = GbyNu(GbyNu0, F23(), S2());
 
@@ -555,6 +572,7 @@ void kOmegaSSTBase<BasicEddyViscosityModel>::correct()
         bound(omega_, this->omegaMin_);
     }
 
+    {
         // Turbulent kinetic energy equation
         tmp<fvScalarMatrix> kEqn
         (
@@ -577,6 +595,7 @@ void kOmegaSSTBase<BasicEddyViscosityModel>::correct()
         solve(kEqn);
         fvOptions.correct(k_);
         bound(k_, this->kMin_);
+    }
 
     correctNut(S2);
 }

src/TurbulenceModels/turbulenceModels/Base/kOmegaSST/kOmegaSSTBase.H

@@ -6,7 +6,8 @@
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
     Copyright (C) 2011-2016 OpenFOAM Foundation
-    Copyright (C) 2017-2021 OpenCFD Ltd.
+    Copyright (C) 2022 Upstream CFD GmbH
+    Copyright (C) 2017-2022 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -141,7 +142,7 @@ class kOmegaSSTBase
 
 protected:
 
-    // Protected data
+    // Protected Data
 
         // Model coefficients
 
@@ -174,7 +175,10 @@ protected:
             //  which is for near-wall cells only
             const volScalarField& y_;
 
+            //- Turbulent kinetic energy field [m^2/s^2]
             volScalarField k_;
+
+            //- Specific dissipation rate field [1/s]
             volScalarField omega_;
 
 
@@ -188,6 +192,7 @@ protected:
 
     // Protected Member Functions
 
+        //- Set decay control with kInf and omegaInf
         void setDecayControl(const dictionary& dict);
 
         virtual tmp<volScalarField> F1(const volScalarField& CDkOmega) const;
@@ -195,6 +200,7 @@ protected:
         virtual tmp<volScalarField> F3() const;
         virtual tmp<volScalarField> F23() const;
 
+        //- Return the blended field
         tmp<volScalarField> blend
         (
             const volScalarField& F1,
@@ -205,6 +211,7 @@ protected:
             return F1*(psi1 - psi2) + psi2;
         }
 
+        //- Return the internal blended field
         tmp<volScalarField::Internal> blend
         (
             const volScalarField::Internal& F1,
@@ -253,6 +260,13 @@ protected:
 
         virtual void correctNut();
 
+        //- Return square of strain rate
+        virtual tmp<volScalarField> S2
+        (
+            const volScalarField& F1,
+            const volTensorField& gradU
+        ) const;
+
         //- Return k production rate
         virtual tmp<volScalarField::Internal> Pk
         (
@@ -266,6 +280,14 @@ protected:
             const volTensorField& gradU
         ) const;
 
+        //- Return (G/nu)_0
+        virtual tmp<volScalarField::Internal> GbyNu0
+        (
+            const volTensorField& gradU,
+            const volScalarField& F1,
+            const volScalarField& S2
+        ) const;
+
         //- Return G/nu
         virtual tmp<volScalarField::Internal> GbyNu
         (
@@ -321,22 +343,20 @@ public:
         //- Return the effective diffusivity for k
         tmp<volScalarField> DkEff(const volScalarField& F1) const
         {
-            return tmp<volScalarField>
+            return tmp<volScalarField>::New
             (
-                new volScalarField("DkEff", alphaK(F1)*this->nut_ + this->nu())
+                "DkEff",
+                alphaK(F1)*this->nut_ + this->nu()
             );
         }
 
         //- Return the effective diffusivity for omega
         tmp<volScalarField> DomegaEff(const volScalarField& F1) const
         {
-            return tmp<volScalarField>
+            return tmp<volScalarField>::New
-            (
-                new volScalarField
             (
                 "DomegaEff",
                 alphaOmega(F1)*this->nut_ + this->nu()
-                )
             );
         }
 

src/TurbulenceModels/turbulenceModels/DES/DESModel/DESModel.C

@@ -6,6 +6,8 @@
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
     Copyright (C) 2012-2015 OpenFOAM Foundation
+    Copyright (C) 2022 Upstream CFD GmbH
+    Copyright (C) 2022 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -59,15 +61,127 @@ DESModel<BasicTurbulenceModel>::DESModel
         phi,
         transport,
         propertiesName
-    )
+    ),
-{}
+    Ctrans_(dimless, Zero)
+{
+    // Note: Ctrans is model-specific and initialised in derived classes
+}
 
 
-// * * * * * * * * * * * * * * * * Destructor  * * * * * * * * * * * * * * * //
+// * * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * //
 
 template<class BasicTurbulenceModel>
-DESModel<BasicTurbulenceModel>::~DESModel()
+bool DESModel<BasicTurbulenceModel>::read()
-{}
+{
+    if (LESeddyViscosity<BasicTurbulenceModel>::read())
+    {
+        Ctrans_.readIfPresent(this->coeffDict());
+
+        return true;
+    }
+
+    return false;
+}
+
+
+template<class BasicTurbulenceModel>
+tmp<volScalarField> DESModel<BasicTurbulenceModel>::Ssigma
+(
+    const volTensorField& gradU,
+    const dimensionedScalar& coeff
+)
+{
+    // Limiter
+    const dimensionedScalar eps0(dimless, SMALL);
+    const dimensionedScalar eps2(dimless/sqr(dimTime), SMALL);
+    const dimensionedScalar eps4(dimless/pow4(dimTime), SMALL);
+    const dimensionedScalar max2(dimless/sqr(dimTime), GREAT);
+    const dimensionedTensor maxTen2
+    (
+        dimless/sqr(dimTime),
+        tensor::max
+    );
+    const dimensionedTensor minTen2
+    (
+        dimless/sqr(dimTime),
+        tensor::min
+    );
+
+    const volTensorField G(max(min(gradU.T() & gradU, maxTen2), minTen2));
+
+    // Tensor invariants
+    const volScalarField I1(tr(G));
+    const volScalarField I2(0.5*(sqr(I1) - tr(G & G)));
+    tmp<volScalarField> tI3 = det(G);
+
+    const volScalarField alpha1(max(sqr(I1)/9.0 - I2/3.0, eps4));
+
+    tmp<volScalarField> talpha2 =
+        pow3(min(I1, max2))/27.0 - I1*I2/6.0 + 0.5*tI3;
+
+    const volScalarField alpha3
+    (
+        1.0/3.0
+       *acos
+        (
+            max
+            (
+                scalar(-1) + eps0,
+                min(scalar(1) - eps0, talpha2/pow(alpha1, 3.0/2.0))
+            )
+        )
+    );
+
+    const scalar piBy3 = constant::mathematical::pi/3.0;
+    const volScalarField sigma1
+    (
+        sqrt(max(I1/3.0 + 2.0*sqrt(alpha1)*cos(alpha3), eps2))
+    );
+    const volScalarField sigma2
+    (
+        sqrt(max(I1/3.0 - 2.0*sqrt(alpha1)*cos(piBy3 + alpha3), eps2))
+    );
+    const volScalarField sigma3
+    (
+        sqrt(max(I1/3.0 - 2.0*sqrt(alpha1)*cos(piBy3 - alpha3), eps2))
+    );
+
+    return
+        coeff
+       *sigma3
+       *(sigma1 - sigma2)
+       *(sigma2 - sigma3)
+       /max(sqr(sigma1), eps2);
+}
+
+
+template<class BasicTurbulenceModel>
+tmp<volScalarField> DESModel<BasicTurbulenceModel>::Ssigma
+(
+    const volTensorField& gradU
+) const
+{
+    return Ssigma(gradU, Ctrans_);
+}
+
+
+template<class BasicTurbulenceModel>
+tmp<volScalarField> DESModel<BasicTurbulenceModel>::fd() const
+{
+    return tmp<volScalarField>::New
+    (
+        IOobject
+        (
+            "fd",
+            this->mesh_.time().timeName(),
+            this->mesh_,
+            IOobject::NO_READ,
+            IOobject::NO_WRITE
+        ),
+        this->mesh_,
+        dimensionedScalar(dimless, Zero)
+    );
+}
 
 
 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

src/TurbulenceModels/turbulenceModels/DES/DESModel/DESModel.H

@@ -6,7 +6,8 @@
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
     Copyright (C) 2012-2015 OpenFOAM Foundation
-    Copyright (C) 2016 OpenCFD Ltd.
+    Copyright (C) 2022 Upstream CFD GmbH
+    Copyright (C) 2016, 2022 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -57,9 +58,6 @@ class DESModel
     public DESModelBase,
     public LESeddyViscosity<BasicTurbulenceModel>
 {
-
-private:
-
     // Private Member Functions
 
         //- No copy construct
@@ -69,6 +67,14 @@ private:
         void operator=(const DESModel&) = delete;
 
 
+protected:
+
+    // Protected Data
+
+        //- Model-specific transition constant
+        dimensionedScalar Ctrans_;
+
+
 public:
 
     typedef typename BasicTurbulenceModel::alphaField alphaField;
@@ -92,13 +98,30 @@ public:
 
 
     //- Destructor
-    virtual ~DESModel();
+    virtual ~DESModel() = default;
 
 
     // Public Member Functions
 
+        //- Re-read model coefficients if they have changed
+        virtual bool read();
+
         //- Return the LES field indicator
         virtual tmp<volScalarField> LESRegion() const = 0;
+
+        //- Return modified strain rate
+        static tmp<volScalarField> Ssigma
+        (
+            const volTensorField& gradU,
+            const dimensionedScalar& coeff
+        );
+
+        //- Return modified strain rate
+        //  Note: uses Ctrans_ coefficient
+        virtual tmp<volScalarField> Ssigma(const volTensorField& gradU) const;
+
+        //- Return the shielding function
+        virtual tmp<volScalarField> fd() const;
 };
 
 

src/TurbulenceModels/turbulenceModels/DES/DESModel/DESModelBase.C

@@ -23,16 +23,6 @@ License
     You should have received a copy of the GNU General Public License
     along with OpenFOAM.  If not, see <http://www.gnu.org/licenses/>.
 
-Class
-    Foam::DESModelBase
-
-Description
-    Base class for DES models providing an interfaces to the LESRegion
-    function.
-
-SourceFiles
-    DESModelBase.C
-
 \*---------------------------------------------------------------------------*/
 
 #include "DESModelBase.H"

src/TurbulenceModels/turbulenceModels/DES/DESModel/DESModelBase.H

@@ -6,7 +6,7 @@
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
     Copyright (C) 2015 OpenFOAM Foundation
-    Copyright (C) 2019 OpenCFD Ltd.
+    Copyright (C) 2019-2022 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -28,8 +28,7 @@ Class
     Foam::DESModelBase
 
 Description
-    Base class for DES models providing an interfaces to the LESRegion
+    Base class for DES models providing an interfaces to DES fields.
-    function.
 
 SourceFiles
     DESModelBase.C
@@ -70,6 +69,9 @@ public:
 
         //- Return the LES field indicator
         virtual tmp<volScalarField> LESRegion() const = 0;
+
+        //- Return the shielding function
+        virtual tmp<volScalarField> fd() const = 0;
 };
 
 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

src/TurbulenceModels/turbulenceModels/DES/SpalartAllmarasDDES/SpalartAllmarasDDES.C

@@ -6,7 +6,8 @@
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
     Copyright (C) 2011-2016 OpenFOAM Foundation
-    Copyright (C) 2015-2020 OpenCFD Ltd.
+    Copyright (C) 2022 Upstream CFD GmbH
+    Copyright (C) 2015-2022 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -37,46 +38,60 @@ namespace LESModels
 
 // * * * * * * * * * * * * Private Member Functions  * * * * * * * * * * * * //
 
-template<class BasicTurbulenceModel>
-tmp<volScalarField> SpalartAllmarasDDES<BasicTurbulenceModel>::rd
-(
-    const volScalarField& magGradU
-) const
-{
-    tmp<volScalarField> tr
-    (
-        min
-        (
-            this->nuEff()
-           /(
-                max
-                (
-                    magGradU,
-                    dimensionedScalar("SMALL", magGradU.dimensions(), SMALL)
-                )
-               *sqr(this->kappa_*this->y_)
-            ),
-            scalar(10)
-        )
-    );
-    tr.ref().boundaryFieldRef() == 0.0;
-
-    return tr;
-}
-
-
 template<class BasicTurbulenceModel>
 tmp<volScalarField> SpalartAllmarasDDES<BasicTurbulenceModel>::fd
 (
     const volScalarField& magGradU
 ) const
 {
-    return 1 - tanh(pow(Cd1_*rd(magGradU), Cd2_));
+    return
+        1
+      - tanh(pow(this->Cd1_*this->r(this->nuEff(), magGradU, this->y_), Cd2_));
 }
 
 
 // * * * * * * * * * * * * Protected Member Functions  * * * * * * * * * * * //
 
+template<class BasicTurbulenceModel>
+tmp<volScalarField> SpalartAllmarasDDES<BasicTurbulenceModel>::Stilda
+(
+    const volScalarField& chi,
+    const volScalarField& fv1,
+    const volTensorField& gradU,
+    const volScalarField& dTilda
+) const
+{
+    if (this->useSigma_)
+    {
+        const volScalarField& lRAS(this->y_);
+        const volScalarField fv2(this->fv2(chi, fv1));
+        const volScalarField lLES(this->lengthScaleLES(chi, fv1));
+        const volScalarField Omega(this->Omega(gradU));
+        const volScalarField Ssigma(this->Ssigma(gradU));
+        const volScalarField SsigmaDES
+        (
+            Omega - fd(mag(gradU))*pos(lRAS - lLES)*(Omega - Ssigma)
+        );
+
+        return
+            max
+            (
+                SsigmaDES + fv2*this->nuTilda_/sqr(this->kappa_*dTilda),
+                this->Cs_*SsigmaDES
+            );
+    }
+
+    return
+        SpalartAllmarasBase<DESModel<BasicTurbulenceModel>>::Stilda
+        (
+            chi,
+            fv1,
+            gradU,
+            dTilda
+        );
+}
+
+
 template<class BasicTurbulenceModel>
 tmp<volScalarField> SpalartAllmarasDDES<BasicTurbulenceModel>::dTilda
 (
@@ -86,17 +101,12 @@ tmp<volScalarField> SpalartAllmarasDDES<BasicTurbulenceModel>::dTilda
 ) const
 {
     const volScalarField& lRAS(this->y_);
-    const volScalarField lLES(this->psi(chi, fv1)*this->CDES_*this->delta());
+    const volScalarField lLES(this->lengthScaleLES(chi, fv1));
+    const dimensionedScalar l0(dimLength, Zero);
 
     return max
     (
-        lRAS
+        lRAS - fd(mag(gradU))*max(lRAS - lLES, l0),
-      - fd(mag(gradU))
-       *max
-        (
-            lRAS - lLES,
-            dimensionedScalar(dimLength, Zero)
-        ),
         dimensionedScalar("small", dimLength, SMALL)
     );
 }
@@ -131,7 +141,14 @@ SpalartAllmarasDDES<BasicTurbulenceModel>::SpalartAllmarasDDES
 
     Cd1_
     (
-        dimensioned<scalar>::getOrAddToDict
+        this->useSigma_
+          ? dimensioned<scalar>::getOrAddToDict
+            (
+                "Cd1Sigma",
+                this->coeffDict_,
+                10
+            )
+          : dimensioned<scalar>::getOrAddToDict
             (
                 "Cd1",
                 this->coeffDict_,
@@ -172,6 +189,13 @@ bool SpalartAllmarasDDES<BasicTurbulenceModel>::read()
 }
 
 
+template<class BasicTurbulenceModel>
+tmp<volScalarField> SpalartAllmarasDDES<BasicTurbulenceModel>::fd() const
+{
+    return fd(mag(fvc::grad(this->U_)));
+}
+
+
 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
 } // End namespace LESModels

src/TurbulenceModels/turbulenceModels/DES/SpalartAllmarasDDES/SpalartAllmarasDDES.H

@@ -6,7 +6,8 @@
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
     Copyright (C) 2011-2016 OpenFOAM Foundation
-    Copyright (C) 2019 OpenCFD Ltd.
+    Copyright (C) 2022 Upstream CFD GmbH
+    Copyright (C) 2019-2022 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -32,15 +33,16 @@ Group
 
 Description
     SpalartAllmaras DDES turbulence model for incompressible and compressible
-    flows
+    flows.
 
     Reference:
     \verbatim
-        Spalart, P. R., Deck, S., Shur, M. L., Squires, K. D., Strelets, M. K.,
+        Spalart, P. R., Deck, S., Shur, M. L., Squires,
-        & Travin, A. (2006).
+        K. D., Strelets, M. K., & Travin, A. (2006).
-        A new version of detached-eddy simulation, resistant to ambiguous grid
+        A new version of detached-eddy simulation,
-        densities.
+        resistant to ambiguous grid densities.
         Theoretical and computational fluid dynamics, 20(3), 181-195.
+        DOI:10.1007/s00162-006-0015-0
     \endverbatim
 
 SourceFiles
@@ -48,10 +50,10 @@ SourceFiles
 
 \*---------------------------------------------------------------------------*/
 
-#ifndef SpalartAllmarasDDES_H
+#ifndef Foam_SpalartAllmarasDDES_H
-#define SpalartAllmarasDDES_H
+#define Foam_SpalartAllmarasDDES_H
 
-#include "SpalartAllmarasDES.H"
+#include "SpalartAllmarasBase.H"
 
 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
@@ -71,10 +73,9 @@ class SpalartAllmarasDDES
 {
     // Private Member Functions
 
+        //- Return the shielding function
         tmp<volScalarField> fd(const volScalarField& magGradU) const;
 
-        tmp<volScalarField> rd(const volScalarField& magGradU) const;
-
         //- No copy construct
         SpalartAllmarasDDES(const SpalartAllmarasDDES&) = delete;
 
@@ -84,7 +85,7 @@ class SpalartAllmarasDDES
 
 protected:
 
-    // Protected data
+    // Protected Data
 
         // Model coefficients
 
@@ -94,7 +95,16 @@ protected:
 
     // Protected Member Functions
 
-        //- Length scale
+        //- Return the production term
+        virtual tmp<volScalarField> Stilda
+        (
+            const volScalarField& chi,
+            const volScalarField& fv1,
+            const volTensorField& gradU,
+            const volScalarField& dTilda
+        ) const;
+
+        //- Return the length scale
         virtual tmp<volScalarField> dTilda
         (
             const volScalarField& chi,
@@ -138,6 +148,9 @@ public:
 
         //- Read from dictionary
         virtual bool read();
+
+        //- Return the shielding function
+        virtual tmp<volScalarField> fd() const;
 };
 
 

src/TurbulenceModels/turbulenceModels/DES/SpalartAllmarasDES/SpalartAllmarasDES.C

@@ -6,7 +6,8 @@
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
     Copyright (C) 2011-2016 OpenFOAM Foundation
-    Copyright (C) 2016-2020 OpenCFD Ltd.
+    Copyright (C) 2022 Upstream CFD GmbH
+    Copyright (C) 2016-2022 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -38,120 +39,6 @@ namespace LESModels
 
 // * * * * * * * * * * * * Protected Member Functions  * * * * * * * * * * * //
 
-template<class BasicTurbulenceModel>
-tmp<volScalarField> SpalartAllmarasDES<BasicTurbulenceModel>::chi() const
-{
-    return nuTilda_/this->nu();
-}
-
-
-template<class BasicTurbulenceModel>
-tmp<volScalarField> SpalartAllmarasDES<BasicTurbulenceModel>::fv1
-(
-    const volScalarField& chi
-) const
-{
-    const volScalarField chi3("chi3", pow3(chi));
-    return chi3/(chi3 + pow3(Cv1_));
-}
-
-
-template<class BasicTurbulenceModel>
-tmp<volScalarField> SpalartAllmarasDES<BasicTurbulenceModel>::fv2
-(
-    const volScalarField& chi,
-    const volScalarField& fv1
-) const
-{
-    return 1.0 - chi/(1.0 + chi*fv1);
-}
-
-
-template<class BasicTurbulenceModel>
-tmp<volScalarField> SpalartAllmarasDES<BasicTurbulenceModel>::ft2
-(
-    const volScalarField& chi
-) const
-{
-    return Ct3_*exp(-Ct4_*sqr(chi));
-}
-
-
-template<class BasicTurbulenceModel>
-tmp<volScalarField> SpalartAllmarasDES<BasicTurbulenceModel>::Omega
-(
-    const volTensorField& gradU
-) const
-{
-    return sqrt(2.0)*mag(skew(gradU));
-}
-
-
-template<class BasicTurbulenceModel>
-tmp<volScalarField> SpalartAllmarasDES<BasicTurbulenceModel>::Stilda
-(
-    const volScalarField& chi,
-    const volScalarField& fv1,
-    const volScalarField& Omega,
-    const volScalarField& dTilda
-) const
-{
-    return
-    (
-        max
-        (
-            Omega
-          + fv2(chi, fv1)*nuTilda_/sqr(kappa_*dTilda),
-            Cs_*Omega
-        )
-    );
-}
-
-
-template<class BasicTurbulenceModel>
-tmp<volScalarField> SpalartAllmarasDES<BasicTurbulenceModel>::r
-(
-    const volScalarField& nur,
-    const volScalarField& Omega,
-    const volScalarField& dTilda
-) const
-{
-    tmp<volScalarField> tr
-    (
-        min
-        (
-            nur
-           /(
-                max
-                (
-                    Omega,
-                    dimensionedScalar("SMALL", Omega.dimensions(), SMALL)
-                )
-                *sqr(kappa_*dTilda)
-            ),
-            scalar(10)
-        )
-    );
-    tr.ref().boundaryFieldRef() == 0.0;
-
-    return tr;
-}
-
-
-template<class BasicTurbulenceModel>
-tmp<volScalarField> SpalartAllmarasDES<BasicTurbulenceModel>::fw
-(
-    const volScalarField& Omega,
-    const volScalarField& dTilda
-) const
-{
-    const volScalarField r(this->r(nuTilda_, Omega, dTilda));
-    const volScalarField g(r + Cw2_*(pow6(r) - r));
-
-    return g*pow((1 + pow6(Cw3_))/(pow6(g) + pow6(Cw3_)), 1.0/6.0);
-}
-
-
 template<class BasicTurbulenceModel>
 tmp<volScalarField> SpalartAllmarasDES<BasicTurbulenceModel>::psi
 (
@@ -159,26 +46,23 @@ tmp<volScalarField> SpalartAllmarasDES<BasicTurbulenceModel>::psi
     const volScalarField& fv1
 ) const
 {
-    tmp<volScalarField> tpsi
+    auto tpsi = tmp<volScalarField>::New
-    (
-        new volScalarField
     (
         IOobject
         (
-                type() + ":psi",
+            IOobject::scopedName(type(), "psi"),
             this->time().timeName(),
             this->mesh(),
             IOobject::NO_READ,
             IOobject::NO_WRITE
         ),
         this->mesh(),
-            dimensionedScalar("one", dimless, 1)
+        dimensionedScalar(dimless, Zero)
-        )
     );
 
     if (lowReCorrection_)
     {
-        volScalarField& psi = tpsi.ref();
+        auto& psi = tpsi.ref();
 
         const volScalarField fv2(this->fv2(chi, fv1));
         const volScalarField ft2(this->ft2(chi));
@@ -189,7 +73,8 @@ tmp<volScalarField> SpalartAllmarasDES<BasicTurbulenceModel>::psi
                 min
                 (
                     scalar(100),
-                    (1 - Cb1_/(Cw1_*sqr(kappa_)*fwStar_)*(ft2 + (1 - ft2)*fv2))
+                    (1 - this->Cb1_/(this->Cw1_*sqr(this->kappa_)*fwStar_)
+                   *(ft2 + (1 - ft2)*fv2))
                    /max(SMALL, (fv1*max(scalar(1e-10), 1 - ft2)))
                 )
             );
@@ -199,6 +84,57 @@ tmp<volScalarField> SpalartAllmarasDES<BasicTurbulenceModel>::psi
 }
 
 
+template<class BasicTurbulenceModel>
+tmp<volScalarField> SpalartAllmarasDES<BasicTurbulenceModel>::lengthScaleLES
+(
+    const volScalarField& chi,
+    const volScalarField& fv1
+) const
+{
+    return psi(chi, fv1)*CDES_*this->delta();
+}
+
+
+template<class BasicTurbulenceModel>
+tmp<volScalarField> SpalartAllmarasDES<BasicTurbulenceModel>::Stilda
+(
+    const volScalarField& chi,
+    const volScalarField& fv1,
+    const volTensorField& gradU,
+    const volScalarField& dTilda
+) const
+{
+    if (useSigma_)
+    {
+        const volScalarField& lRAS = this->y_;
+        const volScalarField fv2(this->fv2(chi, fv1));
+        const volScalarField lLES(this->lengthScaleLES(chi, fv1));
+        const volScalarField Omega(this->Omega(gradU));
+        const volScalarField Ssigma(this->Ssigma(gradU));
+        const volScalarField SsigmaDES
+        (
+            pos(dTilda - lRAS)*Omega + (scalar(1) - pos(dTilda - lRAS))*Ssigma
+        );
+
+        return
+            max
+            (
+                SsigmaDES + fv2*this->nuTilda_/sqr(this->kappa_*dTilda),
+                this->Cs_*SsigmaDES
+            );
+    }
+
+    return
+        SpalartAllmarasBase<DESModel<BasicTurbulenceModel>>::Stilda
+        (
+            chi,
+            fv1,
+            gradU,
+            dTilda
+        );
+}
+
+
 template<class BasicTurbulenceModel>
 tmp<volScalarField> SpalartAllmarasDES<BasicTurbulenceModel>::dTilda
 (
@@ -207,33 +143,15 @@ tmp<volScalarField> SpalartAllmarasDES<BasicTurbulenceModel>::dTilda
     const volTensorField& gradU
 ) const
 {
-    tmp<volScalarField> tdTilda(psi(chi, fv1)*CDES_*this->delta());
+    // Initialise with LES length scale
-    min(tdTilda.ref().ref(), tdTilda(), y_);
+    tmp<volScalarField> tdTilda = lengthScaleLES(chi, fv1);
+
+    // Take min vs wall distance
+    min(tdTilda.ref(), tdTilda(), this->y_);
     return tdTilda;
 }
 
 
-template<class BasicTurbulenceModel>
-void SpalartAllmarasDES<BasicTurbulenceModel>::correctNut
-(
-    const volScalarField& fv1
-)
-{
-    this->nut_ = nuTilda_*fv1;
-    this->nut_.correctBoundaryConditions();
-    fv::options::New(this->mesh_).correct(this->nut_);
-
-    BasicTurbulenceModel::correctNut();
-}
-
-
-template<class BasicTurbulenceModel>
-void SpalartAllmarasDES<BasicTurbulenceModel>::correctNut()
-{
-    correctNut(fv1(this->chi()));
-}
-
-
 // * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
 
 template<class BasicTurbulenceModel>
@@ -249,7 +167,7 @@ SpalartAllmarasDES<BasicTurbulenceModel>::SpalartAllmarasDES
     const word& type
 )
 :
-    DESModel<BasicTurbulenceModel>
+    SpalartAllmarasBase<DESModel<BasicTurbulenceModel>>
     (
         type,
         alpha,
@@ -261,77 +179,13 @@ SpalartAllmarasDES<BasicTurbulenceModel>::SpalartAllmarasDES
         propertiesName
     ),
 
-    sigmaNut_
+    useSigma_
     (
-        dimensioned<scalar>::getOrAddToDict
+        Switch::getOrAddToDict
         (
-            "sigmaNut",
+            "useSigma",
             this->coeffDict_,
-            0.66666
+            false
-        )
-    ),
-    kappa_
-    (
-        dimensioned<scalar>::getOrAddToDict
-        (
-            "kappa",
-            this->coeffDict_,
-            0.41
-        )
-    ),
-    Cb1_
-    (
-        dimensioned<scalar>::getOrAddToDict
-        (
-            "Cb1",
-            this->coeffDict_,
-            0.1355
-        )
-    ),
-    Cb2_
-    (
-        dimensioned<scalar>::getOrAddToDict
-        (
-            "Cb2",
-            this->coeffDict_,
-            0.622
-        )
-    ),
-    Cw1_(Cb1_/sqr(kappa_) + (1.0 + Cb2_)/sigmaNut_),
-    Cw2_
-    (
-        dimensioned<scalar>::getOrAddToDict
-        (
-            "Cw2",
-            this->coeffDict_,
-            0.3
-        )
-    ),
-    Cw3_
-    (
-        dimensioned<scalar>::getOrAddToDict
-        (
-            "Cw3",
-            this->coeffDict_,
-            2.0
-        )
-    ),
-    Cv1_
-    (
-        dimensioned<scalar>::getOrAddToDict
-        (
-            "Cv1",
-            this->coeffDict_,
-            7.1
-        )
-    ),
-    Cs_
-    (
-        dimensioned<scalar>::getOrAddToDict
-        (
-            "Cs",
-            this->coeffDict_,
-            0.3
         )
     ),
     CDES_
@@ -343,15 +197,6 @@ SpalartAllmarasDES<BasicTurbulenceModel>::SpalartAllmarasDES
             0.65
         )
     ),
-    ck_
-    (
-        dimensioned<scalar>::getOrAddToDict
-        (
-            "ck",
-            this->coeffDict_,
-            0.07
-        )
-    ),
     lowReCorrection_
     (
         Switch::getOrAddToDict
@@ -361,24 +206,6 @@ SpalartAllmarasDES<BasicTurbulenceModel>::SpalartAllmarasDES
             true
         )
     ),
-    Ct3_
-    (
-        dimensioned<scalar>::getOrAddToDict
-        (
-            "Ct3",
-            this->coeffDict_,
-            1.2
-        )
-    ),
-    Ct4_
-    (
-        dimensioned<scalar>::getOrAddToDict
-        (
-            "Ct4",
-            this->coeffDict_,
-            0.5
-        )
-    ),
     fwStar_
     (
         dimensioned<scalar>::getOrAddToDict
@@ -387,25 +214,19 @@ SpalartAllmarasDES<BasicTurbulenceModel>::SpalartAllmarasDES
             this->coeffDict_,
             0.424
         )
-    ),
+    )
-
-    nuTilda_
-    (
-        IOobject
-        (
-            "nuTilda",
-            this->runTime_.timeName(),
-            this->mesh_,
-            IOobject::MUST_READ,
-            IOobject::AUTO_WRITE
-        ),
-        this->mesh_
-    ),
-
-    y_(wallDist::New(this->mesh_).y())
 {
+    // Note: Ctrans coeff is model specific; for S-A = 67.7
+    this->Ctrans_ =
+        dimensioned<scalar>::getOrAddToDict("Ctrans", this->coeffDict_, 67.7);
+
     if (type == typeName)
     {
+        WarningInFunction
+            << "This model is not recommended and will be deprecated in future "
+            << "releases. Please consider using the DDES/IDDES versions instead"
+            << endl;
+
         this->printCoeffs(type);
     }
 }
@@ -416,25 +237,11 @@ SpalartAllmarasDES<BasicTurbulenceModel>::SpalartAllmarasDES
 template<class BasicTurbulenceModel>
 bool SpalartAllmarasDES<BasicTurbulenceModel>::read()
 {
-    if (DESModel<BasicTurbulenceModel>::read())
+    if (SpalartAllmarasBase<DESModel<BasicTurbulenceModel>>::read())
     {
-        sigmaNut_.readIfPresent(this->coeffDict());
+        useSigma_.readIfPresent("useSigma", this->coeffDict());
-        kappa_.readIfPresent(*this);
-
-        Cb1_.readIfPresent(this->coeffDict());
-        Cb2_.readIfPresent(this->coeffDict());
-        Cw1_ = Cb1_/sqr(kappa_) + (1.0 + Cb2_)/sigmaNut_;
-        Cw2_.readIfPresent(this->coeffDict());
-        Cw3_.readIfPresent(this->coeffDict());
-        Cv1_.readIfPresent(this->coeffDict());
-        Cs_.readIfPresent(this->coeffDict());
-
         CDES_.readIfPresent(this->coeffDict());
-        ck_.readIfPresent(this->coeffDict());
-
         lowReCorrection_.readIfPresent("lowReCorrection", this->coeffDict());
-        Ct3_.readIfPresent(this->coeffDict());
-        Ct4_.readIfPresent(this->coeffDict());
         fwStar_.readIfPresent(this->coeffDict());
 
         return true;
@@ -445,124 +252,24 @@ bool SpalartAllmarasDES<BasicTurbulenceModel>::read()
 
 
 template<class BasicTurbulenceModel>
-tmp<volScalarField> SpalartAllmarasDES<BasicTurbulenceModel>::
+tmp<volScalarField>
-DnuTildaEff() const
+SpalartAllmarasDES<BasicTurbulenceModel>::LESRegion() const
-{
-    return tmp<volScalarField>
-    (
-        new volScalarField("DnuTildaEff", (nuTilda_ + this->nu())/sigmaNut_)
-    );
-}
-
-
-template<class BasicTurbulenceModel>
-tmp<volScalarField> SpalartAllmarasDES<BasicTurbulenceModel>::k() const
 {
     const volScalarField chi(this->chi());
     const volScalarField fv1(this->fv1(chi));
 
-    tmp<volScalarField> tdTilda
+    return tmp<volScalarField>::New
-    (
-        new volScalarField
     (
         IOobject
         (
-                "dTilda",
+            IOobject::scopedName("DES", "LESRegion"),
             this->mesh_.time().timeName(),
             this->mesh_,
             IOobject::NO_READ,
             IOobject::NO_WRITE
         ),
-            this->mesh_,
+        neg(dTilda(chi, fv1, fvc::grad(this->U_)) - this->y_)
-            dimensionedScalar(dimLength, Zero),
-            zeroGradientFvPatchField<vector>::typeName
-        )
     );
-    volScalarField& dTildaF = tdTilda.ref();
-    dTildaF = dTilda(chi, fv1, fvc::grad(this->U_));
-    dTildaF.correctBoundaryConditions();
-
-    return sqr(this->nut()/ck_/dTildaF);
-}
-
-
-template<class BasicTurbulenceModel>
-tmp<volScalarField> SpalartAllmarasDES<BasicTurbulenceModel>::LESRegion() const
-{
-    const volScalarField chi(this->chi());
-    const volScalarField fv1(this->fv1(chi));
-
-    tmp<volScalarField> tLESRegion
-    (
-        new volScalarField
-        (
-            IOobject
-            (
-                "DES::LESRegion",
-                this->mesh_.time().timeName(),
-                this->mesh_,
-                IOobject::NO_READ,
-                IOobject::NO_WRITE
-            ),
-            neg(dTilda(chi, fv1, fvc::grad(this->U_)) - y_)
-        )
-    );
-
-    return tLESRegion;
-}
-
-
-template<class BasicTurbulenceModel>
-void SpalartAllmarasDES<BasicTurbulenceModel>::correct()
-{
-    if (!this->turbulence_)
-    {
-        return;
-    }
-
-    // Local references
-    const alphaField& alpha = this->alpha_;
-    const rhoField& rho = this->rho_;
-    const surfaceScalarField& alphaRhoPhi = this->alphaRhoPhi_;
-    const volVectorField& U = this->U_;
-    fv::options& fvOptions(fv::options::New(this->mesh_));
-
-    DESModel<BasicTurbulenceModel>::correct();
-
-    const volScalarField chi(this->chi());
-    const volScalarField fv1(this->fv1(chi));
-    const volScalarField ft2(this->ft2(chi));
-
-    tmp<volTensorField> tgradU = fvc::grad(U);
-    const volScalarField Omega(this->Omega(tgradU()));
-    const volScalarField dTilda(this->dTilda(chi, fv1, tgradU()));
-    const volScalarField Stilda(this->Stilda(chi, fv1, Omega, dTilda));
-
-    tmp<fvScalarMatrix> nuTildaEqn
-    (
-        fvm::ddt(alpha, rho, nuTilda_)
-      + fvm::div(alphaRhoPhi, nuTilda_)
-      - fvm::laplacian(alpha*rho*DnuTildaEff(), nuTilda_)
-      - Cb2_/sigmaNut_*alpha*rho*magSqr(fvc::grad(nuTilda_))
-     ==
-        Cb1_*alpha*rho*Stilda*nuTilda_*(scalar(1) - ft2)
-      - fvm::Sp
-        (
-            (Cw1_*fw(Stilda, dTilda) - Cb1_/sqr(kappa_)*ft2)
-           *alpha*rho*nuTilda_/sqr(dTilda),
-            nuTilda_
-        )
-      + fvOptions(alpha, rho, nuTilda_)
-    );
-
-    nuTildaEqn.ref().relax();
-    fvOptions.constrain(nuTildaEqn.ref());
-    solve(nuTildaEqn);
-    fvOptions.correct(nuTilda_);
-    bound(nuTilda_, dimensionedScalar(nuTilda_.dimensions(), Zero));
-    nuTilda_.correctBoundaryConditions();
-
-    correctNut();
 }
 
 

src/TurbulenceModels/turbulenceModels/DES/SpalartAllmarasDES/SpalartAllmarasDES.H

@@ -6,7 +6,7 @@
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
     Copyright (C) 2011-2016 OpenFOAM Foundation
-    Copyright (C) 2015-2019 OpenCFD Ltd.
+    Copyright (C) 2015-2022 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -32,7 +32,7 @@ Group
 
 Description
     SpalartAllmarasDES DES turbulence model for incompressible and
-    compressible flows
+    compressible flows.
 
     Reference:
     \verbatim
@@ -44,11 +44,12 @@ Description
 
     Including the low Reynolds number correction documented in
     \verbatim
-        Spalart, P. R., Deck, S., Shur, M.L., Squires, K.D., Strelets, M.Kh,
+        Spalart, P. R., Deck, S., Shur, M. L., Squires,
-        Travin, A. (2006).
+        K. D., Strelets, M. K., & Travin, A. (2006).
-        A new version of detached-eddy simulation, resistant to ambiguous grid
+        A new version of detached-eddy simulation,
-        densities.
+        resistant to ambiguous grid densities.
-        Theor. Comput. Fluid Dyn., 20, 181-195.
+        Theoretical and computational fluid dynamics, 20(3), 181-195.
+        DOI:10.1007/s00162-006-0015-0
     \endverbatim
 
 Note
@@ -61,9 +62,10 @@ SourceFiles
 
 \*---------------------------------------------------------------------------*/
 
-#ifndef SpalartAllmarasDES_H
+#ifndef Foam_SpalartAllmarasDES_H
-#define SpalartAllmarasDES_H
+#define Foam_SpalartAllmarasDES_H
 
+#include "SpalartAllmarasBase.H"
 #include "DESModel.H"
 
 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
@@ -80,7 +82,7 @@ namespace LESModels
 template<class BasicTurbulenceModel>
 class SpalartAllmarasDES
 :
-    public DESModel<BasicTurbulenceModel>
+    public SpalartAllmarasBase<DESModel<BasicTurbulenceModel>>
 {
     // Private Member Functions
 
@@ -93,86 +95,47 @@ class SpalartAllmarasDES
 
 protected:
 
-    // Protected data
+    // Protected Data
+
+        //- Switch to activate grey-area enhanced sigma-(D)DES
+        Switch useSigma_;
 
         // Model constants
 
-            dimensionedScalar sigmaNut_;
+            //- DES coefficient
-            dimensionedScalar kappa_;
-
-            dimensionedScalar Cb1_;
-            dimensionedScalar Cb2_;
-            dimensionedScalar Cw1_;
-            dimensionedScalar Cw2_;
-            dimensionedScalar Cw3_;
-            dimensionedScalar Cv1_;
-            dimensionedScalar Cs_;
             dimensionedScalar CDES_;
-            dimensionedScalar ck_;
-
-
-            // Low Reynolds number correction
 
+            //- Flag for low Reynolds number correction
             Switch lowReCorrection_;
-                dimensionedScalar Ct3_;
-                dimensionedScalar Ct4_;
             dimensionedScalar fwStar_;
 
 
-        // Fields
-
-            volScalarField nuTilda_;
-
-            //- Wall distance
-            //  Note: different to wall distance in parent RASModel
-            //  which is for near-wall cells only
-            const volScalarField& y_;
-
-
     // Protected Member Functions
 
-        tmp<volScalarField> chi() const;
+        //- Return the low Reynolds number correction function
-
+        virtual tmp<volScalarField> psi
-        tmp<volScalarField> fv1(const volScalarField& chi) const;
-
-        tmp<volScalarField> fv2
         (
             const volScalarField& chi,
             const volScalarField& fv1
         ) const;
 
-        tmp<volScalarField> ft2(const volScalarField& chi) const;
+        //- Return the LES length scale
+        virtual tmp<volScalarField> lengthScaleLES
+        (
+            const volScalarField& chi,
+            const volScalarField& fv1
+        ) const;
 
-        tmp<volScalarField> Omega(const volTensorField& gradU) const;
+        //- Return the production term
-
+        virtual tmp<volScalarField> Stilda
-        tmp<volScalarField> Stilda
         (
             const volScalarField& chi,
             const volScalarField& fv1,
-            const volScalarField& Omega,
+            const volTensorField& gradU,
             const volScalarField& dTilda
         ) const;
 
-        tmp<volScalarField> r
+        //- Return the length scale
-        (
-            const volScalarField& nur,
-            const volScalarField& Omega,
-            const volScalarField& dTilda
-        ) const;
-
-        tmp<volScalarField> fw
-        (
-            const volScalarField& Omega,
-            const volScalarField& dTilda
-        ) const;
-
-        tmp<volScalarField> psi
-        (
-            const volScalarField& chi,
-            const volScalarField& fv1
-        ) const;
-
-        //- Length scale
         virtual tmp<volScalarField> dTilda
         (
             const volScalarField& chi,
@@ -180,9 +143,6 @@ protected:
             const volTensorField& gradU
         ) const;
 
-        void correctNut(const volScalarField& fv1);
-        virtual void correctNut();
-
 
 public:
 
@@ -220,22 +180,8 @@ public:
         //- Re-read model coefficients if they have changed
         virtual bool read();
 
-        //- Return the effective diffusivity for nuTilda
-        tmp<volScalarField> DnuTildaEff() const;
-
-        //- Return SGS kinetic energy
-        virtual tmp<volScalarField> k() const;
-
-        tmp<volScalarField> nuTilda() const
-        {
-            return nuTilda_;
-        }
-
         //- Return the LES field indicator
         virtual tmp<volScalarField> LESRegion() const;
-
-        //- Correct nuTilda and related properties
-        virtual void correct();
 };
 
 

src/TurbulenceModels/turbulenceModels/DES/SpalartAllmarasIDDES/SpalartAllmarasIDDES.C

@@ -6,7 +6,7 @@
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
     Copyright (C) 2011-2015 OpenFOAM Foundation
-    Copyright (C) 2015-2020 OpenCFD Ltd.
+    Copyright (C) 2015-2022 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -64,7 +64,7 @@ tmp<volScalarField> SpalartAllmarasIDDES<BasicTurbulenceModel>::ft
     const volScalarField& magGradU
 ) const
 {
-    return tanh(pow3(sqr(Ct_)*rd(this->nut_, magGradU)));
+    return tanh(pow3(sqr(Ct_)*this->r(this->nut_, magGradU, this->y_)));
 }
 
 
@@ -74,36 +74,7 @@ tmp<volScalarField> SpalartAllmarasIDDES<BasicTurbulenceModel>::fl
     const volScalarField& magGradU
 ) const
 {
-    return tanh(pow(sqr(Cl_)*rd(this->nu(), magGradU), 10));
+    return tanh(pow(sqr(Cl_)*this->r(this->nu(), magGradU, this->y_), 10));
-}
-
-
-template<class BasicTurbulenceModel>
-tmp<volScalarField> SpalartAllmarasIDDES<BasicTurbulenceModel>::rd
-(
-    const volScalarField& nur,
-    const volScalarField& magGradU
-) const
-{
-    tmp<volScalarField> tr
-    (
-        min
-        (
-            nur
-           /(
-                max
-                (
-                    magGradU,
-                    dimensionedScalar("SMALL", magGradU.dimensions(), SMALL)
-                )
-               *sqr(this->kappa_*this->y_)
-            ),
-            scalar(10)
-        )
-    );
-    tr.ref().boundaryFieldRef() == 0.0;
-
-    return tr;
 }
 
 
@@ -113,7 +84,7 @@ tmp<volScalarField> SpalartAllmarasIDDES<BasicTurbulenceModel>::fdt
     const volScalarField& magGradU
 ) const
 {
-    return 1 - tanh(pow(Cdt1_*rd(this->nut_, magGradU), Cdt2_));
+    return 1 - tanh(pow(Cdt1_*this->r(this->nut_, magGradU, this->y_), Cdt2_));
 }
 
 
@@ -130,26 +101,21 @@ tmp<volScalarField> SpalartAllmarasIDDES<BasicTurbulenceModel>::dTilda
     const volScalarField magGradU(mag(gradU));
     const volScalarField psi(this->psi(chi, fv1));
 
-    const volScalarField& lRAS(this->y_);
+    const volScalarField& lRAS = this->y_;
     const volScalarField lLES(psi*this->CDES_*this->delta());
 
     const volScalarField alpha(this->alpha());
     const volScalarField expTerm(exp(sqr(alpha)));
 
     tmp<volScalarField> fB = min(2*pow(expTerm, -9.0), scalar(1));
-    tmp<volScalarField> fe1 =
-        2*(pos0(alpha)*pow(expTerm, -11.09) + neg(alpha)*pow(expTerm, -9.0));
-    tmp<volScalarField> fe2 = 1 - max(ft(magGradU), fl(magGradU));
-    tmp<volScalarField> fe = max(fe1 - 1, scalar(0))*psi*fe2;
-
     const volScalarField fdTilda(max(1 - fdt(magGradU), fB));
 
-    // Simplified formulation from Gritskevich et al. paper (2011) where fe = 0
+    if (fe_)
-    // return max
+    {
-    // (
+        tmp<volScalarField> fe1 =
-    //     fdTilda*lRAS + (1 - fdTilda)*lLES,
+            2*(pos0(alpha)*pow(expTerm, -11.09) + neg(alpha)*pow(expTerm, -9.));
-    //     dimensionedScalar("SMALL", dimLength, SMALL)
+        tmp<volScalarField> fe2 = 1 - max(ft(magGradU), fl(magGradU));
-    // );
+        tmp<volScalarField> fe = max(fe1 - 1, scalar(0))*psi*fe2;
 
         // Original formulation from Shur et al. paper (2008)
         return max
@@ -157,6 +123,15 @@ tmp<volScalarField> SpalartAllmarasIDDES<BasicTurbulenceModel>::dTilda
             fdTilda*(1 + fe)*lRAS + (1 - fdTilda)*lLES,
             dimensionedScalar("SMALL", dimLength, SMALL)
         );
+    }
+
+
+    // Simplified formulation from Gritskevich et al. paper (2011) where fe = 0
+    return max
+    (
+        fdTilda*lRAS + (1 - fdTilda)*lLES,
+        dimensionedScalar("SMALL", dimLength, SMALL)
+    );
 }
 
 
@@ -223,6 +198,16 @@ SpalartAllmarasIDDES<BasicTurbulenceModel>::SpalartAllmarasIDDES
             1.63
         )
     ),
+    fe_
+    (
+        Switch::getOrAddToDict
+        (
+            "fe",
+            this->coeffDict_,
+            true
+        )
+    ),
+
     IDDESDelta_(setDelta())
 {
     if (type == typeName)
@@ -251,6 +236,17 @@ bool SpalartAllmarasIDDES<BasicTurbulenceModel>::read()
 }
 
 
+template<class BasicTurbulenceModel>
+tmp<volScalarField> SpalartAllmarasIDDES<BasicTurbulenceModel>::fd() const
+{
+    const volScalarField alpha(this->alpha());
+    const volScalarField expTerm(exp(sqr(alpha)));
+
+    tmp<volScalarField> fB = min(2*pow(expTerm, -9.0), scalar(1));
+    return max(1 - fdt(mag(fvc::grad(this->U_))), fB);
+}
+
+
 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
 } // End namespace LESModels

src/TurbulenceModels/turbulenceModels/DES/SpalartAllmarasIDDES/SpalartAllmarasIDDES.H

@@ -6,7 +6,7 @@
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
     Copyright (C) 2011-2016 OpenFOAM Foundation
-    Copyright (C) 2019 OpenCFD Ltd.
+    Copyright (C) 2019-2022 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -31,15 +31,16 @@ Group
     grpDESTurbulence
 
 Description
-    SpalartAllmaras IDDES turbulence model for incompressible and compressible
+    SpalartAllmaras IDDES turbulence model
-    flows
+    for incompressible and compressible flows.
 
     Reference:
     \verbatim
         Shur, M. L., Spalart, P. R., Strelets, M. K., & Travin, A. K. (2008).
-        A hybrid RANS-LES approach with delayed-DES and wall-modelled LES
+        A hybrid RANS-LES approach with delayed-DES
-        capabilities.
+        and wall-modelled LES capabilities.
-        International Journal of Heat and Fluid Flow, 29(6), 1638-1649.
+        International journal of heat and fluid flow, 29(6), 1638-1649.
+        DOI:10.1016/j.ijheatfluidflow.2008.07.001
     \endverbatim
 
 SourceFiles
@@ -47,8 +48,8 @@ SourceFiles
 
 \*---------------------------------------------------------------------------*/
 
-#ifndef SpalartAllmarasIDDES_H
+#ifndef Foam_SpalartAllmarasIDDES_H
-#define SpalartAllmarasIDDES_H
+#define Foam_SpalartAllmarasIDDES_H
 
 #include "SpalartAllmarasDES.H"
 #include "IDDESDelta.H"
@@ -75,14 +76,10 @@ class SpalartAllmarasIDDES
         const IDDESDelta& setDelta() const;
 
         tmp<volScalarField> alpha() const;
-        tmp<volScalarField> ft(const volScalarField& magGradU) const;
-        tmp<volScalarField> fl(const volScalarField& magGradU) const;
 
-        tmp<volScalarField> rd
+        tmp<volScalarField> ft(const volScalarField& magGradU) const;
-        (
+
-            const volScalarField& nur,
+        tmp<volScalarField> fl(const volScalarField& magGradU) const;
-            const volScalarField& magGradU
-        ) const;
 
         //- Delay function
         tmp<volScalarField> fdt(const volScalarField& magGradU) const;
@@ -96,7 +93,7 @@ class SpalartAllmarasIDDES
 
 protected:
 
-    // Protected data
+    // Protected Data
 
         // Model coefficients
 
@@ -104,14 +101,16 @@ protected:
             dimensionedScalar Cdt2_;
             dimensionedScalar Cl_;
             dimensionedScalar Ct_;
+            Switch fe_;
 
-        // Fields
 
+        //- IDDES delta
         const IDDESDelta& IDDESDelta_;
 
+
     // Protected Member Functions
 
-        //- Length scale
+        //- Return the length scale
         virtual tmp<volScalarField> dTilda
         (
             const volScalarField& chi,
@@ -155,6 +154,9 @@ public:
 
         //- Re-read model coefficients if they have changed
         virtual bool read();
+
+        //- Return the shielding function
+        virtual tmp<volScalarField> fd() const;
 };
 
 

src/TurbulenceModels/turbulenceModels/DES/kOmegaSSTDDES/kOmegaSSTDDES.C

@@ -6,7 +6,8 @@
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
     Copyright (C) 2015 OpenFOAM Foundation
-    Copyright (C) 2016-2020 OpenCFD Ltd.
+    Copyright (C) 2022 Upstream CFD GmbH
+    Copyright (C) 2016-2022 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -37,46 +38,44 @@ namespace LESModels
 
 // * * * * * * * * * * * * Private Member Functions  * * * * * * * * * * * * //
 
-template<class BasicTurbulenceModel>
-tmp<volScalarField> kOmegaSSTDDES<BasicTurbulenceModel>::rd
-(
-    const volScalarField& magGradU
-) const
-{
-    tmp<volScalarField> tr
-    (
-        min
-        (
-            this->nuEff()
-           /(
-                max
-                (
-                    magGradU,
-                    dimensionedScalar("SMALL", magGradU.dimensions(), SMALL)
-                )
-                *sqr(this->kappa_*this->y_)
-            ),
-            scalar(10)
-        )
-    );
-    tr.ref().boundaryFieldRef() == 0.0;
-
-    return tr;
-}
-
-
 template<class BasicTurbulenceModel>
 tmp<volScalarField> kOmegaSSTDDES<BasicTurbulenceModel>::fd
 (
     const volScalarField& magGradU
 ) const
 {
-    return 1 - tanh(pow(Cd1_*rd(magGradU), Cd2_));
+    return 1 - tanh(pow(Cd1_*this->r(this->nuEff(), magGradU), Cd2_));
 }
 
 
 // * * * * * * * * * * * * Protected Member Functions  * * * * * * * * * * * //
 
+template<class BasicTurbulenceModel>
+tmp<volScalarField> kOmegaSSTDDES<BasicTurbulenceModel>::S2
+(
+    const volScalarField& F1,
+    const volTensorField& gradU
+) const
+{
+    tmp<volScalarField> tS2 =
+        kOmegaSSTBase<DESModel<BasicTurbulenceModel>>::S2(F1, gradU);
+
+    if (this->useSigma_)
+    {
+        volScalarField& S2 = tS2.ref();
+        const volScalarField CDES(this->CDES(F1));
+        const volScalarField Ssigma(this->Ssigma(gradU));
+
+        S2 -=
+            fd(mag(gradU))
+           *pos(this->lengthScaleRAS() - this->lengthScaleLES(CDES))
+           *(S2 - sqr(Ssigma));
+    }
+
+    return tS2;
+}
+
+
 template<class BasicTurbulenceModel>
 tmp<volScalarField> kOmegaSSTDDES<BasicTurbulenceModel>::dTilda
 (
@@ -84,25 +83,46 @@ tmp<volScalarField> kOmegaSSTDDES<BasicTurbulenceModel>::dTilda
     const volScalarField& CDES
 ) const
 {
-    const volScalarField& k = this->k_;
+    const volScalarField lRAS(this->lengthScaleRAS());
-    const volScalarField& omega = this->omega_;
+    const volScalarField lLES(this->lengthScaleLES(CDES));
-
+    const dimensionedScalar l0(dimLength, Zero);
-    const volScalarField lRAS(sqrt(k)/(this->betaStar_*omega));
-    const volScalarField lLES(CDES*this->delta());
 
     return max
     (
-        lRAS
+        lRAS - fd(magGradU)*max(lRAS - lLES, l0),
-      - fd(magGradU)
-       *max
-        (
-            lRAS - lLES,
-            dimensionedScalar(dimLength, Zero)
-        ),
         dimensionedScalar("small", dimLength, SMALL)
     );
 }
 
+template<class BasicTurbulenceModel>
+tmp<volScalarField::Internal> kOmegaSSTDDES<BasicTurbulenceModel>::GbyNu0
+(
+    const volTensorField& gradU,
+    const volScalarField& F1,
+    const volScalarField& S2
+) const
+{
+    if (this->useSigma_)
+    {
+        return S2();
+    }
+
+    return
+        kOmegaSSTBase<DESModel<BasicTurbulenceModel>>::GbyNu0(gradU, F1, S2);
+}
+
+
+template<class BasicTurbulenceModel>
+tmp<volScalarField::Internal> kOmegaSSTDDES<BasicTurbulenceModel>::GbyNu
+(
+    const volScalarField::Internal& GbyNu0,
+    const volScalarField::Internal& F2,
+    const volScalarField::Internal& S2
+) const
+{
+    return GbyNu0; // Unlimited
+}
+
 
 // * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
 
@@ -133,7 +153,14 @@ kOmegaSSTDDES<BasicTurbulenceModel>::kOmegaSSTDDES
 
     Cd1_
     (
-        dimensioned<scalar>::getOrAddToDict
+        this->useSigma_
+          ? dimensioned<scalar>::getOrAddToDict
+            (
+                "Cd1Sigma",
+                this->coeffDict_,
+                22
+            )
+          : dimensioned<scalar>::getOrAddToDict
             (
                 "Cd1",
                 this->coeffDict_,
@@ -174,6 +201,13 @@ bool kOmegaSSTDDES<BasicTurbulenceModel>::read()
 }
 
 
+template<class BasicTurbulenceModel>
+tmp<volScalarField> kOmegaSSTDDES<BasicTurbulenceModel>::fd() const
+{
+    return fd(mag(fvc::grad(this->U_)));
+}
+
+
 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
 } // End namespace LESModels

src/TurbulenceModels/turbulenceModels/DES/kOmegaSSTDDES/kOmegaSSTDDES.H

@@ -6,7 +6,8 @@
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
     Copyright (C) 2015 OpenFOAM Foundation
-    Copyright (C) 2019 OpenCFD Ltd.
+    Copyright (C) 2022 Upstream CFD GmbH
+    Copyright (C) 2019, 2022 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -31,14 +32,16 @@ Group
     grpDESTurbulence
 
 Description
-    k-omega-SST DDES turbulence model for incompressible and compressible flows
+    k-omega-SST DDES turbulence model for incompressible and compressible flows.
 
     Reference:
     \verbatim
-        Gritskevich, M.S., Garbaruk, A.V., Schuetze, J., Menter, F.R. (2011)
+        Gritskevich, M. S., Garbaruk, A. V.,
-        Development of DDES and IDDES Formulations for the k-omega
+        Schütze, J., & Menter, F. R. (2012).
-        Shear Stress Transport Model, Flow, Turbulence and Combustion,
+        Development of DDES and IDDES formulations for
-        pp. 1-19
+        the k-ω shear stress transport model.
+        Flow, turbulence and combustion, 88(3), 431-449.
+        DOI:10.1007/s10494-011-9378-4
     \endverbatim
 
 SourceFiles
@@ -46,8 +49,8 @@ SourceFiles
 
 \*---------------------------------------------------------------------------*/
 
-#ifndef kOmegaSSTDDES_H
+#ifndef Foam_kOmegaSSTDDES_H
-#define kOmegaSSTDDES_H
+#define Foam_kOmegaSSTDDES_H
 
 #include "kOmegaSSTDES.H"
 
@@ -69,10 +72,9 @@ class kOmegaSSTDDES
 {
     // Private Member Functions
 
+        //- Return the shielding function field
         tmp<volScalarField> fd(const volScalarField& magGradU) const;
 
-        tmp<volScalarField> rd(const volScalarField& magGradU) const;
-
         //- No copy construct
         kOmegaSSTDDES(const kOmegaSSTDDES&) = delete;
 
@@ -82,7 +84,7 @@ class kOmegaSSTDDES
 
 protected:
 
-    // Protected data
+    // Protected Data
 
         // Model coefficients
 
@@ -92,6 +94,13 @@ protected:
 
     // Protected Member Functions
 
+        //- Return square of strain rate
+        virtual tmp<volScalarField> S2
+        (
+            const volScalarField& F1,
+            const volTensorField& gradU
+        ) const;
+
         //- Length scale
         virtual tmp<volScalarField> dTilda
         (
@@ -99,6 +108,21 @@ protected:
             const volScalarField& CDES
         ) const;
 
+        //- Return (G/nu)_0
+        virtual tmp<volScalarField::Internal> GbyNu0
+        (
+            const volTensorField& gradU,
+            const volScalarField& F1,
+            const volScalarField& S2
+        ) const;
+
+        //- Return G/nu
+        virtual tmp<volScalarField::Internal> GbyNu
+        (
+            const volScalarField::Internal& GbyNu0,
+            const volScalarField::Internal& F2,
+            const volScalarField::Internal& S2
+        ) const;
 
 public:
 
@@ -135,6 +159,9 @@ public:
 
         //- Re-read model coefficients if they have changed
         virtual bool read();
+
+        //- Return the shielding function
+        virtual tmp<volScalarField> fd() const;
 };
 
 

src/TurbulenceModels/turbulenceModels/DES/kOmegaSSTDES/kOmegaSSTDES.C

@@ -6,7 +6,8 @@
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
     Copyright (C) 2015 OpenFOAM Foundation
-    Copyright (C) 2016-2020 OpenCFD Ltd.
+    Copyright (C) 2022 Upstream CFD GmbH
+    Copyright (C) 2016-2022 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -55,6 +56,51 @@ void kOmegaSSTDES<BasicTurbulenceModel>::correctNut()
 }
 
 
+template<class BasicTurbulenceModel>
+tmp<volScalarField> kOmegaSSTDES<BasicTurbulenceModel>::r
+(
+    const volScalarField& nur,
+    const volScalarField& magGradU
+) const
+{
+    const dimensionedScalar eps(magGradU.dimensions(), SMALL);
+
+    tmp<volScalarField> tr =
+        min(nur/(max(magGradU, eps)*sqr(this->kappa_*this->y_)), scalar(10));
+
+    tr.ref().boundaryFieldRef() == 0;
+
+    return tr;
+}
+
+
+template<class BasicTurbulenceModel>
+tmp<volScalarField> kOmegaSSTDES<BasicTurbulenceModel>::S2
+(
+    const volScalarField& F1,
+    const volTensorField& gradU
+) const
+{
+    tmp<volScalarField> tS2 =
+        kOmegaSSTBase<DESModel<BasicTurbulenceModel>>::S2(F1, gradU);
+
+    if (this->useSigma_)
+    {
+        volScalarField& S2 = tS2.ref();
+        const volScalarField CDES(this->CDES(F1));
+        const volScalarField dTilda(this->dTilda(mag(gradU), CDES));
+        const volScalarField lengthScaleRAS(this->lengthScaleRAS());
+        const volScalarField Ssigma(this->Ssigma(gradU));
+
+        S2 =
+            pos(dTilda - lengthScaleRAS)*S2
+          + (scalar(1) - pos(dTilda - lengthScaleRAS))*sqr(Ssigma);
+    }
+
+    return tS2;
+}
+
+
 template<class BasicTurbulenceModel>
 tmp<volScalarField> kOmegaSSTDES<BasicTurbulenceModel>::dTilda
 (
@@ -62,10 +108,7 @@ tmp<volScalarField> kOmegaSSTDES<BasicTurbulenceModel>::dTilda
     const volScalarField& CDES
 ) const
 {
-    const volScalarField& k = this->k_;
+    return min(lengthScaleLES(CDES), lengthScaleRAS());
-    const volScalarField& omega = this->omega_;
-
-    return min(CDES*this->delta(), sqrt(k)/(this->betaStar_*omega));
 }
 
 
@@ -81,6 +124,24 @@ tmp<volScalarField::Internal> kOmegaSSTDES<BasicTurbulenceModel>::epsilonByk
 }
 
 
+template<class BasicTurbulenceModel>
+tmp<volScalarField::Internal> kOmegaSSTDES<BasicTurbulenceModel>::GbyNu0
+(
+    const volTensorField& gradU,
+    const volScalarField& F1,
+    const volScalarField& S2
+) const
+{
+    if (this->useSigma_)
+    {
+        return S2();
+    }
+
+    return
+        kOmegaSSTBase<DESModel<BasicTurbulenceModel>>::GbyNu0(gradU, F1, S2);
+}
+
+
 template<class BasicTurbulenceModel>
 tmp<volScalarField::Internal> kOmegaSSTDES<BasicTurbulenceModel>::GbyNu
 (
@@ -120,6 +181,15 @@ kOmegaSSTDES<BasicTurbulenceModel>::kOmegaSSTDES
         propertiesName
     ),
 
+    useSigma_
+    (
+        Switch::getOrAddToDict
+        (
+            "useSigma",
+            this->coeffDict_,
+            false
+        )
+    ),
     kappa_
     (
         dimensioned<scalar>::getOrAddToDict
@@ -148,8 +218,17 @@ kOmegaSSTDES<BasicTurbulenceModel>::kOmegaSSTDES
         )
     )
 {
+    // Note: Ctrans coeff is model specific; for k-w = 60
+    this->Ctrans_ =
+        dimensioned<scalar>::getOrAddToDict("Ctrans", this->coeffDict_, 60.0);
+
     if (type == typeName)
     {
+        WarningInFunction
+            << "This model is not recommended and will be deprecated in future "
+            << "releases. Please consider using the DDES/IDDES versions instead"
+            << endl;
+
         this->printCoeffs(type);
     }
 }
@@ -162,6 +241,7 @@ bool kOmegaSSTDES<BasicTurbulenceModel>::read()
 {
     if (kOmegaSSTBase<DESModel<BasicTurbulenceModel>>::read())
     {
+        useSigma_.readIfPresent("useSigma", this->coeffDict());
         kappa_.readIfPresent(this->coeffDict());
         CDESkom_.readIfPresent(this->coeffDict());
         CDESkeps_.readIfPresent(this->coeffDict());
@@ -173,6 +253,28 @@ bool kOmegaSSTDES<BasicTurbulenceModel>::read()
 }
 
 
+template<class BasicTurbulenceModel>
+Foam::tmp<Foam::volScalarField>
+kOmegaSSTDES<BasicTurbulenceModel>::lengthScaleRAS() const
+{
+    const volScalarField& k = this->k_;
+    const volScalarField& omega = this->omega_;
+
+    return sqrt(k)/(this->betaStar_*omega);
+}
+
+
+template<class BasicTurbulenceModel>
+Foam::tmp<Foam::volScalarField>
+kOmegaSSTDES<BasicTurbulenceModel>::lengthScaleLES
+(
+    const volScalarField& CDES
+) const
+{
+    return CDES*this->delta();
+}
+
+
 template<class BasicTurbulenceModel>
 tmp<volScalarField> kOmegaSSTDES<BasicTurbulenceModel>::LESRegion() const
 {
@@ -187,31 +289,11 @@ tmp<volScalarField> kOmegaSSTDES<BasicTurbulenceModel>::LESRegion() const
 
     const volScalarField F1(this->F1(CDkOmega));
 
-    tmp<volScalarField> tLESRegion
+    return tmp<volScalarField>::New
     (
-        new volScalarField
+        IOobject::scopedName("DES", "LESRegion"),
-        (
+        neg(dTilda(mag(fvc::grad(U)), CDES(F1)) - lengthScaleRAS())
-            IOobject
-            (
-                "DES::LESRegion",
-                this->mesh_.time().timeName(),
-                this->mesh_,
-                IOobject::NO_READ,
-                IOobject::NO_WRITE
-            ),
-            neg
-            (
-                dTilda
-                (
-                    mag(fvc::grad(U)),
-                    F1*CDESkom_ + (1 - F1)*CDESkeps_
-                )
-              - sqrt(k)/(this->betaStar_*omega)
-            )
-        )
     );
-
-    return tLESRegion;
 }
 
 

src/TurbulenceModels/turbulenceModels/DES/kOmegaSSTDES/kOmegaSSTDES.H

@@ -31,13 +31,13 @@ Group
     grpDESTurbulence
 
 Description
-    k-omega-SST DES turbulence model for incompressible and compressible flows
+    k-omega-SST DES turbulence model for incompressible and compressible flows.
 
     Reference:
     \verbatim
-        Strelets, M. (2001)
+        Strelets, M. (2001).
-        Detached Eddy Simulation of Massively Separated Flows,
+        Detached Eddy Simulation of Massively Separated Flows.
-        39th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV
+        39th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV.
     \endverbatim
 
 Note
@@ -51,8 +51,8 @@ SourceFiles
 
 \*---------------------------------------------------------------------------*/
 
-#ifndef kOmegaSSTDES_H
+#ifndef Foam_kOmegaSSTDES_H
-#define kOmegaSSTDES_H
+#define Foam_kOmegaSSTDES_H
 
 #include "DESModel.H"
 #include "kOmegaSSTBase.H"
@@ -65,7 +65,7 @@ namespace LESModels
 {
 
 /*---------------------------------------------------------------------------*\
-                        class kOmegaSSTDES Declaration
+                        Class kOmegaSSTDES Declaration
 \*---------------------------------------------------------------------------*/
 
 template<class BasicTurbulenceModel>
@@ -84,11 +84,16 @@ class kOmegaSSTDES
 
 protected:
 
-    // Protected data
+    // Protected Data
+
+        //- Switch to activate grey-area enhanced sigma-(D)DES
+        Switch useSigma_;
 
         // Model coefficients
 
             dimensionedScalar kappa_;
+
+            //- DES coefficients
             dimensionedScalar CDESkom_;
             dimensionedScalar CDESkeps_;
 
@@ -104,7 +109,20 @@ protected:
         virtual void correctNut(const volScalarField& S2);
         virtual void correctNut();
 
-        //- Length scale
+        tmp<volScalarField> r
+        (
+            const volScalarField& nur,
+            const volScalarField& magGradU
+        ) const;
+
+        //- Return square of strain rate
+        virtual tmp<volScalarField> S2
+        (
+            const volScalarField& F1,
+            const volTensorField& gradU
+        ) const;
+
+        //- Return length scale
         virtual tmp<volScalarField> dTilda
         (
             const volScalarField& magGradU,
@@ -118,6 +136,14 @@ protected:
             const volTensorField& gradU
         ) const;
 
+        //- Return (G/nu)_0
+        virtual tmp<volScalarField::Internal> GbyNu0
+        (
+            const volTensorField& gradU,
+            const volScalarField& F1,
+            const volScalarField& S2
+        ) const;
+
         //- Return G/nu
         virtual tmp<volScalarField::Internal> GbyNu
         (
@@ -163,6 +189,15 @@ public:
         //- Re-read model coefficients if they have changed
         virtual bool read();
 
+        //- RAS length scale
+        virtual tmp<volScalarField> lengthScaleRAS() const;
+
+        //- LES length scale
+        virtual tmp<volScalarField> lengthScaleLES
+        (
+            const volScalarField& CDES
+        ) const;
+
         //- Return the LES field indicator
         virtual tmp<volScalarField> LESRegion() const;
 };

src/TurbulenceModels/turbulenceModels/DES/kOmegaSSTIDDES/kOmegaSSTIDDES.C

@@ -6,7 +6,7 @@
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
     Copyright (C) 2015 OpenFOAM Foundation
-    Copyright (C) 2015-2020 OpenCFD Ltd.
+    Copyright (C) 2015-2022 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -64,7 +64,7 @@ tmp<volScalarField> kOmegaSSTIDDES<BasicTurbulenceModel>::ft
     const volScalarField& magGradU
 ) const
 {
-    return tanh(pow3(sqr(Ct_)*rd(this->nut_, magGradU)));
+    return tanh(pow3(sqr(Ct_)*this->r(this->nut_, magGradU)));
 }
 
 
@@ -74,51 +74,22 @@ tmp<volScalarField> kOmegaSSTIDDES<BasicTurbulenceModel>::fl
     const volScalarField& magGradU
 ) const
 {
-    return tanh(pow(sqr(Cl_)*rd(this->nu(), magGradU), 10));
+    return tanh(pow(sqr(Cl_)*this->r(this->nu(), magGradU), 10));
 }
 
 
-template<class BasicTurbulenceModel>
-tmp<volScalarField> kOmegaSSTIDDES<BasicTurbulenceModel>::rd
-(
-    const volScalarField& nur,
-    const volScalarField& magGradU
-) const
-{
-    tmp<volScalarField> tr
-    (
-        min
-        (
-            nur
-           /(
-                max
-                (
-                    magGradU,
-                    dimensionedScalar("SMALL", magGradU.dimensions(), SMALL)
-                )
-                *sqr(this->kappa_*this->y_)
-            ),
-            scalar(10)
-        )
-    );
-    tr.ref().boundaryFieldRef() == 0.0;
-
-    return tr;
-}
-
-
-// * * * * * * * * * * * * Protected Member Functions  * * * * * * * * * * * //
-
 template<class BasicTurbulenceModel>
 tmp<volScalarField> kOmegaSSTIDDES<BasicTurbulenceModel>::fdt
 (
     const volScalarField& magGradU
 ) const
 {
-    return 1 - tanh(pow(Cdt1_*rd(this->nut_, magGradU), Cdt2_));
+    return 1 - tanh(pow(Cdt1_*this->r(this->nut_, magGradU), Cdt2_));
 }
 
 
+// * * * * * * * * * * * * Protected Member Functions  * * * * * * * * * * * //
+
 template<class BasicTurbulenceModel>
 tmp<volScalarField> kOmegaSSTIDDES<BasicTurbulenceModel>::dTilda
 (
@@ -126,35 +97,35 @@ tmp<volScalarField> kOmegaSSTIDDES<BasicTurbulenceModel>::dTilda
     const volScalarField& CDES
 ) const
 {
-    const volScalarField& k = this->k_;
+    const volScalarField lRAS(this->lengthScaleRAS());
-    const volScalarField& omega = this->omega_;
+    const volScalarField lLES(this->lengthScaleLES(CDES));
-
-    const volScalarField lRAS(sqrt(k)/(this->betaStar_*omega));
-    const volScalarField lLES(CDES*this->delta());
 
     const volScalarField alpha(this->alpha());
     const volScalarField expTerm(exp(sqr(alpha)));
 
     tmp<volScalarField> fB = min(2*pow(expTerm, -9.0), scalar(1));
-    tmp<volScalarField> fe1 =
-        2*(pos0(alpha)*pow(expTerm, -11.09) + neg(alpha)*pow(expTerm, -9.0));
-    tmp<volScalarField> fe2 = 1 - max(ft(magGradU), fl(magGradU));
-    tmp<volScalarField> fe = max(fe1 - 1, scalar(0))*fe2;
-
     const volScalarField fdTilda(max(1 - fdt(magGradU), fB));
 
-    // Simplified formulation from Gritskevich et al. paper (2011) where fe = 0
+    if (fe_)
-    // return max
+    {
-    // (
+        tmp<volScalarField> fe1 =
-    //     fdTilda*lRAS + (1 - fdTilda)*lLES,
+            2*(pos0(alpha)*pow(expTerm, -11.09) + neg(alpha)*pow(expTerm, -9.));
-    //     dimensionedScalar("SMALL", dimLength, SMALL)
+        tmp<volScalarField> fe2 = 1 - max(ft(magGradU), fl(magGradU));
-    // );
+        tmp<volScalarField> fe = max(fe1 - 1, scalar(0))*fe2;
 
         // Original formulation from Shur et al. paper (2008)
         return max
         (
             fdTilda*(1 + fe)*lRAS + (1 - fdTilda)*lLES,
-        dimensionedScalar("SMALL", dimLength, SMALL)
+            dimensionedScalar(dimLength, SMALL)
+        );
+    }
+
+    // Simplified formulation from Gritskevich et al. paper (2011) where fe = 0
+    return max
+    (
+        fdTilda*lRAS + (1 - fdTilda)*lLES,
+        dimensionedScalar(dimLength, SMALL)
     );
 }
 
@@ -222,6 +193,16 @@ kOmegaSSTIDDES<BasicTurbulenceModel>::kOmegaSSTIDDES
             1.87
         )
     ),
+    fe_
+    (
+        Switch::getOrAddToDict
+        (
+            "fe",
+            this->coeffDict_,
+            true
+        )
+    ),
+
     IDDESDelta_(setDelta())
 {
     if (type == typeName)
@@ -250,6 +231,17 @@ bool kOmegaSSTIDDES<BasicTurbulenceModel>::read()
 }
 
 
+template<class BasicTurbulenceModel>
+tmp<volScalarField> kOmegaSSTIDDES<BasicTurbulenceModel>::fd() const
+{
+    const volScalarField alpha(this->alpha());
+    const volScalarField expTerm(exp(sqr(alpha)));
+
+    tmp<volScalarField> fB = min(2*pow(expTerm, -9.0), scalar(1));
+    return max(1 - fdt(mag(fvc::grad(this->U_))), fB);
+}
+
+
 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
 } // End namespace LESModels

src/TurbulenceModels/turbulenceModels/DES/kOmegaSSTIDDES/kOmegaSSTIDDES.H

@@ -6,7 +6,7 @@
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
     Copyright (C) 2015 OpenFOAM Foundation
-    Copyright (C) 2019 OpenCFD Ltd.
+    Copyright (C) 2019-2022 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -31,15 +31,17 @@ Group
     grpDESTurbulence
 
 Description
-    k-omega-SST IDDES turbulence model for incompressible and compressible
+    k-omega-SST IDDES turbulence model for
-    flows
+    incompressible and compressible flows.
 
     Reference:
     \verbatim
-        Gritskevich, M.S., Garbaruk, A.V., Schuetze, J., Menter, F.R. (2011)
+        Gritskevich, M. S., Garbaruk, A. V.,
-        Development of DDES and IDDES Formulations for the k-omega
+        Schütze, J., & Menter, F. R. (2012).
-        Shear Stress Transport Model, Flow, Turbulence and Combustion,
+        Development of DDES and IDDES formulations for
-        pp. 1-19
+        the k-ω shear stress transport model.
+        Flow, turbulence and combustion, 88(3), 431-449.
+        DOI:10.1007/s10494-011-9378-4
     \endverbatim
 
 SourceFiles
@@ -47,8 +49,8 @@ SourceFiles
 
 \*---------------------------------------------------------------------------*/
 
-#ifndef kOmegaSSTIDDES_H
+#ifndef Foam_kOmegaSSTIDDES_H
-#define kOmegaSSTIDDES_H
+#define Foam_kOmegaSSTIDDES_H
 
 #include "kOmegaSSTDES.H"
 
@@ -77,12 +79,6 @@ class kOmegaSSTIDDES
         tmp<volScalarField> ft(const volScalarField& magGradU) const;
         tmp<volScalarField> fl(const volScalarField& magGradU) const;
 
-        tmp<volScalarField> rd
-        (
-            const volScalarField& nur,
-            const volScalarField& magGradU
-        ) const;
-
         //- Delay function
         tmp<volScalarField> fdt(const volScalarField& magGradU) const;
 
@@ -95,7 +91,7 @@ class kOmegaSSTIDDES
 
 protected:
 
-    // Protected data
+    // Protected Data
 
         // Model coefficients
 
@@ -103,14 +99,16 @@ protected:
             dimensionedScalar Cdt2_;
             dimensionedScalar Cl_;
             dimensionedScalar Ct_;
+            Switch fe_;
 
-        // Fields
 
+        //- IDDES delta
         const IDDESDelta& IDDESDelta_;
 
+
     // Protected Member Functions
 
-        //- Length scale
+        //- Return the length scale
         virtual tmp<volScalarField> dTilda
         (
             const volScalarField& magGradU,
@@ -153,6 +151,9 @@ public:
 
         //- Re-read model coefficients if they have changed
         virtual bool read();
+
+        //- Return the shielding function
+        virtual tmp<volScalarField> fd() const;
 };
 
 

src/TurbulenceModels/turbulenceModels/LES/LESdeltas/DeltaOmegaTildeDelta/DeltaOmegaTildeDelta.C

@@ -0,0 +1,196 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | www.openfoam.com
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+    Copyright (C) 2022 Upstream CFD GmbH
+    Copyright (C) 2022 OpenCFD Ltd.
+-------------------------------------------------------------------------------
+License
+    This file is part of OpenFOAM.
+
+    OpenFOAM is free software: you can redistribute it and/or modify it
+    under the terms of the GNU General Public License as published by
+    the Free Software Foundation, either version 3 of the License, or
+    (at your option) any later version.
+
+    OpenFOAM is distributed in the hope that it will be useful, but WITHOUT
+    ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+    FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+    for more details.
+
+    You should have received a copy of the GNU General Public License
+    along with OpenFOAM.  If not, see <http://www.gnu.org/licenses/>.
+
+\*---------------------------------------------------------------------------*/
+
+#include "DeltaOmegaTildeDelta.H"
+#include "fvcCurl.H"
+#include "maxDeltaxyz.H"
+#include "addToRunTimeSelectionTable.H"
+
+// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace LESModels
+{
+    defineTypeNameAndDebug(DeltaOmegaTildeDelta, 0);
+    addToRunTimeSelectionTable(LESdelta, DeltaOmegaTildeDelta, dictionary);
+}
+}
+
+
+// * * * * * * * * * * * * * Private Member Functions  * * * * * * * * * * * //
+
+void Foam::LESModels::DeltaOmegaTildeDelta::calcDelta()
+{
+    const fvMesh& mesh = turbulenceModel_.mesh();
+
+    const volVectorField& U0 = turbulenceModel_.U();
+    tmp<volVectorField> tvorticity = fvc::curl(U0);
+    const volVectorField& vorticity = tvorticity.cref();
+    const volVectorField nvecvort
+    (
+        vorticity
+      / (
+            max
+            (
+                mag(vorticity),
+                dimensionedScalar(dimless/dimTime, SMALL)
+            )
+        )
+    );
+    tvorticity.clear();
+
+    const cellList& cells = mesh.cells();
+    const vectorField& cellCentres = mesh.cellCentres();
+    const vectorField& faceCentres = mesh.faceCentres();
+
+    forAll(cells, celli)
+    {
+        const labelList& cFaces = cells[celli];
+        const point& cc = cellCentres[celli];
+        const vector& nv = nvecvort[celli];
+
+        scalar deltaMaxTmp = 0;
+
+        for (const label facei : cFaces)
+        {
+            const point& fc = faceCentres[facei];
+            const scalar tmp = 2.0*mag(nv ^ (fc - cc));
+
+            if (tmp > deltaMaxTmp)
+            {
+                deltaMaxTmp = tmp;
+            }
+        }
+
+        delta_[celli] = deltaCoeff_*deltaMaxTmp;
+    }
+
+    const label nD = mesh.nGeometricD();
+
+    if (nD == 2)
+    {
+        WarningInFunction
+            << "Case is 2D, LES is not strictly applicable" << nl
+            << endl;
+    }
+    else if (nD != 3)
+    {
+        FatalErrorInFunction
+            << "Case must be either 2D or 3D" << exit(FatalError);
+    }
+
+    // Handle coupled boundaries
+    delta_.correctBoundaryConditions();
+}
+
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+Foam::LESModels::DeltaOmegaTildeDelta::DeltaOmegaTildeDelta
+(
+    const word& name,
+    const turbulenceModel& turbulence,
+    const dictionary& dict
+)
+:
+    LESdelta(name, turbulence),
+    hmaxPtr_(nullptr),
+    deltaCoeff_
+    (
+        dict.optionalSubDict(type() + "Coeffs").getOrDefault<scalar>
+        (
+            "deltaCoeff",
+            1.035
+        )
+    ),
+    requireUpdate_
+    (
+        dict.optionalSubDict(type() + "Coeffs").getOrDefault<bool>
+        (
+            "requireUpdate",
+            true
+        )
+    )
+{
+    if (dict.optionalSubDict(type() + "Coeffs").found("hmax"))
+    {
+        // User-defined hmax
+        hmaxPtr_ =
+            LESdelta::New
+            (
+                IOobject::groupName("hmax", turbulence.U().group()),
+                turbulence,
+                dict.optionalSubDict("hmaxCoeffs"),
+                "hmax"
+            );
+    }
+    else
+    {
+        Info<< "Employing " << maxDeltaxyz::typeName << " for hmax" << endl;
+
+        hmaxPtr_.reset
+        (
+            new maxDeltaxyz
+            (
+                IOobject::groupName("hmax", turbulence.U().group()),
+                turbulence,
+                dict.optionalSubDict("hmaxCoeffs")
+            )
+        );
+    }
+
+    calcDelta();
+}
+
+
+// * * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * //
+
+void Foam::LESModels::DeltaOmegaTildeDelta::read(const dictionary& dict)
+{
+    const dictionary& coeffsDict = dict.optionalSubDict(type() + "Coeffs");
+
+    coeffsDict.readIfPresent<scalar>("deltaCoeff", deltaCoeff_);
+    coeffsDict.readIfPresent<bool>("requireUpdate", requireUpdate_);
+
+    calcDelta();
+}
+
+
+void Foam::LESModels::DeltaOmegaTildeDelta::correct()
+{
+    if (turbulenceModel_.mesh().changing() && requireUpdate_)
+    {
+        hmaxPtr_->correct();
+    }
+
+    calcDelta();
+}
+
+
+// ************************************************************************* //

src/TurbulenceModels/turbulenceModels/LES/LESdeltas/DeltaOmegaTildeDelta/DeltaOmegaTildeDelta.H

@@ -0,0 +1,142 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | www.openfoam.com
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+    Copyright (C) 2022 Upstream CFD GmbH
+    Copyright (C) 2022 OpenCFD Ltd.
+-------------------------------------------------------------------------------
+License
+    This file is part of OpenFOAM.
+
+    OpenFOAM is free software: you can redistribute it and/or modify it
+    under the terms of the GNU General Public License as published by
+    the Free Software Foundation, either version 3 of the License, or
+    (at your option) any later version.
+
+    OpenFOAM is distributed in the hope that it will be useful, but WITHOUT
+    ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+    FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+    for more details.
+
+    You should have received a copy of the GNU General Public License
+    along with OpenFOAM.  If not, see <http://www.gnu.org/licenses/>.
+
+Class
+    Foam::LESModels::DeltaOmegaTildeDelta
+
+Description
+    Delta formulation that accounts for the orientation of the vorticity
+    vector. In "2D-regions" (i.e. xy-plane), delta is of the order
+    max(delta_x,delta_y), so that the influence of delta_z is discarded.
+    This can help to accelerate the transition from RANS to LES in hybrid
+    RANS/LES simulations.
+
+    Reference:
+    \verbatim
+        Shur, M. L., Spalart, P. R., Strelets, M. K., & Travin, A. K. (2015).
+        An enhanced version of DES with rapid transition
+        from RANS to LES in separated flows.
+        Flow, turbulence and combustion, 95(4), 709-737.
+        DOI:10.1007/s10494-015-9618-0
+    \endverbatim
+
+SourceFiles
+    DeltaOmegaTildeDelta.C
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef LESModels_DeltaOmegaTildeDelta_H
+#define LESModels_DeltaOmegaTildeDelta_H
+
+#include "LESdelta.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace LESModels
+{
+
+/*---------------------------------------------------------------------------*\
+                    Class DeltaOmegaTildeDelta Declaration
+\*---------------------------------------------------------------------------*/
+
+class DeltaOmegaTildeDelta
+:
+    public LESdelta
+{
+    // Private Data
+
+        //- Run-time selectable delta for hmax
+        //  Defaults to the maxDeltaxyz model if not supplied
+        autoPtr<LESdelta> hmaxPtr_;
+
+        //- Model coefficient
+        scalar deltaCoeff_;
+
+        //- Flag to indicate whether hmax requires updating
+        bool requireUpdate_;
+
+
+    // Private Member Functions
+
+        //- Calculate the delta values
+        void calcDelta();
+
+        //- No copy construct
+        DeltaOmegaTildeDelta(const DeltaOmegaTildeDelta&) = delete;
+
+        //- No copy assignment
+        void operator=(const DeltaOmegaTildeDelta&) = delete;
+
+
+public:
+
+    //- Runtime type information
+    TypeName("DeltaOmegaTilde");
+
+
+    // Constructors
+
+        //- Construct from name, turbulenceModel and dictionary
+        DeltaOmegaTildeDelta
+        (
+            const word& name,
+            const turbulenceModel& turbulence,
+            const dictionary&
+        );
+
+
+    //- Destructor
+    virtual ~DeltaOmegaTildeDelta() = default;
+
+
+    // Member Functions
+
+        //- Read the LESdelta dictionary
+        virtual void read(const dictionary&);
+
+        //- Return the hmax delta field
+        const volScalarField& hmax() const
+        {
+            return hmaxPtr_();
+        }
+
+        // Correct values
+        void correct();
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace LESModels
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //

src/TurbulenceModels/turbulenceModels/LES/LESdeltas/SLADelta/SLADelta.C

@@ -0,0 +1,412 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | www.openfoam.com
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+    Copyright (C) 2022 Upstream CFD GmbH
+    Copyright (C) 2022 OpenCFD Ltd.
+-------------------------------------------------------------------------------
+License
+    This file is part of OpenFOAM.
+
+    OpenFOAM is free software: you can redistribute it and/or modify it
+    under the terms of the GNU General Public License as published by
+    the Free Software Foundation, either version 3 of the License, or
+    (at your option) any later version.
+
+    OpenFOAM is distributed in the hope that it will be useful, but WITHOUT
+    ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+    FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+    for more details.
+
+    You should have received a copy of the GNU General Public License
+    along with OpenFOAM.  If not, see <http://www.gnu.org/licenses/>.
+
+\*---------------------------------------------------------------------------*/
+
+#include "SLADelta.H"
+#include "wallDist.H"
+#include "maxDeltaxyz.H"
+#include "fvcGrad.H"
+#include "fvcCurl.H"
+#include "addToRunTimeSelectionTable.H"
+
+#include "oneField.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+
+template<class Type, class WeightType = oneField>
+tmp<scalarField> sumNeighbours
+(
+    const GeometricField<Type, fvPatchField, volMesh>& field,
+    GeometricField<Type, fvPatchField, volMesh>& result,
+    const WeightType& weights = oneField()
+)
+{
+    const fvMesh& mesh = field.mesh();
+
+    result == dimensioned<Type>(field.dimensions(), Zero);
+
+    auto tscaling = tmp<scalarField>::New(mesh.nCells(), Zero);
+    auto& scaling = tscaling.ref();
+
+    const auto& faceNeighbour = mesh.faceNeighbour();
+    const auto& faceOwner = mesh.faceOwner();
+
+    forAll(faceNeighbour, i)
+    {
+        const label own = faceOwner[i];
+        const label nbr = faceNeighbour[i];
+
+        result[own] += field[nbr];
+        result[nbr] += field[own];
+
+        scaling[own] = scaling[own] + weights[nbr];
+        scaling[nbr] = scaling[nbr] + weights[own];
+    }
+
+    const auto& pbm = mesh.boundaryMesh();
+
+    for (const polyPatch& pp : pbm)
+    {
+        const auto& pf = field.boundaryField()[pp.index()];
+        const labelUList& faceCells = pp.faceCells();
+
+        if (pf.coupled())
+        {
+            const scalarField nbrField(pf.patchNeighbourField());
+
+            forAll(faceCells, facei)
+            {
+                const label celli = faceCells[facei];
+                result[celli] += nbrField[facei];
+                scaling[celli] = scaling[celli] + weights[celli];
+            }
+        }
+    }
+
+    return tscaling;
+}
+
+} // End namespace Foam
+
+
+// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace LESModels
+{
+    defineTypeNameAndDebug(SLADelta, 0);
+    addToRunTimeSelectionTable(LESdelta, SLADelta, dictionary);
+}
+}
+
+
+// * * * * * * * * * * * * * Private Member Functions  * * * * * * * * * * * //
+
+void Foam::LESModels::SLADelta::calcDelta()
+{
+    const fvMesh& mesh = turbulenceModel_.mesh();
+
+    tmp<volScalarField> tnut = turbulenceModel_.nut();
+    const volScalarField& nut = tnut.cref();
+
+    tmp<volScalarField> tnu = turbulenceModel_.nu();
+    const volScalarField& nu = tnu.cref();
+
+    // Calculate vortex tilting measure, VTM
+    const volVectorField& U0 = turbulenceModel_.U();
+
+    tmp<volVectorField> tvorticity = fvc::curl(U0);
+    const volVectorField& vorticity = tvorticity.cref();
+
+    tmp<volSymmTensorField> tS = symm(fvc::grad(U0));
+    const volSymmTensorField& S = tS.cref();
+
+    const dimensionedScalar nuMin(nu.dimensions(), SMALL);
+    const dimensionedScalar eps(dimless/pow3(dimTime), SMALL);
+
+    volScalarField vtm
+    (
+        max(scalar(1), 0.2*nu/max(nut, nuMin))
+       *sqrt(6.0)*mag((S & vorticity)^vorticity)
+       /max(magSqr(vorticity)*sqrt(3*magSqr(S) - sqr(tr(S))), eps)
+    );
+    vtm.correctBoundaryConditions();
+    tS.clear();
+
+    const dimensionedScalar vortMin(dimless/dimTime, SMALL);
+    const volVectorField nVecVort(vorticity/(max(mag(vorticity), vortMin)));
+    tvorticity.clear();
+
+
+    // Calculate averaged VTM
+    volScalarField vtmAve("vtmAve", vtm);
+    tmp<scalarField> tweights = sumNeighbours(vtm, vtmAve);
+
+    // Add cell centre values
+    vtmAve += vtm;
+
+    // Weights normalisation (add 1 for cell centres)
+    vtmAve.primitiveFieldRef() /= tweights + 1;
+
+
+    // Calculate DDES shielding function, fd
+    const volScalarField& y = wallDist::New(mesh).y();
+
+    const dimensionedScalar magGradUeps(dimless/dimTime, SMALL);
+    const dimensionedScalar nuEps(nu.dimensions(), ROOTSMALL);
+
+    tmp<volScalarField> tmagGradU = mag(fvc::grad(U0));
+
+    tmp<volScalarField> trd =
+        min
+        (
+            (nut + nu)/(max(tmagGradU, magGradUeps)*sqr(kappa_*y) + nuEps),
+            scalar(10)
+        );
+    tnut.clear();
+    tnu.clear();
+
+    const volScalarField fd(1.0 - tanh(pow(Cd1_*trd, Cd2_)));
+
+
+    // Assemble delta
+    const cellList& cells = mesh.cells();
+    const vectorField& cellCentres = mesh.cellCentres();
+    const vectorField& faceCentres = mesh.faceCentres();
+
+    forAll(cells, celli)
+    {
+        const labelList& cFaces = cells[celli];
+        const point& cc = cellCentres[celli];
+        const vector& nv = nVecVort[celli];
+
+        scalar deltaMaxTmp = 0;
+
+        for (const label facei : cFaces)
+        {
+            const point& fc = faceCentres[facei];
+            const scalar tmp = 2.0*mag(nv ^ (fc - cc));
+
+            if (tmp > deltaMaxTmp)
+            {
+                deltaMaxTmp = tmp;
+            }
+        }
+
+        scalar FKH =
+            max
+            (
+                FKHmin_,
+                min
+                (
+                    FKHmax_,
+                    FKHmin_
+                  + (FKHmax_ - FKHmin_)*(vtmAve[celli] - a1_)/(a2_ - a1_)
+                )
+            );
+
+        if ((shielding_ == true) && (fd[celli] < (1.0 - epsilon_)))
+        {
+            FKH = 1;
+        }
+
+        delta_[celli] = deltaCoeff_*deltaMaxTmp*FKH;
+    }
+
+    const label nD = mesh.nGeometricD();
+
+    if (nD == 2)
+    {
+        WarningInFunction
+            << "Case is 2D, LES is not strictly applicable" << nl
+            << endl;
+    }
+    else if (nD != 3)
+    {
+        FatalErrorInFunction
+            << "Case must be either 2D or 3D" << exit(FatalError);
+    }
+
+    // Handle coupled boundaries
+    delta_.correctBoundaryConditions();
+}
+
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+Foam::LESModels::SLADelta::SLADelta
+(
+    const word& name,
+    const turbulenceModel& turbulence,
+    const dictionary& dict
+)
+:
+    LESdelta(name, turbulence),
+    hmaxPtr_(nullptr),
+    deltaCoeff_
+    (
+        dict.optionalSubDict(type() + "Coeffs").getOrDefault<scalar>
+        (
+            "deltaCoeff",
+            1.035
+        )
+    ),
+    requireUpdate_
+    (
+        dict.optionalSubDict(type() + "Coeffs").getOrDefault<bool>
+        (
+            "requireUpdate",
+            true
+        )
+    ),
+    shielding_
+    (
+        dict.optionalSubDict(type() + "Coeffs").getOrDefault<bool>
+        (
+            "shielding",
+            true
+        )
+    ),
+    FKHmin_
+    (
+        dict.optionalSubDict(type() + "Coeffs").getOrDefault<scalar>
+        (
+            "FKHmin",
+            0.1
+        )
+    ),
+    FKHmax_
+    (
+        dict.optionalSubDict(type() + "Coeffs").getOrDefault<scalar>
+        (
+            "FKHmax",
+            1.0
+        )
+    ),
+    a1_
+    (
+        dict.optionalSubDict(type() + "Coeffs").getOrDefault<scalar>
+        (
+            "a1",
+            0.15
+        )
+    ),
+    a2_
+    (
+        dict.optionalSubDict(type() + "Coeffs").getOrDefault<scalar>
+        (
+            "a2",
+            0.30
+        )
+    ),
+    epsilon_
+    (
+        dict.optionalSubDict(type() + "Coeffs").getOrDefault<scalar>
+        (
+            "epsilon",
+            0.01
+        )
+    ),
+    kappa_
+    (
+        dict.optionalSubDict(type() + "Coeffs").getOrDefault<scalar>
+        (
+            "kappa",
+            0.41
+        )
+    ),
+    Cd1_
+    (
+        dict.optionalSubDict(type() + "Coeffs").getOrDefault<scalar>
+        (
+            "Cd1",
+            20
+        )
+    ),
+    Cd2_
+    (
+        dict.optionalSubDict(type() + "Coeffs").getOrDefault<scalar>
+        (
+            "Cd2",
+            3
+        )
+    )
+{
+    if (dict.optionalSubDict(type() + "Coeffs").found("hmax"))
+    {
+        // User-defined hmax
+        hmaxPtr_ =
+            LESdelta::New
+            (
+                IOobject::groupName("hmax", turbulence.U().group()),
+                turbulence,
+                dict.optionalSubDict("hmaxCoeffs"),
+                "hmax"
+            );
+    }
+    else
+    {
+        Info<< "Employing " << maxDeltaxyz::typeName << " for hmax" << endl;
+
+        hmaxPtr_.reset
+        (
+            new maxDeltaxyz
+            (
+                IOobject::groupName("hmax", turbulence.U().group()),
+                turbulence,
+                dict.optionalSubDict("hmaxCoeffs")
+            )
+        );
+    }
+
+    if (mag(a2_ - a1_) < SMALL)
+    {
+        FatalIOErrorInFunction(dict)
+            << "Model coefficients a1 = " << a1_
+            << ", and a2 = " << a2_ << " cannot be equal."
+            << abort(FatalIOError);
+    }
+}
+
+
+// * * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * //
+
+void Foam::LESModels::SLADelta::read(const dictionary& dict)
+{
+    const dictionary& coeffsDict(dict.optionalSubDict(type() + "Coeffs"));
+
+    coeffsDict.readIfPresent<scalar>("deltaCoeff", deltaCoeff_);
+    coeffsDict.readIfPresent<bool>("requireUpdate", requireUpdate_);
+    coeffsDict.readIfPresent<scalar>("FKHmin", FKHmin_);
+    coeffsDict.readIfPresent<scalar>("FKHmax", FKHmax_);
+    coeffsDict.readIfPresent<scalar>("a1", a1_);
+    coeffsDict.readIfPresent<scalar>("a2", a2_);
+    coeffsDict.readIfPresent<scalar>("epsilon", epsilon_);
+    coeffsDict.readIfPresent<scalar>("kappa", kappa_);
+    coeffsDict.readIfPresent<scalar>("Cd1", Cd1_);
+    coeffsDict.readIfPresent<scalar>("Cd2", Cd2_);
+
+    calcDelta();
+}
+
+
+void Foam::LESModels::SLADelta::correct()
+{
+    if (turbulenceModel_.mesh().changing() && requireUpdate_)
+    {
+        hmaxPtr_->correct();
+    }
+
+    calcDelta();
+}
+
+
+// ************************************************************************* //

src/TurbulenceModels/turbulenceModels/LES/LESdeltas/SLADelta/SLADelta.H

@@ -0,0 +1,149 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | www.openfoam.com
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+    Copyright (C) 2022 Upstream CFD GmbH
+    Copyright (C) 2022 OpenCFD Ltd.
+-------------------------------------------------------------------------------
+License
+    This file is part of OpenFOAM.
+
+    OpenFOAM is free software: you can redistribute it and/or modify it
+    under the terms of the GNU General Public License as published by
+    the Free Software Foundation, either version 3 of the License, or
+    (at your option) any later version.
+
+    OpenFOAM is distributed in the hope that it will be useful, but WITHOUT
+    ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+    FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+    for more details.
+
+    You should have received a copy of the GNU General Public License
+    along with OpenFOAM.  If not, see <http://www.gnu.org/licenses/>.
+
+Class
+    Foam::LESModels::SLADelta
+
+Description
+    Delta formulation that accounts for the orientation of the vorticity vector
+    and a flow-sensitised function to detect 2D flow regions. Delta value is
+    strongly reduced in these regions to accelerate the transition from RANS
+    to LES in hybrid RANS/LES simulations.
+
+    Reference:
+    \verbatim
+        Shur, M. L., Spalart, P. R., Strelets, M. K., & Travin, A. K. (2015).
+        An enhanced version of DES with rapid transition
+        from RANS to LES in separated flows.
+        Flow, turbulence and combustion, 95(4), 709-737.
+        DOI:10.1007/s10494-015-9618-0
+    \endverbatim
+
+SourceFiles
+    SLADelta.C
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef LESModels_SLADelta_H
+#define LESModels_SLADelta_H
+
+#include "LESdelta.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace LESModels
+{
+
+/*---------------------------------------------------------------------------*\
+                          Class SLADelta Declaration
+\*---------------------------------------------------------------------------*/
+
+class SLADelta
+:
+    public LESdelta
+{
+    // Private Data
+
+        //- Run-time selectable delta for hmax
+        //  Defaults to the maxDeltaxyz model if not supplied
+        autoPtr<LESdelta> hmaxPtr_;
+
+        // Model coefficients
+
+            scalar deltaCoeff_;
+            bool requireUpdate_;
+            bool shielding_;
+            scalar FKHmin_;
+            scalar FKHmax_;
+            scalar a1_;
+            scalar a2_;
+            scalar epsilon_;
+            scalar kappa_;
+            scalar Cd1_;
+            scalar Cd2_;
+
+
+    // Private Member Functions
+
+        // Calculate the delta values
+        void calcDelta();
+
+        //- No copy construct
+        SLADelta(const SLADelta&) = delete;
+
+        //- No copy assignment
+        void operator=(const SLADelta&) = delete;
+
+
+public:
+
+    //- Runtime type information
+    TypeName("SLADelta");
+
+
+    // Constructors
+
+        //- Construct from name, turbulenceModel and IOdictionary
+        SLADelta
+        (
+            const word& name,
+            const turbulenceModel& turbulence,
+            const dictionary&
+        );
+
+
+    //- Destructor
+    virtual ~SLADelta() = default;
+
+
+    // Member Functions
+
+        //- Read the LESdelta dictionary
+        void read(const dictionary&);
+
+        //- Return the hmax delta field
+        const volScalarField& hmax() const
+        {
+            return hmaxPtr_();
+        }
+
+        // Correct values
+        void correct();
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace LESModels
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //

src/TurbulenceModels/turbulenceModels/LES/sigma/sigma.C

@@ -0,0 +1,173 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | www.openfoam.com
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+    Copyright (C) 2022 Upstream CFD GmbH
+    Copyright (C) 2022 OpenCFD Ltd.
+-------------------------------------------------------------------------------
+License
+    This file is part of OpenFOAM.
+
+    OpenFOAM is free software: you can redistribute it and/or modify it
+    under the terms of the GNU General Public License as published by
+    the Free Software Foundation, either version 3 of the License, or
+    (at your option) any later version.
+
+    OpenFOAM is distributed in the hope that it will be useful, but WITHOUT
+    ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+    FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+    for more details.
+
+    You should have received a copy of the GNU General Public License
+    along with OpenFOAM.  If not, see <http://www.gnu.org/licenses/>.
+
+\*---------------------------------------------------------------------------*/
+
+#include "sigma.H"
+#include "DESModel.H"
+#include "fvOptions.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace LESModels
+{
+
+// * * * * * * * * * * * * Protected Member Functions  * * * * * * * * * * * //
+
+template<class BasicTurbulenceModel>
+void sigma<BasicTurbulenceModel>::correctNut()
+{
+    this->nut_ =
+        sqr(this->delta())
+       *DESModel<BasicTurbulenceModel>::Ssigma(fvc::grad(this->U_), Csigma_);
+    this->nut_.correctBoundaryConditions();
+    fv::options::New(this->mesh_).correct(this->nut_);
+
+    BasicTurbulenceModel::correctNut();
+}
+
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+template<class BasicTurbulenceModel> sigma<BasicTurbulenceModel>::sigma
+(
+    const alphaField& alpha,
+    const rhoField& rho,
+    const volVectorField& U,
+    const surfaceScalarField& alphaRhoPhi,
+    const surfaceScalarField& phi,
+    const transportModel& transport,
+    const word& propertiesName,
+    const word& type
+)
+:
+    LESeddyViscosity<BasicTurbulenceModel>
+    (
+        type,
+        alpha,
+        rho,
+        U,
+        alphaRhoPhi,
+        phi,
+        transport,
+        propertiesName
+    ),
+
+    Ck_
+    (
+        dimensioned<scalar>::lookupOrAddToDict
+        (
+            "Ck",
+            this->coeffDict_,
+            0.094
+        )
+    ),
+
+    Cw_
+    (
+        dimensioned<scalar>::lookupOrAddToDict
+        (
+            "Cw",
+            this->coeffDict_,
+            0.325
+        )
+    ),
+
+    Csigma_
+    (
+        dimensioned<scalar>::lookupOrAddToDict
+        (
+            "Csigma",
+            this->coeffDict_,
+            1.68
+        )
+    )
+{
+    if (type == typeName)
+    {
+        this->printCoeffs(type);
+    }
+}
+
+
+// * * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * //
+
+template<class BasicTurbulenceModel>
+bool sigma<BasicTurbulenceModel>::read()
+{
+    if (LESeddyViscosity<BasicTurbulenceModel>::read())
+    {
+        Ck_.readIfPresent(this->coeffDict());
+        Cw_.readIfPresent(this->coeffDict());
+        Csigma_.readIfPresent(this->coeffDict());
+
+        return true;
+    }
+
+    return false;
+}
+
+
+template<class BasicTurbulenceModel>
+tmp<volScalarField> sigma<BasicTurbulenceModel>::k() const
+{
+    return tmp<volScalarField>::New
+    (
+        IOobject::groupName("k", this->U_.group()),
+        (2.0*Ck_/this->Ce_)
+       *sqr(this->delta())
+       *magSqr(dev(symm(fvc::grad(this->U_))))
+    );
+}
+
+
+template<class BasicTurbulenceModel>
+tmp<volScalarField> sigma<BasicTurbulenceModel>::epsilon() const
+{
+    return tmp<volScalarField>::New
+    (
+        IOobject::groupName("epsilon", this->U_.group()),
+        this->Ce_*k()*sqrt(k())/this->delta()
+    );
+}
+
+
+template<class BasicTurbulenceModel>
+void sigma<BasicTurbulenceModel>::correct()
+{
+    LESeddyViscosity<BasicTurbulenceModel>::correct();
+    correctNut();
+}
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace LESModels
+} // End namespace Foam
+
+// ************************************************************************* //

src/TurbulenceModels/turbulenceModels/LES/sigma/sigma.H

@@ -0,0 +1,173 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | www.openfoam.com
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+    Copyright (C) 2022 Upstream CFD GmbH
+    Copyright (C) 2022 OpenCFD Ltd.
+-------------------------------------------------------------------------------
+License
+    This file is part of OpenFOAM.
+
+    OpenFOAM is free software: you can redistribute it and/or modify it
+    under the terms of the GNU General Public License as published by
+    the Free Software Foundation, either version 3 of the License, or
+    (at your option) any later version.
+
+    OpenFOAM is distributed in the hope that it will be useful, but WITHOUT
+    ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+    FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
+    for more details.
+
+    You should have received a copy of the GNU General Public License
+    along with OpenFOAM.  If not, see <http://www.gnu.org/licenses/>.
+
+Class
+    Foam::LESModels::sigma
+
+Group
+    grpLESTurbulence
+
+Description
+    The sigma SGS model.
+
+    Reference:
+    \verbatim
+        Nicoud, F., Toda, H. B., Cabrit, O., Bose, S., & Lee, J. (2011).
+        Using singular values to build a subgrid-scale
+        model for large eddy simulations.
+        Physics of fluids, 23(8), 085106.
+        DOI:10.1063/1.3623274
+    \endverbatim
+
+    The default model coefficients correspond to the following:
+    \verbatim
+        sigmaCoeffs
+        {
+            ck          0.094;
+            Csigma      1.68;
+        }
+    \endverbatim
+
+Note
+    The default value of the Csigma constant implemented was calibrated for
+    OpenFOAM using decaying isotropic turbulence and is slightly higher than
+    the value suggested in the reference publication.
+
+SourceFiles
+    sigma.C
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef Foam_LESModels_sigma_H
+#define Foam_LESModels_sigma_H
+
+#include "LESModel.H"
+#include "LESeddyViscosity.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace LESModels
+{
+
+/*---------------------------------------------------------------------------*\
+                           Class sigma Declaration
+\*---------------------------------------------------------------------------*/
+
+template<class BasicTurbulenceModel>
+class sigma
+:
+    public LESeddyViscosity<BasicTurbulenceModel>
+{
+    // Private Member Functions
+
+        //- No copy construct
+        sigma(const sigma&) = delete;
+
+        //- No copy assignment
+        void operator=(const sigma&) = delete;
+
+
+protected:
+
+    // Protected Data
+
+        dimensionedScalar Ck_;
+        dimensionedScalar Cw_;
+        dimensionedScalar Csigma_;
+
+
+    // Protected Member Functions
+
+        //- Update the SGS eddy-viscosity
+        virtual void correctNut();
+
+
+public:
+
+    typedef typename BasicTurbulenceModel::alphaField alphaField;
+    typedef typename BasicTurbulenceModel::rhoField rhoField;
+    typedef typename BasicTurbulenceModel::transportModel transportModel;
+
+
+    //- Runtime type information
+    TypeName("sigma");
+
+
+    // Constructors
+
+        //- Construct from components
+        sigma
+        (
+            const alphaField& alpha,
+            const rhoField& rho,
+            const volVectorField& U,
+            const surfaceScalarField& alphaRhoPhi,
+            const surfaceScalarField& phi,
+            const transportModel& transport,
+            const word& propertiesName = turbulenceModel::propertiesName,
+            const word& type = typeName
+        );
+
+
+    //- Destructor
+    virtual ~sigma()
+    {}
+
+
+    // Member Functions
+
+        //- Read model coefficients if they have changed
+        virtual bool read();
+
+        //- Return SGS kinetic energy
+        virtual tmp<volScalarField> k() const;
+
+        //- Return SGS disipation rate
+        virtual tmp<volScalarField> epsilon() const;
+
+        //- Correct Eddy-Viscosity and related properties
+        virtual void correct();
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace LESModels
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#ifdef NoRepository
+    #include "sigma.C"
+#endif
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //

src/TurbulenceModels/turbulenceModels/Make/files

@@ -10,7 +10,8 @@ $(LESdelta)/smoothDelta/smoothDelta.C
 $(LESdelta)/maxDeltaxyz/maxDeltaxyz.C
 $(LESdelta)/IDDESDelta/IDDESDelta.C
 $(LESdelta)/maxDeltaxyzCubeRootLESDelta/maxDeltaxyzCubeRootLESDelta.C
-
+$(LESdelta)/DeltaOmegaTildeDelta/DeltaOmegaTildeDelta.C
+$(LESdelta)/SLADelta/SLADelta.C
 
 LESfilters = LES/LESfilters
 

src/TurbulenceModels/turbulenceModels/RAS/SpalartAllmaras/SpalartAllmaras.C

@@ -27,9 +27,6 @@ License
 \*---------------------------------------------------------------------------*/
 
 #include "SpalartAllmaras.H"
-#include "fvOptions.H"
-#include "bound.H"
-#include "wallDist.H"
 
 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
@@ -41,101 +38,14 @@ namespace RASModels
 // * * * * * * * * * * * * Protected Member Functions  * * * * * * * * * * * //
 
 template<class BasicTurbulenceModel>
-tmp<volScalarField> SpalartAllmaras<BasicTurbulenceModel>::chi() const
+Foam::tmp<Foam::volScalarField> SpalartAllmaras<BasicTurbulenceModel>::dTilda
-{
-    return nuTilda_/this->nu();
-}
-
-
-template<class BasicTurbulenceModel>
-tmp<volScalarField> SpalartAllmaras<BasicTurbulenceModel>::fv1
 (
-    const volScalarField& chi
+    const volScalarField& chi,
+    const volScalarField& fv1,
+    const volTensorField& gradU
 ) const
 {
-    const volScalarField chi3(pow3(chi));
+    return this->y_;
-
-    return chi3/(chi3 + pow3(Cv1_));
-}
-
-
-template<class BasicTurbulenceModel>
-tmp<volScalarField::Internal> SpalartAllmaras<BasicTurbulenceModel>::fv2
-(
-    const volScalarField::Internal& chi,
-    const volScalarField::Internal& fv1
-) const
-{
-    return scalar(1) - chi/(scalar(1) + chi*fv1);
-}
-
-
-template<class BasicTurbulenceModel>
-tmp<volScalarField::Internal> SpalartAllmaras<BasicTurbulenceModel>::Stilda()
-const
-{
-    const volScalarField chi(this->chi());
-
-    const volScalarField fv1(this->fv1(chi));
-
-    const volScalarField::Internal Omega
-    (
-        ::sqrt(scalar(2))*mag(skew(fvc::grad(this->U_)().v()))
-    );
-
-    return
-    (
-        max
-        (
-            Omega + fv2(chi(), fv1())*nuTilda_()/sqr(kappa_*y_),
-            Cs_*Omega
-        )
-    );
-}
-
-
-template<class BasicTurbulenceModel>
-tmp<volScalarField::Internal> SpalartAllmaras<BasicTurbulenceModel>::fw
-(
-    const volScalarField::Internal& Stilda
-) const
-{
-    const volScalarField::Internal r
-    (
-        min
-        (
-            nuTilda_
-           /(
-               max
-               (
-                   Stilda,
-                   dimensionedScalar(Stilda.dimensions(), SMALL)
-               )
-              *sqr(kappa_*y_)
-            ),
-            scalar(10)
-        )
-    );
-
-    const volScalarField::Internal g(r + Cw2_*(pow6(r) - r));
-
-    return
-        g*pow
-        (
-            (scalar(1) + pow6(Cw3_))/(pow6(g) + pow6(Cw3_)),
-            scalar(1)/scalar(6)
-        );
-}
-
-
-template<class BasicTurbulenceModel>
-void SpalartAllmaras<BasicTurbulenceModel>::correctNut()
-{
-    this->nut_ = nuTilda_*this->fv1(this->chi());
-    this->nut_.correctBoundaryConditions();
-    fv::options::New(this->mesh_).correct(this->nut_);
-
-    BasicTurbulenceModel::correctNut();
 }
 
 
@@ -154,7 +64,7 @@ SpalartAllmaras<BasicTurbulenceModel>::SpalartAllmaras
     const word& type
 )
 :
-    eddyViscosity<RASModel<BasicTurbulenceModel>>
+    SpalartAllmarasBase<eddyViscosity<RASModel<BasicTurbulenceModel>>>
     (
         type,
         alpha,
@@ -164,97 +74,7 @@ SpalartAllmaras<BasicTurbulenceModel>::SpalartAllmaras
         phi,
         transport,
         propertiesName
-    ),
-
-    sigmaNut_
-    (
-        dimensioned<scalar>::getOrAddToDict
-        (
-            "sigmaNut",
-            this->coeffDict_,
-            scalar(2)/scalar(3)
     )
-    ),
-    kappa_
-    (
-        dimensioned<scalar>::getOrAddToDict
-        (
-            "kappa",
-            this->coeffDict_,
-            0.41
-        )
-    ),
-
-    Cb1_
-    (
-        dimensioned<scalar>::getOrAddToDict
-        (
-            "Cb1",
-            this->coeffDict_,
-            0.1355
-        )
-    ),
-    Cb2_
-    (
-        dimensioned<scalar>::getOrAddToDict
-        (
-            "Cb2",
-            this->coeffDict_,
-            0.622
-        )
-    ),
-    Cw1_(Cb1_/sqr(kappa_) + (scalar(1) + Cb2_)/sigmaNut_),
-    Cw2_
-    (
-        dimensioned<scalar>::getOrAddToDict
-        (
-            "Cw2",
-            this->coeffDict_,
-            0.3
-        )
-    ),
-    Cw3_
-    (
-        dimensioned<scalar>::getOrAddToDict
-        (
-            "Cw3",
-            this->coeffDict_,
-            2.0
-        )
-    ),
-    Cv1_
-    (
-        dimensioned<scalar>::getOrAddToDict
-        (
-            "Cv1",
-            this->coeffDict_,
-            7.1
-        )
-    ),
-    Cs_
-    (
-        dimensioned<scalar>::getOrAddToDict
-        (
-            "Cs",
-            this->coeffDict_,
-            0.3
-        )
-    ),
-
-    nuTilda_
-    (
-        IOobject
-        (
-            "nuTilda",
-            this->runTime_.timeName(),
-            this->mesh_,
-            IOobject::MUST_READ,
-            IOobject::AUTO_WRITE
-        ),
-        this->mesh_
-    ),
-
-    y_(wallDist::New(this->mesh_).y())
 {
     if (type == typeName)
     {
@@ -263,153 +83,6 @@ SpalartAllmaras<BasicTurbulenceModel>::SpalartAllmaras
 }
 
 
-// * * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * //
-
-template<class BasicTurbulenceModel>
-bool SpalartAllmaras<BasicTurbulenceModel>::read()
-{
-    if (eddyViscosity<RASModel<BasicTurbulenceModel>>::read())
-    {
-        sigmaNut_.readIfPresent(this->coeffDict());
-        kappa_.readIfPresent(this->coeffDict());
-
-        Cb1_.readIfPresent(this->coeffDict());
-        Cb2_.readIfPresent(this->coeffDict());
-        Cw1_ = Cb1_/sqr(kappa_) + (scalar(1) + Cb2_)/sigmaNut_;
-        Cw2_.readIfPresent(this->coeffDict());
-        Cw3_.readIfPresent(this->coeffDict());
-        Cv1_.readIfPresent(this->coeffDict());
-        Cs_.readIfPresent(this->coeffDict());
-
-        return true;
-    }
-
-    return false;
-}
-
-
-template<class BasicTurbulenceModel>
-tmp<volScalarField> SpalartAllmaras<BasicTurbulenceModel>::DnuTildaEff() const
-{
-    return tmp<volScalarField>::New
-    (
-        "DnuTildaEff",
-        (nuTilda_ + this->nu())/sigmaNut_
-    );
-}
-
-
-template<class BasicTurbulenceModel>
-tmp<volScalarField> SpalartAllmaras<BasicTurbulenceModel>::k() const
-{
-    // (B:Eq. 4.50)
-    const scalar Cmu = 0.09;
-
-    return tmp<volScalarField>::New
-    (
-        IOobject
-        (
-            IOobject::groupName("k", this->alphaRhoPhi_.group()),
-            this->runTime_.timeName(),
-            this->mesh_
-        ),
-        cbrt(this->fv1(this->chi()))
-        *nuTilda_
-        *::sqrt(scalar(2)/Cmu)
-        *mag(symm(fvc::grad(this->U_))),
-        this->nut_.boundaryField().types()
-    );
-}
-
-
-template<class BasicTurbulenceModel>
-tmp<volScalarField> SpalartAllmaras<BasicTurbulenceModel>::epsilon() const
-{
-    // (B:Eq. 4.50)
-    const scalar Cmu = 0.09;
-    const dimensionedScalar nutSMALL(sqr(dimLength)/dimTime, SMALL);
-
-    return tmp<volScalarField>::New
-    (
-        IOobject
-        (
-            IOobject::groupName("epsilon", this->alphaRhoPhi_.group()),
-            this->runTime_.timeName(),
-            this->mesh_
-        ),
-        pow(this->fv1(this->chi()), 0.5)
-        *pow(::sqrt(Cmu)*this->k(), 2)
-        /(nuTilda_ + this->nut_ + nutSMALL),
-        this->nut_.boundaryField().types()
-    );
-}
-
-
-template<class BasicTurbulenceModel>
-tmp<volScalarField> SpalartAllmaras<BasicTurbulenceModel>::omega() const
-{
-    // (P:p. 384)
-    const scalar betaStar = 0.09;
-    const dimensionedScalar k0(sqr(dimLength/dimTime), SMALL);
-
-    return tmp<volScalarField>::New
-    (
-        IOobject
-        (
-            IOobject::groupName("omega", this->alphaRhoPhi_.group()),
-            this->runTime_.timeName(),
-            this->mesh_
-        ),
-        this->epsilon()/(betaStar*(this->k() + k0)),
-        this->nut_.boundaryField().types()
-    );
-}
-
-
-template<class BasicTurbulenceModel>
-void SpalartAllmaras<BasicTurbulenceModel>::correct()
-{
-    if (!this->turbulence_)
-    {
-        return;
-    }
-
-    {
-        // Construct local convenience references
-        const alphaField& alpha = this->alpha_;
-        const rhoField& rho = this->rho_;
-        const surfaceScalarField& alphaRhoPhi = this->alphaRhoPhi_;
-        fv::options& fvOptions(fv::options::New(this->mesh_));
-
-        eddyViscosity<RASModel<BasicTurbulenceModel>>::correct();
-
-        const volScalarField::Internal Stilda(this->Stilda());
-
-        tmp<fvScalarMatrix> nuTildaEqn
-        (
-            fvm::ddt(alpha, rho, nuTilda_)
-          + fvm::div(alphaRhoPhi, nuTilda_)
-          - fvm::laplacian(alpha*rho*DnuTildaEff(), nuTilda_)
-          - Cb2_/sigmaNut_*alpha*rho*magSqr(fvc::grad(nuTilda_))
-         ==
-            Cb1_*alpha()*rho()*Stilda*nuTilda_()
-          - fvm::Sp(Cw1_*alpha()*rho()*fw(Stilda)*nuTilda_()/sqr(y_), nuTilda_)
-          + fvOptions(alpha, rho, nuTilda_)
-        );
-
-        nuTildaEqn.ref().relax();
-        fvOptions.constrain(nuTildaEqn.ref());
-        solve(nuTildaEqn);
-        fvOptions.correct(nuTilda_);
-        bound(nuTilda_, dimensionedScalar(nuTilda_.dimensions(), Zero));
-        nuTilda_.correctBoundaryConditions();
-    }
-
-    // Update nut with latest available nuTilda
-    correctNut();
-}
-
-
 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
 } // End namespace RASModels

src/TurbulenceModels/turbulenceModels/RAS/SpalartAllmaras/SpalartAllmaras.H

@@ -52,18 +52,6 @@ Description
             Spalart-Allmaras One-Equation Model without ft2 Term (SA-noft2).
             https://turbmodels.larc.nasa.gov/spalart.html#sanoft2
             (Retrieved:12-01-2021).
-
-        Estimation expression for k and epsilon (tag:B), Eq. 4.50:
-            Bourgoin, A. (2019).
-            Bathymetry induced turbulence modelling the
-            Alderney Race site: regional approach with TELEMAC-LES.
-            Normandie Université.
-
-        Estimation expressions for omega (tag:P):
-            Pope, S. B. (2000).
-            Turbulent flows.
-            Cambridge, UK: Cambridge Univ. Press
-            DOI:10.1017/CBO9780511840531
     \endverbatim
 
 Usage
@@ -96,8 +84,6 @@ Note
   - The model is implemented without the trip-term since the model has almost
     always been used in fully turbulent applications rather than those where
     laminar-turbulent transition occurs.
-  - It has been argued that the \c ft2 term is not needed in the absence of the
-    trip-term, hence \c ft2 term is also not implementated.
   - The \c Stilda generation term should never be allowed to be zero or negative
     to avoid potential numerical issues and unphysical results for complex
     flows. To this end, a limiter proposed by Spalart (R:Note-1(b)) is applied
@@ -112,11 +98,12 @@ SourceFiles
 
 \*---------------------------------------------------------------------------*/
 
-#ifndef SpalartAllmaras_H
+#ifndef Foam_SpalartAllmaras_H
-#define SpalartAllmaras_H
+#define Foam_SpalartAllmaras_H
 
 #include "RASModel.H"
 #include "eddyViscosity.H"
+#include "SpalartAllmarasBase.H"
 
 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
 
@@ -132,7 +119,7 @@ namespace RASModels
 template<class BasicTurbulenceModel>
 class SpalartAllmaras
 :
-    public eddyViscosity<RASModel<BasicTurbulenceModel>>
+    public SpalartAllmarasBase<eddyViscosity<RASModel<BasicTurbulenceModel>>>
 {
     // Private Member Functions
 
@@ -145,55 +132,16 @@ class SpalartAllmaras
 
 protected:
 
-    // Protected Data
-
-        // Model coefficients
-
-            dimensionedScalar sigmaNut_;
-            dimensionedScalar kappa_;
-            dimensionedScalar Cb1_;
-            dimensionedScalar Cb2_;
-            dimensionedScalar Cw1_;
-            dimensionedScalar Cw2_;
-            dimensionedScalar Cw3_;
-            dimensionedScalar Cv1_;
-            dimensionedScalar Cs_;
-
-
-        // Fields
-
-            //- Modified kinematic viscosity [m2/s]
-            volScalarField nuTilda_;
-
-            //- Wall distance
-            //  Note: different to wall distance in parent RASModel
-            //  which is for near-wall cells only
-            const volScalarField::Internal& y_;
-
-
     // Protected Member Functions
 
-        tmp<volScalarField> chi() const;
+        //- Return the length scale
-
+        virtual tmp<volScalarField> dTilda
-        tmp<volScalarField> fv1(const volScalarField& chi) const;
-
-        tmp<volScalarField::Internal> fv2
         (
-            const volScalarField::Internal& chi,
+            const volScalarField& chi,
-            const volScalarField::Internal& fv1
+            const volScalarField& fv1,
+            const volTensorField& gradU
         ) const;
 
-        tmp<volScalarField::Internal> Stilda() const;
-
-        tmp<volScalarField::Internal> fw
-        (
-            const volScalarField::Internal& Stilda
-        ) const;
-
-
-        //- Update nut with the latest available nuTilda
-        virtual void correctNut();
-
 
 public:
 
@@ -224,27 +172,6 @@ public:
 
     //- Destructor
     virtual ~SpalartAllmaras() = default;
-
-
-    // Member Functions
-
-        //- Re-read model coefficients if they have changed
-        virtual bool read();
-
-        //- Return the effective diffusivity for nuTilda
-        tmp<volScalarField> DnuTildaEff() const;
-
-        //- Return the (estimated) turbulent kinetic energy
-        virtual tmp<volScalarField> k() const;
-
-        //- Return the (estimated) turbulent kinetic energy dissipation rate
-        virtual tmp<volScalarField> epsilon() const;
-
-        //- Return the (estimated) specific dissipation rate
-        virtual tmp<volScalarField> omega() const;
-
-        //- Solve the turbulence equations and correct the turbulent viscosity
-        virtual void correct();
 };
 
 

src/finiteVolume/finiteVolume/fvc/fvcSmooth/fvcSmooth.C

@@ -348,7 +348,7 @@ void Foam::fvc::spreadSource
         zeroGradientFvPatchField<scalar>::typeName
     );
 
-    //- Smearing of source term field
+    // Smearing of source term field
     fvScalarMatrix mSourceEqn
     (
         fvm::Sp(scalar(1), mDotSmear)
@@ -384,7 +384,7 @@ void Foam::fvc::spreadSource
     reduce(intvDotVapor.value(), sumOp<scalar>());
     reduce(intvDotLiquid.value(), sumOp<scalar>());
 
-    //- Calculate Nl and Nv
+    // Calculate Nl and Nv
     dimensionedScalar Nl ("Nl", dimless, Zero);
     dimensionedScalar Nv ("Nv", dimless, Zero);
 
@@ -399,7 +399,7 @@ void Foam::fvc::spreadSource
         Nl = intmSource0/intvDotLiquid;
     }
 
-    //- Set source terms in cells with alpha1 < cutoff or alpha1 > 1-cutoff
+    // Set source terms in cells with alpha1 < cutoff or alpha1 > 1-cutoff
     forAll(mesh.C(), celli)
     {
         if (alpha1[celli] < cutoff)
@@ -417,4 +417,6 @@ void Foam::fvc::spreadSource
         }
     }
 }
+
+
 // ************************************************************************* //

src/finiteVolume/finiteVolume/fvc/fvcSmooth/fvcSmooth.H

@@ -32,22 +32,25 @@ Description
     Provides functions smooth spread and sweep which use the FaceCellWave
     algorithm to smooth and redistribute the first field argument.
 
-    smooth: smooths the field by ensuring the values in neighbouring cells are
+    smooth:
+        smooths the field by ensuring the values in neighbouring cells are
         at least coeff* the cell value.
 
-    spread: redistributes the field by spreading the maximum value within the
+    spread:
+        redistributes the field by spreading the maximum value within the
         region defined by the value (being between alphaMax and alphaMin)
         and gradient of alpha (where the difference between the values in
         neighbouring cells is larger than alphaDiff).
 
-    sweep: redistributes the field by sweeping the maximum value where the
+    sweep:
+        redistributes the field by sweeping the maximum value where the
         gradient of alpha is large (where the difference between the values
         in neighbouring cells is larger than alphaDiff) away from that
         starting point of the sweep.
 
-
+    spreadSource:
-    spreadSource: spread a source field (mDotIn) for two phase multiphase using
+        spread a source field (mDotIn) for two phase multiphase using
-                  a laplacian operator and diffussivity D.
+        a laplacian operator and diffusivity D.
         The spread source (mDotOut) is distributed from alpha1 < cutoff
         to alpha1 > 1 - cutoff, and it is zero across the interface
 

src/functionObjects/field/turbulenceFields/turbulenceFields.C

@@ -6,7 +6,7 @@
      \\/     M anipulation  |
 -------------------------------------------------------------------------------
     Copyright (C) 2013-2016 OpenFOAM Foundation
-    Copyright (C) 2015-2021 OpenCFD Ltd.
+    Copyright (C) 2015-2022 OpenCFD Ltd.
 -------------------------------------------------------------------------------
 License
     This file is part of OpenFOAM.
@@ -29,6 +29,7 @@ License
 #include "turbulenceFields.H"
 #include "turbulentTransportModel.H"
 #include "turbulentFluidThermoModel.H"
+#include "DESModelBase.H"
 #include "addToRunTimeSelectionTable.H"
 
 // * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
@@ -60,6 +61,8 @@ Foam::functionObjects::turbulenceFields::compressibleFieldNames_
     { compressibleField::cfDevRhoReff, "devRhoReff" },
     { compressibleField::cfL, "L" },
     { compressibleField::cfI, "I" },
+    { compressibleField::cfLESRegion, "LESRegion" },
+    { compressibleField::cffd, "fd" },
 });
 
 
@@ -79,6 +82,8 @@ Foam::functionObjects::turbulenceFields::incompressibleFieldNames_
     { incompressibleField::ifDevReff, "devReff" },
     { incompressibleField::ifL, "L" },
     { incompressibleField::ifI, "I" },
+    { incompressibleField::ifLESRegion, "LESRegion" },
+    { incompressibleField::iffd, "fd" },
 });
 
 
@@ -267,6 +272,36 @@ bool Foam::functionObjects::turbulenceFields::execute()
                     processField<scalar>(f, I(model));
                     break;
                 }
+                case cfLESRegion:
+                {
+                    auto* DESPtr = mesh_.cfindObject<DESModelBase>(modelName_);
+                    if (!DESPtr)
+                    {
+                        WarningInFunction
+                            << "Turbulence model is not a DES model - "
+                            << "skipping request for LESRegion" << endl;
+
+                        break;
+                    }
+
+                    processField<scalar>(f, DESPtr->LESRegion());
+                    break;
+                }
+                case cffd:
+                {
+                    auto* DESPtr = mesh_.cfindObject<DESModelBase>(modelName_);
+                    if (!DESPtr)
+                    {
+                        WarningInFunction
+                            << "Turbulence model is not a DES model - "
+                            << "skipping request for fd" << endl;
+
+                        break;
+                    }
+
+                    processField<scalar>(f, DESPtr->fd());
+                    break;
+                }
                 default:
                 {
                     FatalErrorInFunction
@@ -334,6 +369,36 @@ bool Foam::functionObjects::turbulenceFields::execute()
                     processField<scalar>(f, I(model));
                     break;
                 }
+                case ifLESRegion:
+                {
+                    auto* DESPtr = mesh_.cfindObject<DESModelBase>(modelName_);
+                    if (!DESPtr)
+                    {
+                        WarningInFunction
+                            << "Turbulence model is not a DES model - "
+                            << "skipping request for LESRegion" << endl;
+
+                        break;
+                    }
+
+                    processField<scalar>(f, DESPtr->LESRegion());
+                    break;
+                }
+                case iffd:
+                {
+                    auto* DESPtr = mesh_.cfindObject<DESModelBase>(modelName_);
+                    if (!DESPtr)
+                    {
+                        WarningInFunction
+                            << "Turbulence model is not a DES model - "
+                            << "skipping request for fd" << endl;
+
+                        break;
+                    }
+
+                    processField<scalar>(f, DESPtr->fd());
+                    break;
+                }
                 default:
                 {
                     FatalErrorInFunction

src/functionObjects/field/turbulenceFields/turbulenceFields.H

@@ -182,7 +182,9 @@ public:
             cfR,            //!< "Reynolds stress tensor"
             cfDevRhoReff,   //!< "Divergence of the Reynolds stress"
             cfL,            //!< "Integral-length/Mixing-length scale"
-            cfI             //!< "Turbulence intensity"
+            cfI,            //!< "Turbulence intensity"
+            cfLESRegion,    //!< "DES model LES region indicator field"
+            cffd            //!< "DES model shielding function"
         };
 
         //- Names for compressibleField turbulence fields
@@ -200,7 +202,9 @@ public:
             ifR,            //!< "Reynolds stress tensor"
             ifDevReff,   //!< "Deviatoric part of the effective Reynolds stress"
             ifL,            //!< "Integral-length/Mixing-length scale"
-            ifI             //!< "Turbulence intensity"
+            ifI,            //!< "Turbulence intensity"
+            ifLESRegion,    //!< "DES model LES region indicator field"
+            iffd            //!< "DES model shielding function"
         };
 
         //- Names for incompressibleField turbulence fields

tutorials/incompressible/pimpleFoam/LES/vortexShed/system/controlDict

@@ -46,6 +46,15 @@ runTimeModifiable true;
 
 functions
 {
+    turbulenceFields1
+    {
+        type            turbulenceFields;
+        libs            (fieldFunctionObjects);
+        writeControl    writeTime;
+
+        fields          (fd LESRegion);
+    }
+
     minMax1
     {
         libs            (fieldFunctionObjects);

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/Allclean

@@ -0,0 +1,10 @@
+#!/bin/sh
+cd "${0%/*}" || exit                                # Run from this directory
+. ${WM_PROJECT_DIR:?}/bin/tools/CleanFunctions      # Tutorial clean functions
+#------------------------------------------------------------------------------
+
+rm -rf setups
+rm -rf results
+rm -rf plots
+
+#------------------------------------------------------------------------------

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/Allrun

@@ -0,0 +1,150 @@
+#!/bin/sh
+cd "${0%/*}" || exit                                # Run from this directory
+. ${WM_PROJECT_DIR:?}/bin/tools/RunFunctions        # Tutorial run functions
+#------------------------------------------------------------------------------
+
+# settings
+
+    # operand setups
+    setups="
+    SpalartAllmarasDDES-DeltaOmegaTilde-useSigmaTrue
+    kOmegaSSTDDES-DeltaOmegaTilde-useSigmaTrue
+    SpalartAllmarasDDES-SLADelta-useSigmaFalse
+    SpalartAllmarasDDES-maxDeltaxyzCubeRoot
+    SpalartAllmarasIDDES-IDDESDelta
+    "
+
+    # flag to enable computations
+    run=true
+
+    # flag to enable computations in parallel mode
+    parallel=true
+
+    # flag to enable to use a common mesh
+    common_mesh=true
+
+
+#------------------------------------------------------------------------------
+
+#######################################
+# Create the given setup
+# Arguments:
+#    $1 = Path to create the setup
+# Outputs:
+#    Writes info to stdout
+#######################################
+dry_run_setup() {
+
+    [ $# -eq 0 ] && { echo "Usage error: $0"; exit 1; }
+
+    setup="$1"
+    dirSetup="setups/$setup"
+    dirSetupOrig="setups.orig/$setup"
+    dirOrig="$dirSetupOrig/0.orig"
+    dirConstant="$dirSetupOrig/constant"
+    dirSystem="$dirSetupOrig/system"
+
+    printf "\n# Create the setup: %s\n" "$setup"
+
+    if [ ! -d "$dirSetup" ]
+    then
+        mkdir -p "$dirSetup"
+
+        cp -aRfL "setups.orig/common/." "$dirSetup"
+        cp -afL "$dirSetupOrig"/All* "$dirSetup" 2>/dev/null || :
+        [ -d "$dirOrig" ] && cp -aRfL "$dirOrig/." "$dirSetup/0.orig"
+        [ -d "$dirConstant" ] && cp -aRfL "$dirConstant/." "$dirSetup/constant"
+        [ -d "$dirSystem" ] && cp -aRfL "$dirSystem/." "$dirSetup/system"
+    else
+        printf "\n      # Directory %s already exists\n" "$dirSetup"
+        printf "      # Skipping the creation of a new setup\n"
+    fi
+}
+
+
+#######################################
+# Run the given setup
+# Arguments:
+#    $1 = Path to the setup to run
+# Outputs:
+#    Writes info to stdout
+#######################################
+run_setup() {
+
+    [ $# -eq 0 ] && { echo "Usage error: $0"; exit 1; }
+
+    setup="$1"
+    dirSetup="setups/$setup"
+    dirResult="results/$setup"
+
+    dry_run_setup "$setup"
+    [ -d results ] || mkdir -p results
+
+    printf "\n# Run the setup: %s\n\n" "$setup"
+
+    if [ ! -d "$dirResult" ]
+    then
+        cp -Rf "$dirSetup" "$dirResult"
+
+        if [ "$common_mesh" = true ]
+        then
+            if [ -d results/mesh ]
+            then
+                printf "## Copy the common mesh to the setup: %s\n\n" "$setup"
+                cp -Rf results/mesh/polyMesh "$dirResult"/constant/.
+            fi
+        fi
+
+        if [ "$parallel" = true ]
+        then
+            ( cd "$dirResult" && ./Allrun-parallel )
+        else
+            ( cd "$dirResult" && ./Allrun )
+        fi
+
+        if [ "$common_mesh" = true ]
+        then
+            if [ ! -d results/mesh ]
+            then
+                printf "\n## Store the mesh of %s as the common mesh\n\n" "$setup"
+                mkdir -p results/mesh
+                cp -Rf "$dirResult"/constant/polyMesh results/mesh/.
+            fi
+        fi
+
+    else
+        printf "      # Directory %s already exists\n" "$dirResult"
+        printf "      # Skipping the computation of the given setup\n"
+    fi
+}
+
+
+#------------------------------------------------------------------------------
+
+for setup in $setups
+do
+    dirSetupOrig="setups.orig/$setup"
+
+    if [ ! -d "$dirSetupOrig" ]
+    then
+        echo "Setup directory: $dirSetupOrig" \
+             "could not be found - skipping execution" 1>&2
+        continue
+    fi
+
+    if [ "$run" = true ]
+    then
+        run_setup "$setup"
+    else
+        dry_run_setup "$setup"
+    fi
+done
+
+
+if notTest "$@" && [ "$run" = true ]
+then
+    ./plot
+fi
+
+
+#------------------------------------------------------------------------------

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/README.md

@@ -0,0 +1,23 @@
+<!------------------------------------------------------------------------- -->
+
+## 2D NASA wall-mounted hump
+
+- Configuration without the plenum is considered here.
+- Experimental data publicly available from (13/04/2022):
+https://turbmodels.larc.nasa.gov/nasahump_val.html
+- References:
+
+    Greenblatt, D., Paschal, K. B., Yao, C. S.,
+    Harris, J.,Schaeffler, N. W., & Washburn, A. E. (2006).
+    Experimental investigation of separation control part 1:
+    baseline and steady suction. AIAA journal, 44(12), 2820-2830.
+    DOI:10.2514/1.13817
+
+    Greenblatt, D., Paschal, K. B., Yao, C. S., & Harris, J. (2006).
+    Experimental investigation of separation control part 2:
+    zero mass-flux oscillatory blowing.
+    AIAA journal, 44(12), 2831-2845.
+    DOI:10.2514/1.19324
+
+
+<!------------------------------------------------------------------------- -->

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/plot

@@ -0,0 +1,496 @@
+#!/bin/bash
+cd "${0%/*}" || exit                                # Run from this directory
+. ${WM_PROJECT_DIR:?}/bin/tools/RunFunctions        # Tutorial run functions
+#------------------------------------------------------------------------------
+
+# settings
+
+    # operand setups
+    setups="
+    SpalartAllmarasDDES-DeltaOmegaTilde-useSigmaTrue
+    kOmegaSSTDDES-DeltaOmegaTilde-useSigmaTrue
+    SpalartAllmarasDDES-SLADelta-useSigmaFalse
+    SpalartAllmarasDDES-maxDeltaxyzCubeRoot
+    SpalartAllmarasIDDES-IDDESDelta
+    "
+
+
+#------------------------------------------------------------------------------
+
+plot_u_R_all_setups() {
+
+    echo ""
+    echo "# Plots the velocity and Reynolds stress tensor components"
+    echo ""
+
+    setups=$@
+
+    n=0
+    for setup in $setups
+    do
+        pre="resources/dataset/exp_vel_and_turb_xbyc"
+        benchmarkFiles0="${pre}0.65.dat"
+        benchmarkFiles1="${pre}0.66.dat"
+        benchmarkFiles2="${pre}0.80.dat"
+        benchmarkFiles3="${pre}0.90.dat"
+        benchmarkFiles4="${pre}1.00.dat"
+        benchmarkFiles5="${pre}1.10.dat"
+        benchmarkFiles6="${pre}1.20.dat"
+        benchmarkFiles7="${pre}1.30.dat"
+
+        endTime=$(foamDictionary results/$setup/system/controlDict -entry endTime -value)
+        pre="results/$setup/postProcessing/sample.lines/$endTime/xbyc"
+        post="_columnAverage(UMean)_columnAverage(UPrime2Mean).xy"
+        sampleFiles0[$n]="${pre}0.65${post}"
+        sampleFiles1[$n]="${pre}0.66${post}"
+        sampleFiles2[$n]="${pre}0.80${post}"
+        sampleFiles3[$n]="${pre}0.90${post}"
+        sampleFiles4[$n]="${pre}1.00${post}"
+        sampleFiles5[$n]="${pre}1.10${post}"
+        sampleFiles6[$n]="${pre}1.20${post}"
+        sampleFiles7[$n]="${pre}1.30${post}"
+        n=$(($n+1))
+    done
+
+    gnuplot<<PLT
+    set terminal pngcairo font "helvetica,16" size 1800, 1800
+    set grid
+
+    # Benchmark
+        bench0="$benchmarkFiles0"
+        bench1="$benchmarkFiles1"
+        bench2="$benchmarkFiles2"
+        bench3="$benchmarkFiles3"
+        bench4="$benchmarkFiles4"
+        bench5="$benchmarkFiles5"
+        bench6="$benchmarkFiles6"
+        bench7="$benchmarkFiles7"
+
+    # OpenFOAM
+        models="${setups[*]}"
+        samples0="${sampleFiles0[*]}"
+        samples1="${sampleFiles1[*]}"
+        samples2="${sampleFiles2[*]}"
+        samples3="${sampleFiles3[*]}"
+        samples4="${sampleFiles4[*]}"
+        samples5="${sampleFiles5[*]}"
+        samples6="${sampleFiles6[*]}"
+        samples7="${sampleFiles7[*]}"
+
+
+    ### u ###
+    set key bottom right
+    set key font ",10"
+    set xrange [-0.4:1.2]
+    set yrange [0:0.2]
+    set xlabel "U_x/U_0"
+    set ylabel "y/c"
+    set output "plots/all_setups_u_vs_y.png"
+    set multiplot layout 2,4 rowsfirst
+
+    # --- GRAPH x/c=0.65
+    set title "x/c=0.65"
+    plot \
+        bench0 every 2 u 3:2 t "Experiment" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples0)] word(samples0, i) \
+            u 2:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=0.66
+    unset ylabel
+    unset key
+    set title "x/c=0.66"
+    plot \
+        bench1 every 2 u 3:2 t "Exp. x/c=0.66" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples1)] word(samples1, i) \
+            u 2:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=0.80
+    set title "x/c=0.80"
+    plot \
+        bench2 every 2 u 3:2 t "Exp. x/c=0.80" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples2)] word(samples2, i) \
+            u 2:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=0.90
+    set title "x/c=0.90"
+    plot \
+        bench3 every 2 u 3:2 t "Exp. x/c=0.90" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples3)] word(samples3, i) \
+            u 2:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=1.00
+    set title "x/c=1.00"
+    set ylabel "y/c"
+    plot \
+        bench4 every 2 u 3:2 t "Exp. x/c=1.00" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples4)] word(samples4, i) \
+            u 2:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=1.10
+    set title "x/c=1.10"
+    unset ylabel
+    plot \
+        bench5 every 2 u 3:2 t "Exp. x/c=1.10" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples5)] word(samples5, i) \
+            u 2:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=1.20
+    set title "x/c=1.20"
+    plot \
+        bench6 every 2 u 3:2 t "Exp. x/c=1.20" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples6)] word(samples6, i) \
+            u 2:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=1.30
+    set title "x/c=1.30"
+    plot \
+        bench7 every 2 u 3:2 t "Exp. x/c=1.30" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples7)] word(samples7, i) \
+            u 2:1 t word(models, i) w l lw 2
+
+    unset multiplot
+    unset output
+
+
+    ### Ruu ###
+    set key bottom right
+    set key font ",10"
+    set xrange [0:0.1]
+    set yrange [0:0.2]
+    set xlabel "<u'u'>/{U_0}^2"
+    set ylabel "y/c"
+    set output "plots/all_setups_Ruu_vs_y.png"
+    set multiplot layout 2,4 rowsfirst
+
+    # --- GRAPH x/c=0.65
+    set title "x/c=0.65"
+    plot \
+        bench0 every 2 u 5:2 t "Experiment" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples0)] word(samples0, i) \
+            u 5:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=0.66
+    unset ylabel
+    unset key
+    set title "x/c=0.66"
+    plot \
+        bench1 every 2 u 5:2 t "Exp. x/c=0.66" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples1)] word(samples1, i) \
+            u 5:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=0.80
+    set title "x/c=0.80"
+    plot \
+        bench2 every 2 u 5:2 t "Exp. x/c=0.80" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples2)] word(samples2, i) \
+            u 5:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=0.90
+    set title "x/c=0.90"
+    plot \
+        bench3 every 2 u 5:2 t "Exp. x/c=0.90" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples3)] word(samples3, i) \
+            u 5:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=1.00
+    set title "x/c=1.00"
+    set ylabel "y/c"
+    plot \
+        bench4 every 2 u 5:2 t "Exp. x/c=1.00" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples4)] word(samples4, i) \
+            u 5:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=1.10
+    set title "x/c=1.10"
+    unset ylabel
+    plot \
+        bench5 every 2 u 5:2 t "Exp. x/c=1.10" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples5)] word(samples5, i) \
+            u 5:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=1.20
+    set title "x/c=1.20"
+    plot \
+        bench6 every 2 u 5:2 t "Exp. x/c=1.20" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples6)] word(samples6, i) \
+            u 5:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=1.30
+    set title "x/c=1.30"
+    plot \
+        bench7 every 2 u 5:2 t "Exp. x/c=1.30" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples7)] word(samples7, i) \
+            u 5:1 t word(models, i) w l lw 2
+
+    unset multiplot
+    unset output
+
+
+    ### Rvv ###
+    set key bottom right
+    set key font ",10"
+    set xrange [0:0.06]
+    set yrange [0:0.2]
+    set xlabel "<v'v'>/{U_0}^2"
+    set ylabel "y/c"
+    set output "plots/all_setups_Rvv_vs_y.png"
+    set multiplot layout 2,4 rowsfirst
+
+    # --- GRAPH x/c=0.65
+    set title "x/c=0.65"
+    plot \
+        bench0 every 2 u 6:2 t "Experiment" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples0)] word(samples0, i) \
+            u 8:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=0.66
+    unset ylabel
+    unset key
+    set title "x/c=0.66"
+    plot \
+        bench1 every 2 u 6:2 t "Exp. x/c=0.66" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples1)] word(samples1, i) \
+            u 8:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=0.80
+    set title "x/c=0.80"
+    plot \
+        bench2 every 2 u 6:2 t "Exp. x/c=0.80" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples2)] word(samples2, i) \
+            u 8:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=0.90
+    set title "x/c=0.90"
+    plot \
+        bench3 every 2 u 6:2 t "Exp. x/c=0.90" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples3)] word(samples3, i) \
+            u 8:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=1.00
+    set title "x/c=1.00"
+    set ylabel "y/c"
+    plot \
+        bench4 every 2 u 6:2 t "Exp. x/c=1.00" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples4)] word(samples4, i) \
+            u 8:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=1.10
+    set title "x/c=1.10"
+    unset ylabel
+    plot \
+        bench5 every 2 u 6:2 t "Exp. x/c=1.10" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples5)] word(samples5, i) \
+            u 8:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=1.20
+    set title "x/c=1.20"
+    plot \
+        bench6 every 2 u 6:2 t "Exp. x/c=1.20" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples6)] word(samples6, i) \
+            u 8:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=1.30
+    set title "x/c=1.30"
+    plot \
+        bench7 every 2 u 6:2 t "Exp. x/c=1.30" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples7)] word(samples7, i) \
+            u 8:1 t word(models, i) w l lw 2
+
+    unset multiplot
+    unset output
+
+
+    ### Ruv ###
+    set key bottom right
+    set key font ",10"
+    set xrange [-0.04:0]
+    set yrange [0:0.2]
+    set xtics 0.01
+    set xlabel "<u'v'>/{U_0}^2"
+    set ylabel "y/c"
+    set output "plots/all_setups_Ruv_vs_y.png"
+    set multiplot layout 2,4 rowsfirst
+
+    # --- GRAPH x/c=0.65
+    set title "x/c=0.65"
+    plot \
+        bench0 every 2 u 7:2 t "Experiment" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples0)] word(samples0, i) \
+            u 6:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=0.66
+    unset ylabel
+    unset key
+    set title "x/c=0.66"
+    plot \
+        bench1 every 2 u 7:2 t "Exp. x/c=0.66" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples1)] word(samples1, i) \
+            u 6:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=0.80
+    set title "x/c=0.80"
+    plot \
+        bench2 every 2 u 7:2 t "Exp. x/c=0.80" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples2)] word(samples2, i) \
+            u 6:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=0.90
+    set title "x/c=0.90"
+    plot \
+        bench3 every 2 u 7:2 t "Exp. x/c=0.90" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples3)] word(samples3, i) \
+            u 6:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=1.00
+    set title "x/c=1.00"
+    set ylabel "y/c"
+    plot \
+        bench4 every 2 u 7:2 t "Exp. x/c=1.00" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples4)] word(samples4, i) \
+            u 6:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=1.10
+    set title "x/c=1.10"
+    unset ylabel
+    plot \
+        bench5 every 2 u 7:2 t "Exp. x/c=1.10" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples5)] word(samples5, i) \
+            u 6:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=1.20
+    set title "x/c=1.20"
+    plot \
+        bench6 every 2 u 7:2 t "Exp. x/c=1.20" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples6)] word(samples6, i) \
+            u 6:1 t word(models, i) w l lw 2
+
+    # --- GRAPH x/c=1.30
+    set title "x/c=1.30"
+    plot \
+        bench7 every 2 u 7:2 t "Exp. x/c=1.30" \
+            w p ps 1.5 pt 7 lw 2 lc rgb "black", \
+        for [i=1:words(samples7)] word(samples7, i) \
+            u 6:1 t word(models, i) w l lw 2
+
+    unset multiplot
+    unset output
+PLT
+}
+
+
+plot_cf_all_setups() {
+
+    echo ""
+    echo "# Plots the skin-friction coefficient"
+    echo ""
+
+    setups=$@
+
+    benchmarkFile="resources/dataset/exp_cf.dat"
+
+    n=0
+    for setup in $setups
+    do
+        # few manipulations
+        endTime=$(foamDictionary results/$setup/system/controlDict -entry endTime -value)
+
+        sampleFiles[$n]="results/$setup/postProcessing/sample.bottomWall/$endTime/wallShearStressMean_bottomWall.raw"
+        n=$(($n+1))
+    done
+
+    image="plots/all_setups_x_vs_cf.png"
+
+    gnuplot<<PLT_X_VS_CF
+    set terminal pngcairo font "helvetica,20" size 1000, 1000
+    set grid
+    set xrange [-0.1:1.6]
+    set yrange [-0.0025:0.01]
+    set key left top reverse
+    set key samplen 2
+    set key spacing 0.75
+    set xlabel "x/c"
+    set ylabel "C_f"
+    set output "$image"
+    set title "Skin-friction coefficient" noenhanced
+
+    # Benchmark
+        benchmark="$benchmarkFile"
+
+    # OpenFOAM
+        models="${setups[*]}"
+        samples="${sampleFiles[*]}"
+        U0=1
+        c=1
+
+    plot \
+        benchmark u 1:2 t "Experiment" w p ps 1.5 pt 7 lc rgb "black", \
+        for [i=1:words(samples)] word(samples, i) \
+            u (\$1/c):(-2.0*\$4/U0/U0) \
+            t word(models, i) w l lw 2
+PLT_X_VS_CF
+}
+
+
+#------------------------------------------------------------------------------
+
+# Requires gnuplot
+command -v gnuplot >/dev/null || {
+    echo "gnuplot not found - skipping graph creation" 1>&2
+    exit 1
+}
+
+# Requires awk
+command -v awk >/dev/null || {
+    echo "awk not found - skipping graph creation" 1>&2
+    exit 1
+}
+
+# Check "results" directory
+[ -d "results" ] || {
+    echo "No results directory found - skipping graph creation" 1>&2
+    exit 1
+}
+
+
+#------------------------------------------------------------------------------
+
+dirPlots="plots"
+[ -d "$dirPlots" ] || mkdir -p "$dirPlots"
+
+plot_u_R_all_setups $setups
+
+plot_cf_all_setups $setups
+
+
+#------------------------------------------------------------------------------

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/resources/dataset/exp_cf.dat

@@ -0,0 +1,140 @@
+# NASA wall-mounted hump experimental data
+# Baseline CFD Test Case: Centerspan Mean Cf		                                  
+# value range = Cf +- Uncertainty(C_f)
+# variables="x","cf","Uncertainty(C_f)"
+# zone, t="hump exp data"
+   -0.0700    0.00123    0.00009 
+   -0.0600    0.00106    0.00004 
+   -0.0500    0.00096    0.00003 
+   -0.0400    0.00085    0.00003 
+   -0.0300    0.00072    0.00002 
+   -0.0200    0.00056    0.00003 
+   -0.0100    0.00044    0.00003 
+    0.0000    0.00035    0.00002 
+    0.0100    0.00055    0.00008 
+    0.0200    0.00078    0.00007 
+    0.0300    0.00106    0.00014 
+    0.0700    0.00351    0.00054 
+    0.0800    0.00393    0.00037 
+    0.0900    0.00447    0.00044 
+    0.1000    0.00483    0.00026 
+    0.1100    0.00444    0.00026 
+    0.1200    0.00435    0.00044 
+    0.1300    0.00444    0.00032 
+    0.1400    0.00443    0.00026 
+    0.1500    0.00468    0.00029 
+    0.1600    0.00499    0.00030 
+    0.1700    0.00483    0.00029 
+    0.1800    0.00470    0.00029 
+    0.1900    0.00466    0.00030 
+    0.2000    0.00467    0.00033 
+    0.2100    0.00484    0.00107 
+    0.3000    0.00610    0.00055 
+    0.3100    0.00621    0.00039 
+    0.3200    0.00614    0.00023 
+    0.3300    0.00619    0.00024 
+    0.3400    0.00618    0.00019 
+    0.3500    0.00624    0.00017 
+    0.3600    0.00622    0.00019 
+    0.3700    0.00628    0.00018 
+    0.3800    0.00627    0.00025 
+    0.3900    0.00659    0.00034 
+    0.4000    0.00662    0.00029 
+    0.4100    0.00653    0.00028 
+    0.4200    0.00647    0.00025 
+    0.4300    0.00653    0.00033 
+    0.4400    0.00655    0.00025 
+    0.4500    0.00653    0.00020 
+    0.4600    0.00650    0.00018 
+    0.4700    0.00658    0.00017 
+    0.4800    0.00653    0.00017 
+    0.4900    0.00616    0.00013 
+    0.5000    0.00618    0.00014 
+    0.5100    0.00624    0.00013 
+    0.5200    0.00627    0.00021 
+    0.5300    0.00634    0.00018 
+    0.5400    0.00633    0.00016 
+    0.5500    0.00634    0.00015 
+    0.5600    0.00629    0.00020 
+    0.5700    0.00620    0.00026 
+    0.5900    0.00557    0.00023 
+    0.6000    0.00536    0.00015 
+    0.6100    0.00521    0.00022 
+    0.6200    0.00505    0.00030 
+    0.7500   -0.00016    0.00001 
+    0.7600   -0.00016    0.00001 
+    0.7800   -0.00022    0.00001 
+    0.7900   -0.00025    0.00001 
+    0.8000   -0.00033    0.00001 
+    0.8100   -0.00038    0.00001 
+    0.8200   -0.00046    0.00001 
+    0.8300   -0.00055    0.00001 
+    0.8400   -0.00063    0.00002 
+    0.8500   -0.00071    0.00003 
+    0.8600   -0.00078    0.00002 
+    0.8700   -0.00089    0.00002 
+    0.8800   -0.00099    0.00002 
+    0.8900   -0.00108    0.00003 
+    0.9000   -0.00123    0.00003 
+    0.9100   -0.00129    0.00003 
+    0.9200   -0.00136    0.00003 
+    0.9300   -0.00139    0.00003 
+    0.9400   -0.00138    0.00003 
+    0.9500   -0.00144    0.00005 
+    0.9600   -0.00144    0.00004 
+    0.9700   -0.00146    0.00004 
+    0.9800   -0.00146    0.00004 
+    0.9900   -0.00140    0.00004 
+    1.0000   -0.00135    0.00004 
+    1.0100   -0.00125    0.00004 
+    1.0200   -0.00118    0.00004 
+    1.0300   -0.00109    0.00004 
+    1.0400   -0.00096    0.00005 
+    1.0500   -0.00083    0.00003 
+    1.0600   -0.00073    0.00003 
+    1.0700   -0.00061    0.00003 
+    1.0800   -0.00048    0.00004 
+    1.0900   -0.00038    0.00004 
+    1.1500    0.00049    0.00004 
+    1.1600    0.00061    0.00004 
+    1.1700    0.00073    0.00003 
+    1.1800    0.00074    0.00003 
+    1.1900    0.00081    0.00003 
+    1.2000    0.00090    0.00003 
+    1.2100    0.00098    0.00003 
+    1.2200    0.00104    0.00003 
+    1.2300    0.00113    0.00003 
+    1.2400    0.00119    0.00003 
+    1.2500    0.00127    0.00003 
+    1.2600    0.00136    0.00003 
+    1.2700    0.00139    0.00004 
+    1.2800    0.00144    0.00004 
+    1.2900    0.00151    0.00005 
+    1.3000    0.00151    0.00005 
+    1.3100    0.00157    0.00005 
+    1.3200    0.00159    0.00005 
+    1.3300    0.00165    0.00004 
+    1.3400    0.00169    0.00004 
+    1.3500    0.00174    0.00004 
+    1.3600    0.00178    0.00004 
+    1.3700    0.00183    0.00005 
+    1.3800    0.00187    0.00004 
+    1.3900    0.00191    0.00004 
+    1.4000    0.00195    0.00004 
+    1.4100    0.00197    0.00003 
+    1.4200    0.00198    0.00004 
+    1.4300    0.00202    0.00004 
+    1.4400    0.00207    0.00004 
+    1.4500    0.00208    0.00005 
+    1.4600    0.00212    0.00005 
+    1.4700    0.00211    0.00005 
+    1.4800    0.00214    0.00004 
+    1.4900    0.00216    0.00004 
+    1.5000    0.00218    0.00004 
+    1.5100    0.00219    0.00004 
+    1.5200    0.00222    0.00004 
+    1.5300    0.00225    0.00005 
+    1.5400    0.00224    0.00004 
+    1.5500    0.00223    0.00005 
+    1.5600    0.00228    0.00006 
+    1.5700    0.00223    0.00010 

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/resources/dataset/exp_vel_and_turb_xbyc0.65.dat

@@ -0,0 +1,53 @@
+#NASA wall-mounted hump experimental data
+# variables="x/c","y/c","u/Uinf","v/Uinf","uu/Uinf^2","vv/Uinf^2","uv/Uinf^2"
+# zone t="exp, x/c=0.65"
+ 6.498178244E-01 1.579424441E-01 1.157422185E+00 -1.174861267E-01 2.963426756E-03 1.382058603E-03 -7.924744859E-04
+ 6.498178244E-01 1.570634395E-01 1.154541373E+00 -1.177933291E-01 3.016612493E-03 1.349549508E-03 -8.270181133E-04
+ 6.498178244E-01 1.562643498E-01 1.152262688E+00 -1.184995323E-01 3.073446685E-03 1.329321181E-03 -8.230066742E-04
+ 6.498178244E-01 1.553853601E-01 1.149556756E+00 -1.193990707E-01 3.148945281E-03 1.313573914E-03 -7.725568721E-04
+ 6.498178244E-01 1.545862705E-01 1.146937847E+00 -1.201944277E-01 3.224254120E-03 1.329997554E-03 -7.444764487E-04
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tutorials/incompressible/pimpleFoam/LES/wallMountedHump/resources/dataset/exp_vel_and_turb_xbyc0.66.dat

@@ -0,0 +1,53 @@
+#NASA wall-mounted hump experimental data
+# variables="x/c","y/c","u/Uinf","v/Uinf","uu/Uinf^2","vv/Uinf^2","uv/Uinf^2"
+# zone t="exp, x/c=0.66"
+ 6.597265601E-01 1.579424441E-01 1.145505905E+00 -1.203291565E-01 3.082062816E-03 1.243700506E-03 -6.064974004E-04
+ 6.597265601E-01 1.569835395E-01 1.143181562E+00 -1.210097075E-01 3.081237897E-03 1.238749712E-03 -6.765827420E-04
+ 6.597265601E-01 1.561045349E-01 1.140479326E+00 -1.214799732E-01 3.089172067E-03 1.254524803E-03 -7.115102489E-04
+ 6.597265601E-01 1.552255452E-01 1.137611628E+00 -1.219758019E-01 3.139638575E-03 1.299523865E-03 -7.591869798E-04
+ 6.597265601E-01 1.542666256E-01 1.134880543E+00 -1.225446314E-01 3.269853070E-03 1.332136337E-03 -7.627691375E-04
+ 6.597265601E-01 1.533876359E-01 1.132245898E+00 -1.225368157E-01 3.353286069E-03 1.330800354E-03 -7.744981558E-04
+ 6.597265601E-01 1.525086313E-01 1.129476070E+00 -1.224985048E-01 3.378276713E-03 1.317918533E-03 -8.038129890E-04
+ 6.597265601E-01 1.516296417E-01 1.126975656E+00 -1.231350228E-01 3.384805750E-03 1.320427167E-03 -8.500666008E-04
+ 6.598064303E-01 1.506707370E-01 1.124861002E+00 -1.245921478E-01 3.399332520E-03 1.333695953E-03 -8.487470332E-04
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+ 6.599662900E-01 1.219035238E-01 9.706647396E-01 -1.715517044E-01 7.736001164E-03 1.287065912E-03 -1.911867876E-03
+ 6.599662900E-01 1.209446192E-01 9.404744506E-01 -1.709372848E-01 8.592188358E-03 1.386430347E-03 -2.239122288E-03
+ 6.599662900E-01 1.200656220E-01 9.051048160E-01 -1.687899083E-01 9.353005327E-03 1.500426792E-03 -2.472863998E-03
+ 6.599662900E-01 1.191866249E-01 8.634092808E-01 -1.659271717E-01 9.873121046E-03 1.582494471E-03 -2.654740587E-03
+ 6.599662900E-01 1.183076277E-01 8.149395585E-01 -1.616900563E-01 1.003905293E-02 1.602779026E-03 -2.728138817E-03
+ 6.599662900E-01 1.173487157E-01 7.517389655E-01 -1.553993374E-01 9.960605763E-03 1.601231867E-03 -2.726015635E-03
+ 6.599662900E-01 1.164697185E-01 6.795890927E-01 -1.473491043E-01 1.017239504E-02 1.531918533E-03 -2.777522430E-03
+ 6.599662900E-01 1.155907214E-01 5.761821866E-01 -1.338756084E-01 1.031220146E-02 1.533386647E-03 -2.938376507E-03
+ 6.599662900E-01 1.146318167E-01 4.670067728E-01 -1.137163863E-01 1.303494908E-02 1.874316484E-03 -3.895130241E-03
+ 6.600461602E-01 1.137528196E-01 3.920281827E-01 -9.254670888E-02 1.818214916E-02 2.144786296E-03 -5.355103407E-03

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/resources/dataset/exp_vel_and_turb_xbyc0.80.dat

@@ -0,0 +1,59 @@
+#NASA wall-mounted hump experimental data
+# variables="x/c","y/c","u/Uinf","v/Uinf","uu/Uinf^2","vv/Uinf^2","uv/Uinf^2"
+# zone t="exp, x/c=0.8"
+ 8.005902767E-01 1.616123021E-01 1.121470451E+00 -7.490867376E-02 1.303087338E-03 1.815097407E-03 -4.084884422E-04
+ 8.005902767E-01 1.591318399E-01 1.118781924E+00 -7.577054948E-02 1.334464876E-03 1.961446367E-03 -5.109960330E-04
+ 8.005902767E-01 1.566513628E-01 1.114044905E+00 -7.718858868E-02 1.416650251E-03 2.120178659E-03 -6.247126730E-04
+ 8.005902767E-01 1.541708857E-01 1.109796882E+00 -7.939794660E-02 1.481487881E-03 2.241280163E-03 -6.890632794E-04
+ 8.005902767E-01 1.516904235E-01 1.106649160E+00 -8.182265610E-02 1.556556323E-03 2.356039127E-03 -7.193073398E-04
+ 8.005902767E-01 1.492099464E-01 1.102667212E+00 -8.445422351E-02 1.671347185E-03 2.530284924E-03 -7.642512210E-04
+ 8.005902767E-01 1.467294693E-01 1.098232508E+00 -8.699546009E-02 1.770389965E-03 2.741419710E-03 -8.016488864E-04
+ 8.005902767E-01 1.444398016E-01 1.094539404E+00 -8.845433593E-02 1.876188675E-03 2.975091804E-03 -8.047596202E-04
+ 8.005902767E-01 1.419593394E-01 1.091236949E+00 -8.737003058E-02 2.090033842E-03 3.265882609E-03 -8.258419693E-04
+ 8.005902767E-01 1.394788623E-01 1.085883975E+00 -8.624641597E-02 2.439148491E-03 3.543233266E-03 -9.291673778E-04
+ 8.005902767E-01 1.369983852E-01 1.080046177E+00 -8.504381776E-02 2.843731083E-03 3.710430348E-03 -1.085311058E-03
+ 8.005902767E-01 1.345179081E-01 1.073895216E+00 -8.440691233E-02 3.254766343E-03 3.826464526E-03 -1.211872208E-03
+ 8.005902767E-01 1.320374459E-01 1.068011403E+00 -8.374771476E-02 3.708019154E-03 4.021713044E-03 -1.267575775E-03
+ 8.005902767E-01 1.295569688E-01 1.060120702E+00 -8.364355564E-02 4.287549760E-03 4.298174288E-03 -1.284118276E-03
+ 8.005902767E-01 1.270765066E-01 1.050232887E+00 -8.409471065E-02 5.112478510E-03 4.600455519E-03 -1.413590508E-03
+ 8.005902767E-01 1.247868314E-01 1.039624095E+00 -8.413280547E-02 6.318210624E-03 5.061702803E-03 -1.867426326E-03
+ 8.005902767E-01 1.223063618E-01 1.025800705E+00 -8.351314813E-02 8.085642941E-03 5.875509698E-03 -2.793460386E-03
+ 8.005902767E-01 1.198258922E-01 1.008460641E+00 -8.298997581E-02 1.077098772E-02 6.944452412E-03 -4.143089987E-03
+ 8.005902767E-01 1.173454225E-01 9.853499532E-01 -8.393922448E-02 1.480326150E-02 7.953774184E-03 -5.740308668E-03
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tutorials/incompressible/pimpleFoam/LES/wallMountedHump/resources/dataset/exp_vel_and_turb_xbyc0.90.dat

@@ -0,0 +1,67 @@
+#NASA wall-mounted hump experimental data
+# variables="x/c","y/c","u/Uinf","v/Uinf","uu/Uinf^2","vv/Uinf^2","uv/Uinf^2"
+# zone t="exp, x/c=0.9"
+ 8.994275928E-01 1.616123021E-01 1.120033979E+00 -1.261594743E-01 8.855023771E-04 2.504986012E-03 -3.570032277E-05
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+ 8.994275928E-01 1.411961112E-02 -2.424381226E-01 3.160254285E-02 1.774391904E-02 8.998955600E-03 -3.557340708E-03
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+ 8.994275928E-01 9.158667177E-03 -2.442996055E-01 2.957641706E-02 1.531316619E-02 4.698703066E-03 -1.946946955E-03
+ 8.994275928E-01 6.678195205E-03 -2.086922526E-01 3.111872636E-02 1.243841927E-02 3.889505286E-03 -1.690689591E-03

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/resources/dataset/exp_vel_and_turb_xbyc1.00.dat

@@ -0,0 +1,70 @@
+#NASA wall-mounted hump experimental data
+# variables="x/c","y/c","u/Uinf","v/Uinf","uu/Uinf^2","vv/Uinf^2","uv/Uinf^2"
+# zone t="exp, x/c=1.0"
+ 9.987713695E-01 1.650467962E-01 1.115419388E+00 -1.437979788E-01 9.136397857E-04 1.504267566E-03 -1.515294425E-04
+ 9.987713695E-01 1.625663340E-01 1.113825560E+00 -1.445009559E-01 8.623558679E-04 1.492856420E-03 -1.641977724E-04
+ 9.987713695E-01 1.600858569E-01 1.113191366E+00 -1.450513303E-01 8.472026093E-04 1.512360992E-03 -1.731648226E-04
+ 9.987713695E-01 1.577961892E-01 1.113211751E+00 -1.453224868E-01 8.562072180E-04 1.549560693E-03 -1.790495880E-04
+ 9.987713695E-01 1.553157270E-01 1.112359762E+00 -1.444649696E-01 8.587039192E-04 1.601226279E-03 -2.017140505E-04
+ 9.987713695E-01 1.528352499E-01 1.110478759E+00 -1.445749402E-01 9.004176827E-04 1.691169920E-03 -2.507901809E-04
+ 9.987713695E-01 1.503547728E-01 1.108097434E+00 -1.454304308E-01 1.035180758E-03 1.795412390E-03 -3.047353821E-04
+ 9.987713695E-01 1.478743106E-01 1.105649710E+00 -1.461204290E-01 1.306342427E-03 1.902761520E-03 -3.585193190E-04
+ 9.987713695E-01 1.453938335E-01 1.100740552E+00 -1.460320503E-01 1.697509200E-03 2.063477878E-03 -4.523798125E-04
+ 9.987713695E-01 1.429133713E-01 1.094876766E+00 -1.456575245E-01 2.100739162E-03 2.305189846E-03 -5.797437625E-04
+ 9.987713695E-01 1.406236887E-01 1.088848829E+00 -1.452273130E-01 2.428917680E-03 2.588370815E-03 -7.139087538E-04
+ 9.987713695E-01 1.381432265E-01 1.082609534E+00 -1.449867636E-01 2.770146122E-03 2.901228610E-03 -9.166151285E-04
+ 9.987713695E-01 1.356627494E-01 1.076179981E+00 -1.457010955E-01 3.304348560E-03 3.260702826E-03 -1.214028103E-03
+ 9.987713695E-01 1.331822872E-01 1.068459392E+00 -1.467544287E-01 4.014363047E-03 3.661449533E-03 -1.523364452E-03
+ 9.987713695E-01 1.307017952E-01 1.060469627E+00 -1.478898376E-01 4.770395812E-03 4.153805785E-03 -1.842915663E-03
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tutorials/incompressible/pimpleFoam/LES/wallMountedHump/resources/dataset/exp_vel_and_turb_xbyc1.10.dat

@@ -0,0 +1,70 @@
+#NASA wall-mounted hump experimental data
+# variables="x/c","y/c","u/Uinf","v/Uinf","uu/Uinf^2","vv/Uinf^2","uv/Uinf^2"
+# zone t="exp, x/c=1.1"
+ 1.099707484E+00 1.650467962E-01 1.084640265E+00 -1.300181299E-01 7.250818890E-04 1.261308440E-03 6.919709995E-05
+ 1.099707484E+00 1.625663340E-01 1.084919691E+00 -1.322703660E-01 6.967606605E-04 1.251222100E-03 4.175966387E-05
+ 1.099707484E+00 1.600858569E-01 1.084738493E+00 -1.318854392E-01 6.779177347E-04 1.259960234E-03 1.858899304E-05
+ 1.099707484E+00 1.577961892E-01 1.083399653E+00 -1.306033581E-01 7.118580979E-04 1.310289372E-03 -1.124327582E-06
+ 1.099707484E+00 1.553157270E-01 1.081502914E+00 -1.301895976E-01 7.941294461E-04 1.394656487E-03 -4.072722368E-05
+ 1.099707484E+00 1.528352499E-01 1.079902172E+00 -1.305407435E-01 9.026821353E-04 1.477150945E-03 -1.104564217E-04
+ 1.099707484E+00 1.503547728E-01 1.077853799E+00 -1.316351742E-01 1.060960931E-03 1.538476092E-03 -1.958618668E-04
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+ 1.099707484E+00 1.453938335E-01 1.069460034E+00 -1.332454383E-01 1.576715731E-03 1.763943001E-03 -3.907698265E-04
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+ 1.099707484E+00 1.406236887E-01 1.061381340E+00 -1.332623661E-01 2.221466741E-03 2.158245305E-03 -6.535993889E-04
+ 1.099707484E+00 1.381432265E-01 1.055228472E+00 -1.340874583E-01 2.562930575E-03 2.379368758E-03 -7.568136207E-04
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+ 1.099707484E+00 1.331822872E-01 1.041480303E+00 -1.354981214E-01 3.462038701E-03 3.102007322E-03 -9.606368258E-04
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+ 1.099707484E+00 1.160097793E-01 9.734282494E-01 -1.475249976E-01 7.758488879E-03 5.767374299E-03 -1.910332008E-03
+ 1.099707484E+00 1.135293022E-01 9.614465833E-01 -1.483839601E-01 8.793211542E-03 6.182906218E-03 -2.375381766E-03
+ 1.099707484E+00 1.110488325E-01 9.485991001E-01 -1.487458944E-01 1.035698783E-02 6.705481093E-03 -3.013876965E-03
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+ 1.099707484E+00 9.635680914E-02 8.494573236E-01 -1.518723518E-01 2.201423049E-02 1.139499247E-02 -6.501256954E-03
+ 1.099707484E+00 9.387633204E-02 8.286986947E-01 -1.512451321E-01 2.381985262E-02 1.203707140E-02 -7.270168513E-03
+ 1.099707484E+00 9.139586240E-02 8.090040684E-01 -1.505756676E-01 2.570568025E-02 1.293685939E-02 -8.346606046E-03
+ 1.099707484E+00 8.891538531E-02 7.888208628E-01 -1.505248249E-01 2.789909951E-02 1.441242825E-02 -9.714624844E-03
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+ 1.099707484E+00 8.414524794E-02 7.480668426E-01 -1.501975954E-01 3.384761885E-02 1.781320386E-02 -1.240261551E-02
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+ 1.099707484E+00 7.670383155E-02 6.685619950E-01 -1.442751437E-01 4.414094612E-02 2.204731479E-02 -1.692946069E-02
+ 1.099707484E+00 7.422336191E-02 6.425257921E-01 -1.420938522E-01 4.764521495E-02 2.288685925E-02 -1.829955913E-02
+ 1.099707484E+00 7.174289227E-02 6.167863607E-01 -1.419761032E-01 5.063270405E-02 2.339247428E-02 -1.929845475E-02
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+ 1.099707484E+00 6.697274745E-02 5.660642982E-01 -1.385198236E-01 5.275905505E-02 2.537265606E-02 -2.076303400E-02
+ 1.099707484E+00 6.449227780E-02 5.369784236E-01 -1.354607195E-01 5.275826529E-02 2.737832069E-02 -2.179890312E-02
+ 1.099707484E+00 6.201180443E-02 5.075975060E-01 -1.317515969E-01 5.367829278E-02 2.904713713E-02 -2.310108952E-02
+ 1.099707484E+00 5.953133479E-02 4.794768393E-01 -1.273694187E-01 5.543290079E-02 2.978728712E-02 -2.453629114E-02
+ 1.099707484E+00 5.705085769E-02 4.524712861E-01 -1.238950863E-01 5.694608018E-02 3.034519404E-02 -2.598842606E-02
+ 1.099707484E+00 5.457038805E-02 4.232798219E-01 -1.212258413E-01 5.741186440E-02 3.124652430E-02 -2.704272978E-02
+ 1.099707484E+00 5.228072032E-02 3.978662193E-01 -1.197198480E-01 5.722360685E-02 3.195999563E-02 -2.732461505E-02
+ 1.099707484E+00 4.980025068E-02 3.723353446E-01 -1.176214516E-01 5.735791475E-02 3.220910951E-02 -2.707675099E-02
+ 1.099707484E+00 4.731977731E-02 3.459910154E-01 -1.123326570E-01 5.780768394E-02 3.232093528E-02 -2.670663595E-02
+ 1.099707484E+00 4.483930394E-02 3.175250292E-01 -1.045298204E-01 5.744685605E-02 3.234222159E-02 -2.619576827E-02
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+ 1.099707484E+00 3.510821983E-02 2.108602524E-01 -7.515826821E-02 4.699485004E-02 3.059804812E-02 -2.234549820E-02
+ 1.099707484E+00 3.262775019E-02 1.912062764E-01 -7.083731145E-02 4.452740401E-02 2.932279743E-02 -2.084770985E-02
+ 1.099707484E+00 3.014727682E-02 1.729715317E-01 -6.627029181E-02 4.171586409E-02 2.797587961E-02 -1.901268214E-02
+ 1.099707484E+00 2.766680531E-02 1.547606736E-01 -6.056303158E-02 3.911200166E-02 2.714543417E-02 -1.729378477E-02
+ 1.099707484E+00 2.518633381E-02 1.338589936E-01 -5.510404706E-02 3.699081019E-02 2.678154223E-02 -1.585377939E-02
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+ 1.099707484E+00 1.545525063E-02 6.700482965E-02 -3.768349811E-02 2.664640360E-02 2.056337520E-02 -9.528450668E-03
+ 1.099707484E+00 1.297477912E-02 5.302988365E-02 -3.703051805E-02 2.567648143E-02 1.822775230E-02 -7.625737227E-03
+ 1.099707484E+00 1.049430668E-02 4.260994121E-02 -3.506286442E-02 2.543523908E-02 1.551456749E-02 -6.131417118E-03
+ 1.099707484E+00 8.013833314E-03 3.067187779E-02 -2.781572193E-02 2.477527037E-02 1.214261074E-02 -4.793464672E-03
+ 1.099707484E+00 5.533361807E-03 1.736395992E-02 -2.086124383E-02 2.343387716E-02 8.169494569E-03 -3.367007012E-03
+ 1.099707484E+00 3.052887972E-03 1.902861288E-03 -1.573702320E-02 2.205918729E-02 4.950916395E-03 -2.236732049E-03

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/resources/dataset/exp_vel_and_turb_xbyc1.20.dat

@@ -0,0 +1,72 @@
+#NASA wall-mounted hump experimental data
+# variables="x/c","y/c","u/Uinf","v/Uinf","uu/Uinf^2","vv/Uinf^2","uv/Uinf^2"
+# zone t="exp, x/c=1.2"
+ 1.200971961E+00 1.656192243E-01 1.076534510E+00 -1.042963862E-01 1.203382155E-03 1.747523434E-03 -4.920152714E-04
+ 1.200971961E+00 1.633295566E-01 1.078633189E+00 -1.057982892E-01 1.125344075E-03 1.779402839E-03 -5.133157247E-04
+ 1.200971961E+00 1.608490944E-01 1.077512860E+00 -1.061800867E-01 1.053999527E-03 1.896218513E-03 -5.440124660E-04
+ 1.200971961E+00 1.585594118E-01 1.075299621E+00 -1.056048274E-01 1.083143405E-03 2.099200618E-03 -6.273873150E-04
+ 1.200971961E+00 1.560789347E-01 1.073233485E+00 -1.059930623E-01 1.247902517E-03 2.342531458E-03 -7.972359890E-04
+ 1.200971961E+00 1.537892818E-01 1.071204185E+00 -1.072265059E-01 1.487789443E-03 2.584115835E-03 -1.012512948E-03
+ 1.200971961E+00 1.513088048E-01 1.068356872E+00 -1.090100855E-01 1.697868225E-03 2.811886370E-03 -1.183325541E-03
+ 1.200971961E+00 1.490191370E-01 1.065318704E+00 -1.100358963E-01 1.826185267E-03 3.056871239E-03 -1.267235843E-03
+ 1.200971961E+00 1.465386748E-01 1.061355114E+00 -1.101821065E-01 1.906202058E-03 3.379320260E-03 -1.326596248E-03
+ 1.200971961E+00 1.442489922E-01 1.057388663E+00 -1.093525141E-01 2.008125186E-03 3.766436363E-03 -1.419063425E-03
+ 1.200971961E+00 1.417685300E-01 1.054006219E+00 -1.091369390E-01 2.173042158E-03 4.062744323E-03 -1.504103071E-03
+ 1.200971961E+00 1.394788623E-01 1.050877929E+00 -1.103506982E-01 2.389495261E-03 4.152588546E-03 -1.527759945E-03
+ 1.200971961E+00 1.369983852E-01 1.046330094E+00 -1.120411232E-01 2.612266457E-03 4.150887951E-03 -1.503831474E-03
+ 1.200971961E+00 1.347087175E-01 1.040871143E+00 -1.131562665E-01 2.842595801E-03 4.204622470E-03 -1.489170245E-03
+ 1.200971961E+00 1.322282553E-01 1.034515262E+00 -1.144245937E-01 3.155430313E-03 4.289583303E-03 -1.522400533E-03
+ 1.200971961E+00 1.299385726E-01 1.028360486E+00 -1.152864769E-01 3.576392541E-03 4.374773707E-03 -1.583558624E-03
+ 1.200971961E+00 1.274581105E-01 1.021001339E+00 -1.149917096E-01 4.105157219E-03 4.572180100E-03 -1.682167756E-03
+ 1.200971961E+00 1.251684427E-01 1.013682365E+00 -1.138041317E-01 4.790744279E-03 5.005516578E-03 -1.894582063E-03
+ 1.200971961E+00 1.226879731E-01 1.004373670E+00 -1.135085598E-01 5.572220776E-03 5.623997655E-03 -2.208440099E-03
+ 1.200971961E+00 1.203983054E-01 9.943575263E-01 -1.146527976E-01 6.305286195E-03 6.232929416E-03 -2.502467483E-03
+ 1.200971961E+00 1.179178357E-01 9.824302793E-01 -1.168540195E-01 7.051667664E-03 6.672709249E-03 -2.700432669E-03
+ 1.200971961E+00 1.156281680E-01 9.718243480E-01 -1.188031808E-01 7.995230146E-03 6.910146214E-03 -2.772357780E-03
+ 1.200971961E+00 1.131476909E-01 9.597131014E-01 -1.203753203E-01 9.173142724E-03 7.049103733E-03 -2.769895596E-03
+ 1.200971961E+00 1.108580306E-01 9.486503601E-01 -1.205153167E-01 1.064587943E-02 7.318376563E-03 -2.944847103E-03
+ 1.200971961E+00 1.083775535E-01 9.364444613E-01 -1.199582443E-01 1.255844254E-02 7.932521403E-03 -3.587391926E-03
+ 1.200971961E+00 1.060878858E-01 9.240934253E-01 -1.185858324E-01 1.490943413E-02 8.900982328E-03 -4.682679195E-03
+ 1.200971961E+00 1.036074162E-01 9.089708924E-01 -1.187579483E-01 1.750043593E-02 9.997487068E-03 -5.906816106E-03
+ 1.200971961E+00 1.013177484E-01 8.941108584E-01 -1.187664121E-01 2.020177990E-02 1.087588910E-02 -7.009163033E-03
+ 1.200971961E+00 9.883727878E-02 8.787710667E-01 -1.192951202E-01 2.311569266E-02 1.137247030E-02 -7.954811677E-03
+ 1.200971961E+00 9.654761106E-02 8.644430637E-01 -1.202046499E-01 2.615384758E-02 1.159475185E-02 -8.752333000E-03
+ 1.200971961E+00 9.406713396E-02 8.489650488E-01 -1.207911894E-01 2.881975099E-02 1.172256749E-02 -9.381093085E-03
+ 1.200971961E+00 9.177747369E-02 8.337851763E-01 -1.199101955E-01 3.073405661E-02 1.211363450E-02 -9.923271835E-03
+ 1.200971961E+00 8.929700404E-02 8.171292543E-01 -1.179984137E-01 3.213882819E-02 1.309842803E-02 -1.050553098E-02
+ 1.200971961E+00 8.700732887E-02 8.010106087E-01 -1.161469892E-01 3.370372206E-02 1.460933685E-02 -1.124277990E-02
+ 1.200971961E+00 8.452685922E-02 7.808996439E-01 -1.134317592E-01 3.583770245E-02 1.625584066E-02 -1.223637257E-02
+ 1.200971961E+00 8.223719895E-02 7.596666813E-01 -1.122401133E-01 3.812495247E-02 1.765974239E-02 -1.333372388E-02
+ 1.200971961E+00 7.975672185E-02 7.363548875E-01 -1.115407199E-01 3.956643119E-02 1.867060177E-02 -1.415939536E-02
+ 1.200971961E+00 7.727624476E-02 7.153179646E-01 -1.114889607E-01 3.985138610E-02 1.923727617E-02 -1.456227619E-02
+ 1.200971961E+00 7.498658448E-02 6.970809698E-01 -1.110691875E-01 3.997369111E-02 1.945539191E-02 -1.479617786E-02
+ 1.200971961E+00 7.250610739E-02 6.774325371E-01 -1.105032340E-01 4.079477862E-02 1.953741908E-02 -1.508961897E-02
+ 1.200971961E+00 7.021643966E-02 6.574308276E-01 -1.081579179E-01 4.232939333E-02 1.979475468E-02 -1.560267899E-02
+ 1.200971961E+00 6.773597002E-02 6.350581646E-01 -1.045126840E-01 4.428893700E-02 2.058673091E-02 -1.646905020E-02
+ 1.200971961E+00 6.544630229E-02 6.140822768E-01 -1.010235250E-01 4.612068459E-02 2.188410982E-02 -1.751553640E-02
+ 1.200971961E+00 6.296583265E-02 5.932688117E-01 -9.793451428E-02 4.738476872E-02 2.328133956E-02 -1.839291863E-02
+ 1.200971961E+00 6.067616493E-02 5.743138194E-01 -9.503835440E-02 4.803976417E-02 2.447143570E-02 -1.885855012E-02
+ 1.200971961E+00 5.819569528E-02 5.550708175E-01 -9.315332025E-02 4.822205752E-02 2.540447004E-02 -1.896053925E-02
+ 1.200971961E+00 5.590602756E-02 5.372273922E-01 -9.339234233E-02 4.825596139E-02 2.620172873E-02 -1.899536140E-02
+ 1.200971961E+00 5.342555791E-02 5.176381469E-01 -9.328525513E-02 4.846328124E-02 2.697069943E-02 -1.922572963E-02
+ 1.200971961E+00 5.113589019E-02 4.991775453E-01 -9.137875587E-02 4.869274050E-02 2.767603472E-02 -1.962775737E-02
+ 1.200971961E+00 4.865541309E-02 4.796117544E-01 -8.813627064E-02 4.871912673E-02 2.836243436E-02 -2.000640891E-02
+ 1.200971961E+00 4.636575282E-02 4.640870392E-01 -8.499269187E-02 4.843723401E-02 2.909401059E-02 -2.030505426E-02
+ 1.200971961E+00 4.388527572E-02 4.481661022E-01 -8.119797707E-02 4.742815718E-02 2.970814891E-02 -2.060197107E-02
+ 1.200971961E+00 4.159560800E-02 4.330720603E-01 -7.821294665E-02 4.556578770E-02 3.001247346E-02 -2.093221061E-02
+ 1.200971961E+00 3.911513835E-02 4.145737290E-01 -7.648210973E-02 4.367527738E-02 2.984535322E-02 -2.112189867E-02
+ 1.200971961E+00 3.682547435E-02 3.988250494E-01 -7.488285750E-02 4.246452078E-02 2.920591272E-02 -2.089859173E-02
+ 1.200971961E+00 3.434500098E-02 3.837355971E-01 -7.178280503E-02 4.155274853E-02 2.846455202E-02 -2.025655471E-02
+ 1.200971961E+00 3.205533326E-02 3.700468242E-01 -6.849476695E-02 4.024291411E-02 2.788158506E-02 -1.932037622E-02
+ 1.200971961E+00 2.957486175E-02 3.534915745E-01 -6.503615528E-02 3.833109885E-02 2.735772543E-02 -1.808040217E-02
+ 1.200971961E+00 2.728519402E-02 3.385189474E-01 -6.238476932E-02 3.595562652E-02 2.664151229E-02 -1.659560017E-02
+ 1.200971961E+00 2.480472066E-02 3.232248724E-01 -5.760713667E-02 3.355545923E-02 2.558347397E-02 -1.516068261E-02
+ 1.200971961E+00 2.251505665E-02 3.093681931E-01 -5.092086643E-02 3.176390752E-02 2.415685542E-02 -1.377700921E-02
+ 1.200971961E+00 2.003458329E-02 2.928625047E-01 -4.267994314E-02 3.069361672E-02 2.248256281E-02 -1.215133723E-02
+ 1.200971961E+00 1.774491742E-02 2.803453207E-01 -3.681528941E-02 2.997711115E-02 2.082849294E-02 -1.047453657E-02
+ 1.200971961E+00 1.526444498E-02 2.686727047E-01 -3.254826739E-02 2.899164893E-02 1.895180158E-02 -8.945573121E-03
+ 1.200971961E+00 1.297477912E-02 2.605186105E-01 -2.881338075E-02 2.761860751E-02 1.637075283E-02 -7.427261677E-03
+ 1.200971961E+00 1.049430668E-02 2.508267760E-01 -2.376101166E-02 2.664958499E-02 1.334520709E-02 -6.017532200E-03
+ 1.200971961E+00 8.204638027E-03 2.422104478E-01 -1.950534619E-02 2.638525330E-02 1.040410902E-02 -4.816144239E-03
+ 1.200971961E+00 5.724166520E-03 2.271409184E-01 -1.553647406E-02 2.604968846E-02 7.517257705E-03 -3.612534609E-03
+ 1.200971961E+00 3.434499959E-03 2.047449797E-01 -1.147210971E-02 2.536332235E-02 5.299417768E-03 -2.624052111E-03

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/resources/dataset/exp_vel_and_turb_xbyc1.30.dat

@@ -0,0 +1,72 @@
+#NASA wall-mounted hump experimental data
+# variables="x/c","y/c","u/Uinf","v/Uinf","uu/Uinf^2","vv/Uinf^2","uv/Uinf^2"
+# zone t="exp, x/c=1.3"
+ 1.299809217E+00 1.656192243E-01 1.085711598E+00 -5.397922173E-02 9.233052260E-04 1.587787759E-03 -3.466570633E-04
+ 1.299809217E+00 1.633295566E-01 1.085351706E+00 -5.340213701E-02 8.607545751E-04 1.622631098E-03 -3.863527090E-04
+ 1.299809217E+00 1.608490944E-01 1.084495068E+00 -5.330101401E-02 8.301738999E-04 1.688467572E-03 -4.254778032E-04
+ 1.299809217E+00 1.585594118E-01 1.083292603E+00 -5.321167782E-02 8.759757038E-04 1.813503564E-03 -4.589411838E-04
+ 1.299809217E+00 1.560789347E-01 1.082251072E+00 -5.329852551E-02 1.004463877E-03 2.012476092E-03 -4.894650774E-04
+ 1.299809217E+00 1.537892818E-01 1.079942465E+00 -5.442858487E-02 1.199512160E-03 2.269489458E-03 -5.328803672E-04
+ 1.299809217E+00 1.513088048E-01 1.077360749E+00 -5.597575381E-02 1.410194091E-03 2.561681671E-03 -6.160914199E-04
+ 1.299809217E+00 1.490191370E-01 1.075136065E+00 -5.778132752E-02 1.615930232E-03 2.845430048E-03 -7.156127831E-04
+ 1.299809217E+00 1.465386748E-01 1.073032260E+00 -5.902832747E-02 1.859418931E-03 3.069297178E-03 -8.243542979E-04
+ 1.299809217E+00 1.442489922E-01 1.069396973E+00 -6.023413315E-02 2.267949050E-03 3.244208870E-03 -9.808446048E-04
+ 1.299809217E+00 1.417685300E-01 1.064898968E+00 -6.115742400E-02 2.899478655E-03 3.443229711E-03 -1.166921691E-03
+ 1.299809217E+00 1.394788623E-01 1.059569240E+00 -6.299574673E-02 3.590124194E-03 3.721252084E-03 -1.294251415E-03
+ 1.299809217E+00 1.369983852E-01 1.052903771E+00 -6.476326287E-02 4.194909707E-03 4.078285303E-03 -1.324426965E-03
+ 1.299809217E+00 1.347087175E-01 1.045690536E+00 -6.649167836E-02 4.775993992E-03 4.508411977E-03 -1.351441722E-03
+ 1.299809217E+00 1.322282553E-01 1.038079619E+00 -6.809954345E-02 5.454523023E-03 4.995327443E-03 -1.489133458E-03
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+ 1.299809217E+00 1.274581105E-01 1.022581697E+00 -7.158444822E-02 7.272288669E-03 5.995522719E-03 -1.998720225E-03
+ 1.299809217E+00 1.251684427E-01 1.014811516E+00 -7.279985398E-02 8.359242231E-03 6.409699563E-03 -2.185600810E-03
+ 1.299809217E+00 1.226879731E-01 1.005406737E+00 -7.352457196E-02 9.610917419E-03 6.721671205E-03 -2.412997419E-03
+ 1.299809217E+00 1.203983054E-01 9.958277941E-01 -7.305451483E-02 1.113620400E-02 6.957948674E-03 -2.847864991E-03
+ 1.299809217E+00 1.179178357E-01 9.864760637E-01 -7.326101512E-02 1.271521393E-02 7.195255253E-03 -3.413841827E-03
+ 1.299809217E+00 1.156281680E-01 9.766553044E-01 -7.429124415E-02 1.386752352E-02 7.513634395E-03 -3.922462463E-03
+ 1.299809217E+00 1.131476909E-01 9.647002220E-01 -7.587283105E-02 1.450656913E-02 7.937225513E-03 -4.378377460E-03
+ 1.299809217E+00 1.108580306E-01 9.541177750E-01 -7.676263154E-02 1.484346204E-02 8.449912071E-03 -4.795028362E-03
+ 1.299809217E+00 1.083775535E-01 9.436941147E-01 -7.785060257E-02 1.505365316E-02 9.012199007E-03 -5.066700280E-03
+ 1.299809217E+00 1.060878858E-01 9.330260158E-01 -7.929652929E-02 1.537934039E-02 9.530029260E-03 -5.166191142E-03
+ 1.299809217E+00 1.036074162E-01 9.210929871E-01 -8.079630136E-02 1.589012891E-02 9.849601425E-03 -5.121920258E-03
+ 1.299809217E+00 1.013177484E-01 9.105898738E-01 -8.287563175E-02 1.651286893E-02 9.943293408E-03 -5.073885899E-03
+ 1.299809217E+00 9.883727878E-02 8.980455995E-01 -8.517701924E-02 1.743862033E-02 1.010140311E-02 -5.316898227E-03
+ 1.299809217E+00 9.654761106E-02 8.842561841E-01 -8.582237363E-02 1.912690327E-02 1.062331349E-02 -5.995978136E-03
+ 1.299809217E+00 9.406713396E-02 8.676561117E-01 -8.420468122E-02 2.159416862E-02 1.138559263E-02 -6.906741299E-03
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+ 1.299809217E+00 8.929700404E-02 8.369569778E-01 -8.291566372E-02 2.586477622E-02 1.255456731E-02 -8.398167789E-03
+ 1.299809217E+00 8.700732887E-02 8.219499588E-01 -8.233726025E-02 2.688116021E-02 1.320616435E-02 -9.022557177E-03
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+ 1.299809217E+00 7.975672185E-02 7.725581527E-01 -7.497520000E-02 2.989657037E-02 1.632293873E-02 -1.127998251E-02
+ 1.299809217E+00 7.727624476E-02 7.565847039E-01 -7.422072440E-02 3.108621761E-02 1.725215092E-02 -1.210038271E-02
+ 1.299809217E+00 7.498658448E-02 7.418005466E-01 -7.494202256E-02 3.191120178E-02 1.795910485E-02 -1.277326047E-02
+ 1.299809217E+00 7.250610739E-02 7.242900729E-01 -7.624254376E-02 3.326140717E-02 1.861994900E-02 -1.347364858E-02
+ 1.299809217E+00 7.021643966E-02 7.074243426E-01 -7.783658803E-02 3.544337302E-02 1.926640980E-02 -1.438498776E-02
+ 1.299809217E+00 6.773597002E-02 6.910562515E-01 -7.771817595E-02 3.758758679E-02 1.992990263E-02 -1.545060426E-02
+ 1.299809217E+00 6.544630229E-02 6.782407761E-01 -7.626063377E-02 3.883516416E-02 2.081421763E-02 -1.634565182E-02
+ 1.299809217E+00 6.296583265E-02 6.649182439E-01 -7.516156137E-02 3.907935321E-02 2.185843326E-02 -1.693315431E-02
+ 1.299809217E+00 6.067616493E-02 6.505064368E-01 -7.482965291E-02 3.875199705E-02 2.271576039E-02 -1.729865186E-02
+ 1.299809217E+00 5.819569528E-02 6.326404810E-01 -7.406432927E-02 3.809066117E-02 2.324704826E-02 -1.743227616E-02
+ 1.299809217E+00 5.590602756E-02 6.153556705E-01 -7.269774377E-02 3.712650388E-02 2.362508699E-02 -1.730652153E-02
+ 1.299809217E+00 5.342555791E-02 5.976853371E-01 -7.117028534E-02 3.629891574E-02 2.404821105E-02 -1.712791622E-02
+ 1.299809217E+00 5.113589019E-02 5.826976299E-01 -7.025774568E-02 3.607457876E-02 2.456932701E-02 -1.719057187E-02
+ 1.299809217E+00 4.865541309E-02 5.685499310E-01 -6.870783120E-02 3.622301295E-02 2.515406348E-02 -1.745846309E-02
+ 1.299809217E+00 4.636575282E-02 5.571905971E-01 -6.663262844E-02 3.609004617E-02 2.566150017E-02 -1.756395958E-02
+ 1.299809217E+00 4.388527572E-02 5.451464653E-01 -6.302682310E-02 3.538884223E-02 2.591481432E-02 -1.723582111E-02
+ 1.299809217E+00 4.159560800E-02 5.324614048E-01 -6.173269078E-02 3.443122283E-02 2.580550686E-02 -1.649049856E-02
+ 1.299809217E+00 3.911513835E-02 5.187654495E-01 -6.100349873E-02 3.365993872E-02 2.534921095E-02 -1.555931661E-02
+ 1.299809217E+00 3.682547435E-02 5.078201890E-01 -5.848555267E-02 3.328647465E-02 2.477528155E-02 -1.480973139E-02
+ 1.299809217E+00 3.434500098E-02 4.973973930E-01 -5.282924697E-02 3.313170373E-02 2.431677654E-02 -1.441040169E-02
+ 1.299809217E+00 3.205533326E-02 4.876562357E-01 -4.866222292E-02 3.293395415E-02 2.382805012E-02 -1.408014260E-02
+ 1.299809217E+00 2.957486175E-02 4.775254130E-01 -4.573924839E-02 3.250142187E-02 2.294298261E-02 -1.328011416E-02
+ 1.299809217E+00 2.728519402E-02 4.683177471E-01 -4.211742803E-02 3.159912676E-02 2.170897275E-02 -1.177453343E-02
+ 1.299809217E+00 2.480472066E-02 4.573864341E-01 -3.712496907E-02 3.033971041E-02 2.059394121E-02 -1.002133079E-02
+ 1.299809217E+00 2.251505665E-02 4.461597204E-01 -3.343453631E-02 2.901737206E-02 1.970846951E-02 -8.642865345E-03
+ 1.299809217E+00 2.003458329E-02 4.339180291E-01 -3.124598041E-02 2.764395624E-02 1.862269826E-02 -7.611940149E-03
+ 1.299809217E+00 1.774491742E-02 4.226006866E-01 -3.035179153E-02 2.633805200E-02 1.713628694E-02 -6.573043764E-03
+ 1.299809217E+00 1.526444498E-02 4.125401676E-01 -2.901202254E-02 2.532690950E-02 1.551138889E-02 -5.559300538E-03
+ 1.299809217E+00 1.297477912E-02 4.048022926E-01 -2.647679113E-02 2.438229695E-02 1.369919628E-02 -4.764939193E-03
+ 1.299809217E+00 1.049430668E-02 3.956965804E-01 -2.242086828E-02 2.331862040E-02 1.141011249E-02 -4.088777583E-03
+ 1.299809217E+00 8.204638027E-03 3.855551779E-01 -1.816554926E-02 2.245227061E-02 8.869776502E-03 -3.330194857E-03
+ 1.299809217E+00 5.724166520E-03 3.683317602E-01 -1.359439269E-02 2.202066593E-02 6.348311901E-03 -2.502328018E-03
+ 1.299809217E+00 3.434499959E-03 3.432985842E-01 -9.056445211E-03 2.191073634E-02 4.460915457E-03 -1.887192135E-03

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/SpalartAllmarasDDES-DeltaOmegaTilde-useSigmaTrue/constant/turbulenceProperties

@@ -0,0 +1,33 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2206                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    object      turbulenceProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+simulationType LES;
+
+LES
+{
+    LESModel        SpalartAllmarasDDES;
+    SpalartAllmarasDDESCoeffs
+    {
+        useSigma        true;
+    }
+
+    delta           DeltaOmegaTilde;
+    DeltaOmegaTildeCoeffs
+    {
+    }
+}
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/SpalartAllmarasDDES-SLADelta-useSigmaFalse/constant/turbulenceProperties

@@ -0,0 +1,33 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2206                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    object      turbulenceProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+simulationType LES;
+
+LES
+{
+    LESModel        SpalartAllmarasDDES;
+    SpalartAllmarasDDESCoeffs
+    {
+        useSigma        false;
+    }
+
+    delta           SLADelta;
+    SLADeltaCoeffs
+    {
+    }
+}
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/SpalartAllmarasDDES-maxDeltaxyzCubeRoot/constant/turbulenceProperties

@@ -0,0 +1,32 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2206                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    object      turbulenceProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+simulationType LES;
+
+LES
+{
+    LESModel        SpalartAllmarasDDES;
+    SpalartAllmarasDDESCoeffs
+    {
+    }
+
+    delta           maxDeltaxyzCubeRoot;
+    maxDeltaxyzCubeRootCoeffs
+    {
+    }
+}
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/SpalartAllmarasIDDES-IDDESDelta/constant/turbulenceProperties

@@ -0,0 +1,32 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2206                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    object      turbulenceProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+simulationType LES;
+
+LES
+{
+    LESModel        SpalartAllmarasIDDES;
+    SpalartAllmarasIDDESCoeffs
+    {
+    }
+
+    delta           IDDESDelta;
+    IDDESDeltaCoeffs
+    {
+    }
+}
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/0.orig/U

@@ -0,0 +1,52 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2206                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volVectorField;
+    object      U;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 1 -1 0 0 0 0];
+
+internalField   uniform (1 0 0);
+
+boundaryField
+{
+    inlet
+    {
+        type            timeVaryingMappedFixedValue;
+        offset          (0 0 0);
+        setAverage      off;
+    }
+
+    outlet
+    {
+        type            zeroGradient;
+    }
+
+    bottomWall
+    {
+        type            fixedValue;
+        value           uniform (0 0 0);
+    }
+
+    topWall
+    {
+        type            slip;
+    }
+
+    "zPeriodic_.*"
+    {
+        type            cyclic;
+    }
+}
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/0.orig/k

@@ -0,0 +1,52 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2206                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    object      k;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 2 -2 0 0 0 0];
+
+internalField   uniform 0.375;
+
+boundaryField
+{
+    inlet
+    {
+        type            timeVaryingMappedFixedValue;
+        setAverage      0;
+        offset          0;
+    }
+
+    outlet
+    {
+        type            zeroGradient;
+    }
+
+    bottomWall
+    {
+        type            kqRWallFunction;
+        value           $internalField;
+    }
+
+    topWall
+    {
+        type            slip;
+    }
+
+    "zPeriodic_.*"
+    {
+        type            cyclic;
+    }
+}
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/0.orig/nuTilda

@@ -0,0 +1,52 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2206                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    object      nuTilda;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 2 -1 0 0 0 0];
+
+internalField   uniform 1.06837606838e-06;
+
+boundaryField
+{
+    inlet
+    {
+        type            timeVaryingMappedFixedValue;
+        setAverage      0;
+        offset          0;
+    }
+
+    outlet
+    {
+        type            zeroGradient;
+    }
+
+    bottomWall
+    {
+        type            fixedValue;
+        value           $internalField;
+    }
+
+    topWall
+    {
+        type            slip;
+    }
+
+    "zPeriodic_.*"
+    {
+        type            cyclic;
+    }
+}
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/0.orig/nut

@@ -0,0 +1,53 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2206                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    object      nut;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 2 -1 0 0 0 0];
+
+internalField   uniform 1.06837606838e-06;
+
+boundaryField
+{
+    inlet
+    {
+        type            calculated;
+        value           $internalField;
+    }
+
+    outlet
+    {
+        type            calculated;
+        value           $internalField;
+    }
+
+    bottomWall
+    {
+        type            nutUSpaldingWallFunction;
+        value           $internalField;
+        tolerance       1e-9;
+    }
+
+    topWall
+    {
+        type            slip;
+    }
+
+    "zPeriodic_.*"
+    {
+        type            cyclic;
+    }
+}
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/0.orig/omega

@@ -0,0 +1,52 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2206                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    object      omega;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 0 -1 0 0 0 0];
+
+internalField   uniform 351;
+
+boundaryField
+{
+    inlet
+    {
+        type            timeVaryingMappedFixedValue;
+        setAverage      0;
+        offset          0;
+    }
+
+    outlet
+    {
+        type            zeroGradient;
+    }
+
+    bottomWall
+    {
+        type            omegaWallFunction;
+        value           $internalField;
+    }
+
+    topWall
+    {
+        type            slip;
+    }
+
+    "zPeriodic_.*"
+    {
+        type            cyclic;
+    }
+}
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/0.orig/p

@@ -0,0 +1,51 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2206                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    object      p;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 2 -2 0 0 0 0];
+
+internalField   uniform 0;
+
+boundaryField
+{
+    inlet
+    {
+        type            zeroGradient;
+    }
+
+    outlet
+    {
+        type            fixedMean;
+        meanValue       0;
+        value           $internalField;
+    }
+
+    bottomWall
+    {
+        type            zeroGradient;
+    }
+
+    topWall
+    {
+        type            slip;
+    }
+
+    "zPeriodic_.*"
+    {
+        type            cyclic;
+    }
+}
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/Allclean

@@ -0,0 +1,10 @@
+#!/bin/sh
+cd "${0%/*}" || exit                                # Run from this directory
+. ${WM_PROJECT_DIR:?}/bin/tools/CleanFunctions      # Tutorial clean functions
+#------------------------------------------------------------------------------
+
+cleanCase0
+
+rm -rf old-processors/
+
+#------------------------------------------------------------------------------

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/Allrun

@@ -0,0 +1,35 @@
+#!/bin/sh
+cd "${0%/*}" || exit                                # Run from this directory
+. ${WM_PROJECT_DIR:?}/bin/tools/RunFunctions        # Tutorial run functions
+#------------------------------------------------------------------------------
+
+if [ ! -d constant/polyMesh ]
+then
+    runApplication blockMesh
+
+    runApplication renumberMesh -overwrite -constant
+
+    runApplication checkMesh -allTopology -allGeometry -constant
+fi
+
+canCompile || exit 0    # Dynamic code
+
+restore0Dir
+
+runApplication applyBoundaryLayer -ybl 0.06
+
+runApplication $(getApplication)
+
+
+# restart test
+
+latestTime=$(foamListTimes -latestTime)
+
+mv -f "$latestTime" "$latestTime".bak
+
+runApplication -s 2 $(getApplication)
+
+
+runApplication foamLog log."$(getApplication)"
+
+#------------------------------------------------------------------------------

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/Allrun-parallel

@@ -0,0 +1,47 @@
+#!/bin/sh
+cd "${0%/*}" || exit                                # Run from this directory
+. ${WM_PROJECT_DIR:?}/bin/tools/RunFunctions        # Tutorial run functions
+#------------------------------------------------------------------------------
+
+if [ ! -d constant/polyMesh ]
+then
+    runApplication blockMesh
+
+    runApplication renumberMesh -overwrite -constant
+
+    runApplication checkMesh -allTopology -allGeometry -constant
+fi
+
+canCompile || exit 0    # Dynamic code
+
+restore0Dir
+
+runApplication decomposePar
+
+runParallel applyBoundaryLayer -ybl 0.06
+
+runParallel $(getApplication)
+
+runApplication reconstructPar
+
+
+# restart test
+
+latestTime=$(foamListTimes -latestTime)
+
+mv -f "$latestTime" "$latestTime".bak
+
+mkdir old-processors
+
+mv -f processor* old-processors/
+
+runParallel -s "decompose" redistributePar -decompose -latestTime
+
+runParallel -s 2 $(getApplication)
+
+runParallel -s "reconstruct" redistributePar -reconstruct -latestTime
+
+
+runApplication foamLog log."$(getApplication)"
+
+#------------------------------------------------------------------------------

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/constant/boundaryData/inlet/0/U

@@ -0,0 +1,542 @@
+534
+(
+    // zmin
+    (0 0 0)
+    (1.07874e-02 0 0)
+    (3.23722e-02 0 0)
+    (5.39860e-02 0 0)
+    (7.56421e-02 0 0)
+    (9.73346e-02 0 0)
+    (1.19016e-01 0 0)
+    (1.40571e-01 0 0)
+    (1.61805e-01 0 0)
+    (1.82459e-01 0 0)
+    (2.02263e-01 0 0)
+    (2.21000e-01 0 0)
+    (2.38542e-01 0 0)
+    (2.54851e-01 0 0)
+    (2.69963e-01 0 0)
+    (2.83956e-01 0 0)
+    (2.96928e-01 0 0)
+    (3.08999e-01 0 0)
+    (3.20287e-01 0 0)
+    (3.30878e-01 0 0)
+    (3.40840e-01 0 0)
+    (3.50230e-01 0 0)
+    (3.59102e-01 0 0)
+    (3.67504e-01 0 0)
+    (3.75479e-01 0 0)
+    (3.83067e-01 0 0)
+    (3.90302e-01 0 0)
+    (3.97216e-01 0 0)
+    (4.03836e-01 0 0)
+    (4.10187e-01 0 0)
+    (4.16295e-01 0 0)
+    (4.22184e-01 0 0)
+    (4.27880e-01 0 0)
+    (4.33402e-01 0 0)
+    (4.38764e-01 0 0)
+    (4.43978e-01 0 0)
+    (4.49057e-01 0 0)
+    (4.54010e-01 0 0)
+    (4.58846e-01 0 0)
+    (4.63574e-01 0 0)
+    (4.68201e-01 0 0)
+    (4.72735e-01 0 0)
+    (4.77182e-01 0 0)
+    (4.81546e-01 0 0)
+    (4.85835e-01 0 0)
+    (4.90052e-01 0 0)
+    (4.94203e-01 0 0)
+    (4.98290e-01 0 0)
+    (5.02319e-01 0 0)
+    (5.06293e-01 0 0)
+    (5.10214e-01 0 0)
+    (5.14086e-01 0 0)
+    (5.17912e-01 0 0)
+    (5.21694e-01 0 0)
+    (5.25435e-01 0 0)
+    (5.29137e-01 0 0)
+    (5.32802e-01 0 0)
+    (5.36433e-01 0 0)
+    (5.40030e-01 0 0)
+    (5.43596e-01 0 0)
+    (5.47133e-01 0 0)
+    (5.50641e-01 0 0)
+    (5.54123e-01 0 0)
+    (5.57579e-01 0 0)
+    (5.61011e-01 0 0)
+    (5.64421e-01 0 0)
+    (5.67809e-01 0 0)
+    (5.71176e-01 0 0)
+    (5.74524e-01 0 0)
+    (5.77853e-01 0 0)
+    (5.81165e-01 0 0)
+    (5.84460e-01 0 0)
+    (5.87738e-01 0 0)
+    (5.91002e-01 0 0)
+    (5.94252e-01 0 0)
+    (5.97487e-01 0 0)
+    (6.00710e-01 0 0)
+    (6.03921e-01 0 0)
+    (6.07120e-01 0 0)
+    (6.10308e-01 0 0)
+    (6.13486e-01 0 0)
+    (6.16654e-01 0 0)
+    (6.19812e-01 0 0)
+    (6.22962e-01 0 0)
+    (6.26104e-01 0 0)
+    (6.29238e-01 0 0)
+    (6.32365e-01 0 0)
+    (6.35485e-01 0 0)
+    (6.38599e-01 0 0)
+    (6.41707e-01 0 0)
+    (6.44810e-01 0 0)
+    (6.47908e-01 0 0)
+    (6.51002e-01 0 0)
+    (6.54092e-01 0 0)
+    (6.57178e-01 0 0)
+    (6.60261e-01 0 0)
+    (6.63341e-01 0 0)
+    (6.66419e-01 0 0)
+    (6.69495e-01 0 0)
+    (6.72570e-01 0 0)
+    (6.75643e-01 0 0)
+    (6.78716e-01 0 0)
+    (6.81789e-01 0 0)
+    (6.84862e-01 0 0)
+    (6.87935e-01 0 0)
+    (6.91010e-01 0 0)
+    (6.94086e-01 0 0)
+    (6.97164e-01 0 0)
+    (7.00244e-01 0 0)
+    (7.03327e-01 0 0)
+    (7.06413e-01 0 0)
+    (7.09503e-01 0 0)
+    (7.12598e-01 0 0)
+    (7.15697e-01 0 0)
+    (7.18801e-01 0 0)
+    (7.21911e-01 0 0)
+    (7.25028e-01 0 0)
+    (7.28151e-01 0 0)
+    (7.31281e-01 0 0)
+    (7.34420e-01 0 0)
+    (7.37568e-01 0 0)
+    (7.40724e-01 0 0)
+    (7.43891e-01 0 0)
+    (7.47068e-01 0 0)
+    (7.50257e-01 0 0)
+    (7.53458e-01 0 0)
+    (7.56671e-01 0 0)
+    (7.59899e-01 0 0)
+    (7.63141e-01 0 0)
+    (7.66398e-01 0 0)
+    (7.69672e-01 0 0)
+    (7.72963e-01 0 0)
+    (7.76273e-01 0 0)
+    (7.79602e-01 0 0)
+    (7.82952e-01 0 0)
+    (7.86324e-01 0 0)
+    (7.89719e-01 0 0)
+    (7.93138e-01 0 0)
+    (7.96583e-01 0 0)
+    (8.00056e-01 0 0)
+    (8.03557e-01 0 0)
+    (8.07089e-01 0 0)
+    (8.10653e-01 0 0)
+    (8.14252e-01 0 0)
+    (8.17887e-01 0 0)
+    (8.21560e-01 0 0)
+    (8.25274e-01 0 0)
+    (8.29037e-01 0 0)
+    (8.32859e-01 0 0)
+    (8.36747e-01 0 0)
+    (8.40704e-01 0 0)
+    (8.44736e-01 0 0)
+    (8.48842e-01 0 0)
+    (8.53027e-01 0 0)
+    (8.57292e-01 0 0)
+    (8.61640e-01 0 0)
+    (8.66075e-01 0 0)
+    (8.70601e-01 0 0)
+    (8.75225e-01 0 0)
+    (8.79954e-01 0 0)
+    (8.84798e-01 0 0)
+    (8.89765e-01 0 0)
+    (8.94868e-01 0 0)
+    (9.00116e-01 0 0)
+    (9.05521e-01 0 0)
+    (9.11090e-01 0 0)
+    (9.16823e-01 0 0)
+    (9.22713e-01 0 0)
+    (9.28733e-01 0 0)
+    (9.34837e-01 0 0)
+    (9.40946e-01 0 0)
+    (9.46957e-01 0 0)
+    (9.52767e-01 0 0)
+    (9.58336e-01 0 0)
+    (9.63791e-01 0 0)
+    (9.69260e-01 0 0)
+    (9.74732e-01 0 0)
+    (9.80169e-01 0 0)
+    (9.85503e-01 0 0)
+    (9.90594e-01 0 0)
+    (9.95123e-01 0 0)
+    (9.98429e-01 0 0)
+    (9.99998e-01 0 0)
+    (1.00041e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00044e+00 0 0)
+    (1.00044e+00 0 0)
+    (1.00044e+00 0 0)
+    (1.00044e+00 0 0)
+    (1.00044e+00 0 0)
+    (1.00044e+00 0 0)
+    (1.00044e+00 0 0)
+    (1.00044e+00 0 0)
+    (1.00044e+00 0 0)
+    (1.00044e+00 0 0)
+    (1.00043e+00 0 0)
+    (1.00043e+00 0 0)
+    (1.00043e+00 0 0)
+    (1.00043e+00 0 0)
+    (1.00043e+00 0 0)
+
+    // zmax
+    (0 0 0)
+    (1.07874e-02 0 0)
+    (3.23722e-02 0 0)
+    (5.39860e-02 0 0)
+    (7.56421e-02 0 0)
+    (9.73346e-02 0 0)
+    (1.19016e-01 0 0)
+    (1.40571e-01 0 0)
+    (1.61805e-01 0 0)
+    (1.82459e-01 0 0)
+    (2.02263e-01 0 0)
+    (2.21000e-01 0 0)
+    (2.38542e-01 0 0)
+    (2.54851e-01 0 0)
+    (2.69963e-01 0 0)
+    (2.83956e-01 0 0)
+    (2.96928e-01 0 0)
+    (3.08999e-01 0 0)
+    (3.20287e-01 0 0)
+    (3.30878e-01 0 0)
+    (3.40840e-01 0 0)
+    (3.50230e-01 0 0)
+    (3.59102e-01 0 0)
+    (3.67504e-01 0 0)
+    (3.75479e-01 0 0)
+    (3.83067e-01 0 0)
+    (3.90302e-01 0 0)
+    (3.97216e-01 0 0)
+    (4.03836e-01 0 0)
+    (4.10187e-01 0 0)
+    (4.16295e-01 0 0)
+    (4.22184e-01 0 0)
+    (4.27880e-01 0 0)
+    (4.33402e-01 0 0)
+    (4.38764e-01 0 0)
+    (4.43978e-01 0 0)
+    (4.49057e-01 0 0)
+    (4.54010e-01 0 0)
+    (4.58846e-01 0 0)
+    (4.63574e-01 0 0)
+    (4.68201e-01 0 0)
+    (4.72735e-01 0 0)
+    (4.77182e-01 0 0)
+    (4.81546e-01 0 0)
+    (4.85835e-01 0 0)
+    (4.90052e-01 0 0)
+    (4.94203e-01 0 0)
+    (4.98290e-01 0 0)
+    (5.02319e-01 0 0)
+    (5.06293e-01 0 0)
+    (5.10214e-01 0 0)
+    (5.14086e-01 0 0)
+    (5.17912e-01 0 0)
+    (5.21694e-01 0 0)
+    (5.25435e-01 0 0)
+    (5.29137e-01 0 0)
+    (5.32802e-01 0 0)
+    (5.36433e-01 0 0)
+    (5.40030e-01 0 0)
+    (5.43596e-01 0 0)
+    (5.47133e-01 0 0)
+    (5.50641e-01 0 0)
+    (5.54123e-01 0 0)
+    (5.57579e-01 0 0)
+    (5.61011e-01 0 0)
+    (5.64421e-01 0 0)
+    (5.67809e-01 0 0)
+    (5.71176e-01 0 0)
+    (5.74524e-01 0 0)
+    (5.77853e-01 0 0)
+    (5.81165e-01 0 0)
+    (5.84460e-01 0 0)
+    (5.87738e-01 0 0)
+    (5.91002e-01 0 0)
+    (5.94252e-01 0 0)
+    (5.97487e-01 0 0)
+    (6.00710e-01 0 0)
+    (6.03921e-01 0 0)
+    (6.07120e-01 0 0)
+    (6.10308e-01 0 0)
+    (6.13486e-01 0 0)
+    (6.16654e-01 0 0)
+    (6.19812e-01 0 0)
+    (6.22962e-01 0 0)
+    (6.26104e-01 0 0)
+    (6.29238e-01 0 0)
+    (6.32365e-01 0 0)
+    (6.35485e-01 0 0)
+    (6.38599e-01 0 0)
+    (6.41707e-01 0 0)
+    (6.44810e-01 0 0)
+    (6.47908e-01 0 0)
+    (6.51002e-01 0 0)
+    (6.54092e-01 0 0)
+    (6.57178e-01 0 0)
+    (6.60261e-01 0 0)
+    (6.63341e-01 0 0)
+    (6.66419e-01 0 0)
+    (6.69495e-01 0 0)
+    (6.72570e-01 0 0)
+    (6.75643e-01 0 0)
+    (6.78716e-01 0 0)
+    (6.81789e-01 0 0)
+    (6.84862e-01 0 0)
+    (6.87935e-01 0 0)
+    (6.91010e-01 0 0)
+    (6.94086e-01 0 0)
+    (6.97164e-01 0 0)
+    (7.00244e-01 0 0)
+    (7.03327e-01 0 0)
+    (7.06413e-01 0 0)
+    (7.09503e-01 0 0)
+    (7.12598e-01 0 0)
+    (7.15697e-01 0 0)
+    (7.18801e-01 0 0)
+    (7.21911e-01 0 0)
+    (7.25028e-01 0 0)
+    (7.28151e-01 0 0)
+    (7.31281e-01 0 0)
+    (7.34420e-01 0 0)
+    (7.37568e-01 0 0)
+    (7.40724e-01 0 0)
+    (7.43891e-01 0 0)
+    (7.47068e-01 0 0)
+    (7.50257e-01 0 0)
+    (7.53458e-01 0 0)
+    (7.56671e-01 0 0)
+    (7.59899e-01 0 0)
+    (7.63141e-01 0 0)
+    (7.66398e-01 0 0)
+    (7.69672e-01 0 0)
+    (7.72963e-01 0 0)
+    (7.76273e-01 0 0)
+    (7.79602e-01 0 0)
+    (7.82952e-01 0 0)
+    (7.86324e-01 0 0)
+    (7.89719e-01 0 0)
+    (7.93138e-01 0 0)
+    (7.96583e-01 0 0)
+    (8.00056e-01 0 0)
+    (8.03557e-01 0 0)
+    (8.07089e-01 0 0)
+    (8.10653e-01 0 0)
+    (8.14252e-01 0 0)
+    (8.17887e-01 0 0)
+    (8.21560e-01 0 0)
+    (8.25274e-01 0 0)
+    (8.29037e-01 0 0)
+    (8.32859e-01 0 0)
+    (8.36747e-01 0 0)
+    (8.40704e-01 0 0)
+    (8.44736e-01 0 0)
+    (8.48842e-01 0 0)
+    (8.53027e-01 0 0)
+    (8.57292e-01 0 0)
+    (8.61640e-01 0 0)
+    (8.66075e-01 0 0)
+    (8.70601e-01 0 0)
+    (8.75225e-01 0 0)
+    (8.79954e-01 0 0)
+    (8.84798e-01 0 0)
+    (8.89765e-01 0 0)
+    (8.94868e-01 0 0)
+    (9.00116e-01 0 0)
+    (9.05521e-01 0 0)
+    (9.11090e-01 0 0)
+    (9.16823e-01 0 0)
+    (9.22713e-01 0 0)
+    (9.28733e-01 0 0)
+    (9.34837e-01 0 0)
+    (9.40946e-01 0 0)
+    (9.46957e-01 0 0)
+    (9.52767e-01 0 0)
+    (9.58336e-01 0 0)
+    (9.63791e-01 0 0)
+    (9.69260e-01 0 0)
+    (9.74732e-01 0 0)
+    (9.80169e-01 0 0)
+    (9.85503e-01 0 0)
+    (9.90594e-01 0 0)
+    (9.95123e-01 0 0)
+    (9.98429e-01 0 0)
+    (9.99998e-01 0 0)
+    (1.00041e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00047e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00046e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00045e+00 0 0)
+    (1.00044e+00 0 0)
+    (1.00044e+00 0 0)
+    (1.00044e+00 0 0)
+    (1.00044e+00 0 0)
+    (1.00044e+00 0 0)
+    (1.00044e+00 0 0)
+    (1.00044e+00 0 0)
+    (1.00044e+00 0 0)
+    (1.00044e+00 0 0)
+    (1.00044e+00 0 0)
+    (1.00043e+00 0 0)
+    (1.00043e+00 0 0)
+    (1.00043e+00 0 0)
+    (1.00043e+00 0 0)
+    (1.00043e+00 0 0)
+)
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/constant/boundaryData/inlet/0/k

@@ -0,0 +1,542 @@
+534
+(
+    // zmin
+    0
+    3.84844e-06
+    1.59930e-06
+    7.30613e-06
+    2.54222e-05
+    6.40146e-05
+    1.31525e-04
+    2.35041e-04
+    3.78071e-04
+    5.58565e-04
+    7.68643e-04
+    9.96670e-04
+    1.23053e-03
+    1.46023e-03
+    1.67896e-03
+    1.88293e-03
+    2.07057e-03
+    2.24193e-03
+    2.39809e-03
+    2.54015e-03
+    2.66918e-03
+    2.78628e-03
+    2.89254e-03
+    2.98904e-03
+    3.07679e-03
+    3.15670e-03
+    3.22962e-03
+    3.29630e-03
+    3.35744e-03
+    3.41365e-03
+    3.46549e-03
+    3.51346e-03
+    3.55803e-03
+    3.59954e-03
+    3.63828e-03
+    3.67449e-03
+    3.70839e-03
+    3.74017e-03
+    3.77001e-03
+    3.79807e-03
+    3.82448e-03
+    3.84936e-03
+    3.87284e-03
+    3.89501e-03
+    3.91597e-03
+    3.93579e-03
+    3.95455e-03
+    3.97232e-03
+    3.98917e-03
+    4.00515e-03
+    4.02031e-03
+    4.03470e-03
+    4.04836e-03
+    4.06134e-03
+    4.07366e-03
+    4.08537e-03
+    4.09649e-03
+    4.10705e-03
+    4.11708e-03
+    4.12661e-03
+    4.13565e-03
+    4.14423e-03
+    4.15236e-03
+    4.16007e-03
+    4.16736e-03
+    4.17426e-03
+    4.18078e-03
+    4.18693e-03
+    4.19272e-03
+    4.19817e-03
+    4.20328e-03
+    4.20806e-03
+    4.21253e-03
+    4.21668e-03
+    4.22054e-03
+    4.22409e-03
+    4.22736e-03
+    4.23033e-03
+    4.23303e-03
+    4.23545e-03
+    4.23760e-03
+    4.23948e-03
+    4.24108e-03
+    4.24243e-03
+    4.24351e-03
+    4.24432e-03
+    4.24488e-03
+    4.24517e-03
+    4.24521e-03
+    4.24498e-03
+    4.24448e-03
+    4.24373e-03
+    4.24271e-03
+    4.24142e-03
+    4.23986e-03
+    4.23802e-03
+    4.23591e-03
+    4.23352e-03
+    4.23085e-03
+    4.22789e-03
+    4.22463e-03
+    4.22108e-03
+    4.21721e-03
+    4.21304e-03
+    4.20855e-03
+    4.20374e-03
+    4.19859e-03
+    4.19310e-03
+    4.18726e-03
+    4.18106e-03
+    4.17448e-03
+    4.16753e-03
+    4.16019e-03
+    4.15245e-03
+    4.14429e-03
+    4.13570e-03
+    4.12667e-03
+    4.11718e-03
+    4.10722e-03
+    4.09677e-03
+    4.08582e-03
+    4.07434e-03
+    4.06232e-03
+    4.04974e-03
+    4.03658e-03
+    4.02281e-03
+    4.00841e-03
+    3.99335e-03
+    3.97762e-03
+    3.96118e-03
+    3.94401e-03
+    3.92607e-03
+    3.90733e-03
+    3.88776e-03
+    3.86733e-03
+    3.84599e-03
+    3.82371e-03
+    3.80044e-03
+    3.77614e-03
+    3.75077e-03
+    3.72427e-03
+    3.69659e-03
+    3.66769e-03
+    3.63749e-03
+    3.60595e-03
+    3.57299e-03
+    3.53855e-03
+    3.50248e-03
+    3.46459e-03
+    3.42468e-03
+    3.38257e-03
+    3.33804e-03
+    3.29090e-03
+    3.24094e-03
+    3.18796e-03
+    3.13172e-03
+    3.07199e-03
+    3.00847e-03
+    2.94087e-03
+    2.86880e-03
+    2.79187e-03
+    2.70959e-03
+    2.62143e-03
+    2.52683e-03
+    2.42516e-03
+    2.31580e-03
+    2.19822e-03
+    2.07202e-03
+    1.93723e-03
+    1.79456e-03
+    1.64609e-03
+    1.49580e-03
+    1.34703e-03
+    1.20094e-03
+    1.05459e-03
+    9.04880e-04
+    7.51735e-04
+    5.96019e-04
+    4.40026e-04
+    2.88876e-04
+    1.54103e-04
+    5.76156e-05
+    1.31857e-05
+    1.85141e-06
+    2.24315e-07
+    6.89702e-08
+    5.65350e-08
+    5.55954e-08
+    5.55267e-08
+    5.55213e-08
+    5.55205e-08
+    5.55199e-08
+    5.55194e-08
+    5.55190e-08
+    5.55186e-08
+    5.55182e-08
+    5.55178e-08
+    5.55174e-08
+    5.55171e-08
+    5.55168e-08
+    5.55165e-08
+    5.55162e-08
+    5.55160e-08
+    5.55157e-08
+    5.55155e-08
+    5.55153e-08
+    5.55151e-08
+    5.55149e-08
+    5.55148e-08
+    5.55146e-08
+    5.55145e-08
+    5.55144e-08
+    5.55142e-08
+    5.55141e-08
+    5.55140e-08
+    5.55139e-08
+    5.55138e-08
+    5.55138e-08
+    5.55137e-08
+    5.55136e-08
+    5.55136e-08
+    5.55135e-08
+    5.55135e-08
+    5.55134e-08
+    5.55134e-08
+    5.55134e-08
+    5.55133e-08
+    5.55133e-08
+    5.55133e-08
+    5.55133e-08
+    5.55133e-08
+    5.55133e-08
+    5.55133e-08
+    5.55133e-08
+    5.55133e-08
+    5.55134e-08
+    5.55134e-08
+    5.55134e-08
+    5.55134e-08
+    5.55135e-08
+    5.55135e-08
+    5.55136e-08
+    5.55136e-08
+    5.55137e-08
+    5.55137e-08
+    5.55138e-08
+    5.55139e-08
+    5.55139e-08
+    5.55140e-08
+    5.55141e-08
+    5.55142e-08
+    5.55143e-08
+    5.55143e-08
+    5.55144e-08
+    5.55145e-08
+    5.55146e-08
+    5.55147e-08
+    5.55149e-08
+    5.55150e-08
+    5.55151e-08
+    5.55152e-08
+    5.55153e-08
+    5.55155e-08
+    5.55156e-08
+    5.55158e-08
+    5.55159e-08
+    5.55159e-08
+
+    // zmax
+    0
+    3.84844e-06
+    1.59930e-06
+    7.30613e-06
+    2.54222e-05
+    6.40146e-05
+    1.31525e-04
+    2.35041e-04
+    3.78071e-04
+    5.58565e-04
+    7.68643e-04
+    9.96670e-04
+    1.23053e-03
+    1.46023e-03
+    1.67896e-03
+    1.88293e-03
+    2.07057e-03
+    2.24193e-03
+    2.39809e-03
+    2.54015e-03
+    2.66918e-03
+    2.78628e-03
+    2.89254e-03
+    2.98904e-03
+    3.07679e-03
+    3.15670e-03
+    3.22962e-03
+    3.29630e-03
+    3.35744e-03
+    3.41365e-03
+    3.46549e-03
+    3.51346e-03
+    3.55803e-03
+    3.59954e-03
+    3.63828e-03
+    3.67449e-03
+    3.70839e-03
+    3.74017e-03
+    3.77001e-03
+    3.79807e-03
+    3.82448e-03
+    3.84936e-03
+    3.87284e-03
+    3.89501e-03
+    3.91597e-03
+    3.93579e-03
+    3.95455e-03
+    3.97232e-03
+    3.98917e-03
+    4.00515e-03
+    4.02031e-03
+    4.03470e-03
+    4.04836e-03
+    4.06134e-03
+    4.07366e-03
+    4.08537e-03
+    4.09649e-03
+    4.10705e-03
+    4.11708e-03
+    4.12661e-03
+    4.13565e-03
+    4.14423e-03
+    4.15236e-03
+    4.16007e-03
+    4.16736e-03
+    4.17426e-03
+    4.18078e-03
+    4.18693e-03
+    4.19272e-03
+    4.19817e-03
+    4.20328e-03
+    4.20806e-03
+    4.21253e-03
+    4.21668e-03
+    4.22054e-03
+    4.22409e-03
+    4.22736e-03
+    4.23033e-03
+    4.23303e-03
+    4.23545e-03
+    4.23760e-03
+    4.23948e-03
+    4.24108e-03
+    4.24243e-03
+    4.24351e-03
+    4.24432e-03
+    4.24488e-03
+    4.24517e-03
+    4.24521e-03
+    4.24498e-03
+    4.24448e-03
+    4.24373e-03
+    4.24271e-03
+    4.24142e-03
+    4.23986e-03
+    4.23802e-03
+    4.23591e-03
+    4.23352e-03
+    4.23085e-03
+    4.22789e-03
+    4.22463e-03
+    4.22108e-03
+    4.21721e-03
+    4.21304e-03
+    4.20855e-03
+    4.20374e-03
+    4.19859e-03
+    4.19310e-03
+    4.18726e-03
+    4.18106e-03
+    4.17448e-03
+    4.16753e-03
+    4.16019e-03
+    4.15245e-03
+    4.14429e-03
+    4.13570e-03
+    4.12667e-03
+    4.11718e-03
+    4.10722e-03
+    4.09677e-03
+    4.08582e-03
+    4.07434e-03
+    4.06232e-03
+    4.04974e-03
+    4.03658e-03
+    4.02281e-03
+    4.00841e-03
+    3.99335e-03
+    3.97762e-03
+    3.96118e-03
+    3.94401e-03
+    3.92607e-03
+    3.90733e-03
+    3.88776e-03
+    3.86733e-03
+    3.84599e-03
+    3.82371e-03
+    3.80044e-03
+    3.77614e-03
+    3.75077e-03
+    3.72427e-03
+    3.69659e-03
+    3.66769e-03
+    3.63749e-03
+    3.60595e-03
+    3.57299e-03
+    3.53855e-03
+    3.50248e-03
+    3.46459e-03
+    3.42468e-03
+    3.38257e-03
+    3.33804e-03
+    3.29090e-03
+    3.24094e-03
+    3.18796e-03
+    3.13172e-03
+    3.07199e-03
+    3.00847e-03
+    2.94087e-03
+    2.86880e-03
+    2.79187e-03
+    2.70959e-03
+    2.62143e-03
+    2.52683e-03
+    2.42516e-03
+    2.31580e-03
+    2.19822e-03
+    2.07202e-03
+    1.93723e-03
+    1.79456e-03
+    1.64609e-03
+    1.49580e-03
+    1.34703e-03
+    1.20094e-03
+    1.05459e-03
+    9.04880e-04
+    7.51735e-04
+    5.96019e-04
+    4.40026e-04
+    2.88876e-04
+    1.54103e-04
+    5.76156e-05
+    1.31857e-05
+    1.85141e-06
+    2.24315e-07
+    6.89702e-08
+    5.65350e-08
+    5.55954e-08
+    5.55267e-08
+    5.55213e-08
+    5.55205e-08
+    5.55199e-08
+    5.55194e-08
+    5.55190e-08
+    5.55186e-08
+    5.55182e-08
+    5.55178e-08
+    5.55174e-08
+    5.55171e-08
+    5.55168e-08
+    5.55165e-08
+    5.55162e-08
+    5.55160e-08
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+    5.55155e-08
+    5.55153e-08
+    5.55151e-08
+    5.55149e-08
+    5.55148e-08
+    5.55146e-08
+    5.55145e-08
+    5.55144e-08
+    5.55142e-08
+    5.55141e-08
+    5.55140e-08
+    5.55139e-08
+    5.55138e-08
+    5.55138e-08
+    5.55137e-08
+    5.55136e-08
+    5.55136e-08
+    5.55135e-08
+    5.55135e-08
+    5.55134e-08
+    5.55134e-08
+    5.55134e-08
+    5.55133e-08
+    5.55133e-08
+    5.55133e-08
+    5.55133e-08
+    5.55133e-08
+    5.55133e-08
+    5.55133e-08
+    5.55133e-08
+    5.55133e-08
+    5.55134e-08
+    5.55134e-08
+    5.55134e-08
+    5.55134e-08
+    5.55135e-08
+    5.55135e-08
+    5.55136e-08
+    5.55136e-08
+    5.55137e-08
+    5.55137e-08
+    5.55138e-08
+    5.55139e-08
+    5.55139e-08
+    5.55140e-08
+    5.55141e-08
+    5.55142e-08
+    5.55143e-08
+    5.55143e-08
+    5.55144e-08
+    5.55145e-08
+    5.55146e-08
+    5.55147e-08
+    5.55149e-08
+    5.55150e-08
+    5.55151e-08
+    5.55152e-08
+    5.55153e-08
+    5.55155e-08
+    5.55156e-08
+    5.55158e-08
+    5.55159e-08
+    5.55159e-08
+)
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/constant/boundaryData/inlet/0/nuTilda

@@ -0,0 +1,542 @@
+534
+(
+    // zmin
+    0
+    3.36901709402949e-12
+    8.12097222225211e-12
+    1.08853632479033e-10
+    7.92667735045652e-10
+    3.44800213676483e-09
+    1.08153846154244e-08
+    2.70391025642021e-08
+    5.70216880343979e-08
+    1.05185149573037e-07
+    1.74278846154488e-07
+    2.6493055555653e-07
+    3.76063034189418e-07
+    5.0568482906169e-07
+    6.51586538463936e-07
+    8.11736111114098e-07
+    9.84417735046358e-07
+    1.16240384615812e-06
+    1.34686965812461e-06
+    1.54204059829627e-06
+    1.74858974359618e-06
+    1.96654914530638e-06
+    2.19583333334141e-06
+    2.43642094017991e-06
+    2.68830128206117e-06
+    2.95151709402796e-06
+    3.22621794872982e-06
+    3.51257478633771e-06
+    3.81064102565505e-06
+    4.12000000001516e-06
+    4.43873931625565e-06
+    4.76087606839359e-06
+    5.08622863249735e-06
+    5.4215491453191e-06
+    5.76709401711524e-06
+    6.12309829062082e-06
+    6.48985042737431e-06
+    6.86762820515348e-06
+    7.25675213677884e-06
+    7.65753205131023e-06
+    8.07029914532884e-06
+    8.49540598293725e-06
+    8.93321581199869e-06
+    9.3841025641371e-06
+    9.8484508547371e-06
+    1.03266666667047e-05
+    1.08191239316637e-05
+    1.13263888889306e-05
+    1.18487179487616e-05
+    1.23866452991909e-05
+    1.29407051282527e-05
+    1.35112179487677e-05
+    1.40988247863767e-05
+    1.47039529915071e-05
+    1.53271367521932e-05
+    1.5968910256469e-05
+    1.66298076923689e-05
+    1.73103632479269e-05
+    1.80113247863911e-05
+    1.87330128205818e-05
+    1.94761752137469e-05
+    2.02414529915275e-05
+    2.10293803419577e-05
+    2.18407051282855e-05
+    2.26760683761518e-05
+    2.35360042735909e-05
+    2.44213675214574e-05
+    2.53326923077855e-05
+    2.627083333343e-05
+    2.72364316240318e-05
+    2.82303418804458e-05
+    2.92532051283128e-05
+    3.03057692308808e-05
+    3.13888888890044e-05
+    3.25034188035384e-05
+    3.36500000001238e-05
+    3.48294871796153e-05
+    3.60428418804745e-05
+    3.72907051283424e-05
+    3.85741452992873e-05
+    3.98938034189502e-05
+    4.12506410257928e-05
+    4.26456196582766e-05
+    4.40794871796494e-05
+    4.55532051283728e-05
+    4.70676282053014e-05
+    4.862361111129e-05
+    5.02221153848002e-05
+    5.18638888890797e-05
+    5.35500000001971e-05
+    5.52813034190068e-05
+    5.7058547008757e-05
+    5.8882692307909e-05
+    6.07544871797108e-05
+    6.26748931626238e-05
+    6.46445512822892e-05
+    6.66644230771684e-05
+    6.87351495729025e-05
+    7.08574786327394e-05
+    7.30321581199269e-05
+    7.52597222224992e-05
+    7.75409188037041e-05
+    7.98760683763623e-05
+    8.22658119661147e-05
+    8.47105769233887e-05
+    8.72105769233978e-05
+    8.97661324789628e-05
+    9.23773504276904e-05
+    9.50444444447942e-05
+    9.77672008550606e-05
+    0.000100545512820883
+    0.00010337905982944
+    0.000106267307692699
+    0.000109209401709804
+    0.00011220619658161
+    0.000115254273504698
+    0.000118353632479068
+    0.000121502136752584
+    0.000124699786325245
+    0.000127943376068847
+    0.000131231837607321
+    0.000134560897436393
+    0.000137929487179995
+    0.000141333333333853
+    0.000144769230769764
+    0.00014823397435952
+    0.000151722222222781
+    0.000155229700855272
+    0.000158751068376653
+    0.00016228098290658
+    0.000165811965812576
+    0.00016933760683823
+    0.000172851495727132
+    0.000176344017094666
+    0.000179807692308354
+    0.000183231837607512
+    0.000186606837607524
+    0.000189920940171639
+    0.000193162393163104
+    0.000196318376069099
+    0.000199376068376802
+    0.000202320512821257
+    0.000205135683761439
+    0.000207806623932389
+    0.000210313034188808
+    0.000212638888889671
+    0.000214689102564893
+    0.000215978632479427
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+    0.000217011752137551
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+    0.000197864316240044
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+    0.000173645299145938
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+    0.00012179487179532
+    0.00011754807692351
+    0.000106481196581588
+    9.40628205131667e-05
+    8.06954059832029e-05
+    6.64488247865693e-05
+    5.15225427352323e-05
+    3.64003205129545e-05
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+    1.1337286324828e-05
+    4.84741452993237e-06
+    1.516303418809e-06
+    2.6712713675312e-07
+    8.64979700857884e-08
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+    6.9958867521625e-08
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+    6.99576923079497e-08
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+    6.99567307694882e-08
+    6.99565170942745e-08
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+    6.99559829062403e-08
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+    6.9955555555813e-08
+    6.99553418805993e-08
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+    6.9954914530172e-08
+    6.99547008549583e-08
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+    6.99543803421378e-08
+    6.99542735045309e-08
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+    6.99539529917104e-08
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+    6.99537393164967e-08
+    6.99536324788899e-08
+    6.99535256412831e-08
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+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99519230771805e-08
+    6.99519230771805e-08
+    6.99519230771805e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+
+    // zmax
+    0
+    3.36901709402949e-12
+    8.12097222225211e-12
+    1.08853632479033e-10
+    7.92667735045652e-10
+    3.44800213676483e-09
+    1.08153846154244e-08
+    2.70391025642021e-08
+    5.70216880343979e-08
+    1.05185149573037e-07
+    1.74278846154488e-07
+    2.6493055555653e-07
+    3.76063034189418e-07
+    5.0568482906169e-07
+    6.51586538463936e-07
+    8.11736111114098e-07
+    9.84417735046358e-07
+    1.16240384615812e-06
+    1.34686965812461e-06
+    1.54204059829627e-06
+    1.74858974359618e-06
+    1.96654914530638e-06
+    2.19583333334141e-06
+    2.43642094017991e-06
+    2.68830128206117e-06
+    2.95151709402796e-06
+    3.22621794872982e-06
+    3.51257478633771e-06
+    3.81064102565505e-06
+    4.12000000001516e-06
+    4.43873931625565e-06
+    4.76087606839359e-06
+    5.08622863249735e-06
+    5.4215491453191e-06
+    5.76709401711524e-06
+    6.12309829062082e-06
+    6.48985042737431e-06
+    6.86762820515348e-06
+    7.25675213677884e-06
+    7.65753205131023e-06
+    8.07029914532884e-06
+    8.49540598293725e-06
+    8.93321581199869e-06
+    9.3841025641371e-06
+    9.8484508547371e-06
+    1.03266666667047e-05
+    1.08191239316637e-05
+    1.13263888889306e-05
+    1.18487179487616e-05
+    1.23866452991909e-05
+    1.29407051282527e-05
+    1.35112179487677e-05
+    1.40988247863767e-05
+    1.47039529915071e-05
+    1.53271367521932e-05
+    1.5968910256469e-05
+    1.66298076923689e-05
+    1.73103632479269e-05
+    1.80113247863911e-05
+    1.87330128205818e-05
+    1.94761752137469e-05
+    2.02414529915275e-05
+    2.10293803419577e-05
+    2.18407051282855e-05
+    2.26760683761518e-05
+    2.35360042735909e-05
+    2.44213675214574e-05
+    2.53326923077855e-05
+    2.627083333343e-05
+    2.72364316240318e-05
+    2.82303418804458e-05
+    2.92532051283128e-05
+    3.03057692308808e-05
+    3.13888888890044e-05
+    3.25034188035384e-05
+    3.36500000001238e-05
+    3.48294871796153e-05
+    3.60428418804745e-05
+    3.72907051283424e-05
+    3.85741452992873e-05
+    3.98938034189502e-05
+    4.12506410257928e-05
+    4.26456196582766e-05
+    4.40794871796494e-05
+    4.55532051283728e-05
+    4.70676282053014e-05
+    4.862361111129e-05
+    5.02221153848002e-05
+    5.18638888890797e-05
+    5.35500000001971e-05
+    5.52813034190068e-05
+    5.7058547008757e-05
+    5.8882692307909e-05
+    6.07544871797108e-05
+    6.26748931626238e-05
+    6.46445512822892e-05
+    6.66644230771684e-05
+    6.87351495729025e-05
+    7.08574786327394e-05
+    7.30321581199269e-05
+    7.52597222224992e-05
+    7.75409188037041e-05
+    7.98760683763623e-05
+    8.22658119661147e-05
+    8.47105769233887e-05
+    8.72105769233978e-05
+    8.97661324789628e-05
+    9.23773504276904e-05
+    9.50444444447942e-05
+    9.77672008550606e-05
+    0.000100545512820883
+    0.00010337905982944
+    0.000106267307692699
+    0.000109209401709804
+    0.00011220619658161
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+    0.000118353632479068
+    0.000121502136752584
+    0.000124699786325245
+    0.000127943376068847
+    0.000131231837607321
+    0.000134560897436393
+    0.000137929487179995
+    0.000141333333333853
+    0.000144769230769764
+    0.00014823397435952
+    0.000151722222222781
+    0.000155229700855272
+    0.000158751068376653
+    0.00016228098290658
+    0.000165811965812576
+    0.00016933760683823
+    0.000172851495727132
+    0.000176344017094666
+    0.000179807692308354
+    0.000183231837607512
+    0.000186606837607524
+    0.000189920940171639
+    0.000193162393163104
+    0.000196318376069099
+    0.000199376068376802
+    0.000202320512821257
+    0.000205135683761439
+    0.000207806623932389
+    0.000210313034188808
+    0.000212638888889671
+    0.000214689102564893
+    0.000215978632479427
+    0.000216706196581994
+    0.000217018162393961
+    0.000217011752137551
+    0.000216739316240114
+    0.000216213675214471
+    0.000215419871795665
+    0.00021432158119737
+    0.000212863247864031
+    0.000210982905983682
+    0.000208611111111879
+    0.000205676282052039
+    0.000202113247863992
+    0.000197864316240044
+    0.00019288782051353
+    0.000187172008547697
+    0.000180736111111776
+    0.000173645299145938
+    0.000166021367521978
+    0.000158049145299727
+    0.00014999465812021
+    0.000142207264957788
+    0.000135129273504771
+    0.000129256410256886
+    0.000124956196581656
+    0.00012179487179532
+    0.00011754807692351
+    0.000106481196581588
+    9.40628205131667e-05
+    8.06954059832029e-05
+    6.64488247865693e-05
+    5.15225427352323e-05
+    3.64003205129545e-05
+    2.22603632479452e-05
+    1.1337286324828e-05
+    4.84741452993237e-06
+    1.516303418809e-06
+    2.6712713675312e-07
+    8.64979700857884e-08
+    7.121121794898e-08
+    7.00510683763262e-08
+    6.99664529917105e-08
+    6.9960149572907e-08
+    6.99592948720523e-08
+    6.9958867521625e-08
+    6.99584401711976e-08
+    6.99581196583771e-08
+    6.99576923079497e-08
+    6.99573717951292e-08
+    6.99570512823087e-08
+    6.99567307694882e-08
+    6.99565170942745e-08
+    6.9956196581454e-08
+    6.99559829062403e-08
+    6.99557692310267e-08
+    6.9955555555813e-08
+    6.99553418805993e-08
+    6.99551282053856e-08
+    6.9954914530172e-08
+    6.99547008549583e-08
+    6.99545940173514e-08
+    6.99543803421378e-08
+    6.99542735045309e-08
+    6.99541666669241e-08
+    6.99539529917104e-08
+    6.99538461541036e-08
+    6.99537393164967e-08
+    6.99536324788899e-08
+    6.99535256412831e-08
+    6.99534188036762e-08
+    6.99533119660694e-08
+    6.99532051284625e-08
+    6.99532051284625e-08
+    6.99530982908557e-08
+    6.99529914532489e-08
+    6.9952884615642e-08
+    6.9952884615642e-08
+    6.99527777780352e-08
+    6.99527777780352e-08
+    6.99526709404284e-08
+    6.99526709404284e-08
+    6.99525641028215e-08
+    6.99525641028215e-08
+    6.99524572652147e-08
+    6.99524572652147e-08
+    6.99524572652147e-08
+    6.99523504276079e-08
+    6.99523504276079e-08
+    6.99523504276079e-08
+    6.9952243590001e-08
+    6.9952243590001e-08
+    6.9952243590001e-08
+    6.99521367523942e-08
+    6.99521367523942e-08
+    6.99521367523942e-08
+    6.99521367523942e-08
+    6.99521367523942e-08
+    6.99521367523942e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99519230771805e-08
+    6.99519230771805e-08
+    6.99519230771805e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+    6.99520299147873e-08
+)
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/constant/boundaryData/inlet/0/omega

@@ -0,0 +1,542 @@
+534
+(
+    // zmin
+    1142303.7599958
+    1142303.7599958
+    196934.399999275
+    67118.500799753
+    32071.665599882
+    18565.7471999317
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+    8692.65071996801
+    6630.3057599756
+    5310.30239998046
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+    3272.13431998796
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+    1289.59271999525
+    1202.05799999558
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+    1051.79255999613
+    987.002639996368
+    928.012175996585
+    874.150991996783
+    824.851871996965
+    779.617799997131
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+    51.2125847998115
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+    32.9368103998788
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+    12.0163679999558
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+    10.1810591999625
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+    8.96959439996699
+    8.54044775996857
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+    0.793618487997079
+    0.793613807997079
+    0.793610999997079
+    0.793608191997079
+    0.793605383997079
+    0.79360351199708
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+    0.79359789599708
+    0.79359602399708
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+    0.79359321599708
+    0.79359227999708
+    0.79359040799708
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+    0.79358666399708
+    0.79358572799708
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+    0.79358479199708
+    0.79358385599708
+    0.79358385599708
+    0.79358385599708
+    0.79358291999708
+    0.79358291999708
+    0.79358291999708
+    0.79358291999708
+    0.79358291999708
+    0.79358291999708
+    0.79358291999708
+    0.79358291999708
+    0.79358291999708
+    0.79358291999708
+    0.79358291999708
+    0.79358385599708
+    0.79358385599708
+    0.79358385599708
+    0.79358479199708
+    0.79358479199708
+    0.79358572799708
+    0.79358572799708
+    0.79358666399708
+    0.79358666399708
+    0.79358759999708
+    0.79358853599708
+    0.79358853599708
+    0.79358947199708
+    0.79359040799708
+    0.79359134399708
+    0.79359227999708
+    0.79359321599708
+    0.79359321599708
+    0.793594151997079
+    0.79359602399708
+    0.793596959997079
+    0.79359789599708
+    0.79359883199708
+    0.79359976799708
+    0.793600703997079
+    0.79360257599708
+    0.79360351199708
+    0.793605383997079
+    0.79360631999708
+    0.793608191997079
+    0.793609127997079
+    0.793610999997079
+    0.793611935997079
+    0.793613807997079
+    0.793615679997079
+    0.79361755199708
+    0.793619423997079
+    0.793620359997079
+    0.793622231997079
+    0.793625039997079
+    0.793626911997079
+    0.793628783997079
+    0.793628783997079
+
+    // zmax
+    1142303.7599958
+    1142303.7599958
+    196934.399999275
+    67118.500799753
+    32071.665599882
+    18565.7471999317
+    12160.8863999552
+    8692.65071996801
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+    4410.43199998377
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+    2319.63263999146
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+    1496.39255999449
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+    1202.05799999558
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+    928.012175996585
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+    630.868679997678
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+    276.207983998984
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+    159.596423999413
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+    113.514335999582
+    109.800287999596
+    106.221959999609
+    102.773735999622
+    99.449063999634
+    96.2451359996458
+    93.1550255996572
+    90.1750823996682
+    87.3008135996787
+    84.5281007996889
+    81.8528255996988
+    79.2712439997083
+    76.7797991997175
+    74.3750279997263
+    72.0535607997348
+    69.8124023997431
+    67.648463999751
+    65.5588439997587
+    63.5408279997662
+    61.5917951997734
+    59.7092183997803
+    57.890757599787
+    56.1339791997934
+    54.4367303997997
+    52.7969519998057
+    51.2125847998115
+    49.6815695998172
+    48.2021279998226
+    46.7724815998279
+    45.390945599833
+    44.0557415998379
+    42.7653719998426
+    41.5183391998472
+    40.3131455998517
+    39.1483871998559
+    38.0226599998601
+    36.9347471998641
+    35.883338399868
+    34.8673103998717
+    33.8855399998753
+    32.9368103998788
+    32.0200919998822
+    31.1344487998854
+    30.2787575998886
+    29.4521759998916
+    28.6538615998946
+    27.8827847998974
+    27.1381967999001
+    26.4193487999028
+    25.7254919999053
+    25.0556903999078
+    24.4094759999102
+    23.7860999999125
+    23.1848135999147
+    22.6051487999168
+    22.0464503999189
+    21.5081567999209
+    20.9897999999228
+    20.4907247999246
+    20.0106503999264
+    19.5491087999281
+    19.1055383999297
+    18.6795647999313
+    18.2710007999328
+    17.8792847999342
+    17.5042295999356
+    17.1456479999369
+    16.8030719999382
+    16.4765015999394
+    16.1650007999405
+    15.8676335999416
+    15.5835575999427
+    15.3119303999437
+    15.0521903999446
+    14.8036823999455
+    14.5656575999464
+    14.3376479999472
+    14.118998399948
+    13.9089599999488
+    13.7067839999496
+    13.5116279999503
+    13.322368799951
+    13.1376023999517
+    12.9560183999523
+    12.775744799953
+    12.5944415999537
+    12.4096751999543
+    12.218169599955
+    12.0163679999558
+    11.8002455999566
+    11.5656839999574
+    11.3095943999584
+    11.0333807999594
+    10.7477135999605
+    10.4618591999615
+    10.1810591999625
+    9.90400319996355
+    9.6199271999646
+    9.31570847996572
+    8.96959439996699
+    8.54044775996857
+    7.9360912799708
+    6.92277767997452
+    5.0819745599813
+    2.72015639998999
+    1.22100263999551
+    0.83973146399691
+    0.797361551997066
+    0.793905839997078
+    0.793640951997079
+    0.793618487997079
+    0.793613807997079
+    0.793610999997079
+    0.793608191997079
+    0.793605383997079
+    0.79360351199708
+    0.79360163999708
+    0.79359976799708
+    0.79359789599708
+    0.79359602399708
+    0.793594151997079
+    0.79359321599708
+    0.79359227999708
+    0.79359040799708
+    0.79358947199708
+    0.79358853599708
+    0.79358759999708
+    0.79358666399708
+    0.79358666399708
+    0.79358572799708
+    0.79358479199708
+    0.79358479199708
+    0.79358385599708
+    0.79358385599708
+    0.79358385599708
+    0.79358291999708
+    0.79358291999708
+    0.79358291999708
+    0.79358291999708
+    0.79358291999708
+    0.79358291999708
+    0.79358291999708
+    0.79358291999708
+    0.79358291999708
+    0.79358291999708
+    0.79358291999708
+    0.79358385599708
+    0.79358385599708
+    0.79358385599708
+    0.79358479199708
+    0.79358479199708
+    0.79358572799708
+    0.79358572799708
+    0.79358666399708
+    0.79358666399708
+    0.79358759999708
+    0.79358853599708
+    0.79358853599708
+    0.79358947199708
+    0.79359040799708
+    0.79359134399708
+    0.79359227999708
+    0.79359321599708
+    0.79359321599708
+    0.793594151997079
+    0.79359602399708
+    0.793596959997079
+    0.79359789599708
+    0.79359883199708
+    0.79359976799708
+    0.793600703997079
+    0.79360257599708
+    0.79360351199708
+    0.793605383997079
+    0.79360631999708
+    0.793608191997079
+    0.793609127997079
+    0.793610999997079
+    0.793611935997079
+    0.793613807997079
+    0.793615679997079
+    0.79361755199708
+    0.793619423997079
+    0.793620359997079
+    0.793622231997079
+    0.793625039997079
+    0.793626911997079
+    0.793628783997079
+    0.793628783997079
+)
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/constant/boundaryData/inlet/points

@@ -0,0 +1,542 @@
+534
+(
+    // zmin
+    (-2.14 0 0)
+    (-2.14 8.65000e-06 0)
+    (-2.14 2.59580e-05 0)
+    (-2.14 4.32902e-05 0)
+    (-2.14 6.06627e-05 0)
+    (-2.14 7.80916e-05 0)
+    (-2.14 9.55932e-05 0)
+    (-2.14 1.13184e-04 0)
+    (-2.14 1.30879e-04 0)
+    (-2.14 1.48697e-04 0)
+    (-2.14 1.66653e-04 0)
+    (-2.14 1.84764e-04 0)
+    (-2.14 2.03047e-04 0)
+    (-2.14 2.21518e-04 0)
+    (-2.14 2.40196e-04 0)
+    (-2.14 2.59097e-04 0)
+    (-2.14 2.78240e-04 0)
+    (-2.14 2.97641e-04 0)
+    (-2.14 3.17319e-04 0)
+    (-2.14 3.37292e-04 0)
+    (-2.14 3.57579e-04 0)
+    (-2.14 3.78199e-04 0)
+    (-2.14 3.99170e-04 0)
+    (-2.14 4.20513e-04 0)
+    (-2.14 4.42247e-04 0)
+    (-2.14 4.64393e-04 0)
+    (-2.14 4.86970e-04 0)
+    (-2.14 5.10001e-04 0)
+    (-2.14 5.33506e-04 0)
+    (-2.14 5.57507e-04 0)
+    (-2.14 5.82027e-04 0)
+    (-2.14 6.07089e-04 0)
+    (-2.14 6.32715e-04 0)
+    (-2.14 6.58930e-04 0)
+    (-2.14 6.85758e-04 0)
+    (-2.14 7.13223e-04 0)
+    (-2.14 7.41353e-04 0)
+    (-2.14 7.70172e-04 0)
+    (-2.14 7.99707e-04 0)
+    (-2.14 8.29987e-04 0)
+    (-2.14 8.61039e-04 0)
+    (-2.14 8.92891e-04 0)
+    (-2.14 9.25575e-04 0)
+    (-2.14 9.59119e-04 0)
+    (-2.14 9.93556e-04 0)
+    (-2.14 1.02892e-03 0)
+    (-2.14 1.06524e-03 0)
+    (-2.14 1.10254e-03 0)
+    (-2.14 1.14088e-03 0)
+    (-2.14 1.18028e-03 0)
+    (-2.14 1.22077e-03 0)
+    (-2.14 1.26240e-03 0)
+    (-2.14 1.30520e-03 0)
+    (-2.14 1.34922e-03 0)
+    (-2.14 1.39450e-03 0)
+    (-2.14 1.44107e-03 0)
+    (-2.14 1.48898e-03 0)
+    (-2.14 1.53828e-03 0)
+    (-2.14 1.58901e-03 0)
+    (-2.14 1.64121e-03 0)
+    (-2.14 1.69495e-03 0)
+    (-2.14 1.75026e-03 0)
+    (-2.14 1.80719e-03 0)
+    (-2.14 1.86581e-03 0)
+    (-2.14 1.92617e-03 0)
+    (-2.14 1.98832e-03 0)
+    (-2.14 2.05231e-03 0)
+    (-2.14 2.11822e-03 0)
+    (-2.14 2.18610e-03 0)
+    (-2.14 2.25601e-03 0)
+    (-2.14 2.32802e-03 0)
+    (-2.14 2.40219e-03 0)
+    (-2.14 2.47860e-03 0)
+    (-2.14 2.55732e-03 0)
+    (-2.14 2.63841e-03 0)
+    (-2.14 2.72196e-03 0)
+    (-2.14 2.80804e-03 0)
+    (-2.14 2.89674e-03 0)
+    (-2.14 2.98813e-03 0)
+    (-2.14 3.08230e-03 0)
+    (-2.14 3.17933e-03 0)
+    (-2.14 3.27933e-03 0)
+    (-2.14 3.38237e-03 0)
+    (-2.14 3.48856e-03 0)
+    (-2.14 3.59800e-03 0)
+    (-2.14 3.71079e-03 0)
+    (-2.14 3.82702e-03 0)
+    (-2.14 3.94682e-03 0)
+    (-2.14 4.07029e-03 0)
+    (-2.14 4.19754e-03 0)
+    (-2.14 4.32870e-03 0)
+    (-2.14 4.46389e-03 0)
+    (-2.14 4.60323e-03 0)
+    (-2.14 4.74685e-03 0)
+    (-2.14 4.89489e-03 0)
+    (-2.14 5.04748e-03 0)
+    (-2.14 5.20477e-03 0)
+    (-2.14 5.36690e-03 0)
+    (-2.14 5.53402e-03 0)
+    (-2.14 5.70630e-03 0)
+    (-2.14 5.88388e-03 0)
+    (-2.14 6.06693e-03 0)
+    (-2.14 6.25563e-03 0)
+    (-2.14 6.45015e-03 0)
+    (-2.14 6.65066e-03 0)
+    (-2.14 6.85737e-03 0)
+    (-2.14 7.07045e-03 0)
+    (-2.14 7.29012e-03 0)
+    (-2.14 7.51656e-03 0)
+    (-2.14 7.75000e-03 0)
+    (-2.14 7.99065e-03 0)
+    (-2.14 8.23873e-03 0)
+    (-2.14 8.49447e-03 0)
+    (-2.14 8.75812e-03 0)
+    (-2.14 9.02992e-03 0)
+    (-2.14 9.31011e-03 0)
+    (-2.14 9.59897e-03 0)
+    (-2.14 9.89676e-03 0)
+    (-2.14 1.02038e-02 0)
+    (-2.14 1.05202e-02 0)
+    (-2.14 1.08465e-02 0)
+    (-2.14 1.11829e-02 0)
+    (-2.14 1.15297e-02 0)
+    (-2.14 1.18871e-02 0)
+    (-2.14 1.22557e-02 0)
+    (-2.14 1.26357e-02 0)
+    (-2.14 1.30274e-02 0)
+    (-2.14 1.34312e-02 0)
+    (-2.14 1.38475e-02 0)
+    (-2.14 1.42767e-02 0)
+    (-2.14 1.47192e-02 0)
+    (-2.14 1.51754e-02 0)
+    (-2.14 1.56457e-02 0)
+    (-2.14 1.61306e-02 0)
+    (-2.14 1.66304e-02 0)
+    (-2.14 1.71458e-02 0)
+    (-2.14 1.76770e-02 0)
+    (-2.14 1.82248e-02 0)
+    (-2.14 1.87895e-02 0)
+    (-2.14 1.93716e-02 0)
+    (-2.14 1.99718e-02 0)
+    (-2.14 2.05906e-02 0)
+    (-2.14 2.12285e-02 0)
+    (-2.14 2.18862e-02 0)
+    (-2.14 2.25642e-02 0)
+    (-2.14 2.32632e-02 0)
+    (-2.14 2.39839e-02 0)
+    (-2.14 2.47269e-02 0)
+    (-2.14 2.54928e-02 0)
+    (-2.14 2.62825e-02 0)
+    (-2.14 2.70967e-02 0)
+    (-2.14 2.79360e-02 0)
+    (-2.14 2.88014e-02 0)
+    (-2.14 2.96935e-02 0)
+    (-2.14 3.06133e-02 0)
+    (-2.14 3.15615e-02 0)
+    (-2.14 3.25391e-02 0)
+    (-2.14 3.35470e-02 0)
+    (-2.14 3.45861e-02 0)
+    (-2.14 3.56574e-02 0)
+    (-2.14 3.67618e-02 0)
+    (-2.14 3.79004e-02 0)
+    (-2.14 3.90743e-02 0)
+    (-2.14 4.02846e-02 0)
+    (-2.14 4.15323e-02 0)
+    (-2.14 4.28187e-02 0)
+    (-2.14 4.41449e-02 0)
+    (-2.14 4.55121e-02 0)
+    (-2.14 4.69217e-02 0)
+    (-2.14 4.83750e-02 0)
+    (-2.14 4.98733e-02 0)
+    (-2.14 5.14179e-02 0)
+    (-2.14 5.30104e-02 0)
+    (-2.14 5.46522e-02 0)
+    (-2.14 5.63449e-02 0)
+    (-2.14 5.80899e-02 0)
+    (-2.14 5.98890e-02 0)
+    (-2.14 6.17439e-02 0)
+    (-2.14 6.36561e-02 0)
+    (-2.14 6.56276e-02 0)
+    (-2.14 6.76602e-02 0)
+    (-2.14 6.97557e-02 0)
+    (-2.14 7.19160e-02 0)
+    (-2.14 7.41433e-02 0)
+    (-2.14 7.64396e-02 0)
+    (-2.14 7.88070e-02 0)
+    (-2.14 8.12476e-02 0)
+    (-2.14 8.37639e-02 0)
+    (-2.14 8.63581e-02 0)
+    (-2.14 8.90327e-02 0)
+    (-2.14 9.17900e-02 0)
+    (-2.14 9.46328e-02 0)
+    (-2.14 9.75636e-02 0)
+    (-2.14 1.00585e-01 0)
+    (-2.14 1.03700e-01 0)
+    (-2.14 1.06912e-01 0)
+    (-2.14 1.10223e-01 0)
+    (-2.14 1.13637e-01 0)
+    (-2.14 1.17156e-01 0)
+    (-2.14 1.20784e-01 0)
+    (-2.14 1.24525e-01 0)
+    (-2.14 1.28381e-01 0)
+    (-2.14 1.32357e-01 0)
+    (-2.14 1.36457e-01 0)
+    (-2.14 1.40683e-01 0)
+    (-2.14 1.45040e-01 0)
+    (-2.14 1.49531e-01 0)
+    (-2.14 1.54162e-01 0)
+    (-2.14 1.58937e-01 0)
+    (-2.14 1.63859e-01 0)
+    (-2.14 1.68934e-01 0)
+    (-2.14 1.74166e-01 0)
+    (-2.14 1.79559e-01 0)
+    (-2.14 1.85120e-01 0)
+    (-2.14 1.90854e-01 0)
+    (-2.14 1.96764e-01 0)
+    (-2.14 2.02858e-01 0)
+    (-2.14 2.09140e-01 0)
+    (-2.14 2.15618e-01 0)
+    (-2.14 2.22295e-01 0)
+    (-2.14 2.29180e-01 0)
+    (-2.14 2.36277e-01 0)
+    (-2.14 2.43595e-01 0)
+    (-2.14 2.51139e-01 0)
+    (-2.14 2.58916e-01 0)
+    (-2.14 2.66935e-01 0)
+    (-2.14 2.75202e-01 0)
+    (-2.14 2.83725e-01 0)
+    (-2.14 2.92512e-01 0)
+    (-2.14 3.01571e-01 0)
+    (-2.14 3.10910e-01 0)
+    (-2.14 3.20539e-01 0)
+    (-2.14 3.30466e-01 0)
+    (-2.14 3.40701e-01 0)
+    (-2.14 3.51252e-01 0)
+    (-2.14 3.62130e-01 0)
+    (-2.14 3.73345e-01 0)
+    (-2.14 3.84908e-01 0)
+    (-2.14 3.96828e-01 0)
+    (-2.14 4.09118e-01 0)
+    (-2.14 4.21788e-01 0)
+    (-2.14 4.34851e-01 0)
+    (-2.14 4.48318e-01 0)
+    (-2.14 4.62202e-01 0)
+    (-2.14 4.76516e-01 0)
+    (-2.14 4.91274e-01 0)
+    (-2.14 5.06489e-01 0)
+    (-2.14 5.22174e-01 0)
+    (-2.14 5.38346e-01 0)
+    (-2.14 5.55019e-01 0)
+    (-2.14 5.72207e-01 0)
+    (-2.14 5.89928e-01 0)
+    (-2.14 6.08198e-01 0)
+    (-2.14 6.27034e-01 0)
+    (-2.14 6.46453e-01 0)
+    (-2.14 6.66473e-01 0)
+    (-2.14 6.87114e-01 0)
+    (-2.14 7.08394e-01 0)
+    (-2.14 7.30332e-01 0)
+    (-2.14 7.52951e-01 0)
+    (-2.14 7.76269e-01 0)
+    (-2.14 8.00310e-01 0)
+    (-2.14 8.25095e-01 0)
+    (-2.14 8.50648e-01 0)
+    (-2.14 8.76993e-01 0)
+    (-2.14 9.04153e-01 0)
+    (-2.14 0.90905 0)
+
+    // zmax
+    (-2.14 0 0.4)
+    (-2.14 8.65000e-06 0.4)
+    (-2.14 2.59580e-05 0.4)
+    (-2.14 4.32902e-05 0.4)
+    (-2.14 6.06627e-05 0.4)
+    (-2.14 7.80916e-05 0.4)
+    (-2.14 9.55932e-05 0.4)
+    (-2.14 1.13184e-04 0.4)
+    (-2.14 1.30879e-04 0.4)
+    (-2.14 1.48697e-04 0.4)
+    (-2.14 1.66653e-04 0.4)
+    (-2.14 1.84764e-04 0.4)
+    (-2.14 2.03047e-04 0.4)
+    (-2.14 2.21518e-04 0.4)
+    (-2.14 2.40196e-04 0.4)
+    (-2.14 2.59097e-04 0.4)
+    (-2.14 2.78240e-04 0.4)
+    (-2.14 2.97641e-04 0.4)
+    (-2.14 3.17319e-04 0.4)
+    (-2.14 3.37292e-04 0.4)
+    (-2.14 3.57579e-04 0.4)
+    (-2.14 3.78199e-04 0.4)
+    (-2.14 3.99170e-04 0.4)
+    (-2.14 4.20513e-04 0.4)
+    (-2.14 4.42247e-04 0.4)
+    (-2.14 4.64393e-04 0.4)
+    (-2.14 4.86970e-04 0.4)
+    (-2.14 5.10001e-04 0.4)
+    (-2.14 5.33506e-04 0.4)
+    (-2.14 5.57507e-04 0.4)
+    (-2.14 5.82027e-04 0.4)
+    (-2.14 6.07089e-04 0.4)
+    (-2.14 6.32715e-04 0.4)
+    (-2.14 6.58930e-04 0.4)
+    (-2.14 6.85758e-04 0.4)
+    (-2.14 7.13223e-04 0.4)
+    (-2.14 7.41353e-04 0.4)
+    (-2.14 7.70172e-04 0.4)
+    (-2.14 7.99707e-04 0.4)
+    (-2.14 8.29987e-04 0.4)
+    (-2.14 8.61039e-04 0.4)
+    (-2.14 8.92891e-04 0.4)
+    (-2.14 9.25575e-04 0.4)
+    (-2.14 9.59119e-04 0.4)
+    (-2.14 9.93556e-04 0.4)
+    (-2.14 1.02892e-03 0.4)
+    (-2.14 1.06524e-03 0.4)
+    (-2.14 1.10254e-03 0.4)
+    (-2.14 1.14088e-03 0.4)
+    (-2.14 1.18028e-03 0.4)
+    (-2.14 1.22077e-03 0.4)
+    (-2.14 1.26240e-03 0.4)
+    (-2.14 1.30520e-03 0.4)
+    (-2.14 1.34922e-03 0.4)
+    (-2.14 1.39450e-03 0.4)
+    (-2.14 1.44107e-03 0.4)
+    (-2.14 1.48898e-03 0.4)
+    (-2.14 1.53828e-03 0.4)
+    (-2.14 1.58901e-03 0.4)
+    (-2.14 1.64121e-03 0.4)
+    (-2.14 1.69495e-03 0.4)
+    (-2.14 1.75026e-03 0.4)
+    (-2.14 1.80719e-03 0.4)
+    (-2.14 1.86581e-03 0.4)
+    (-2.14 1.92617e-03 0.4)
+    (-2.14 1.98832e-03 0.4)
+    (-2.14 2.05231e-03 0.4)
+    (-2.14 2.11822e-03 0.4)
+    (-2.14 2.18610e-03 0.4)
+    (-2.14 2.25601e-03 0.4)
+    (-2.14 2.32802e-03 0.4)
+    (-2.14 2.40219e-03 0.4)
+    (-2.14 2.47860e-03 0.4)
+    (-2.14 2.55732e-03 0.4)
+    (-2.14 2.63841e-03 0.4)
+    (-2.14 2.72196e-03 0.4)
+    (-2.14 2.80804e-03 0.4)
+    (-2.14 2.89674e-03 0.4)
+    (-2.14 2.98813e-03 0.4)
+    (-2.14 3.08230e-03 0.4)
+    (-2.14 3.17933e-03 0.4)
+    (-2.14 3.27933e-03 0.4)
+    (-2.14 3.38237e-03 0.4)
+    (-2.14 3.48856e-03 0.4)
+    (-2.14 3.59800e-03 0.4)
+    (-2.14 3.71079e-03 0.4)
+    (-2.14 3.82702e-03 0.4)
+    (-2.14 3.94682e-03 0.4)
+    (-2.14 4.07029e-03 0.4)
+    (-2.14 4.19754e-03 0.4)
+    (-2.14 4.32870e-03 0.4)
+    (-2.14 4.46389e-03 0.4)
+    (-2.14 4.60323e-03 0.4)
+    (-2.14 4.74685e-03 0.4)
+    (-2.14 4.89489e-03 0.4)
+    (-2.14 5.04748e-03 0.4)
+    (-2.14 5.20477e-03 0.4)
+    (-2.14 5.36690e-03 0.4)
+    (-2.14 5.53402e-03 0.4)
+    (-2.14 5.70630e-03 0.4)
+    (-2.14 5.88388e-03 0.4)
+    (-2.14 6.06693e-03 0.4)
+    (-2.14 6.25563e-03 0.4)
+    (-2.14 6.45015e-03 0.4)
+    (-2.14 6.65066e-03 0.4)
+    (-2.14 6.85737e-03 0.4)
+    (-2.14 7.07045e-03 0.4)
+    (-2.14 7.29012e-03 0.4)
+    (-2.14 7.51656e-03 0.4)
+    (-2.14 7.75000e-03 0.4)
+    (-2.14 7.99065e-03 0.4)
+    (-2.14 8.23873e-03 0.4)
+    (-2.14 8.49447e-03 0.4)
+    (-2.14 8.75812e-03 0.4)
+    (-2.14 9.02992e-03 0.4)
+    (-2.14 9.31011e-03 0.4)
+    (-2.14 9.59897e-03 0.4)
+    (-2.14 9.89676e-03 0.4)
+    (-2.14 1.02038e-02 0.4)
+    (-2.14 1.05202e-02 0.4)
+    (-2.14 1.08465e-02 0.4)
+    (-2.14 1.11829e-02 0.4)
+    (-2.14 1.15297e-02 0.4)
+    (-2.14 1.18871e-02 0.4)
+    (-2.14 1.22557e-02 0.4)
+    (-2.14 1.26357e-02 0.4)
+    (-2.14 1.30274e-02 0.4)
+    (-2.14 1.34312e-02 0.4)
+    (-2.14 1.38475e-02 0.4)
+    (-2.14 1.42767e-02 0.4)
+    (-2.14 1.47192e-02 0.4)
+    (-2.14 1.51754e-02 0.4)
+    (-2.14 1.56457e-02 0.4)
+    (-2.14 1.61306e-02 0.4)
+    (-2.14 1.66304e-02 0.4)
+    (-2.14 1.71458e-02 0.4)
+    (-2.14 1.76770e-02 0.4)
+    (-2.14 1.82248e-02 0.4)
+    (-2.14 1.87895e-02 0.4)
+    (-2.14 1.93716e-02 0.4)
+    (-2.14 1.99718e-02 0.4)
+    (-2.14 2.05906e-02 0.4)
+    (-2.14 2.12285e-02 0.4)
+    (-2.14 2.18862e-02 0.4)
+    (-2.14 2.25642e-02 0.4)
+    (-2.14 2.32632e-02 0.4)
+    (-2.14 2.39839e-02 0.4)
+    (-2.14 2.47269e-02 0.4)
+    (-2.14 2.54928e-02 0.4)
+    (-2.14 2.62825e-02 0.4)
+    (-2.14 2.70967e-02 0.4)
+    (-2.14 2.79360e-02 0.4)
+    (-2.14 2.88014e-02 0.4)
+    (-2.14 2.96935e-02 0.4)
+    (-2.14 3.06133e-02 0.4)
+    (-2.14 3.15615e-02 0.4)
+    (-2.14 3.25391e-02 0.4)
+    (-2.14 3.35470e-02 0.4)
+    (-2.14 3.45861e-02 0.4)
+    (-2.14 3.56574e-02 0.4)
+    (-2.14 3.67618e-02 0.4)
+    (-2.14 3.79004e-02 0.4)
+    (-2.14 3.90743e-02 0.4)
+    (-2.14 4.02846e-02 0.4)
+    (-2.14 4.15323e-02 0.4)
+    (-2.14 4.28187e-02 0.4)
+    (-2.14 4.41449e-02 0.4)
+    (-2.14 4.55121e-02 0.4)
+    (-2.14 4.69217e-02 0.4)
+    (-2.14 4.83750e-02 0.4)
+    (-2.14 4.98733e-02 0.4)
+    (-2.14 5.14179e-02 0.4)
+    (-2.14 5.30104e-02 0.4)
+    (-2.14 5.46522e-02 0.4)
+    (-2.14 5.63449e-02 0.4)
+    (-2.14 5.80899e-02 0.4)
+    (-2.14 5.98890e-02 0.4)
+    (-2.14 6.17439e-02 0.4)
+    (-2.14 6.36561e-02 0.4)
+    (-2.14 6.56276e-02 0.4)
+    (-2.14 6.76602e-02 0.4)
+    (-2.14 6.97557e-02 0.4)
+    (-2.14 7.19160e-02 0.4)
+    (-2.14 7.41433e-02 0.4)
+    (-2.14 7.64396e-02 0.4)
+    (-2.14 7.88070e-02 0.4)
+    (-2.14 8.12476e-02 0.4)
+    (-2.14 8.37639e-02 0.4)
+    (-2.14 8.63581e-02 0.4)
+    (-2.14 8.90327e-02 0.4)
+    (-2.14 9.17900e-02 0.4)
+    (-2.14 9.46328e-02 0.4)
+    (-2.14 9.75636e-02 0.4)
+    (-2.14 1.00585e-01 0.4)
+    (-2.14 1.03700e-01 0.4)
+    (-2.14 1.06912e-01 0.4)
+    (-2.14 1.10223e-01 0.4)
+    (-2.14 1.13637e-01 0.4)
+    (-2.14 1.17156e-01 0.4)
+    (-2.14 1.20784e-01 0.4)
+    (-2.14 1.24525e-01 0.4)
+    (-2.14 1.28381e-01 0.4)
+    (-2.14 1.32357e-01 0.4)
+    (-2.14 1.36457e-01 0.4)
+    (-2.14 1.40683e-01 0.4)
+    (-2.14 1.45040e-01 0.4)
+    (-2.14 1.49531e-01 0.4)
+    (-2.14 1.54162e-01 0.4)
+    (-2.14 1.58937e-01 0.4)
+    (-2.14 1.63859e-01 0.4)
+    (-2.14 1.68934e-01 0.4)
+    (-2.14 1.74166e-01 0.4)
+    (-2.14 1.79559e-01 0.4)
+    (-2.14 1.85120e-01 0.4)
+    (-2.14 1.90854e-01 0.4)
+    (-2.14 1.96764e-01 0.4)
+    (-2.14 2.02858e-01 0.4)
+    (-2.14 2.09140e-01 0.4)
+    (-2.14 2.15618e-01 0.4)
+    (-2.14 2.22295e-01 0.4)
+    (-2.14 2.29180e-01 0.4)
+    (-2.14 2.36277e-01 0.4)
+    (-2.14 2.43595e-01 0.4)
+    (-2.14 2.51139e-01 0.4)
+    (-2.14 2.58916e-01 0.4)
+    (-2.14 2.66935e-01 0.4)
+    (-2.14 2.75202e-01 0.4)
+    (-2.14 2.83725e-01 0.4)
+    (-2.14 2.92512e-01 0.4)
+    (-2.14 3.01571e-01 0.4)
+    (-2.14 3.10910e-01 0.4)
+    (-2.14 3.20539e-01 0.4)
+    (-2.14 3.30466e-01 0.4)
+    (-2.14 3.40701e-01 0.4)
+    (-2.14 3.51252e-01 0.4)
+    (-2.14 3.62130e-01 0.4)
+    (-2.14 3.73345e-01 0.4)
+    (-2.14 3.84908e-01 0.4)
+    (-2.14 3.96828e-01 0.4)
+    (-2.14 4.09118e-01 0.4)
+    (-2.14 4.21788e-01 0.4)
+    (-2.14 4.34851e-01 0.4)
+    (-2.14 4.48318e-01 0.4)
+    (-2.14 4.62202e-01 0.4)
+    (-2.14 4.76516e-01 0.4)
+    (-2.14 4.91274e-01 0.4)
+    (-2.14 5.06489e-01 0.4)
+    (-2.14 5.22174e-01 0.4)
+    (-2.14 5.38346e-01 0.4)
+    (-2.14 5.55019e-01 0.4)
+    (-2.14 5.72207e-01 0.4)
+    (-2.14 5.89928e-01 0.4)
+    (-2.14 6.08198e-01 0.4)
+    (-2.14 6.27034e-01 0.4)
+    (-2.14 6.46453e-01 0.4)
+    (-2.14 6.66473e-01 0.4)
+    (-2.14 6.87114e-01 0.4)
+    (-2.14 7.08394e-01 0.4)
+    (-2.14 7.30332e-01 0.4)
+    (-2.14 7.52951e-01 0.4)
+    (-2.14 7.76269e-01 0.4)
+    (-2.14 8.00310e-01 0.4)
+    (-2.14 8.25095e-01 0.4)
+    (-2.14 8.50648e-01 0.4)
+    (-2.14 8.76993e-01 0.4)
+    (-2.14 9.04153e-01 0.4)
+    (-2.14 0.90905 0.4)
+)
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/constant/transportProperties

@@ -0,0 +1,21 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2206                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    object      transportProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+transportModel  Newtonian;
+
+nu              1.06837606838e-06;
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/system/blockMeshDict

@@ -0,0 +1,552 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2206                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    object      blockMeshDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+scale       1;
+
+// * * * * coordinate positions
+// x-coordinate of inlet patch
+xInlet      -2.14;
+
+// x-coordinates for end of x-Zone 1 (i.e. upstream of hump)
+x1Top       -0.5712197653;
+x1Bottom    0;
+
+// x-coordinates for end of x-Zone 2 (i.e. downstream of hump)
+x2Top       1.657187218;
+x2Bottom    1;
+
+// x-coordinate of outlet patch
+xOutlet     4;
+
+// min/max y-coordinate of tunnel
+yMin        0;
+yMax        0.90905;
+
+// min/max z-coordinate of tunnel
+zMin        0;
+zMax        0.4;
+
+// * * * * grid parameter
+// x-spacing at inlet
+dxInlet     0.1;
+
+// cell-to-cell growth ratio from inlet to hump (x-Zone 1)
+rxInlet     1.2;
+
+// x-spacing in focus region (i.e. hump region)
+dxFocus     0.005;
+
+// x-spacing at outlet
+dxOutlet    0.05;
+
+// cell-to-cell growth ratio from focus region to outlet (x-Zone 3)
+rxOutlet     1.2;
+
+// y-spacing of 1st near-wall cell at bottom wall
+dyWall      1.5e-05;
+
+// cell-to-cell growth ratio near the wall (y-Zone 1)
+ryBL        1.15;
+
+// vertical length of y-Zone 1
+LyBL        0.05;
+
+// y-spacing in focus region (y-Zone 2)
+dyFocus     0.005;        
+
+// vertical length of y-Zone 2
+LyFocus     0.11;
+
+// y-spacing in channel core (y-Zone 3)
+dyMid       0.025;
+
+// cell-to-cell growth from focus region to channel core (y-Zone 3)
+ryMid       1.2;
+
+// vertical length of y-Zone 3
+LyMid       0.34;
+
+// cell-to-cell growth from channel core to top wall (y-Zone 4)
+ryTop       1.2;
+
+// y-spacing of 1st near-wall cell at top wall
+dyTop       0.005;
+
+// uniform z-spacing (spanwise direction)
+dz          0.01;
+
+// * * * * meshing / x-direction
+
+// x-Zone 1 with grading
+NxCorrZ1    #codeStream
+{
+    code
+    #{
+        scalar tol        = 1.0e-10;
+        scalar residual   = 1.0e+10;
+        scalar expRcorr   = $rxInlet;
+        scalar totExpR    = $dxInlet/$dxFocus;
+        scalar Nx         = Foam::log(totExpR)/Foam::log(expRcorr);
+        scalar deltaStart = $dxFocus;
+        scalar lEdge      = $x1Bottom - $xInlet;
+        int iter          = 0;
+        int iterMax       = 100;
+
+        while ((residual > tol) && (iter < iterMax))
+        {
+            scalar coeff  = pow(totExpR, 1./(Nx-1.));
+            scalar coeffN = pow(totExpR, Nx/(Nx-1.));
+
+            scalar f      = (deltaStart*((1.-coeffN) / ((1.-coeff)))) - lEdge;
+            scalar fPrime = deltaStart * Foam::log(totExpR) * (1./sqr(Nx-1.)) * ((1.-coeff)*coeffN - (1.-coeffN)*coeff)/ sqr(1.-coeff);
+            Nx            = Nx - (f/fPrime);
+
+            residual      = mag((deltaStart*((1.-coeffN) / ((1.-coeff)))) - lEdge);
+            iter++;
+        }
+        os  << Nx << endl;
+    #};
+};
+totExpZ1x    #calc "$dxFocus/$dxInlet";
+NxZ1         #calc "static_cast<int>( $NxCorrZ1 )";
+totExpZ1xTop #calc "($x2Top - $x1Top)/($NxZ1*$dxInlet)";
+
+// x-Zone 2 with uniform spacing
+NxFocus     #calc "static_cast<int>( ($x2Bottom-$x1Bottom)/$dxFocus )";
+
+// x-Zone 3 with grading
+NxCorrZ3    #codeStream
+{
+    code
+    #{
+        scalar tol        = 1.0e-10;
+        scalar residual   = 1.0e+10;
+        scalar expRcorr   = $rxOutlet;
+        scalar totExpR    = $dxOutlet/(1.05377349658562*$dxFocus);
+        scalar Nx         = Foam::log(totExpR)/Foam::log(expRcorr);
+        scalar deltaStart = $dxFocus;
+        scalar lEdge      = $xOutlet - $x2Bottom;
+        int iter          = 0;
+        int iterMax       = 100;
+
+        while ((residual > tol) && (iter < iterMax))
+        {
+            scalar coeff  = pow(totExpR, 1./(Nx-1.));
+            scalar coeffN = pow(totExpR, Nx/(Nx-1.));
+
+            scalar f      = (deltaStart*((1.-coeffN) / ((1.-coeff)))) - lEdge;
+            scalar fPrime = deltaStart * Foam::log(totExpR) * (1./sqr(Nx-1.)) * ((1.-coeff)*coeffN - (1.-coeffN)*coeff)/ sqr(1.-coeff);
+            Nx            = Nx - (f/fPrime);
+
+            residual      = mag((deltaStart*((1.-coeffN) / ((1.-coeff)))) - lEdge);
+            iter++;
+        }
+        os  << Nx << endl;
+    #};
+};
+totExpZ3x    #calc "$dxOutlet/$dxFocus";
+NxZ3         #calc "static_cast<int>( $NxCorrZ3 )";
+
+rxOutletcorr #codeStream
+{
+    code
+    #{
+        scalar tol        = 1.0e-10;
+        scalar residual   = 1.0e+10;
+        scalar expRcorr   = $rxOutlet;
+        scalar deltaStart = 1.00141417674807*($x2Top - $x1Top)/$NxFocus;
+        scalar lEdge      = $xOutlet - $x2Top;
+        int Nx            = $NxZ3;
+        int iter          = 0;
+        int iterMax       = 100;
+
+        while ((residual > tol) && (iter < iterMax))
+        {
+            scalar f      = (deltaStart*((pow(expRcorr, Nx))-1)/(expRcorr-1)) - lEdge;
+            scalar fPrime = deltaStart*((expRcorr-1)*Nx*(pow(expRcorr, (Nx-1)))-((pow(expRcorr, Nx))-1))/(sqr(expRcorr-1));
+            expRcorr      = expRcorr - (f/fPrime);
+
+            residual      = mag((deltaStart*(pow(expRcorr, Nx)-1)/(expRcorr-1)) - lEdge);
+            iter++;
+        }
+        os  << expRcorr << endl;
+    #};
+};
+totExpZ3xTop #calc "pow($rxOutletcorr, $NxZ3-1.0)";
+
+// total number of cells in the x-direction
+Nx           #calc "static_cast<int>( $NxZ1 + $NxFocus + $NxZ3 )";
+
+// * * * * meshing / y-direction
+
+// y-Zone 1 with grading
+NyCorrZ1    #codeStream
+{
+    code
+    #{
+        scalar tol        = 1.0e-10;
+        scalar residual   = 1.0e+10;
+        scalar expRcorr   = $ryBL;
+        scalar totExpR    = $dyFocus/$dyWall;
+        scalar Nx         = Foam::log(totExpR)/Foam::log(expRcorr);
+        scalar deltaStart = $dyWall;
+        scalar lEdge      = $LyBL;
+        int iter          = 0;
+        int iterMax       = 100;
+
+        while ((residual > tol) && (iter < iterMax))
+        {
+            scalar coeff  = pow(totExpR, 1./(Nx-1.));
+            scalar coeffN = pow(totExpR, Nx/(Nx-1.));
+
+            scalar f      = (deltaStart*((1.-coeffN) / ((1.-coeff)))) - lEdge;
+            scalar fPrime = deltaStart * Foam::log(totExpR) * (1./sqr(Nx-1.)) * ((1.-coeff)*coeffN - (1.-coeffN)*coeff)/ sqr(1.-coeff);
+            Nx            = Nx - (f/fPrime);
+
+            residual      = mag((deltaStart*((1.-coeffN) / ((1.-coeff)))) - lEdge);
+            iter++;
+        }
+        os  << Nx << endl;
+    #};
+};
+totExpZ1y   #calc "$dyFocus/$dyWall";
+NyZ1        #calc "static_cast<int>( $NyCorrZ1 )";
+
+// y-Zone 2 with uniform spacing
+NyZ2        #calc "static_cast<int>( $LyFocus/$dyFocus )";
+
+// y-Zone 3 with grading
+NyCorrZ3    #codeStream
+{
+    code
+    #{
+        scalar tol        = 1.0e-10;
+        scalar residual   = 1.0e+10;
+        scalar expRcorr   = $ryMid;
+        scalar totExpR    = $dyMid/$dyFocus;
+        scalar Nx         = Foam::log(totExpR)/Foam::log(expRcorr);
+        scalar deltaStart = $dyFocus;
+        scalar lEdge      = $LyMid;
+        int iter          = 0;
+        int iterMax       = 100;
+
+        while ((residual > tol) && (iter < iterMax))
+        {
+            scalar coeff  = pow(totExpR, 1./(Nx-1.));
+            scalar coeffN = pow(totExpR, Nx/(Nx-1.));
+
+            scalar f      = (deltaStart*((1.-coeffN) / ((1.-coeff)))) - lEdge;
+            scalar fPrime = deltaStart * Foam::log(totExpR) * (1./sqr(Nx-1.)) * ((1.-coeff)*coeffN - (1.-coeffN)*coeff)/ sqr(1.-coeff);
+            Nx            = Nx - (f/fPrime);
+
+            residual      = mag((deltaStart*((1.-coeffN) / ((1.-coeff)))) - lEdge);
+            iter++;
+        }
+        os  << Nx << endl;
+    #};
+};
+totExpZ3y   #calc "$dyMid/$dyFocus";
+NyZ3        #calc "static_cast<int>( $NyCorrZ3 )";
+
+// y-Zone 4 with grading
+NyCorrZ4    #codeStream
+{
+    code
+    #{
+        scalar tol        = 1.0e-10;
+        scalar residual   = 1.0e+10;
+        scalar expRcorr   = $ryTop;
+        scalar totExpR    = $dyMid/$dyTop;
+        scalar Nx         = Foam::log(totExpR)/Foam::log(expRcorr);
+        scalar deltaStart = $dyTop;
+        scalar lEdge      = $yMax - $yMin - $LyMid - $LyFocus - $LyBL;
+        int iter          = 0;
+        int iterMax       = 100;
+
+        while ((residual > tol) && (iter < iterMax))
+        {
+            scalar coeff  = pow(totExpR, 1./(Nx-1.));
+            scalar coeffN = pow(totExpR, Nx/(Nx-1.));
+
+            scalar f      = (deltaStart*((1.-coeffN) / ((1.-coeff)))) - lEdge;
+            scalar fPrime = deltaStart * Foam::log(totExpR) * (1./sqr(Nx-1.)) * ((1.-coeff)*coeffN - (1.-coeffN)*coeff)/ sqr(1.-coeff);
+            Nx            = Nx - (f/fPrime);
+
+            residual      = mag((deltaStart*((1.-coeffN) / ((1.-coeff)))) - lEdge);
+            iter++;
+        }
+        os  << Nx << endl;
+    #};
+};
+totExpZ4y   #calc "$dyTop/$dyMid";
+NyZ4        #calc "static_cast<int>( $NyCorrZ4 )";
+
+// total number of cells in the y-direction
+Ny          #calc "static_cast<int>( $NyZ1 + $NyZ2 + $NyZ3 + $NyZ4 )";
+
+// * * * * meshing / z-direction
+
+// total number of cells in the z-direction
+Nz          #calc "static_cast<int>( ($zMax-$zMin)/$dz )";
+
+// * * * * report additional grid statistics
+#codeStream
+{
+    code
+    #{
+        Info  << endl;
+        Info  << "Computed grid parameters:" << endl;
+        Info  << "    > x-direction: " << endl;
+        Info  << "      - Zone 1 (x): " << endl;
+        Info  << "        - first spacing:                        dxInlet      = " << $dxInlet << " x c" << endl;
+        Info  << "        - last spacing:                         dxFocus      = " << $dxFocus << " x c" << endl;
+        Info  << "        - number of cells:                      NxZ1         = " << $NxZ1 << endl;
+        Info  << "        - cell-to-cell ratio (prescribed):      rxInlet      = " << $rxInlet << endl;
+        Info  << "        - first-to-last ratio (bottom):         totExpZ1x    = " << $totExpZ1x << endl;
+        Info  << "        - first-to-last ratio (top):            totExpZ1xTop = " << $totExpZ1xTop << endl;
+        Info  << "      - Zone 2 (x): " << endl;
+        Info  << "        - first / last spacing:                 dxFocus      = " << $dxFocus << " x c" << endl;
+        Info  << "        - number of cells:                      NxFocus      = " << $NxFocus << endl;
+        Info  << "        - cell-to-cell ratio:                   rxFocus      = 1" << endl;
+        Info  << "      - Zone 3 (x): " << endl;
+        Info  << "        - first spacing:                        dxFocus      = " << $dxFocus << " x c" << endl;
+        Info  << "        - last spacing:                         dxOutlet     = " << $dxOutlet << " x c" << endl;
+        Info  << "        - number of cells:                      NxZ3         = " << $NxZ3 << endl;
+        Info  << "        - cell-to-cell ratio (prescribed):      rxOutlet     = " << $rxOutlet << endl;
+        Info  << "        - cell-to-cell ratio (corrected,top):   rxOutletcorr = " << $rxOutletcorr << endl;
+        Info  << "        - first-to-last ratio (bottom):         totExpZ3x    = " << $totExpZ3x << endl;
+        Info  << "        - first-to-last ratio (top):            totExpZ3xTop = " << $totExpZ3xTop << endl;
+        Info  << "    - Total number of cells (x):              Nx           = " << $Nx << endl;
+        Info  << endl;
+        Info  << "    > y-directions: " << endl;
+        Info  << "      - Zone 1 (y): " << endl;
+        Info  << "        - length of edge:                       LyBL         = " << $LyBL << " x c" << endl;
+        Info  << "        - first spacing:                        dyWall       = " << $dyWall << " x c" << endl;
+        Info  << "        - last spacing:                         dyFocus      = " << $dyFocus << " x c" << endl;
+        Info  << "        - number of cells:                      NyZ1         = " << $NyZ1 << endl;
+        Info  << "        - cell-to-cell ratio (prescribed):      ryBL         = " << $ryBL << endl;
+        Info  << "        - first-to-last ratio:                  totExpZ1y    = " << $totExpZ1y << endl;
+        Info  << "      - Zone 2 (y): " << endl;
+        Info  << "        - length of edge:                       LyFocus      = " << $LyFocus << " x c" << endl;
+        Info  << "        - first / last spacing:                 dyFocus      = " << $dyFocus << " x c" << endl;
+        Info  << "        - number of cells:                      NyZ2         = " << $NyZ2 << endl;
+        Info  << "        - cell-to-cell ratio:                   ryFocus      = 1" << endl;
+        Info  << "      - Zone 3 (y): " << endl;
+        Info  << "        - length of edge:                       LyMid        = " << $LyMid << " x c" << endl;
+        Info  << "        - first spacing:                        dyFocus      = " << $dyFocus << " x c" << endl;
+        Info  << "        - last spacing:                         dyMid        = " << $dyMid << " x c" << endl;
+        Info  << "        - number of cells:                      NyZ3         = " << $NyZ3 << endl;
+        Info  << "        - cell-to-cell ratio (prescribed):      ryMid        = " << $ryMid << endl;
+        Info  << "        - first-to-last ratio:                  totExpZ3y    = " << $totExpZ3y << endl;
+        Info  << "      - Zone 4 (y): " << endl;
+        Info  << "        - first spacing:                        dyMid        = " << $dyMid << " x c" << endl;
+        Info  << "        - last spacing:                         dyTop        = " << $dyTop << " x c" << endl;
+        Info  << "        - number of cells:                      NyZ4         = " << $NyZ4 << endl;
+        Info  << "        - cell-to-cell ratio (prescribed):      ryTop        = " << $ryTop << endl;
+        Info  << "        - first-to-last ratio:                  totExpZ4y    = " << $totExpZ4y << endl;
+        Info  << "    - Total number of cells (y):              Ny           = " << $Ny << endl << endl;
+    #};
+};
+
+vertices
+(
+    ( $xInlet    $yMin  $zMax )  // 0
+    ( $xInlet    $yMin  $zMin )  // 1
+    ( $xInlet    $yMax  $zMax )  // 2
+    ( $xInlet    $yMax  $zMin )  // 3
+    ( $x1Bottom  $yMin  $zMax )  // 4
+    ( $x1Bottom  $yMin  $zMin )  // 5
+    ( $x1Top     $yMax  $zMax )  // 6
+    ( $x1Top     $yMax  $zMin )  // 7
+    ( $x2Bottom  $yMin  $zMax )  // 8
+    ( $x2Bottom  $yMin  $zMin )  // 9
+    ( $x2Top     $yMax  $zMax )  // 10
+    ( $x2Top     $yMax  $zMin )  // 11
+    ( $xOutlet   $yMin  $zMax )  // 12
+    ( $xOutlet   $yMin  $zMin )  // 13
+    ( $xOutlet   $yMax  $zMax )  // 14
+    ( $xOutlet   $yMax  $zMin )  // 15
+);
+
+zoneX1Bottom
+(
+    (1 1 $totExpZ1x)
+);
+
+zoneX1Top
+(
+    (1 1 $totExpZ1xTop)
+);
+
+zoneX3Bottom
+(
+    (1 1 $totExpZ3x)
+);
+
+zoneX3Top
+(
+    (1 1 $totExpZ3xTop)
+);
+
+zoneY
+(
+    ( $LyBL                                              $NyZ1 $totExpZ1y )
+    ( $LyFocus                                           $NyZ2 1          )
+    ( $LyMid                                             $NyZ3 $totExpZ3y )
+    ( #eval{ $yMax - $yMin - $LyMid - $LyFocus - $LyBL } $NyZ4 $totExpZ4y )
+);
+
+blocks
+(
+    hex ( 1  5  7  3  0  4  6  2  ) ($NxZ1 $Ny $Nz) edgeGrading
+    (
+        $zoneX1Bottom
+        $zoneX1Top
+        $zoneX1Top
+        $zoneX1Bottom
+        $zoneY
+        $zoneY
+        $zoneY
+        $zoneY
+        1
+        1
+        1
+        1
+    )
+
+    hex ( 5  9  11 7  4  8  10 6  ) ($NxFocus $Ny $Nz) simpleGrading
+    (
+        (
+            (1 1 1)
+        )
+        $zoneY
+        (
+            (1 1 1)
+        )
+    )
+
+    hex ( 9  13 15 11 8  12 14 10 ) ($NxZ3 $Ny $Nz) edgeGrading
+    (
+        $zoneX3Bottom
+        $zoneX3Top
+        $zoneX3Top
+        $zoneX3Bottom
+        $zoneY
+        $zoneY
+        $zoneY
+        $zoneY
+        1
+        1
+        1
+        1
+    )
+);
+
+edges
+(
+    // definition of poly lines for hump contour
+    polyLine 4 8
+    (
+        #include "geometry/polyLine_4to8"
+    )
+    polyLine 5 9
+    (
+        #include "geometry/polyLine_5to9"
+    )
+
+    // definition of poly lines for contour of top wall
+    polyLine 6 10
+    (
+        #include "geometry/polyLine_6to10"
+    )
+    polyLine 7 11
+    (
+        #include "geometry/polyLine_7to11"
+    )
+);
+
+boundary
+(
+    inlet
+    {
+        type            patch;
+        faces
+        (
+            (0 2 3 1)
+        );
+    }
+
+    outlet
+    {
+        type            patch;
+        faces
+        (
+            (12 13 15 14)
+        );
+    }
+
+    topWall
+    {
+        type            wall;
+        faces
+        (
+            ( 2  6  7  3  )
+            ( 6  10 11 7  )
+            ( 10 14 15 11 )
+        );
+    }
+
+    bottomWall
+    {
+        type            wall;
+        faces
+        (
+            ( 0  1  5  4  )
+            ( 4  5  9  8  )
+            ( 8  9  13 12 )
+        );
+    }
+
+    zPeriodic_half0
+    {
+        type            cyclic;
+        neighbourPatch  zPeriodic_half1;
+        faces
+        (
+            ( 1  3  7  5  )
+            ( 5  7  11 9  )
+            ( 9  11 15 13 )
+        );
+    }
+
+    zPeriodic_half1
+    {
+        type            cyclic;
+        neighbourPatch  zPeriodic_half0;
+        faces
+        (
+            ( 0  4  6  2  )
+            ( 4  8  10 6  )
+            ( 8  12 14 10 )
+        );
+    }
+);
+
+mergePatchPairs
+(
+);
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/system/columnAverage

@@ -0,0 +1,33 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2206                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+
+columnAverage
+{
+    // Mandatory entries
+    type            columnAverage;
+    libs            (fieldFunctionObjects);
+
+    // Note: include processorCyclics!
+    patches         ( zPeriodic_half0 "proc.*throughzPeriodic_half0" );
+    fields
+    (
+        UMean
+        UPrime2Mean
+    );
+
+    // Inherited entries
+    region          region0;
+    enabled         true;
+    log             true;
+    timeStart       $tStartAvg;
+    executeControl  writeTime;
+    writeControl    none;
+}
+
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/system/controlDict

@@ -0,0 +1,59 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2206                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    object      controlDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+application     pimpleFoam;
+
+startFrom       latestTime;
+
+startTime       0;
+
+stopAt          endTime;
+
+endTime         0.1; // 30.0;
+
+deltaT          0.001;
+
+writeControl    timeStep;
+
+writeInterval   50; // 500;
+
+purgeWrite      3;
+
+writeFormat     binary;
+
+writePrecision  6;
+
+writeCompression off;
+
+timeFormat      general;
+
+timePrecision   6;
+
+runTimeModifiable true;
+
+// user-defined variables
+tStartAvg       0.05; // 10;
+
+functions
+{
+    #include "fieldAverage"
+    #include "volFields"
+    #include "wallFields"
+    #include "columnAverage"
+    #include "sampleDict"
+}
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/system/decomposeParDict

@@ -0,0 +1,26 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2206                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    object      decomposeParDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+numberOfSubdomains 16;
+
+method          hierarchical;
+
+coeffs
+{
+    n           (16 1 1);
+}
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/system/fieldAverage

@@ -0,0 +1,67 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2206                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+
+fieldAverage
+{
+    type            fieldAverage;
+    libs            (fieldFunctionObjects);
+
+    enabled         true;
+    writeControl    writeTime;
+
+    timeStart       $tStartAvg;
+
+    fields
+    (
+        U
+        {
+            mean            on;
+            prime2Mean      on;
+            base            time;
+        }
+        p
+        {
+            mean            on;
+            prime2Mean      off;
+            base            time;
+        }
+        nut
+        {
+            mean            on;
+            prime2Mean      off;
+            base            time;
+        }
+        nuTilda
+        {
+            mean            on;
+            prime2Mean      off;
+            base            time;
+        }
+        k
+        {
+            mean            on;
+            prime2Mean      off;
+            base            time;
+        }
+        omega
+        {
+            mean            on;
+            prime2Mean      off;
+            base            time;
+        }
+        wallShearStress
+        {
+            mean            on;
+            prime2Mean      off;
+            base            time;
+        }
+    );
+}
+
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/system/fvSchemes

@@ -0,0 +1,73 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2206                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    object      fvSchemes;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+ddtSchemes
+{
+    default         backward;
+}
+
+gradSchemes
+{
+    default         Gauss linear;
+}
+
+divSchemes
+{
+    default                             Gauss linear;
+
+    div(phi,U)                          Gauss DEShybrid
+        linear                        // scheme 1
+        linearUpwind grad(U)          // scheme 2
+        delta                         // LES delta name, e.g. 'delta', 'hmax'
+        0.65                          // CDES coefficient
+        1.0                           // Reference velocity scale
+        1.0                           // Reference length scale
+        0.0                           // Minimum sigma limit (0-1)
+        1.0                           // Maximum sigma limit (0-1)
+        1.0                           // Limiter of B function
+        10.0;                         // nut limiter (if > 1, GAM extension is active)
+
+    turbulence                          Gauss limitedLinear 1;
+    div(phi,k)                          $turbulence;
+    div(phi,omega)                      $turbulence;
+    div(phi,epsilon)                    $turbulence;
+    div(phi,nuTilda)                    $turbulence;
+
+    div((nuEff*dev2(T(grad(U)))))       Gauss linear;
+}
+
+laplacianSchemes
+{
+    default         Gauss linear corrected;
+}
+
+interpolationSchemes
+{
+    default         linear;
+}
+
+snGradSchemes
+{
+    default         corrected;
+}
+
+wallDist
+{
+    method          exactDistance;
+    nRequired       yes;
+}
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/system/fvSolution

@@ -0,0 +1,73 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2206                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    object      fvSolution;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+solvers
+{
+    p
+    {
+        solver          GAMG;
+        smoother        DICGaussSeidel;
+        tolerance       1e-06;
+        relTol          0.05;
+        minIter         1;
+    }
+
+    pFinal
+    {
+        $p;
+        relTol          0.01;
+    }
+
+    "(U|k|omega|nuTilda)"
+    {
+        solver          PBiCG;
+        preconditioner  DILU;
+        tolerance       1e-05;
+        relTol          0.1;
+        minIter         1;
+    }
+
+    "(U|k|omega|nuTilda)Final"
+    {
+        $U;
+        relTol          0;
+    }
+}
+
+PIMPLE
+{
+    nOuterCorrectors           5;
+    nCorrectors                1;
+    nNonOrthogonalCorrectors   0;
+    finalOnLastPimpleIterOnly  true;
+}
+
+relaxationFactors
+{
+    fields
+    {
+        "(p|pFinal)"               0.4;
+    }
+    equations
+    {
+        "(U|UFinal)"               0.8;
+        "(k|kFinal)"               0.8;
+        "(omega|omegaFinal)"       0.8;
+        "(nuTilda|nuTildaFinal)"   0.8;
+    }
+}
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/system/geometry/polyLine_4to8

@@ -0,0 +1,876 @@
+(0.000000000e+00 0.000000000e+00 $zMax)
+(2.642555636e-04 2.118387155e-05 $zMax)
+(1.196187107e-03 1.013596154e-04 $zMax)
+(2.391164127e-03 2.169787857e-04 $zMax)
+(3.584294872e-03 3.468466981e-04 $zMax)
+(4.776214925e-03 4.909525339e-04 $zMax)
+(5.966346759e-03 6.492854802e-04 $zMax)
+(7.154056604e-03 8.218347242e-04 $zMax)
+(8.339978834e-03 1.008585855e-03 $zMax)
+(9.530686986e-03 1.210739175e-03 $zMax)
+(1.072508708e-02 1.428518166e-03 $zMax)
+(1.192427371e-02 1.662160734e-03 $zMax)
+(1.311982704e-02 1.910459349e-03 $zMax)
+(1.431238147e-02 2.173406815e-03 $zMax)
+(1.550193638e-02 2.450992308e-03 $zMax)
+(1.668780056e-02 2.743194201e-03 $zMax)
+(1.786951258e-02 3.050012494e-03 $zMax)
+(1.905843372e-02 3.374449776e-03 $zMax)
+(2.025398706e-02 3.716834053e-03 $zMax)
+(2.145559567e-02 4.077255437e-03 $zMax)
+(2.265299468e-02 4.452304040e-03 $zMax)
+(2.384612542e-02 4.841594176e-03 $zMax)
+(2.503446964e-02 5.244732940e-03 $zMax)
+(2.621791183e-02 5.661338268e-03 $zMax)
+(2.739720126e-02 6.091013649e-03 $zMax)
+(2.858427673e-02 6.538326034e-03 $zMax)
+(2.977988752e-02 7.003300653e-03 $zMax)
+(3.098270743e-02 7.485969956e-03 $zMax)
+(3.218068275e-02 7.981010033e-03 $zMax)
+(3.337323718e-02 8.488049619e-03 $zMax)
+(3.456158140e-02 9.006706628e-03 $zMax)
+(3.574444666e-02 9.536609797e-03 $zMax)
+(3.692246734e-02 1.007737704e-02 $zMax)
+(3.810838957e-02 1.063481889e-02 $zMax)
+(3.930209724e-02 1.120887045e-02 $zMax)
+(4.050434023e-02 1.179944160e-02 $zMax)
+(4.170173924e-02 1.239987117e-02 $zMax)
+(4.289365929e-02 1.300967974e-02 $zMax)
+(4.408136913e-02 1.362840955e-02 $zMax)
+(4.526486877e-02 1.425559200e-02 $zMax)
+(4.644410015e-02 1.489072966e-02 $zMax)
+(4.763002238e-02 1.553935551e-02 $zMax)
+(4.882257680e-02 1.620121362e-02 $zMax)
+(5.002233974e-02 1.687615980e-02 $zMax)
+(5.121795114e-02 1.755788973e-02 $zMax)
+(5.240987059e-02 1.824609701e-02 $zMax)
+(5.359821480e-02 1.894044282e-02 $zMax)
+(5.478286829e-02 1.964062438e-02 $zMax)
+(5.596457970e-02 2.034632088e-02 $zMax)
+(5.715044388e-02 2.106187580e-02 $zMax)
+(5.834178761e-02 2.178704401e-02 $zMax)
+(5.953734035e-02 2.252149752e-02 $zMax)
+(6.073052915e-02 2.326012148e-02 $zMax)
+(6.192123791e-02 2.400246172e-02 $zMax)
+(6.311015905e-02 2.474807488e-02 $zMax)
+(6.429665760e-02 2.549651399e-02 $zMax)
+(6.548257922e-02 2.624732490e-02 $zMax)
+(6.666965469e-02 2.700199266e-02 $zMax)
+(6.785921021e-02 2.776013519e-02 $zMax)
+(6.905055334e-02 2.852149658e-02 $zMax)
+(7.024189647e-02 2.928394293e-02 $zMax)
+(7.143202830e-02 3.004724716e-02 $zMax)
+(7.262210269e-02 3.081119662e-02 $zMax)
+(7.381165820e-02 3.157558940e-02 $zMax)
+(7.500121372e-02 3.234022734e-02 $zMax)
+(7.619007680e-02 3.310437502e-02 $zMax)
+(7.737847847e-02 3.386785948e-02 $zMax)
+(7.856618832e-02 3.463032023e-02 $zMax)
+(7.975447508e-02 3.539180777e-02 $zMax)
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tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/system/sampleDict

@@ -0,0 +1,113 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2206                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+
+sample.lines
+{
+    type                sets;
+    libs                (sampling);
+    writeControl        writeTime;
+    timeStart           $tStartAvg;
+
+    interpolationScheme cellPoint;
+    setFormat           raw;
+
+    sets
+    (
+        xbyc0.65
+        {
+            type            face;
+            axis            y;
+            start           (0.65 0 0.0001);
+            end             (0.65 1 0.0001);
+        }
+        xbyc0.66
+        {
+            type            face;
+            axis            y;
+            start           (0.66 0 0.0001);
+            end             (0.66 1 0.0001);
+        }
+        xbyc0.80
+        {
+            type            face;
+            axis            y;
+            start           (0.80 0 0.0001);
+            end             (0.80 1 0.0001);
+        }
+        xbyc0.90
+        {
+            type            face;
+            axis            y;
+            start           (0.90 0 0.0001);
+            end             (0.90 1 0.0001);
+        }
+        xbyc1.00
+        {
+            type            face;
+            axis            y;
+            start           (1.00 0 0.0001);
+            end             (1.00 1 0.0001);
+        }
+        xbyc1.10
+        {
+            type            face;
+            axis            y;
+            start           (1.10 0 0.0001);
+            end             (1.10 1 0.0001);
+        }
+        xbyc1.20
+        {
+            type            face;
+            axis            y;
+            start           (1.20 0 0.0001);
+            end             (1.20 1 0.0001);
+        }
+        xbyc1.30
+        {
+            type            face;
+            axis            y;
+            start           (1.30 0 0.0001);
+            end             (1.30 1 0.0001);
+        }
+    );
+
+    fields
+    (
+        columnAverage(UMean)
+        columnAverage(UPrime2Mean)
+    );
+}
+
+sample.bottomWall
+{
+    type                surfaces;
+    libs                (sampling);
+    writeControl        writeTime;
+    timeStart           $tStartAvg;
+
+    interpolationScheme cell;
+    surfaceFormat       raw;
+
+    fields
+    (
+        pMean
+        wallShearStressMean
+    );
+
+    surfaces
+    (
+        bottomWall
+        {
+            type            patch;
+            patches         ( "bottomWall" );
+        }
+    );
+}
+
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/system/volFields

@@ -0,0 +1,51 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2206                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+
+vorticity
+{
+    type            vorticity;
+    libs            (fieldFunctionObjects);
+
+    enabled         true;
+    writeControl    writeTime;
+}
+
+Q
+{
+    type            Q;
+    libs            (fieldFunctionObjects);
+
+    enabled         true;
+    writeControl    writeTime;
+}
+
+DESModelRegions
+{
+    type            DESModelRegions;
+    libs            (fieldFunctionObjects);
+
+    enabled         true;
+    writeControl    writeTime;
+
+    result      DESField;
+}
+
+blendingFactor
+{
+    type            blendingFactor;
+    libs            (fieldFunctionObjects);
+
+    field           U;
+
+    enabled         true;
+    writeControl    writeTime;
+    log             false;
+}
+
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/common/system/wallFields

@@ -0,0 +1,32 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2206                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+
+wallShearStress
+{
+    type            wallShearStress;
+    libs            (fieldFunctionObjects);
+
+    enabled         true;
+    writeControl    writeTime;
+
+    patches         ( bottomWall );
+}
+
+yPlus
+{
+    type            yPlus;
+    libs            (fieldFunctionObjects);
+
+    enabled         true;
+    writeControl    writeTime;
+
+    patches         ( bottomWall );
+}
+
+
+// ************************************************************************* //

tutorials/incompressible/pimpleFoam/LES/wallMountedHump/setups.orig/kOmegaSSTDDES-DeltaOmegaTilde-useSigmaTrue/constant/turbulenceProperties

@@ -0,0 +1,33 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  v2206                                 |
+|   \\  /    A nd           | Website:  www.openfoam.com                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    object      turbulenceProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+simulationType LES;
+
+LES
+{
+    LESModel        kOmegaSSTDDES;
+    kOmegaSSTDDESCoeffs
+    {
+        useSigma        true;
+    }
+
+    delta           DeltaOmegaTilde;
+    DeltaOmegaTildeCoeffs
+    {
+    }
+}
+
+// ************************************************************************* //