Add the OpenFOAM source tree

Allwmake

@@ -0,0 +1,37 @@
+#!/bin/sh
+cd ${0%/*} || exit 1    # run from this directory
+
+wmakeCheckPwd "$WM_PROJECT_DIR" || {
+    echo "Error: Current directory is not \$WM_PROJECT_DIR"
+    echo "    The environment variables are inconsistent with the installation."
+    echo "    Check the OpenFOAM entries in your dot-files and source them."
+    exit 1
+}
+
+[ -n "$FOAM_EXT_LIBBIN" ] || {
+    echo "Error: FOAM_EXT_LIBBIN not set"
+    echo "    Check the OpenFOAM entries in your dot-files and source them."
+    exit 1
+}
+
+# wmake is required for subsequent targets
+( cd wmake/src && make )
+
+# build ThirdParty sources
+if [ -d "$WM_THIRD_PARTY_DIR" ]
+then
+    $WM_THIRD_PARTY_DIR/Allwmake
+else
+    echo "no ThirdParty sources found - skipping"
+fi
+
+# build OpenFOAM libraries and applications
+src/Allwmake $*
+applications/Allwmake $*
+
+if [ "$1" = doc ]
+then
+    doc/Allwmake $*
+fi
+
+# ----------------------------------------------------------------- end-of-file

applications/Allwmake

@@ -0,0 +1,22 @@
+#!/bin/sh
+cd ${0%/*} || exit 1    # run from this directory
+
+wmakeCheckPwd "$WM_PROJECT_DIR/applications" || {
+    echo "Error: Current directory is not \$WM_PROJECT_DIR/applications"
+    echo "    The environment variables are inconsistent with the installation."
+    echo "    Check the OpenFOAM entries in your dot-files and source them."
+    exit 1
+}
+
+[ -n "$FOAM_EXT_LIBBIN" ] || {
+    echo "Error: FOAM_EXT_LIBBIN not set"
+    echo "    Check the OpenFOAM entries in your dot-files and source them."
+    exit 1
+}
+
+set -x
+
+wmake all utilities $*
+wmake all solvers $*
+
+# ----------------------------------------------------------------- end-of-file

applications/solvers/DNS/dnsFoam/Make/files

@@ -0,0 +1,3 @@
+dnsFoam.C
+
+EXE = $(FOAM_APPBIN)/dnsFoam

applications/solvers/DNS/dnsFoam/Make/options

@@ -0,0 +1,7 @@
+EXE_INC = \
+    -I$(LIB_SRC)/finiteVolume/lnInclude \
+    -I$(LIB_SRC)/randomProcesses/lnInclude
+
+EXE_LIBS = \
+    -lfiniteVolume \
+    -lrandomProcesses

applications/solvers/DNS/dnsFoam/createFields.H

@@ -0,0 +1,29 @@
+    Info<< "Reading field p\n" << endl;
+    volScalarField p
+    (
+        IOobject
+        (
+            "p",
+            runTime.timeName(),
+            mesh,
+            IOobject::MUST_READ,
+            IOobject::AUTO_WRITE
+        ),
+        mesh
+    );
+
+    Info<< "Reading field U\n" << endl;
+    volVectorField U
+    (
+        IOobject
+        (
+            "U",
+            runTime.timeName(),
+            mesh,
+            IOobject::MUST_READ,
+            IOobject::AUTO_WRITE
+        ),
+        mesh
+    );
+
+    #include "createPhi.H"

applications/solvers/DNS/dnsFoam/dnsFoam.C

@@ -0,0 +1,138 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2013 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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/>.
+
+Application
+    dnsFoam
+
+Description
+    Direct numerical simulation solver for boxes of isotropic turbulence
+
+\*---------------------------------------------------------------------------*/
+
+#include "fvCFD.H"
+#include "Kmesh.H"
+#include "UOprocess.H"
+#include "fft.H"
+#include "calcEk.H"
+#include "graph.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+int main(int argc, char *argv[])
+{
+    #include "setRootCase.H"
+
+    #include "createTime.H"
+    #include "createMeshNoClear.H"
+    #include "readTransportProperties.H"
+    #include "createFields.H"
+    #include "readTurbulenceProperties.H"
+    #include "initContinuityErrs.H"
+
+    // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+    Info<< nl << "Starting time loop" << endl;
+
+    while (runTime.loop())
+    {
+        Info<< "Time = " << runTime.timeName() << nl << endl;
+
+        #include "readPISOControls.H"
+
+        force.internalField() = ReImSum
+        (
+            fft::reverseTransform
+            (
+                K/(mag(K) + 1.0e-6) ^ forceGen.newField(), K.nn()
+            )
+        );
+
+        #include "globalProperties.H"
+
+        fvVectorMatrix UEqn
+        (
+            fvm::ddt(U)
+          + fvm::div(phi, U)
+          - fvm::laplacian(nu, U)
+         ==
+            force
+        );
+
+        solve(UEqn == -fvc::grad(p));
+
+
+        // --- PISO loop
+
+        for (int corr=1; corr<=1; corr++)
+        {
+            volScalarField rAU(1.0/UEqn.A());
+            surfaceScalarField rAUf("rAUf", fvc::interpolate(rAU));
+            volVectorField HbyA("HbyA", U);
+            HbyA = rAU*UEqn.H();
+
+            surfaceScalarField phiHbyA
+            (
+                "phiHbyA",
+                (fvc::interpolate(HbyA) & mesh.Sf())
+              + rAUf*fvc::ddtCorr(U, phi)
+            );
+
+            fvScalarMatrix pEqn
+            (
+                fvm::laplacian(rAUf, p) == fvc::div(phiHbyA)
+            );
+
+            pEqn.solve();
+
+            phi = phiHbyA - pEqn.flux();
+
+            #include "continuityErrs.H"
+
+            U = HbyA - rAU*fvc::grad(p);
+            U.correctBoundaryConditions();
+        }
+
+        runTime.write();
+
+        if (runTime.outputTime())
+        {
+            calcEk(U, K).write
+            (
+                runTime.path()/"graphs"/runTime.timeName(),
+                "Ek",
+                runTime.graphFormat()
+            );
+        }
+
+        Info<< "ExecutionTime = " << runTime.elapsedCpuTime() << " s"
+            << "  ClockTime = " << runTime.elapsedClockTime() << " s"
+            << nl << endl;
+    }
+
+    Info<< "End\n" << endl;
+
+    return 0;
+}
+
+
+// ************************************************************************* //

applications/solvers/DNS/dnsFoam/globalProperties.H

@@ -0,0 +1,20 @@
+        Info<< "k("
+             << runTime.timeName()
+             << ") = "
+             << 3.0/2.0*average(magSqr(U)).value() << endl;
+
+        Info<< "epsilon("
+             << runTime.timeName()
+             << ") = "
+             << (
+                     0.5*nu*average
+                     (
+                         magSqr(fvc::grad(U) + fvc::grad(U)().T())
+                     )
+                ).value() << endl;
+
+        Info<< "U.f("
+             << runTime.timeName()
+             << ") = "
+             << 181.0*average(U & force).value() << endl;
+

applications/solvers/DNS/dnsFoam/readTransportProperties.H

@@ -0,0 +1,18 @@
+    Info<< "Reading transportProperties\n" << endl;
+
+    IOdictionary transportProperties
+    (
+        IOobject
+        (
+            "transportProperties",
+            runTime.constant(),
+            mesh,
+            IOobject::MUST_READ_IF_MODIFIED,
+            IOobject::NO_WRITE
+        )
+    );
+
+    dimensionedScalar nu
+    (
+        transportProperties.lookup("nu")
+    );

applications/solvers/DNS/dnsFoam/readTurbulenceProperties.H

@@ -0,0 +1,21 @@
+    Info<< "Reading turbulenceProperties\n" << endl;
+
+    IOdictionary turbulenceProperties
+    (
+        IOobject
+        (
+            "turbulenceProperties",
+            runTime.constant(),
+            mesh,
+            IOobject::MUST_READ_IF_MODIFIED,
+            IOobject::NO_WRITE
+        )
+    );
+
+    volVectorField force
+    (
+        U/dimensionedScalar("dt", dimTime, runTime.deltaTValue())
+    );
+
+    Kmesh K(mesh);
+    UOprocess forceGen(K, runTime.deltaTValue(), turbulenceProperties);

applications/solvers/basic/laplacianFoam/Make/files

@@ -0,0 +1,3 @@
+laplacianFoam.C
+
+EXE = $(FOAM_APPBIN)/laplacianFoam

applications/solvers/basic/laplacianFoam/Make/options

@@ -0,0 +1,3 @@
+EXE_INC = -I$(LIB_SRC)/finiteVolume/lnInclude
+
+EXE_LIBS = -lfiniteVolume

applications/solvers/basic/laplacianFoam/createFields.H

@@ -0,0 +1,37 @@
+    Info<< "Reading field T\n" << endl;
+
+    volScalarField T
+    (
+        IOobject
+        (
+            "T",
+            runTime.timeName(),
+            mesh,
+            IOobject::MUST_READ,
+            IOobject::AUTO_WRITE
+        ),
+        mesh
+    );
+
+
+    Info<< "Reading transportProperties\n" << endl;
+
+    IOdictionary transportProperties
+    (
+        IOobject
+        (
+            "transportProperties",
+            runTime.constant(),
+            mesh,
+            IOobject::MUST_READ_IF_MODIFIED,
+            IOobject::NO_WRITE
+        )
+    );
+
+
+    Info<< "Reading diffusivity DT\n" << endl;
+
+    dimensionedScalar DT
+    (
+        transportProperties.lookup("DT")
+    );

applications/solvers/basic/laplacianFoam/laplacianFoam.C

@@ -0,0 +1,76 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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/>.
+
+Application
+    laplacianFoam
+
+Description
+    Solves a simple Laplace equation, e.g. for thermal diffusion in a solid.
+
+\*---------------------------------------------------------------------------*/
+
+#include "fvCFD.H"
+#include "simpleControl.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+int main(int argc, char *argv[])
+{
+    #include "setRootCase.H"
+
+    #include "createTime.H"
+    #include "createMesh.H"
+    #include "createFields.H"
+
+    simpleControl simple(mesh);
+
+    // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+    Info<< "\nCalculating temperature distribution\n" << endl;
+
+    while (simple.loop())
+    {
+        Info<< "Time = " << runTime.timeName() << nl << endl;
+
+        while (simple.correctNonOrthogonal())
+        {
+            solve
+            (
+                fvm::ddt(T) - fvm::laplacian(DT, T)
+            );
+        }
+
+        #include "write.H"
+
+        Info<< "ExecutionTime = " << runTime.elapsedCpuTime() << " s"
+            << "  ClockTime = " << runTime.elapsedClockTime() << " s"
+            << nl << endl;
+    }
+
+    Info<< "End\n" << endl;
+
+    return 0;
+}
+
+
+// ************************************************************************* //

applications/solvers/basic/laplacianFoam/write.H

@@ -0,0 +1,46 @@
+    if (runTime.outputTime())
+    {
+        volVectorField gradT(fvc::grad(T));
+
+        volScalarField gradTx
+        (
+            IOobject
+            (
+                "gradTx",
+                runTime.timeName(),
+                mesh,
+                IOobject::NO_READ,
+                IOobject::AUTO_WRITE
+            ),
+            gradT.component(vector::X)
+        );
+
+        volScalarField gradTy
+        (
+            IOobject
+            (
+                "gradTy",
+                runTime.timeName(),
+                mesh,
+                IOobject::NO_READ,
+                IOobject::AUTO_WRITE
+            ),
+            gradT.component(vector::Y)
+        );
+
+        volScalarField gradTz
+        (
+            IOobject
+            (
+                "gradTz",
+                runTime.timeName(),
+                mesh,
+                IOobject::NO_READ,
+                IOobject::AUTO_WRITE
+            ),
+            gradT.component(vector::Z)
+        );
+
+
+        runTime.write();
+    }

applications/solvers/basic/potentialFoam/Make/files

@@ -0,0 +1,3 @@
+potentialFoam.C
+
+EXE = $(FOAM_APPBIN)/potentialFoam

applications/solvers/basic/potentialFoam/Make/options

@@ -0,0 +1,11 @@
+EXE_INC = \
+    -I$(LIB_SRC)/finiteVolume/lnInclude \
+    -I$(LIB_SRC)/meshTools/lnInclude \
+    -I$(LIB_SRC)/fvOptions/lnInclude \
+    -I$(LIB_SRC)/sampling/lnInclude
+
+EXE_LIBS = \
+    -lfiniteVolume \
+    -lmeshTools \
+    -lfvOptions \
+    -lsampling

applications/solvers/basic/potentialFoam/createFields.H

@@ -0,0 +1,62 @@
+    Info<< "Reading field p\n" << endl;
+    volScalarField p
+    (
+        IOobject
+        (
+            "p",
+            runTime.timeName(),
+            mesh,
+            IOobject::MUST_READ,
+            IOobject::NO_WRITE
+        ),
+        mesh
+    );
+
+    p = dimensionedScalar("zero", p.dimensions(), 0.0);
+
+
+    Info<< "Reading field U\n" << endl;
+    volVectorField U
+    (
+        IOobject
+        (
+            "U",
+            runTime.timeName(),
+            mesh,
+            IOobject::MUST_READ,
+            IOobject::AUTO_WRITE
+        ),
+        mesh
+    );
+
+    U = dimensionedVector("0", U.dimensions(), vector::zero);
+
+    surfaceScalarField phi
+    (
+        IOobject
+        (
+            "phi",
+            runTime.timeName(),
+            mesh,
+            IOobject::NO_READ,
+            IOobject::AUTO_WRITE
+        ),
+        fvc::interpolate(U) & mesh.Sf()
+    );
+
+    if (args.optionFound("initialiseUBCs"))
+    {
+        U.correctBoundaryConditions();
+        phi = fvc::interpolate(U) & mesh.Sf();
+    }
+
+
+    label pRefCell = 0;
+    scalar pRefValue = 0.0;
+    setRefCell
+    (
+        p,
+        potentialFlow,
+        pRefCell,
+        pRefValue
+    );

applications/solvers/basic/potentialFoam/potentialFoam.C

@@ -0,0 +1,129 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2013 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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/>.
+
+Application
+    potentialFoam
+
+Description
+    Simple potential flow solver which can be used to generate starting fields
+    for full Navier-Stokes codes.
+
+\*---------------------------------------------------------------------------*/
+
+#include "fvCFD.H"
+#include "fvIOoptionList.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+int main(int argc, char *argv[])
+{
+    argList::addBoolOption("writep", "write the final pressure field");
+    argList::addBoolOption
+    (
+        "initialiseUBCs",
+        "initialise U boundary conditions"
+    );
+
+    #include "setRootCase.H"
+    #include "createTime.H"
+    #include "createMesh.H"
+    #include "readControls.H"
+    #include "createFields.H"
+    #include "createFvOptions.H"
+
+    // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+    Info<< nl << "Calculating potential flow" << endl;
+
+    // Since solver contains no time loop it would never execute
+    // function objects so do it ourselves
+    runTime.functionObjects().start();
+
+    fvOptions.makeRelative(phi);
+
+    adjustPhi(phi, U, p);
+
+
+    for (int nonOrth=0; nonOrth<=nNonOrthCorr; nonOrth++)
+    {
+        fvScalarMatrix pEqn
+        (
+            fvm::laplacian
+            (
+                dimensionedScalar
+                (
+                    "1",
+                    dimTime/p.dimensions()*dimensionSet(0, 2, -2, 0, 0),
+                    1
+                ),
+                p
+            )
+         ==
+            fvc::div(phi)
+        );
+
+        pEqn.setReference(pRefCell, pRefValue);
+        pEqn.solve();
+
+        if (nonOrth == nNonOrthCorr)
+        {
+            phi -= pEqn.flux();
+        }
+    }
+
+    fvOptions.makeAbsolute(phi);
+
+    Info<< "continuity error = "
+        << mag(fvc::div(phi))().weightedAverage(mesh.V()).value()
+        << endl;
+
+    U = fvc::reconstruct(phi);
+    U.correctBoundaryConditions();
+
+    Info<< "Interpolated U error = "
+        << (sqrt(sum(sqr((fvc::interpolate(U) & mesh.Sf()) - phi)))
+          /sum(mesh.magSf())).value()
+        << endl;
+
+    // Force the write
+    U.write();
+    phi.write();
+
+    if (args.optionFound("writep"))
+    {
+        p.write();
+    }
+
+    runTime.functionObjects().end();
+
+    Info<< "ExecutionTime = " << runTime.elapsedCpuTime() << " s"
+        << "  ClockTime = " << runTime.elapsedClockTime() << " s"
+        << nl << endl;
+
+    Info<< "End\n" << endl;
+
+    return 0;
+}
+
+
+// ************************************************************************* //

applications/solvers/basic/potentialFoam/readControls.H

@@ -0,0 +1,5 @@
+    const dictionary& potentialFlow =
+        mesh.solutionDict().subDict("potentialFlow");
+
+    const int nNonOrthCorr =
+        potentialFlow.lookupOrDefault<int>("nNonOrthogonalCorrectors", 0);

applications/solvers/basic/scalarTransportFoam/Make/files

@@ -0,0 +1,3 @@
+scalarTransportFoam.C
+
+EXE = $(FOAM_APPBIN)/scalarTransportFoam

applications/solvers/basic/scalarTransportFoam/Make/options

@@ -0,0 +1,11 @@
+EXE_INC = \
+    -I$(LIB_SRC)/finiteVolume/lnInclude \
+    -I$(LIB_SRC)/fvOptions/lnInclude \
+    -I$(LIB_SRC)/meshTools/lnInclude \
+    -I$(LIB_SRC)/sampling/lnInclude
+
+EXE_LIBS = \
+    -lfiniteVolume \
+    -lfvOptions \
+    -lmeshTools \
+    -lsampling

applications/solvers/basic/scalarTransportFoam/createFields.H

@@ -0,0 +1,55 @@
+    Info<< "Reading field T\n" << endl;
+
+    volScalarField T
+    (
+        IOobject
+        (
+            "T",
+            runTime.timeName(),
+            mesh,
+            IOobject::MUST_READ,
+            IOobject::AUTO_WRITE
+        ),
+        mesh
+    );
+
+
+    Info<< "Reading field U\n" << endl;
+
+    volVectorField U
+    (
+        IOobject
+        (
+            "U",
+            runTime.timeName(),
+            mesh,
+            IOobject::MUST_READ,
+            IOobject::AUTO_WRITE
+        ),
+        mesh
+    );
+
+
+    Info<< "Reading transportProperties\n" << endl;
+
+    IOdictionary transportProperties
+    (
+        IOobject
+        (
+            "transportProperties",
+            runTime.constant(),
+            mesh,
+            IOobject::MUST_READ_IF_MODIFIED,
+            IOobject::NO_WRITE
+        )
+    );
+
+
+    Info<< "Reading diffusivity DT\n" << endl;
+
+    dimensionedScalar DT
+    (
+        transportProperties.lookup("DT")
+    );
+
+#   include "createPhi.H"

applications/solvers/basic/scalarTransportFoam/scalarTransportFoam.C

@@ -0,0 +1,79 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2013 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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/>.
+
+Application
+    scalarTransportFoam
+
+Description
+    Solves a transport equation for a passive scalar
+
+\*---------------------------------------------------------------------------*/
+
+#include "fvCFD.H"
+#include "fvIOoptionList.H"
+#include "simpleControl.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+int main(int argc, char *argv[])
+{
+    #include "setRootCase.H"
+    #include "createTime.H"
+    #include "createMesh.H"
+    #include "createFields.H"
+    #include "createFvOptions.H"
+
+    simpleControl simple(mesh);
+
+    // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+    Info<< "\nCalculating scalar transport\n" << endl;
+
+    #include "CourantNo.H"
+
+    while (simple.loop())
+    {
+        Info<< "Time = " << runTime.timeName() << nl << endl;
+
+        while (simple.correctNonOrthogonal())
+        {
+            solve
+            (
+                fvm::ddt(T)
+              + fvm::div(phi, T)
+              - fvm::laplacian(DT, T)
+             ==
+                fvOptions(T)
+            );
+        }
+
+        runTime.write();
+    }
+
+    Info<< "End\n" << endl;
+
+    return 0;
+}
+
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/EaEqn.H

@@ -0,0 +1,22 @@
+{
+    volScalarField& hea = thermo.he();
+
+    solve
+    (
+        betav*fvm::ddt(rho, hea) + mvConvection->fvmDiv(phi, hea)
+      + betav*fvc::ddt(rho, K) + fvc::div(phi, K)
+      + (
+            hea.name() == "ea"
+          ? fvc::div
+            (
+                phi/fvc::interpolate(rho),
+                p,
+                "div(phiv,p)"
+            )
+          : -betav*dpdt
+        )
+      - fvm::laplacian(Db, hea)
+    );
+
+    thermo.correct();
+}

applications/solvers/combustion/PDRFoam/EauEqn.H

@@ -0,0 +1,27 @@
+if (ign.ignited())
+{
+    volScalarField& heau = thermo.heu();
+
+    solve
+    (
+        betav*fvm::ddt(rho, heau) + mvConvection->fvmDiv(phi, heau)
+      + (betav*fvc::ddt(rho, K) + fvc::div(phi, K))*rho/thermo.rhou()
+      + (
+            heau.name() == "eau"
+          ? fvc::div
+            (
+                phi/fvc::interpolate(rho),
+                p,
+                "div(phiv,p)"
+            )*rho/thermo.rhou()
+          : -betav*dpdt*rho/thermo.rhou()
+        )
+      - fvm::laplacian(Db, heau)
+
+        // These terms cannot be used in partially-premixed combustion due to
+        // the resultant inconsistency between ft and heau transport.
+        // A possible solution would be to solve for ftu as well as ft.
+        //- fvm::div(muEff*fvc::grad(b)/(b + 0.001), heau)
+        //+ fvm::Sp(fvc::div(muEff*fvc::grad(b)/(b + 0.001)), heau)
+    );
+}

applications/solvers/combustion/PDRFoam/Make/files

@@ -0,0 +1,33 @@
+XiModels/XiModel/XiModel.C
+XiModels/XiModel/XiModelNew.C
+XiModels/fixed/fixed.C
+XiModels/algebraic/algebraic.C
+XiModels/transport/transport.C
+
+XiModels/XiEqModels/XiEqModel/XiEqModel.C
+XiModels/XiEqModels/XiEqModel/XiEqModelNew.C
+XiModels/XiEqModels/Gulder/Gulder.C
+XiModels/XiEqModels/instabilityXiEq/instabilityXiEq.C
+XiModels/XiEqModels/SCOPEBlendXiEq/SCOPEBlendXiEq.C
+XiModels/XiEqModels/SCOPEXiEq/SCOPEXiEq.C
+
+XiModels/XiGModels/XiGModel/XiGModel.C
+XiModels/XiGModels/XiGModel/XiGModelNew.C
+XiModels/XiGModels/KTS/KTS.C
+XiModels/XiGModels/instabilityG/instabilityG.C
+
+PDRModels/turbulence/PDRkEpsilon/PDRkEpsilon.C
+
+PDRModels/dragModels/PDRDragModel/PDRDragModel.C
+PDRModels/dragModels/PDRDragModel/PDRDragModelNew.C
+PDRModels/dragModels/basic/basic.C
+
+PDRModels/XiEqModels/basicXiSubXiEq/basicXiSubXiEq.C
+PDRModels/XiGModels/basicXiSubG/basicXiSubG.C
+
+laminarFlameSpeed/SCOPE/SCOPELaminarFlameSpeed.C
+
+/*PDRFoamAutoRefine.C*/
+PDRFoam.C
+
+EXE = $(FOAM_APPBIN)/PDRFoam

applications/solvers/combustion/PDRFoam/Make/options

@@ -0,0 +1,30 @@
+EXE_INC = \
+    -IXiModels/XiModel \
+    -IXiModels/XiEqModels/XiEqModel \
+    -IXiModels/XiGModels/XiGModel \
+    -IPDRModels/dragModels/PDRDragModel \
+    -IlaminarFlameSpeed/SCOPE \
+    -I$(LIB_SRC)/engine/lnInclude \
+    -I$(LIB_SRC)/thermophysicalModels/specie/lnInclude \
+    -I$(LIB_SRC)/thermophysicalModels/basic/lnInclude \
+    -I$(LIB_SRC)/thermophysicalModels/reactionThermo/lnInclude \
+    -I$(LIB_SRC)/turbulenceModels/compressible/RAS/lnInclude \
+    -I$(LIB_SRC)/turbulenceModels \
+    -I$(LIB_SRC)/thermophysicalModels/laminarFlameSpeed/lnInclude \
+    -I$(LIB_SRC)/finiteVolume/lnInclude \
+    -I$(LIB_SRC)/dynamicFvMesh/lnInclude \
+    -I$(LIB_SRC)/dynamicMesh/lnInclude \
+    -I$(LIB_SRC)/meshTools/lnInclude \
+    -I$(LIB_SRC)/triSurface/lnInclude
+
+EXE_LIBS = \
+    -lengine \
+    -lmeshTools \
+    -lcompressibleTurbulenceModel \
+    -lcompressibleRASModels \
+    -lfluidThermophysicalModels \
+    -lreactionThermophysicalModels \
+    -lspecie \
+    -llaminarFlameSpeedModels \
+    -lfiniteVolume \
+    -ldynamicFvMesh

applications/solvers/combustion/PDRFoam/PDRFoam.C

@@ -0,0 +1,156 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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/>.
+
+Application
+    PDRFoam
+
+Description
+    Solver for compressible premixed/partially-premixed combustion with
+    turbulence modelling.
+
+    Combusting RANS code using the b-Xi two-equation model.
+    Xi may be obtained by either the solution of the Xi transport
+    equation or from an algebraic exression.  Both approaches are
+    based on Gulder's flame speed correlation which has been shown
+    to be appropriate by comparison with the results from the
+    spectral model.
+
+    Strain effects are incorporated directly into the Xi equation
+    but not in the algebraic approximation.  Further work need to be
+    done on this issue, particularly regarding the enhanced removal rate
+    caused by flame compression.  Analysis using results of the spectral
+    model will be required.
+
+    For cases involving very lean Propane flames or other flames which are
+    very strain-sensitive, a transport equation for the laminar flame
+    speed is present.  This equation is derived using heuristic arguments
+    involving the strain time scale and the strain-rate at extinction.
+    the transport velocity is the same as that for the Xi equation.
+
+    For large flames e.g. explosions additional modelling for the flame
+    wrinkling due to surface instabilities may be applied.
+
+    PDR (porosity/distributed resistance) modelling is included to handle
+    regions containing blockages which cannot be resolved by the mesh.
+
+    The fields used by this solver are:
+
+    betav:  Volume porosity
+    Lobs:   Average diameter of obstacle in cell (m)
+    Aw:     Obstacle surface area per unit volume (1/m)
+    CR:     Drag tensor (1/m)
+    CT:     Turbulence generation parameter (1/m)
+    Nv:     Number of obstacles in cell per unit volume (m^-2)
+    nsv:    Tensor whose diagonal indicates the number to substract from
+            Nv to get the number of obstacles crossing the flow in each
+            direction.
+
+\*---------------------------------------------------------------------------*/
+
+#include "fvCFD.H"
+#include "psiuReactionThermo.H"
+#include "RASModel.H"
+#include "laminarFlameSpeed.H"
+#include "XiModel.H"
+#include "PDRDragModel.H"
+#include "ignition.H"
+#include "Switch.H"
+#include "bound.H"
+#include "pimpleControl.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+int main(int argc, char *argv[])
+{
+    #include "setRootCase.H"
+
+    #include "createTime.H"
+    #include "createMesh.H"
+    #include "readCombustionProperties.H"
+    #include "readGravitationalAcceleration.H"
+    #include "createFields.H"
+    #include "initContinuityErrs.H"
+    #include "readTimeControls.H"
+    #include "compressibleCourantNo.H"
+    #include "setInitialDeltaT.H"
+
+    pimpleControl pimple(mesh);
+
+    scalar StCoNum = 0.0;
+
+    // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+    Info<< "\nStarting time loop\n" << endl;
+
+    while (runTime.run())
+    {
+        #include "readTimeControls.H"
+        #include "compressibleCourantNo.H"
+        #include "setDeltaT.H"
+
+        runTime++;
+        Info<< "\n\nTime = " << runTime.timeName() << endl;
+
+        #include "rhoEqn.H"
+
+        // --- Pressure-velocity PIMPLE corrector loop
+        while (pimple.loop())
+        {
+            #include "UEqn.H"
+
+            // --- Pressure corrector loop
+            while (pimple.correct())
+            {
+                #include "bEqn.H"
+                #include "ftEqn.H"
+                #include "EauEqn.H"
+                #include "EaEqn.H"
+
+                if (!ign.ignited())
+                {
+                    thermo.heu() == thermo.he();
+                }
+
+                #include "pEqn.H"
+            }
+
+            if (pimple.turbCorr())
+            {
+                turbulence->correct();
+            }
+        }
+
+        runTime.write();
+
+        Info<< "\nExecutionTime = "
+             << runTime.elapsedCpuTime()
+             << " s\n" << endl;
+    }
+
+    Info<< "\n end\n";
+
+    return 0;
+}
+
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/PDRFoamAutoRefine.C

@@ -0,0 +1,210 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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/>.
+
+Application
+    PDRFoam
+
+Description
+    Solver for compressible premixed/partially-premixed combustion with
+    turbulence modelling.
+
+    Combusting RANS code using the b-Xi two-equation model.
+    Xi may be obtained by either the solution of the Xi transport
+    equation or from an algebraic exression.  Both approaches are
+    based on Gulder's flame speed correlation which has been shown
+    to be appropriate by comparison with the results from the
+    spectral model.
+
+    Strain effects are incorporated directly into the Xi equation
+    but not in the algebraic approximation.  Further work need to be
+    done on this issue, particularly regarding the enhanced removal rate
+    caused by flame compression.  Analysis using results of the spectral
+    model will be required.
+
+    For cases involving very lean Propane flames or other flames which are
+    very strain-sensitive, a transport equation for the laminar flame
+    speed is present.  This equation is derived using heuristic arguments
+    involving the strain time scale and the strain-rate at extinction.
+    the transport velocity is the same as that for the Xi equation.
+
+    For large flames e.g. explosions additional modelling for the flame
+    wrinkling due to surface instabilities may be applied.
+
+    PDR (porosity/distributed resistance) modelling is included to handle
+    regions containing blockages which cannot be resolved by the mesh.
+
+\*---------------------------------------------------------------------------*/
+
+#include "fvCFD.H"
+#include "dynamicFvMesh.H"
+#include "psiuReactionThermo.H"
+#include "RASModel.H"
+#include "laminarFlameSpeed.H"
+#include "XiModel.H"
+#include "PDRDragModel.H"
+#include "ignition.H"
+#include "Switch.H"
+#include "bound.H"
+#include "dynamicRefineFvMesh.H"
+#include "pimpleControl.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+int main(int argc, char *argv[])
+{
+    #include "setRootCase.H"
+
+    #include "createTime.H"
+    #include "createDynamicFvMesh.H"
+    #include "readCombustionProperties.H"
+    #include "readGravitationalAcceleration.H"
+    #include "createFields.H"
+    #include "initContinuityErrs.H"
+    #include "readTimeControls.H"
+    #include "compressibleCourantNo.H"
+    #include "setInitialDeltaT.H"
+
+    pimpleControl pimple(mesh);
+
+    scalar StCoNum = 0.0;
+
+    // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+    Info<< "\nStarting time loop\n" << endl;
+
+    bool hasChanged = false;
+
+    while (runTime.run())
+    {
+        #include "readTimeControls.H"
+        #include "compressibleCourantNo.H"
+        #include "setDeltaT.H"
+
+        // Indicators for refinement. Note: before runTime++
+        // only for postprocessing reasons.
+        tmp<volScalarField> tmagGradP = mag(fvc::grad(p));
+        volScalarField normalisedGradP
+        (
+            "normalisedGradP",
+            tmagGradP()/max(tmagGradP())
+        );
+        normalisedGradP.writeOpt() = IOobject::AUTO_WRITE;
+        tmagGradP.clear();
+
+        runTime++;
+
+        Info<< "\n\nTime = " << runTime.timeName() << endl;
+
+        {
+            // Make the fluxes absolute
+            fvc::makeAbsolute(phi, rho, U);
+
+            // Test : disable refinement for some cells
+            PackedBoolList& protectedCell =
+                refCast<dynamicRefineFvMesh>(mesh).protectedCell();
+
+            if (protectedCell.empty())
+            {
+                protectedCell.setSize(mesh.nCells());
+                protectedCell = 0;
+            }
+
+            forAll(betav, cellI)
+            {
+                if (betav[cellI] < 0.99)
+                {
+                    protectedCell[cellI] = 1;
+                }
+            }
+
+            // Flux estimate for introduced faces.
+            volVectorField rhoU("rhoU", rho*U);
+
+            // Do any mesh changes
+            bool meshChanged = mesh.update();
+
+
+            if (meshChanged)
+            {
+                hasChanged = true;
+            }
+
+            if (runTime.write() && hasChanged)
+            {
+                betav.write();
+                Lobs.write();
+                CT.write();
+                drag->writeFields();
+                flameWrinkling->writeFields();
+                hasChanged = false;
+            }
+
+            // Make the fluxes relative to the mesh motion
+            fvc::makeRelative(phi, rho, U);
+        }
+
+
+        #include "rhoEqn.H"
+
+        // --- Pressure-velocity PIMPLE corrector loop
+        while (pimple.loop())
+        {
+            #include "UEqn.H"
+
+
+            // --- Pressure corrector loop
+            while (pimple.correct())
+            {
+                #include "bEqn.H"
+                #include "ftEqn.H"
+                #include "huEqn.H"
+                #include "hEqn.H"
+
+                if (!ign.ignited())
+                {
+                    hu == h;
+                }
+
+                #include "pEqn.H"
+            }
+
+            if (pimple.turbCorr())
+            {
+                turbulence->correct();
+            }
+        }
+
+        runTime.write();
+
+        Info<< "\nExecutionTime = "
+             << runTime.elapsedCpuTime()
+             << " s\n" << endl;
+    }
+
+    Info<< "\n end\n";
+
+    return 0;
+}
+
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/PDRModels/XiEqModels/basicXiSubXiEq/basicXiSubXiEq.C

@@ -0,0 +1,169 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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 "basicXiSubXiEq.H"
+#include "addToRunTimeSelectionTable.H"
+
+// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace XiEqModels
+{
+    defineTypeNameAndDebug(basicSubGrid, 0);
+    addToRunTimeSelectionTable(XiEqModel, basicSubGrid, dictionary);
+}
+}
+
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+Foam::XiEqModels::basicSubGrid::basicSubGrid
+(
+    const dictionary& XiEqProperties,
+    const psiuReactionThermo& thermo,
+    const compressible::RASModel& turbulence,
+    const volScalarField& Su
+)
+:
+    XiEqModel(XiEqProperties, thermo, turbulence, Su),
+
+    B_
+    (
+        IOobject
+        (
+            "B",
+            Su.mesh().facesInstance(),
+            Su.mesh(),
+            IOobject::MUST_READ,
+            IOobject::NO_WRITE
+        ),
+        Su.mesh()
+    ),
+
+    XiEqModel_(XiEqModel::New(XiEqModelCoeffs_, thermo, turbulence, Su))
+{}
+
+
+// * * * * * * * * * * * * * * * * Destructors * * * * * * * * * * * * * * * //
+
+Foam::XiEqModels::basicSubGrid::~basicSubGrid()
+{}
+
+
+// * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * * //
+
+Foam::tmp<Foam::volScalarField> Foam::XiEqModels::basicSubGrid::XiEq() const
+{
+    const fvMesh& mesh = Su_.mesh();
+    const volVectorField& U = mesh.lookupObject<volVectorField>("U");
+
+    const volScalarField& Nv = mesh.lookupObject<volScalarField>("Nv");
+    const volSymmTensorField& nsv =
+        mesh.lookupObject<volSymmTensorField>("nsv");
+
+    volScalarField magU(mag(U));
+    volVectorField Uhat
+    (
+        U/(mag(U) + dimensionedScalar("Usmall", U.dimensions(), 1e-4))
+    );
+
+    const scalarField Cw = pow(mesh.V(), 2.0/3.0);
+
+    tmp<volScalarField> tN
+    (
+        new volScalarField
+        (
+            IOobject
+            (
+                "tN",
+                mesh.time().constant(),
+                mesh,
+                IOobject::NO_READ,
+                IOobject::NO_WRITE
+            ),
+            mesh,
+            dimensionedScalar("zero", Nv.dimensions(), 0.0),
+            zeroGradientFvPatchVectorField::typeName
+        )
+    );
+
+    volScalarField& N = tN();
+
+    N.internalField() = Nv.internalField()*Cw;
+
+    tmp<volSymmTensorField> tns
+    (
+        new volSymmTensorField
+        (
+            IOobject
+            (
+                "tns",
+                U.mesh().time().timeName(),
+                U.mesh(),
+                IOobject::NO_READ,
+                IOobject::NO_WRITE
+            ),
+            U.mesh(),
+            dimensionedSymmTensor
+            (
+                "zero",
+                nsv.dimensions(),
+                pTraits<symmTensor>::zero
+            ),
+             zeroGradientFvPatchSymmTensorField::typeName
+        )
+    );
+
+    volSymmTensorField& ns = tns();
+
+    ns.internalField() = nsv.internalField()*Cw;
+
+    volScalarField n(max(N - (Uhat & ns & Uhat), scalar(1e-4)));
+
+    volScalarField b((Uhat & B_ & Uhat)/sqrt(n));
+
+    volScalarField up(sqrt((2.0/3.0)*turbulence_.k()));
+
+    volScalarField XiSubEq
+    (
+        scalar(1)
+      + max(2.2*sqrt(b), min(0.34*magU/up*sqrt(b), scalar(1.6)))
+      * min(n, scalar(1))
+    );
+
+    return (XiSubEq*XiEqModel_->XiEq());
+}
+
+
+bool Foam::XiEqModels::basicSubGrid::read(const dictionary& XiEqProperties)
+{
+    XiEqModel::read(XiEqProperties);
+
+    return XiEqModel_->read(XiEqModelCoeffs_);
+}
+
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/PDRModels/XiEqModels/basicXiSubXiEq/basicXiSubXiEq.H

@@ -0,0 +1,145 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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::XiEqModels::basicSubGrid
+
+Description
+    Basic sub-grid obstacle flame-wrinking enhancement factor model.
+    Details supplied by J Puttock 2/7/06.
+
+    <b> Sub-grid flame area generation </b>
+
+    \f$ n = N - \hat{\dwea{\vec{U}}}.n_{s}.\hat{\dwea{\vec{U}}} \f$
+    \f$ n_{r} = \sqrt{n} \f$
+
+    where:
+
+        \f$ \hat{\dwea{\vec{U}}} = \dwea{\vec{U}} / \vert \dwea{\vec{U}}
+        \vert \f$
+
+        \f$ b = \hat{\dwea{\vec{U}}}.B.\hat{\dwea{\vec{U}}} / n_{r} \f$
+
+    where:
+
+        \f$ B \f$ is the file "B".
+
+        \f$ N \f$ is the file "N".
+
+        \f$  n_{s} \f$ is the file "ns".
+
+    The flame area enhancement factor \f$ \Xi_{sub} \f$ is expected to
+    approach:
+
+    \f[
+        \Xi_{{sub}_{eq}} =
+            1 + max(2.2 \sqrt{b}, min(0.34 \frac{\vert \dwea{\vec{U}}
+            \vert}{{\vec{U}}^{'}}, 1.6)) \times min(\frac{n}{4}, 1)
+    \f]
+
+
+SourceFiles
+    basicSubGrid.C
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef basicSubGrid_H
+#define basicSubGrid_H
+
+#include "XiEqModel.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace XiEqModels
+{
+
+/*---------------------------------------------------------------------------*\
+                          Class basicSubGrid Declaration
+\*---------------------------------------------------------------------------*/
+
+class basicSubGrid
+:
+    public XiEqModel
+{
+    // Private data
+
+        //- tblock
+        volSymmTensorField B_;
+
+        //- Equilibrium Xi model due to turbulence
+        autoPtr<XiEqModel> XiEqModel_;
+
+
+    // Private Member Functions
+
+        //- Disallow copy construct
+        basicSubGrid(const basicSubGrid&);
+
+        //- Disallow default bitwise assignment
+        void operator=(const basicSubGrid&);
+
+
+public:
+
+    //- Runtime type information
+    TypeName("basicSubGrid");
+
+
+    // Constructors
+
+        //- Construct from components
+        basicSubGrid
+        (
+            const dictionary& XiEqProperties,
+            const psiuReactionThermo& thermo,
+            const compressible::RASModel& turbulence,
+            const volScalarField& Su
+        );
+
+
+    //- Destructor
+    virtual ~basicSubGrid();
+
+
+    // Member Functions
+
+        //- Return the flame-wrinking XiEq
+        virtual tmp<volScalarField> XiEq() const;
+
+        //- Update properties from given dictionary
+        virtual bool read(const dictionary& XiEqProperties);
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace XiEqModels
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/PDRModels/XiGModels/basicXiSubG/basicXiSubG.C

@@ -0,0 +1,135 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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 "basicXiSubG.H"
+#include "addToRunTimeSelectionTable.H"
+
+// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace XiGModels
+{
+    defineTypeNameAndDebug(basicSubGrid, 0);
+    addToRunTimeSelectionTable(XiGModel, basicSubGrid, dictionary);
+};
+};
+
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+Foam::XiGModels::basicSubGrid::basicSubGrid
+(
+    const dictionary& XiGProperties,
+    const psiuReactionThermo& thermo,
+    const compressible::RASModel& turbulence,
+    const volScalarField& Su
+)
+:
+    XiGModel(XiGProperties, thermo, turbulence, Su),
+    k1(readScalar(XiGModelCoeffs_.lookup("k1"))),
+    XiGModel_(XiGModel::New(XiGModelCoeffs_, thermo, turbulence, Su))
+{}
+
+
+// * * * * * * * * * * * * * * * * Destructors * * * * * * * * * * * * * * * //
+
+Foam::XiGModels::basicSubGrid::~basicSubGrid()
+{}
+
+
+// * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * * //
+
+Foam::tmp<Foam::volScalarField> Foam::XiGModels::basicSubGrid::G() const
+{
+    const objectRegistry& db = Su_.db();
+    const volVectorField& U = db.lookupObject<volVectorField>("U");
+    const volScalarField& Nv = db.lookupObject<volScalarField>("Nv");
+    const volScalarField& Lobs = db.lookupObject<volScalarField>("Lobs");
+
+    tmp<volScalarField> tGtot = XiGModel_->G();
+    volScalarField& Gtot = tGtot();
+
+    const scalarField Cw = pow(Su_.mesh().V(), 2.0/3.0);
+
+    tmp<volScalarField> tN
+    (
+        new volScalarField
+        (
+            IOobject
+            (
+                "tN",
+                Su_.mesh().time().timeName(),
+                Su_.mesh(),
+                IOobject::NO_READ,
+                IOobject::NO_WRITE,
+                false
+            ),
+            Su_.mesh(),
+            dimensionedScalar("zero", Nv.dimensions(), 0.0),
+            zeroGradientFvPatchVectorField::typeName
+        )
+    );
+
+    volScalarField& N = tN();
+
+    N.internalField() = Nv.internalField()*Cw;
+
+    forAll(N, celli)
+    {
+        if (N[celli] > 1e-3)
+        {
+            Gtot[celli] += k1*mag(U[celli])/Lobs[celli];
+        }
+    }
+
+    return tGtot;
+}
+
+
+Foam::tmp<Foam::volScalarField> Foam::XiGModels::basicSubGrid::Db() const
+{
+    const objectRegistry& db = Su_.db();
+    const volScalarField& Xi = db.lookupObject<volScalarField>("Xi");
+    const volScalarField& rho = db.lookupObject<volScalarField>("rho");
+    const volScalarField& mgb = db.lookupObject<volScalarField>("mgb");
+    const volScalarField& Lobs = db.lookupObject<volScalarField>("Lobs");
+
+    return XiGModel_->Db()
+        + rho*Su_*(Xi - 1.0)*mgb*(0.5*Lobs)*Lobs/(mgb*Lobs + 1.0);
+}
+
+
+bool Foam::XiGModels::basicSubGrid::read(const dictionary& XiGProperties)
+{
+    XiGModel::read(XiGProperties);
+
+    XiGModelCoeffs_.lookup("k1") >> k1;
+
+    return true;
+}
+
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/PDRModels/XiGModels/basicXiSubG/basicXiSubG.H

@@ -0,0 +1,136 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2013 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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::XiGModels::basicSubGrid
+
+Description
+
+    Basic sub-grid obstacle flame-wrinking generation rate coefficient model.
+    Details supplied by J Puttock 2/7/06.
+
+    \f$ G_{sub} \f$ denotes the generation coefficient and it is given by
+
+    \f[
+        G_{sub} = k_{1} /frac{\vert \dwea{\vec{U}} \vert}{L_{obs}}
+                 \frac{/Xi_{{sub}_{eq}}-1}{/Xi_{sub}}
+    \f]
+
+    and the removal:
+
+    \f[
+        - k_{1} /frac{\vert \dwea{\vec{U}} \vert}{L_{sub}}
+        \frac{\Xi_{sub}-1}{\Xi_{sub}}
+    \f]
+
+    Finally, \f$ G_{sub} \f$ is added to generation rate \f$ G_{in} \f$
+    due to the turbulence.
+
+SourceFiles
+    basicSubGrid.C
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef basicSubGrid_H
+#define basicSubGrid_H
+
+#include "XiGModel.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace XiGModels
+{
+
+/*---------------------------------------------------------------------------*\
+                        Class basicSubGrid Declaration
+\*---------------------------------------------------------------------------*/
+
+class basicSubGrid
+:
+    public XiGModel
+{
+    // Private data
+
+        //- Sub-grid generation rate coefficient
+        scalar k1;
+
+        //- Xi generation rate model due to turbulence
+        autoPtr<XiGModel> XiGModel_;
+
+
+    // Private Member Functions
+
+        //- Disallow copy construct
+        basicSubGrid(const basicSubGrid&);
+
+        //- Disallow default bitwise assignment
+        void operator=(const basicSubGrid&);
+
+
+public:
+
+    //- Runtime type information
+    TypeName("basicSubGridG");
+
+
+    // Constructors
+
+        //- Construct from components
+        basicSubGrid
+        (
+            const dictionary& XiGProperties,
+            const psiuReactionThermo& thermo,
+            const compressible::RASModel& turbulence,
+            const volScalarField& Su
+        );
+
+
+    //- Destructor
+    virtual ~basicSubGrid();
+
+
+    // Member Functions
+
+        //- Return the flame-wrinking generation rate
+        virtual tmp<volScalarField> G() const;
+
+        //- Return the flame diffusivity
+        virtual tmp<volScalarField> Db() const;
+
+        //- Update properties from given dictionary
+        virtual bool read(const dictionary& XiGProperties);
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace XiGModels
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/PDRModels/dragModels/PDRDragModel/PDRDragModel.C

@@ -0,0 +1,90 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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 "PDRDragModel.H"
+
+// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
+
+namespace Foam
+{
+    defineTypeNameAndDebug(PDRDragModel, 0);
+    defineRunTimeSelectionTable(PDRDragModel, dictionary);
+};
+
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+Foam::PDRDragModel::PDRDragModel
+(
+    const dictionary& PDRProperties,
+    const compressible::RASModel& turbulence,
+    const volScalarField& rho,
+    const volVectorField& U,
+    const surfaceScalarField& phi
+)
+:
+    regIOobject
+    (
+        IOobject
+        (
+            "PDRDragModel",
+            U.time().constant(),
+            U.db()
+        )
+    ),
+    PDRDragModelCoeffs_
+    (
+        PDRProperties.subDict
+        (
+            word(PDRProperties.lookup("PDRDragModel")) + "Coeffs"
+        )
+    ),
+    turbulence_(turbulence),
+    rho_(rho),
+    U_(U),
+    phi_(phi),
+    on_(PDRDragModelCoeffs_.lookup("drag"))
+{}
+
+
+// * * * * * * * * * * * * * * * * Destructors * * * * * * * * * * * * * * * //
+
+Foam::PDRDragModel::~PDRDragModel()
+{}
+
+
+// * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * * //
+
+bool Foam::PDRDragModel::read(const dictionary& PDRProperties)
+{
+    PDRDragModelCoeffs_ = PDRProperties.subDict(type() + "Coeffs");
+
+    PDRDragModelCoeffs_.lookup("drag") >> on_;
+
+    return true;
+}
+
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/PDRModels/dragModels/PDRDragModel/PDRDragModel.H

@@ -0,0 +1,181 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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::PDRDragModel
+
+Description
+    Base-class for sub-grid obstacle drag models. The available drag model is at
+    \link basic.H \endlink.
+
+SourceFiles
+    PDRDragModel.C
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef PDRDragModel_H
+#define PDRDragModel_H
+
+#include "IOdictionary.H"
+#include "psiuReactionThermo.H"
+#include "RASModel.H"
+#include "multivariateSurfaceInterpolationScheme.H"
+#include "runTimeSelectionTables.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+
+/*---------------------------------------------------------------------------*\
+                          Class PDRDragModel Declaration
+\*---------------------------------------------------------------------------*/
+
+class PDRDragModel
+:
+    public regIOobject
+{
+
+protected:
+
+    // Protected data
+
+        dictionary PDRDragModelCoeffs_;
+
+        const compressible::RASModel& turbulence_;
+        const volScalarField& rho_;
+        const volVectorField& U_;
+        const surfaceScalarField& phi_;
+
+        Switch on_;
+
+
+private:
+
+    // Private Member Functions
+
+        //- Disallow copy construct
+        PDRDragModel(const PDRDragModel&);
+
+        //- Disallow default bitwise assignment
+        void operator=(const PDRDragModel&);
+
+
+public:
+
+    //- Runtime type information
+    TypeName("PDRDragModel");
+
+
+    // Declare run-time constructor selection table
+
+        declareRunTimeSelectionTable
+        (
+            autoPtr,
+            PDRDragModel,
+            dictionary,
+            (
+                const dictionary& PDRProperties,
+                const compressible::RASModel& turbulence,
+                const volScalarField& rho,
+                const volVectorField& U,
+                const surfaceScalarField& phi
+            ),
+            (
+                PDRProperties,
+                turbulence,
+                rho,
+                U,
+                phi
+            )
+        );
+
+
+    // Selectors
+
+        //- Return a reference to the selected Xi model
+        static autoPtr<PDRDragModel> New
+        (
+            const dictionary& PDRProperties,
+            const compressible::RASModel& turbulence,
+            const volScalarField& rho,
+            const volVectorField& U,
+            const surfaceScalarField& phi
+        );
+
+
+    // Constructors
+
+        //- Construct from components
+        PDRDragModel
+        (
+            const dictionary& PDRProperties,
+            const compressible::RASModel& turbulence,
+            const volScalarField& rho,
+            const volVectorField& U,
+            const surfaceScalarField& phi
+        );
+
+
+    //- Destructor
+    virtual ~PDRDragModel();
+
+
+    // Member Functions
+
+        //- Return true if the drag model is switched on
+        bool on() const
+        {
+            return on_;
+        }
+
+        //- Return the momentum drag coefficient
+        virtual tmp<volSymmTensorField> Dcu() const = 0;
+
+        //- Return the momentum drag turbulence generation rate
+        virtual tmp<volScalarField> Gk() const = 0;
+
+        //- Update properties from given dictionary
+        virtual bool read(const dictionary& PDRProperties) = 0;
+
+        virtual bool writeData(Ostream&) const
+        {
+            return true;
+        }
+
+        virtual void writeFields() const
+        {
+            notImplemented("PDRDragModel::write()");
+        }
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/PDRModels/dragModels/PDRDragModel/PDRDragModelNew.C

@@ -0,0 +1,63 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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 "PDRDragModel.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+Foam::autoPtr<Foam::PDRDragModel> Foam::PDRDragModel::New
+(
+    const dictionary& PDRProperties,
+    const compressible::RASModel& turbulence,
+    const volScalarField& rho,
+    const volVectorField& U,
+    const surfaceScalarField& phi
+)
+{
+    const word modelType(PDRProperties.lookup("PDRDragModel"));
+
+    Info<< "Selecting flame-wrinkling model " << modelType << endl;
+
+    dictionaryConstructorTable::iterator cstrIter =
+        dictionaryConstructorTablePtr_->find(modelType);
+
+    if (cstrIter == dictionaryConstructorTablePtr_->end())
+    {
+        FatalErrorIn
+        (
+            "PDRDragModel::New"
+        )   << "Unknown PDRDragModel type "
+            << modelType << nl << nl
+            << "Valid  PDRDragModels are : " << endl
+            << dictionaryConstructorTablePtr_->sortedToc()
+            << exit(FatalError);
+    }
+
+    return autoPtr<PDRDragModel>
+        (cstrIter()(PDRProperties, turbulence, rho, U, phi));
+}
+
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/PDRModels/dragModels/basic/basic.C

@@ -0,0 +1,188 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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 "basic.H"
+#include "addToRunTimeSelectionTable.H"
+
+// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace PDRDragModels
+{
+    defineTypeNameAndDebug(basic, 0);
+    addToRunTimeSelectionTable(PDRDragModel, basic, dictionary);
+}
+}
+
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+Foam::PDRDragModels::basic::basic
+(
+    const dictionary& PDRProperties,
+    const compressible::RASModel& turbulence,
+    const volScalarField& rho,
+    const volVectorField& U,
+    const surfaceScalarField& phi
+)
+:
+    PDRDragModel(PDRProperties, turbulence, rho, U, phi),
+    Csu("Csu", dimless, PDRDragModelCoeffs_.lookup("Csu")),
+    Csk("Csk", dimless, PDRDragModelCoeffs_.lookup("Csk")),
+
+    Aw_
+    (
+        IOobject
+        (
+            "Aw",
+            U_.mesh().facesInstance(),
+            U_.mesh(),
+            IOobject::MUST_READ,
+            IOobject::NO_WRITE
+        ),
+        U_.mesh()
+    ),
+
+    CR_
+    (
+        IOobject
+        (
+            "CR",
+            U_.mesh().facesInstance(),
+            U_.mesh(),
+            IOobject::MUST_READ,
+            IOobject::NO_WRITE
+        ),
+        U_.mesh()
+    )
+{}
+
+
+// * * * * * * * * * * * * * * * * Destructors * * * * * * * * * * * * * * * //
+
+Foam::PDRDragModels::basic::~basic()
+{}
+
+
+// * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * * //
+
+Foam::tmp<Foam::volSymmTensorField> Foam::PDRDragModels::basic::Dcu() const
+{
+    tmp<volSymmTensorField> tDragDcu
+    (
+        new volSymmTensorField
+        (
+            IOobject
+            (
+                "tDragDcu",
+                U_.mesh().time().constant(),
+                U_.mesh(),
+                IOobject::NO_READ,
+                IOobject::NO_WRITE
+            ),
+            U_.mesh(),
+            dimensionedSymmTensor
+            (
+                "zero",
+                dimMass/dimTime/pow(dimLength, 3),
+                pTraits<symmTensor>::zero
+            ),
+            zeroGradientFvPatchSymmTensorField::typeName
+        )
+    );
+
+    volSymmTensorField& DragDcu = tDragDcu();
+
+    if (on_)
+    {
+        const volScalarField& betav =
+            U_.db().lookupObject<volScalarField>("betav");
+
+        DragDcu =
+            (0.5*rho_)*CR_*mag(U_) + (Csu*I)*betav*turbulence_.muEff()*sqr(Aw_);
+    }
+
+    return tDragDcu;
+}
+
+
+Foam::tmp<Foam::volScalarField> Foam::PDRDragModels::basic::Gk() const
+{
+    tmp<volScalarField> tGk
+    (
+        new volScalarField
+        (
+            IOobject
+            (
+                "tGk",
+                U_.mesh().time().constant(),
+                U_.mesh(),
+                IOobject::NO_READ,
+                IOobject::NO_WRITE
+            ),
+            U_.mesh(),
+            dimensionedScalar("zero", dimMass/dimLength/pow(dimTime, 3), 0.0),
+            zeroGradientFvPatchVectorField::typeName
+        )
+    );
+
+    volScalarField& Gk = tGk();
+
+    if (on_)
+    {
+        const volScalarField& betav =
+            U_.db().lookupObject<volScalarField>("betav");
+
+        const volSymmTensorField& CT =
+            U_.db().lookupObject<volSymmTensorField>("CT");
+
+        Gk =
+            (0.5*rho_)*mag(U_)*(U_ & CT & U_)
+          + Csk*betav*turbulence_.muEff()*sqr(Aw_)*magSqr(U_);
+    }
+
+    return tGk;
+}
+
+
+bool Foam::PDRDragModels::basic::read(const dictionary& PDRProperties)
+{
+    PDRDragModel::read(PDRProperties);
+
+    PDRDragModelCoeffs_.lookup("Csu") >> Csu.value();
+    PDRDragModelCoeffs_.lookup("Csk") >> Csk.value();
+
+    return true;
+}
+
+
+void Foam::PDRDragModels::basic::writeFields() const
+{
+    Aw_.write();
+    CR_.write();
+}
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/PDRModels/dragModels/basic/basic.H

@@ -0,0 +1,166 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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::PDRDragModels::basic
+
+Description
+    Basic sub-grid obstacle drag model.
+    Details supplied by J Puttock 2/7/06.
+
+    <b> Sub-grid drag term </b>
+
+    The resistance term (force per unit of volume) is given by:
+
+    \f[
+        R = -\frac{1}{2} \rho \vert \dwea{\vec{U}} \vert \dwea{\vec{U}}.D
+    \f]
+
+    where:
+
+        \f$ D \f$ is the tensor field "CR" in \f$ m^{-1} \f$
+
+        This is term is treated implicitly in UEqn.H
+
+    <b> Sub-grid turbulence generation </b>
+
+    The turbulence source term \f$ G_{R} \f$ occurring in the
+    \f$ \kappa-\epsilon \f$ equations for the generation of turbulence due
+    to interaction with unresolved obstacles :
+
+    \f$ G_{R} = C_{s}\beta_{\nu}
+    \mu_{eff} A_{w}^{2}(\dwea{\vec{U}}-\dwea{\vec{U}_{s}})^2 + \frac{1}{2}
+    \rho \vert \dwea{\vec{U}} \vert \dwea{\vec{U}}.T.\dwea{\vec{U}} \f$
+
+    where:
+
+        \f$ C_{s} \f$ = 1
+
+        \f$ \beta_{\nu} \f$ is the volume porosity (file "betav").
+
+        \f$ \mu_{eff} \f$ is the effective viscosity.
+
+        \f$ A_{w}^{2}\f$ is the obstacle surface area per unit of volume
+        (file "Aw").
+
+        \f$ \dwea{\vec{U}_{s}} \f$ is the slip velocity and is considered
+        \f$ \frac{1}{2}. \dwea{\vec{U}} \f$.
+
+        \f$ T \f$ is a tensor in the file CT.
+
+    The term \f$ G_{R} \f$ is treated explicitly in the \f$ \kappa-\epsilon
+    \f$ Eqs in the \link PDRkEpsilon.C \endlink file.
+
+
+SourceFiles
+    basic.C
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef basic_H
+#define basic_H
+
+#include "PDRDragModel.H"
+#include "XiEqModel.H"
+
+
+namespace Foam
+{
+namespace PDRDragModels
+{
+
+/*---------------------------------------------------------------------------*\
+                          Class basic Declaration
+\*---------------------------------------------------------------------------*/
+
+class basic
+:
+    public PDRDragModel
+{
+    // Private data
+
+        dimensionedScalar Csu;
+        dimensionedScalar Csk;
+
+        volScalarField Aw_;
+        volSymmTensorField CR_;
+
+
+    // Private Member Functions
+
+        //- Disallow copy construct
+        basic(const basic&);
+
+        //- Disallow default bitwise assignment
+        void operator=(const basic&);
+
+
+public:
+
+    //- Runtime type information
+    TypeName("basic");
+
+
+    // Constructors
+
+        //- Construct from components
+        basic
+        (
+            const dictionary& PDRProperties,
+            const compressible::RASModel& turbulence,
+            const volScalarField& rho,
+            const volVectorField& U,
+            const surfaceScalarField& phi
+        );
+
+
+    //- Destructor
+    virtual ~basic();
+
+
+    // Member Functions
+
+        //- Return the momentum drag coefficient
+        virtual tmp<volSymmTensorField> Dcu() const;
+
+        //- Return the momentum drag turbulence generation rate
+        virtual tmp<volScalarField> Gk() const;
+
+        //- Update properties from given dictionary
+        virtual bool read(const dictionary& PDRProperties);
+
+        //- Write fields
+        void writeFields() const;
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace PDRDragModels
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/PDRModels/turbulence/PDRkEpsilon/PDRkEpsilon.C

@@ -0,0 +1,195 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2013 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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 "PDRkEpsilon.H"
+#include "PDRDragModel.H"
+#include "addToRunTimeSelectionTable.H"
+
+#include "backwardsCompatibilityWallFunctions.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace compressible
+{
+namespace RASModels
+{
+
+// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
+
+defineTypeNameAndDebug(PDRkEpsilon, 0);
+addToRunTimeSelectionTable(RASModel, PDRkEpsilon, dictionary);
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+PDRkEpsilon::PDRkEpsilon
+(
+    const volScalarField& rho,
+    const volVectorField& U,
+    const surfaceScalarField& phi,
+    const fluidThermo& thermophysicalModel,
+    const word& turbulenceModelName,
+    const word& modelName
+)
+:
+    kEpsilon(rho, U, phi, thermophysicalModel, turbulenceModelName, modelName),
+
+    C4_
+    (
+        dimensioned<scalar>::lookupOrAddToDict
+        (
+            "C4",
+            coeffDict_,
+            0.1
+        )
+    )
+{}
+
+
+// * * * * * * * * * * * * * * * * * Destructor  * * * * * * * * * * * * * * //
+
+PDRkEpsilon::~PDRkEpsilon()
+{}
+
+
+// * * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * //
+
+bool PDRkEpsilon::read()
+{
+    if (RASModel::read())
+    {
+        C4_.readIfPresent(coeffDict_);
+        return true;
+    }
+    else
+    {
+        return false;
+    }
+}
+
+
+void PDRkEpsilon::correct()
+{
+    if (!turbulence_)
+    {
+        // Re-calculate viscosity
+        mut_ = rho_*Cmu_*sqr(k_)/epsilon_;
+        mut_.correctBoundaryConditions();
+
+        // Re-calculate thermal diffusivity
+        alphat_ = mut_/Prt_;
+        alphat_.correctBoundaryConditions();
+
+        return;
+    }
+
+    RASModel::correct();
+
+    volScalarField divU(fvc::div(phi_/fvc::interpolate(rho_)));
+
+    if (mesh_.moving())
+    {
+        divU += fvc::div(mesh_.phi());
+    }
+
+    tmp<volTensorField> tgradU = fvc::grad(U_);
+    volScalarField G(GName(), mut_*(tgradU() && dev(twoSymm(tgradU()))));
+    tgradU.clear();
+
+    // Update espsilon and G at the wall
+    epsilon_.boundaryField().updateCoeffs();
+
+    // Add the blockage generation term so that it is included consistently
+    // in both the k and epsilon equations
+    const volScalarField& betav =
+        U_.db().lookupObject<volScalarField>("betav");
+
+    const volScalarField& Lobs =
+        U_.db().lookupObject<volScalarField>("Lobs");
+
+    const PDRDragModel& drag =
+        U_.db().lookupObject<PDRDragModel>("PDRDragModel");
+
+    volScalarField GR(drag.Gk());
+
+    volScalarField LI
+        (C4_*(Lobs + dimensionedScalar("minLength", dimLength, VSMALL)));
+
+    // Dissipation equation
+    tmp<fvScalarMatrix> epsEqn
+    (
+        betav*fvm::ddt(rho_, epsilon_)
+      + fvm::div(phi_, epsilon_)
+      - fvm::laplacian(DepsilonEff(), epsilon_)
+     ==
+        C1_*betav*G*epsilon_/k_
+      + 1.5*pow(Cmu_, 3.0/4.0)*GR*sqrt(k_)/LI
+      - fvm::SuSp(((2.0/3.0)*C1_)*betav*rho_*divU, epsilon_)
+      - fvm::Sp(C2_*betav*rho_*epsilon_/k_, epsilon_)
+    );
+
+    epsEqn().relax();
+
+    epsEqn().boundaryManipulate(epsilon_.boundaryField());
+
+    solve(epsEqn);
+    bound(epsilon_, epsilonMin_);
+
+
+    // Turbulent kinetic energy equation
+
+    tmp<fvScalarMatrix> kEqn
+    (
+        betav*fvm::ddt(rho_, k_)
+      + fvm::div(phi_, k_)
+      - fvm::laplacian(DkEff(), k_)
+     ==
+        betav*G + GR
+      - fvm::SuSp((2.0/3.0)*betav*rho_*divU, k_)
+      - fvm::Sp(betav*rho_*epsilon_/k_, k_)
+    );
+
+    kEqn().relax();
+    solve(kEqn);
+    bound(k_, kMin_);
+
+    // Re-calculate viscosity
+    mut_ = rho_*Cmu_*sqr(k_)/epsilon_;
+    mut_.correctBoundaryConditions();
+
+    // Re-calculate thermal diffusivity
+    alphat_ = mut_/Prt_;
+    alphat_.correctBoundaryConditions();
+}
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace RASModels
+} // End namespace compressible
+} // End namespace Foam
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/PDRModels/turbulence/PDRkEpsilon/PDRkEpsilon.H

@@ -0,0 +1,133 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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::compressible::RASModels::PDRkEpsilon
+
+Description
+    Standard k-epsilon turbulence model with additional source terms
+    corresponding to PDR basic drag model (\link basic.H \endlink)
+
+    The default model coefficients correspond to the following:
+    @verbatim
+        PDRkEpsilonCoeffs
+        {
+            Cmu         0.09;
+            C1          1.44;
+            C2          1.92;
+            C3          -0.33;  // only for compressible
+            C4          0.1;
+            sigmak      1.0;    // only for compressible
+            sigmaEps    1.3;
+            Prt         1.0;    // only for compressible
+        }
+    @endverbatim
+
+    The turbulence source term \f$ G_{R} \f$ appears in the
+    \f$ \kappa-\epsilon \f$ equation for the generation of turbulence due to
+    interaction with unresolved obstacles.
+
+    In the \f$ \epsilon  \f$ equation \f$ C_{1} G_{R} \f$ is added as a source
+    term.
+
+    In the \f$ \kappa \f$ equation \f$ G_{R} \f$ is added as a source term.
+
+SourceFiles
+    PDRkEpsilon.C
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef compressiblePDRkEpsilon_H
+#define compressiblePDRkEpsilon_H
+
+
+#include "kEpsilon.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace compressible
+{
+namespace RASModels
+{
+
+/*---------------------------------------------------------------------------*\
+                           Class PDRkEpsilon Declaration
+\*---------------------------------------------------------------------------*/
+
+class PDRkEpsilon
+:
+    public kEpsilon
+{
+    // Private data
+
+        // Model coefficients
+        dimensionedScalar C4_;
+
+
+public:
+
+    //- Runtime type information
+    TypeName("PDRkEpsilon");
+
+
+    // Constructors
+
+        //- Construct from components
+        PDRkEpsilon
+        (
+            const volScalarField& rho,
+            const volVectorField& U,
+            const surfaceScalarField& phi,
+            const fluidThermo& thermophysicalModel,
+            const word& turbulenceModelName = turbulenceModel::typeName,
+            const word& modelName = typeName
+        );
+
+
+    //- Destructor
+    virtual ~PDRkEpsilon();
+
+
+    // Member Functions
+
+        //- Solve the turbulence equations and correct the turbulence viscosity
+        void correct();
+
+        //- Read turbulenceProperties dictionary
+        bool read();
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace RASModels
+} // End namespace compressible
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/StCourantNo.H

@@ -0,0 +1,53 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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/>.
+
+Global
+    CourantNo
+
+Description
+    Calculates and outputs the mean and maximum Courant Numbers.
+
+\*---------------------------------------------------------------------------*/
+
+{
+    scalar meanStCoNum = 0.0;
+
+    if (mesh.nInternalFaces())
+    {
+       scalarField sumPhi
+        (
+            fvc::surfaceSum(mag(phiSt))().internalField()
+          / rho.internalField()
+        );
+
+        StCoNum = 0.5*gMax(sumPhi/mesh.V().field())*runTime.deltaTValue();
+
+        meanStCoNum =
+            0.5*(gSum(sumPhi)/gSum(mesh.V().field()))*runTime.deltaTValue();
+    }
+
+    Info<< "St courant Number mean: " << meanStCoNum
+        << " max: " << StCoNum << endl;
+}
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/UEqn.H

@@ -0,0 +1,17 @@
+    fvVectorMatrix UEqn
+    (
+        betav*fvm::ddt(rho, U)
+      + fvm::div(phi, U)
+      + turbulence->divDevRhoReff(U)
+     ==
+        betav*rho*g
+    );
+
+    volSymmTensorField invA(inv(I*UEqn.A() + drag->Dcu()));
+
+    if (pimple.momentumPredictor())
+    {
+        U = invA & (UEqn.H() - betav*fvc::grad(p));
+        U.correctBoundaryConditions();
+        K = 0.5*magSqr(U);
+    }

applications/solvers/combustion/PDRFoam/XiModels/XiEqModels/Gulder/Gulder.C

@@ -0,0 +1,107 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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 "Gulder.H"
+#include "addToRunTimeSelectionTable.H"
+
+// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace XiEqModels
+{
+    defineTypeNameAndDebug(Gulder, 0);
+    addToRunTimeSelectionTable(XiEqModel, Gulder, dictionary);
+}
+}
+
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+Foam::XiEqModels::Gulder::Gulder
+(
+    const dictionary& XiEqProperties,
+    const psiuReactionThermo& thermo,
+    const compressible::RASModel& turbulence,
+    const volScalarField& Su
+)
+:
+    XiEqModel(XiEqProperties, thermo, turbulence, Su),
+    XiEqCoef_(readScalar(XiEqModelCoeffs_.lookup("XiEqCoef"))),
+    SuMin_(0.01*Su.average()),
+    uPrimeCoef_(readScalar(XiEqModelCoeffs_.lookup("uPrimeCoef"))),
+    subGridSchelkin_
+    (
+        readBool(XiEqModelCoeffs_.lookup("subGridSchelkin"))
+    )
+{}
+
+
+// * * * * * * * * * * * * * * * * Destructors * * * * * * * * * * * * * * * //
+
+Foam::XiEqModels::Gulder::~Gulder()
+{}
+
+
+// * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * * //
+
+Foam::tmp<Foam::volScalarField> Foam::XiEqModels::Gulder::XiEq() const
+{
+    volScalarField up(sqrt((2.0/3.0)*turbulence_.k()));
+    const volScalarField& epsilon = turbulence_.epsilon();
+
+    if (subGridSchelkin_)
+    {
+        up.internalField() += calculateSchelkinEffect(uPrimeCoef_);
+    }
+
+    volScalarField tauEta(sqrt(mag(thermo_.muu()/(thermo_.rhou()*epsilon))));
+
+    volScalarField Reta
+    (
+        up
+      / (
+            sqrt(epsilon*tauEta)
+          + dimensionedScalar("1e-8", up.dimensions(), 1e-8)
+        )
+    );
+
+    return (1.0 + XiEqCoef_*sqrt(up/(Su_ + SuMin_))*Reta);
+}
+
+
+bool Foam::XiEqModels::Gulder::read(const dictionary& XiEqProperties)
+{
+    XiEqModel::read(XiEqProperties);
+
+    XiEqModelCoeffs_.lookup("XiEqCoef") >> XiEqCoef_;
+    XiEqModelCoeffs_.lookup("uPrimeCoef") >> uPrimeCoef_;
+    XiEqModelCoeffs_.lookup("subGridSchelkin") >> subGridSchelkin_;
+
+    return true;
+}
+
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/XiEqModels/Gulder/Gulder.H

@@ -0,0 +1,122 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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::XiEqModels::Gulder
+
+Description
+    Simple Gulder model for XiEq based on Gulders correlation
+    with a linear correction function to give a plausible profile for XiEq.
+
+SourceFiles
+    Gulder.C
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef Gulder_H
+#define Gulder_H
+
+#include "XiEqModel.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace XiEqModels
+{
+
+/*---------------------------------------------------------------------------*\
+                          Class Gulder Declaration
+\*---------------------------------------------------------------------------*/
+
+class Gulder
+:
+    public XiEqModel
+{
+    // Private data
+
+        //- Model constant
+        scalar XiEqCoef_;
+
+        //- Minimum laminar burning velocity
+        const dimensionedScalar SuMin_;
+
+        //- Schelkin effect Model constant
+        scalar uPrimeCoef_;
+
+        //- Use sub-grid Schelkin effect
+        bool subGridSchelkin_;
+
+
+    // Private Member Functions
+
+        //- Disallow copy construct
+        Gulder(const Gulder&);
+
+        //- Disallow default bitwise assignment
+        void operator=(const Gulder&);
+
+
+public:
+
+    //- Runtime type information
+    TypeName("Gulder");
+
+
+    // Constructors
+
+        //- Construct from components
+        Gulder
+        (
+            const dictionary& XiEqProperties,
+            const psiuReactionThermo& thermo,
+            const compressible::RASModel& turbulence,
+            const volScalarField& Su
+        );
+
+
+    //- Destructor
+    virtual ~Gulder();
+
+
+    // Member Functions
+
+        //- Return the flame-wrinking XiEq
+        virtual tmp<volScalarField> XiEq() const;
+
+        //- Update properties from given dictionary
+        virtual bool read(const dictionary& XiEqProperties);
+
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace XiEqModels
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/XiEqModels/SCOPEBlendXiEq/SCOPEBlendXiEq.C

@@ -0,0 +1,93 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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 "SCOPEBlendXiEq.H"
+#include "addToRunTimeSelectionTable.H"
+
+// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace XiEqModels
+{
+    defineTypeNameAndDebug(SCOPEBlend, 0);
+    addToRunTimeSelectionTable(XiEqModel, SCOPEBlend, dictionary);
+}
+}
+
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+Foam::XiEqModels::SCOPEBlend::SCOPEBlend
+(
+    const dictionary& XiEqProperties,
+    const psiuReactionThermo& thermo,
+    const compressible::RASModel& turbulence,
+    const volScalarField& Su
+)
+:
+    XiEqModel(XiEqProperties, thermo, turbulence, Su),
+    XiEqModelL_
+    (
+        XiEqModel::New
+        (
+            XiEqModelCoeffs_.subDict("XiEqModelL"),
+            thermo,
+            turbulence,
+            Su
+        )
+    ),
+    XiEqModelH_
+    (
+        XiEqModel::New
+        (
+            XiEqModelCoeffs_.subDict("XiEqModelH"),
+            thermo,
+            turbulence,
+            Su
+        )
+    )
+{}
+
+
+// * * * * * * * * * * * * * * * * Destructors * * * * * * * * * * * * * * * //
+
+Foam::XiEqModels::SCOPEBlend::~SCOPEBlend()
+{}
+
+
+// * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * * //
+
+Foam::tmp<Foam::volScalarField> Foam::XiEqModels::SCOPEBlend::XiEq() const
+{
+    return pow
+    (
+        pow4(1.0/XiEqModelL_->XiEq()) + pow4(1.0/XiEqModelH_->XiEq()),
+        -0.25
+    );
+}
+
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/XiEqModels/SCOPEBlendXiEq/SCOPEBlendXiEq.H

@@ -0,0 +1,121 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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::XiEqModels::SCOPEBlend
+
+Description
+    Simple SCOPEBlendXiEq model for XiEq based on SCOPEXiEqs correlation
+    with a linear correction function to give a plausible profile for XiEq.
+    See @link SCOPELaminarFlameSpeed.H @endlink for details on the SCOPE
+    laminar flame speed model.
+
+SourceFiles
+    SCOPEBlend.C
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef SCOPEBlend_H
+#define SCOPEBlend_H
+
+#include "XiEqModel.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace XiEqModels
+{
+
+/*---------------------------------------------------------------------------*\
+                          Class SCOPEBlend Declaration
+\*---------------------------------------------------------------------------*/
+
+class SCOPEBlend
+:
+    public XiEqModel
+{
+    // Private data
+
+        //- Low turbulence intensity equilibrium Xi model
+        autoPtr<XiEqModel> XiEqModelL_;
+
+        //- High turbulence intensity equilibrium Xi model
+        autoPtr<XiEqModel> XiEqModelH_;
+
+
+    // Private Member Functions
+
+        //- Disallow copy construct
+        SCOPEBlend(const SCOPEBlend&);
+
+        //- Disallow default bitwise assignment
+        void operator=(const SCOPEBlend&);
+
+
+public:
+
+    //- Runtime type information
+    TypeName("SCOPEBlend");
+
+
+    // Constructors
+
+        //- Construct from components
+        SCOPEBlend
+        (
+            const dictionary& XiEqProperties,
+            const psiuReactionThermo& thermo,
+            const compressible::RASModel& turbulence,
+            const volScalarField& Su
+        );
+
+
+    //- Destructor
+    virtual ~SCOPEBlend();
+
+
+    // Member Functions
+
+        //- Return the flame-wrinking XiEq
+        virtual tmp<volScalarField> XiEq() const;
+
+        //- Update properties from given dictionary
+        virtual bool read(const dictionary& XiEqProperties)
+        {
+            return true;
+        }
+
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace XiEqModels
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/XiEqModels/SCOPEXiEq/SCOPEXiEq.C

@@ -0,0 +1,167 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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 "SCOPEXiEq.H"
+#include "addToRunTimeSelectionTable.H"
+
+// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace XiEqModels
+{
+    defineTypeNameAndDebug(SCOPEXiEq, 0);
+    addToRunTimeSelectionTable(XiEqModel, SCOPEXiEq, dictionary);
+}
+}
+
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+Foam::XiEqModels::SCOPEXiEq::SCOPEXiEq
+(
+    const dictionary& XiEqProperties,
+    const psiuReactionThermo& thermo,
+    const compressible::RASModel& turbulence,
+    const volScalarField& Su
+)
+:
+    XiEqModel(XiEqProperties, thermo, turbulence, Su),
+    XiEqCoef_(readScalar(XiEqModelCoeffs_.lookup("XiEqCoef"))),
+    XiEqExp_(readScalar(XiEqModelCoeffs_.lookup("XiEqExp"))),
+    lCoef_(readScalar(XiEqModelCoeffs_.lookup("lCoef"))),
+    SuMin_(0.01*Su.average()),
+    uPrimeCoef_(readScalar(XiEqModelCoeffs_.lookup("uPrimeCoef"))),
+    subGridSchelkin_
+    (
+        readBool(XiEqModelCoeffs_.lookup("subGridSchelkin"))
+    ),
+    MaModel
+    (
+        IOdictionary
+        (
+            IOobject
+            (
+                "combustionProperties",
+                Su.mesh().time().constant(),
+                Su.mesh(),
+                IOobject::MUST_READ
+            )
+        ),
+        thermo
+    )
+{}
+
+
+// * * * * * * * * * * * * * * * * Destructors * * * * * * * * * * * * * * * //
+
+Foam::XiEqModels::SCOPEXiEq::~SCOPEXiEq()
+{}
+
+
+// * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * * //
+
+Foam::tmp<Foam::volScalarField> Foam::XiEqModels::SCOPEXiEq::XiEq() const
+{
+    const volScalarField& k = turbulence_.k();
+    const volScalarField& epsilon = turbulence_.epsilon();
+
+    volScalarField up(sqrt((2.0/3.0)*k));
+    if (subGridSchelkin_)
+    {
+        up.internalField() += calculateSchelkinEffect(uPrimeCoef_);
+    }
+
+    volScalarField l(lCoef_*sqrt(3.0/2.0)*up*k/epsilon);
+    volScalarField Rl(up*l*thermo_.rhou()/thermo_.muu());
+
+    volScalarField upBySu(up/(Su_ + SuMin_));
+    volScalarField K(0.157*upBySu/sqrt(Rl));
+    volScalarField Ma(MaModel.Ma());
+
+    tmp<volScalarField> tXiEq
+    (
+        new volScalarField
+        (
+            IOobject
+            (
+                "XiEq",
+                epsilon.time().timeName(),
+                epsilon.db(),
+                IOobject::NO_READ,
+                IOobject::NO_WRITE
+            ),
+            epsilon.mesh(),
+            dimensionedScalar("XiEq", dimless, 0.0)
+        )
+    );
+    volScalarField& xieq = tXiEq();
+
+    forAll(xieq, celli)
+    {
+        if (Ma[celli] > 0.01)
+        {
+            xieq[celli] =
+                XiEqCoef_*pow(K[celli]*Ma[celli], -XiEqExp_)*upBySu[celli];
+        }
+    }
+
+    forAll(xieq.boundaryField(), patchi)
+    {
+        scalarField& xieqp = xieq.boundaryField()[patchi];
+        const scalarField& Kp = K.boundaryField()[patchi];
+        const scalarField& Map = Ma.boundaryField()[patchi];
+        const scalarField& upBySup = upBySu.boundaryField()[patchi];
+
+        forAll(xieqp, facei)
+        {
+            if (Ma[facei] > 0.01)
+            {
+                xieqp[facei] =
+                    XiEqCoef_*pow(Kp[facei]*Map[facei], -XiEqExp_)
+                   *upBySup[facei];
+            }
+        }
+    }
+
+    return tXiEq;
+}
+
+
+bool Foam::XiEqModels::SCOPEXiEq::read(const dictionary& XiEqProperties)
+{
+    XiEqModel::read(XiEqProperties);
+
+    XiEqModelCoeffs_.lookup("XiEqCoef") >> XiEqCoef_;
+    XiEqModelCoeffs_.lookup("XiEqExp") >> XiEqExp_;
+    XiEqModelCoeffs_.lookup("lCoef") >> lCoef_;
+    XiEqModelCoeffs_.lookup("uPrimeCoef") >> uPrimeCoef_;
+    XiEqModelCoeffs_.lookup("subGridSchelkin") >> subGridSchelkin_;
+
+    return true;
+}
+
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/XiEqModels/SCOPEXiEq/SCOPEXiEq.H

@@ -0,0 +1,135 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2013 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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::XiEqModels::SCOPEXiEq
+
+Description
+    Simple SCOPEXiEq model for XiEq based on SCOPEXiEqs correlation
+    with a linear correction function to give a plausible profile for XiEq.
+    See \link SCOPELaminarFlameSpeed.H \endlink for details on the SCOPE laminar
+    flame speed model.
+
+SourceFiles
+    SCOPEXiEq.C
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef SCOPEXiEq_H
+#define SCOPEXiEq_H
+
+#include "XiEqModel.H"
+#include "SCOPELaminarFlameSpeed.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace XiEqModels
+{
+
+/*---------------------------------------------------------------------------*\
+                          Class SCOPEXiEq Declaration
+\*---------------------------------------------------------------------------*/
+
+class SCOPEXiEq
+:
+    public XiEqModel
+{
+    // Private data
+
+        // Model constant
+        scalar XiEqCoef_;
+
+        // Model constant
+        scalar XiEqExp_;
+
+        // Model constant
+        scalar lCoef_;
+
+        //- Minimum Su
+        dimensionedScalar SuMin_;
+
+        //- Schelkin effect Model constant
+        scalar uPrimeCoef_;
+
+        //- Use sub-grid Schelkin effect
+        bool subGridSchelkin_;
+
+        //- The SCOPE laminar flame speed model used to obtain the
+        //  Marstein number.  Note: the laminar flame speed need not be
+        //  obtained form the same model.
+        laminarFlameSpeedModels::SCOPE MaModel;
+
+
+    // Private Member Functions
+
+        //- Disallow copy construct
+        SCOPEXiEq(const SCOPEXiEq&);
+
+        //- Disallow default bitwise assignment
+        void operator=(const SCOPEXiEq&);
+
+
+public:
+
+    //- Runtime type information
+    TypeName("SCOPEXiEq");
+
+
+    // Constructors
+
+        //- Construct from components
+        SCOPEXiEq
+        (
+            const dictionary& XiEqProperties,
+            const psiuReactionThermo& thermo,
+            const compressible::RASModel& turbulence,
+            const volScalarField& Su
+        );
+
+
+    //- Destructor
+    virtual ~SCOPEXiEq();
+
+
+    // Member Functions
+
+        //- Return the flame-wrinking XiEq
+        virtual tmp<volScalarField> XiEq() const;
+
+        //- Update properties from given dictionary
+        virtual bool read(const dictionary& XiEqProperties);
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace XiEqModels
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/XiEqModels/XiEqModel/XiEqModel.C

@@ -0,0 +1,193 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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 "XiEqModel.H"
+
+// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
+
+namespace Foam
+{
+    defineTypeNameAndDebug(XiEqModel, 0);
+    defineRunTimeSelectionTable(XiEqModel, dictionary);
+}
+
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+Foam::XiEqModel::XiEqModel
+(
+    const dictionary& XiEqProperties,
+    const psiuReactionThermo& thermo,
+    const compressible::RASModel& turbulence,
+    const volScalarField& Su
+)
+:
+    XiEqModelCoeffs_
+    (
+        XiEqProperties.subDict
+        (
+            word(XiEqProperties.lookup("XiEqModel")) + "Coeffs"
+        )
+    ),
+    thermo_(thermo),
+    turbulence_(turbulence),
+    Su_(Su),
+    Nv_
+    (
+        IOobject
+        (
+            "Nv",
+            Su.mesh().facesInstance(),
+            Su.mesh(),
+            IOobject::MUST_READ,
+            IOobject::NO_WRITE
+        ),
+        Su.mesh()
+    ),
+    nsv_
+    (
+        IOobject
+        (
+            "nsv",
+            Su.mesh().facesInstance(),
+            Su.mesh(),
+            IOobject::MUST_READ,
+            IOobject::NO_WRITE
+        ),
+        Su.mesh()
+    )
+{}
+
+
+// * * * * * * * * * * * * * * * * Destructors * * * * * * * * * * * * * * * //
+
+Foam::XiEqModel::~XiEqModel()
+{}
+
+
+// * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * * //
+
+bool Foam::XiEqModel::read(const dictionary& XiEqProperties)
+{
+    XiEqModelCoeffs_ = XiEqProperties.subDict(type() + "Coeffs");
+
+    return true;
+}
+
+
+void Foam::XiEqModel::writeFields() const
+{
+    Nv_.write();
+    nsv_.write();
+    if (Su_.mesh().foundObject<volSymmTensorField>("B"))
+    {
+        const volSymmTensorField& B =
+            Su_.mesh().lookupObject<volSymmTensorField>("B");
+        B.write();
+    }
+}
+
+Foam::tmp<Foam::volScalarField>
+Foam::XiEqModel::calculateSchelkinEffect(const scalar uPrimeCoef) const
+{
+    const fvMesh& mesh = Su_.mesh();
+
+    const volVectorField& U = mesh.lookupObject<volVectorField>("U");
+
+    const volSymmTensorField& CT = mesh.lookupObject<volSymmTensorField>("CT");
+    const volScalarField& Nv = mesh.lookupObject<volScalarField>("Nv");
+    const volSymmTensorField& nsv =
+        mesh.lookupObject<volSymmTensorField>("nsv");
+
+    tmp<volScalarField> tN
+    (
+        new volScalarField
+        (
+            IOobject
+            (
+                "tN",
+                mesh.time().timeName(),
+                mesh,
+                IOobject::NO_READ,
+                IOobject::NO_WRITE,
+                false
+            ),
+            mesh,
+            dimensionedScalar("zero", Nv.dimensions(), 0.0),
+            zeroGradientFvPatchVectorField::typeName
+        )
+    );
+
+    volScalarField& N = tN();
+
+    N.internalField() = Nv.internalField()*pow(mesh.V(), 2.0/3.0);
+
+    tmp<volSymmTensorField> tns
+    (
+        new volSymmTensorField
+        (
+            IOobject
+            (
+                "tns",
+                mesh.time().timeName(),
+                mesh,
+                IOobject::NO_READ,
+                IOobject::NO_WRITE
+            ),
+            mesh,
+            dimensionedSymmTensor
+            (
+                "zero",
+                nsv.dimensions(),
+                pTraits<symmTensor>::zero
+            )
+        )
+    );
+
+    volSymmTensorField& ns = tns();
+
+    ns.internalField() = nsv.internalField()*pow(mesh.V(), 2.0/3.0);
+
+    const volVectorField Uhat
+    (
+        U/(mag(U) + dimensionedScalar("Usmall", U.dimensions(), 1e-4))
+    );
+
+    const volScalarField nr(sqrt(max(N - (Uhat & ns & Uhat), scalar(1e-4))));
+
+    const scalarField cellWidth(pow(mesh.V(), 1.0/3.0));
+
+    const scalarField upLocal(uPrimeCoef*sqrt((U & CT & U)*cellWidth));
+
+    const scalarField deltaUp(upLocal*(max(scalar(1.0), pow(nr, 0.5)) - 1.0));
+
+    //Re use tN
+    N.internalField() = upLocal*(max(scalar(1.0), pow(nr, 0.5)) - 1.0);
+
+    return tN;
+
+}
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/XiEqModels/XiEqModel/XiEqModel.H

@@ -0,0 +1,179 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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::XiEqModel
+
+Description
+    Base-class for all XiEq models used by the b-XiEq combustion model.
+    The available models are :
+                                \link basicXiSubXiEq.H \endlink
+                                \link Gulder.H \endlink
+                                \link instabilityXiEq.H \endlink
+                                \link SCOPEBlendXiEq.H \endlink
+                                \link SCOPEXiEq.H \endlink
+
+SourceFiles
+    XiEqModel.C
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef XiEqModel_H
+#define XiEqModel_H
+
+#include "IOdictionary.H"
+#include "psiuReactionThermo.H"
+#include "RASModel.H"
+#include "runTimeSelectionTables.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+
+/*---------------------------------------------------------------------------*\
+                          Class XiEqModel Declaration
+\*---------------------------------------------------------------------------*/
+
+class XiEqModel
+{
+
+protected:
+
+    // Protected data
+
+        //- Dictionary
+        dictionary XiEqModelCoeffs_;
+
+        //- Thermo
+        const psiuReactionThermo& thermo_;
+
+        //- Turbulence
+        const compressible::RASModel& turbulence_;
+
+        //- Laminar burning velocity
+        const volScalarField& Su_;
+
+        //- Volumetric obstacles number
+        volScalarField Nv_;
+
+        //
+        volSymmTensorField nsv_;
+
+
+private:
+
+    // Private Member Functions
+
+        //- Disallow copy construct
+        XiEqModel(const XiEqModel&);
+
+        //- Disallow default bitwise assignment
+        void operator=(const XiEqModel&);
+
+
+public:
+
+    //- Runtime type information
+    TypeName("XiEqModel");
+
+
+    // Declare run-time constructor selection table
+
+        declareRunTimeSelectionTable
+        (
+            autoPtr,
+            XiEqModel,
+            dictionary,
+            (
+                const dictionary& XiEqProperties,
+                const psiuReactionThermo& thermo,
+                const compressible::RASModel& turbulence,
+                const volScalarField& Su
+            ),
+            (
+                XiEqProperties,
+                thermo,
+                turbulence,
+                Su
+            )
+        );
+
+
+    // Selectors
+
+        //- Return a reference to the selected XiEq model
+        static autoPtr<XiEqModel> New
+        (
+            const dictionary& XiEqProperties,
+            const psiuReactionThermo& thermo,
+            const compressible::RASModel& turbulence,
+            const volScalarField& Su
+        );
+
+
+    // Constructors
+
+        //- Construct from components
+        XiEqModel
+        (
+            const dictionary& XiEqProperties,
+            const psiuReactionThermo& thermo,
+            const compressible::RASModel& turbulence,
+            const volScalarField& Su
+        );
+
+
+    //- Destructor
+    virtual ~XiEqModel();
+
+
+    // Member Functions
+
+        //- Return the flame-wrinking XiEq
+        virtual tmp<volScalarField> XiEq() const
+        {
+            return turbulence_.muEff();
+        }
+
+
+        //- Return the sub-grid Schelkin effect
+        tmp<volScalarField> calculateSchelkinEffect(const scalar) const;
+
+        //- Update properties from given dictionary
+        virtual bool read(const dictionary& XiEqProperties) = 0;
+
+        //- Write fields
+        void writeFields() const;
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/XiEqModels/XiEqModel/XiEqModelNew.C

@@ -0,0 +1,66 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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 "XiEqModel.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+Foam::autoPtr<Foam::XiEqModel> Foam::XiEqModel::New
+(
+    const dictionary& propDict,
+    const psiuReactionThermo& thermo,
+    const compressible::RASModel& turbulence,
+    const volScalarField& Su
+)
+{
+    const word modelType(propDict.lookup("XiEqModel"));
+
+    Info<< "Selecting flame-wrinkling model " << modelType << endl;
+
+    dictionaryConstructorTable::iterator cstrIter =
+        dictionaryConstructorTablePtr_->find(modelType);
+
+    if (cstrIter == dictionaryConstructorTablePtr_->end())
+    {
+        FatalErrorIn
+        (
+            "XiEqModel::New"
+            "("
+            "    const psiuReactionThermo& thermo,"
+            "    const compressible::RASModel& turbulence,"
+            "    const volScalarField& Su"
+            ")"
+        )   << "Unknown XiEqModel type "
+            << modelType << nl << nl
+            << "Valid XiEqModels are : " << endl
+            << dictionaryConstructorTablePtr_->sortedToc()
+            << exit(FatalError);
+    }
+
+    return autoPtr<XiEqModel>(cstrIter()(propDict, thermo, turbulence, Su));
+}
+
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/XiEqModels/instabilityXiEq/instabilityXiEq.C

@@ -0,0 +1,82 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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 "instabilityXiEq.H"
+#include "addToRunTimeSelectionTable.H"
+
+// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace XiEqModels
+{
+    defineTypeNameAndDebug(instability, 0);
+    addToRunTimeSelectionTable(XiEqModel, instability, dictionary);
+}
+}
+
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+Foam::XiEqModels::instability::instability
+(
+    const dictionary& XiEqProperties,
+    const psiuReactionThermo& thermo,
+    const compressible::RASModel& turbulence,
+    const volScalarField& Su
+)
+:
+    XiEqModel(XiEqProperties, thermo, turbulence, Su),
+    XiEqIn(readScalar(XiEqModelCoeffs_.lookup("XiEqIn"))),
+    XiEqModel_(XiEqModel::New(XiEqModelCoeffs_, thermo, turbulence, Su))
+{}
+
+
+// * * * * * * * * * * * * * * * * Destructors * * * * * * * * * * * * * * * //
+
+Foam::XiEqModels::instability::~instability()
+{}
+
+
+// * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * * //
+
+Foam::tmp<Foam::volScalarField> Foam::XiEqModels::instability::XiEq() const
+{
+    volScalarField turbXiEq(XiEqModel_->XiEq());
+    return XiEqIn/turbXiEq + turbXiEq;
+}
+
+
+bool Foam::XiEqModels::instability::read(const dictionary& XiEqProperties)
+{
+    XiEqModel::read(XiEqProperties);
+
+    XiEqModelCoeffs_.lookup("XiEqIn") >> XiEqIn;
+
+    return XiEqModel_->read(XiEqModelCoeffs_);
+}
+
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/XiEqModels/instabilityXiEq/instabilityXiEq.H

@@ -0,0 +1,117 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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::XiEqModels::instability
+
+Description
+    This is the equilibrium level of the flame wrinkling generated by
+    instability. It is a constant (default 2.5). It is used in
+    @link XiModel.H @endlink.
+
+SourceFiles
+    instability.C
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef instability_H
+#define instability_H
+
+#include "XiEqModel.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace XiEqModels
+{
+
+/*---------------------------------------------------------------------------*\
+                          Class instability Declaration
+\*---------------------------------------------------------------------------*/
+
+class instability
+:
+    public XiEqModel
+{
+    // Private data
+
+        //- Equilibrium Xi due to instability only
+        scalar XiEqIn;
+
+        //- Equilibrium Xi model due to all other effects
+        autoPtr<XiEqModel> XiEqModel_;
+
+
+    // Private Member Functions
+
+        //- Disallow copy construct
+        instability(const instability&);
+
+        //- Disallow default bitwise assignment
+        void operator=(const instability&);
+
+
+public:
+
+    //- Runtime type information
+    TypeName("instability");
+
+
+    // Constructors
+
+        //- Construct from components
+        instability
+        (
+            const dictionary& XiEqProperties,
+            const psiuReactionThermo& thermo,
+            const compressible::RASModel& turbulence,
+            const volScalarField& Su
+        );
+
+
+    //- Destructor
+    virtual ~instability();
+
+
+    // Member Functions
+
+        //- Return the flame-wrinking XiEq
+        virtual tmp<volScalarField> XiEq() const;
+
+        //- Update properties from given dictionary
+        virtual bool read(const dictionary& XiEqProperties);
+
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace XiEqModels
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/XiGModels/KTS/KTS.C

@@ -0,0 +1,85 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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 "KTS.H"
+#include "addToRunTimeSelectionTable.H"
+
+// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace XiGModels
+{
+    defineTypeNameAndDebug(KTS, 0);
+    addToRunTimeSelectionTable(XiGModel, KTS, dictionary);
+}
+}
+
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+Foam::XiGModels::KTS::KTS
+(
+    const dictionary& XiGProperties,
+    const psiuReactionThermo& thermo,
+    const compressible::RASModel& turbulence,
+    const volScalarField& Su
+)
+:
+    XiGModel(XiGProperties, thermo, turbulence, Su),
+    GEtaCoef_(readScalar(XiGModelCoeffs_.lookup("GEtaCoef")))
+{}
+
+
+// * * * * * * * * * * * * * * * * Destructors * * * * * * * * * * * * * * * //
+
+Foam::XiGModels::KTS::~KTS()
+{}
+
+
+// * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * * //
+
+Foam::tmp<Foam::volScalarField> Foam::XiGModels::KTS::G() const
+{
+    volScalarField up(sqrt((2.0/3.0)*turbulence_.k()));
+    const volScalarField& epsilon = turbulence_.epsilon();
+
+    volScalarField tauEta(sqrt(mag(thermo_.muu()/(thermo_.rhou()*epsilon))));
+
+    return (GEtaCoef_/tauEta);
+}
+
+
+bool Foam::XiGModels::KTS::read(const dictionary& XiGProperties)
+{
+    XiGModel::read(XiGProperties);
+
+    XiGModelCoeffs_.lookup("GEtaCoef") >> GEtaCoef_;
+
+    return true;
+}
+
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/XiGModels/KTS/KTS.H

@@ -0,0 +1,111 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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::XiGModels::KTS
+
+Description
+    Simple Kolmogorov time-scale (KTS) model for the flame-wrinling generation
+    rate.
+
+SourceFiles
+    KTS.C
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef KTS_H
+#define KTS_H
+
+#include "XiGModel.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace XiGModels
+{
+
+/*---------------------------------------------------------------------------*\
+                          Class KTS Declaration
+\*---------------------------------------------------------------------------*/
+
+class KTS
+:
+    public XiGModel
+{
+    // Private data
+
+        scalar GEtaCoef_;
+
+
+    // Private Member Functions
+
+        //- Disallow copy construct
+        KTS(const KTS&);
+
+        //- Disallow default bitwise assignment
+        void operator=(const KTS&);
+
+
+public:
+
+    //- Runtime type information
+    TypeName("KTS");
+
+
+    // Constructors
+
+        //- Construct from components
+        KTS
+        (
+            const dictionary& XiGProperties,
+            const psiuReactionThermo& thermo,
+            const compressible::RASModel& turbulence,
+            const volScalarField& Su
+        );
+
+
+    //- Destructor
+    virtual ~KTS();
+
+
+    // Member Functions
+
+        //- Return the flame-wrinking generation rate
+        virtual tmp<volScalarField> G() const;
+
+        //- Update properties from given dictionary
+        virtual bool read(const dictionary& XiGProperties);
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace XiGModels
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/XiGModels/XiGModel/XiGModel.C

@@ -0,0 +1,76 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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 "XiGModel.H"
+
+// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
+
+namespace Foam
+{
+    defineTypeNameAndDebug(XiGModel, 0);
+    defineRunTimeSelectionTable(XiGModel, dictionary);
+}
+
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+Foam::XiGModel::XiGModel
+(
+    const dictionary& XiGProperties,
+    const psiuReactionThermo& thermo,
+    const compressible::RASModel& turbulence,
+    const volScalarField& Su
+)
+:
+    XiGModelCoeffs_
+    (
+        XiGProperties.subDict
+        (
+            word(XiGProperties.lookup("XiGModel")) + "Coeffs"
+        )
+    ),
+    thermo_(thermo),
+    turbulence_(turbulence),
+    Su_(Su)
+{}
+
+
+// * * * * * * * * * * * * * * * * Destructors * * * * * * * * * * * * * * * //
+
+Foam::XiGModel::~XiGModel()
+{}
+
+
+// * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * * //
+
+bool Foam::XiGModel::read(const dictionary& XiGProperties)
+{
+    XiGModelCoeffs_ = XiGProperties.subDict(type() + "Coeffs");
+
+    return true;
+}
+
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/XiGModels/XiGModel/XiGModel.H

@@ -0,0 +1,160 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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::XiGModel
+
+Description
+    Base-class for all Xi generation models used by the b-Xi combustion model.
+    See Technical Report SH/RE/01R for details on the PDR modelling. For details
+    on the use of XiGModel see \link XiModel.H \endlink. The model available is
+    \link instabilityG.H \endlink
+
+SourceFiles
+    XiGModel.C
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef XiGModel_H
+#define XiGModel_H
+
+#include "IOdictionary.H"
+#include "psiuReactionThermo.H"
+#include "RASModel.H"
+#include "runTimeSelectionTables.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+
+/*---------------------------------------------------------------------------*\
+                          Class XiGModel Declaration
+\*---------------------------------------------------------------------------*/
+
+class XiGModel
+{
+
+protected:
+
+    // Protected data
+
+        dictionary XiGModelCoeffs_;
+
+        const psiuReactionThermo& thermo_;
+        const compressible::RASModel& turbulence_;
+        const volScalarField& Su_;
+
+
+private:
+
+    // Private Member Functions
+
+        //- Disallow copy construct
+        XiGModel(const XiGModel&);
+
+        //- Disallow default bitwise assignment
+        void operator=(const XiGModel&);
+
+
+public:
+
+    //- Runtime type information
+    TypeName("XiGModel");
+
+
+    // Declare run-time constructor selection table
+
+        declareRunTimeSelectionTable
+        (
+            autoPtr,
+            XiGModel,
+            dictionary,
+            (
+                const dictionary& XiGProperties,
+                const psiuReactionThermo& thermo,
+                const compressible::RASModel& turbulence,
+                const volScalarField& Su
+            ),
+            (
+                XiGProperties,
+                thermo,
+                turbulence,
+                Su
+            )
+        );
+
+
+    // Selectors
+
+        //- Return a reference to the selected XiG model
+        static autoPtr<XiGModel> New
+        (
+            const dictionary& XiGProperties,
+            const psiuReactionThermo& thermo,
+            const compressible::RASModel& turbulence,
+            const volScalarField& Su
+        );
+
+
+    // Constructors
+
+        //- Construct from components
+        XiGModel
+        (
+            const dictionary& XiGProperties,
+            const psiuReactionThermo& thermo,
+            const compressible::RASModel& turbulence,
+            const volScalarField& Su
+        );
+
+
+    //- Destructor
+    virtual ~XiGModel();
+
+
+    // Member Functions
+
+        //- Return the flame-wrinking genration rate
+        virtual tmp<volScalarField> G() const = 0;
+
+        //- Return the flame diffusivity
+        virtual tmp<volScalarField> Db() const
+        {
+            return turbulence_.muEff();
+        }
+
+        //- Update properties from given dictionary
+        virtual bool read(const dictionary& XiGProperties) = 0;
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/XiGModels/XiGModel/XiGModelNew.C

@@ -0,0 +1,66 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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 "XiGModel.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+Foam::autoPtr<Foam::XiGModel> Foam::XiGModel::New
+(
+    const dictionary& propDict,
+    const psiuReactionThermo& thermo,
+    const compressible::RASModel& turbulence,
+    const volScalarField& Su
+)
+{
+    const word modelType(propDict.lookup("XiGModel"));
+
+    Info<< "Selecting flame-wrinkling model " << modelType << endl;
+
+    dictionaryConstructorTable::iterator cstrIter =
+        dictionaryConstructorTablePtr_->find(modelType);
+
+    if (cstrIter == dictionaryConstructorTablePtr_->end())
+    {
+        FatalErrorIn
+        (
+            "XiGModel::New"
+            "("
+            "    const psiuReactionThermo& thermo,"
+            "    const compressible::RASModel& turbulence,"
+            "    const volScalarField& Su"
+            ")"
+        )   << "Unknown XiGModel type "
+            << modelType << nl << nl
+            << "Valid XiGModels are : " << endl
+            << dictionaryConstructorTablePtr_->sortedToc()
+            << exit(FatalError);
+    }
+
+    return autoPtr<XiGModel>(cstrIter()(propDict, thermo, turbulence, Su));
+}
+
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/XiGModels/instabilityG/instabilityG.C

@@ -0,0 +1,96 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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 "instabilityG.H"
+#include "addToRunTimeSelectionTable.H"
+
+// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace XiGModels
+{
+    defineTypeNameAndDebug(instabilityG, 0);
+    addToRunTimeSelectionTable(XiGModel, instabilityG, dictionary);
+}
+}
+
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+Foam::XiGModels::instabilityG::instabilityG
+(
+    const dictionary& XiGProperties,
+    const psiuReactionThermo& thermo,
+    const compressible::RASModel& turbulence,
+    const volScalarField& Su
+)
+:
+    XiGModel(XiGProperties, thermo, turbulence, Su),
+    GIn_(XiGModelCoeffs_.lookup("GIn")),
+    lambdaIn_(XiGModelCoeffs_.lookup("lambdaIn")),
+    XiGModel_(XiGModel::New(XiGModelCoeffs_, thermo, turbulence, Su))
+{}
+
+
+// * * * * * * * * * * * * * * * * Destructors * * * * * * * * * * * * * * * //
+
+Foam::XiGModels::instabilityG::~instabilityG()
+{}
+
+
+// * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * * //
+
+Foam::tmp<Foam::volScalarField> Foam::XiGModels::instabilityG::G() const
+{
+    volScalarField turbXiG(XiGModel_->G());
+    return (GIn_*GIn_/(GIn_ + turbXiG) + turbXiG);
+}
+
+
+Foam::tmp<Foam::volScalarField> Foam::XiGModels::instabilityG::Db() const
+{
+    const objectRegistry& db = Su_.db();
+    const volScalarField& Xi = db.lookupObject<volScalarField>("Xi");
+    const volScalarField& rho = db.lookupObject<volScalarField>("rho");
+    const volScalarField& mgb = db.lookupObject<volScalarField>("mgb");
+
+    return XiGModel_->Db()
+        + rho*Su_*(Xi - 1.0)*mgb*(0.5*lambdaIn_)/(mgb + 1.0/lambdaIn_);
+}
+
+
+bool Foam::XiGModels::instabilityG::read(const dictionary& XiGProperties)
+{
+    XiGModel::read(XiGProperties);
+
+    XiGModelCoeffs_.lookup("GIn") >> GIn_;
+    XiGModelCoeffs_.lookup("lambdaIn") >> lambdaIn_;
+
+    return true;
+}
+
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/XiGModels/instabilityG/instabilityG.H

@@ -0,0 +1,123 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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::XiGModels::instabilityG
+
+Description
+    Flame-surface instabilityG flame-wrinking generation rate coefficient model
+    used in \link XiModel.H \endlink.
+
+    See Technical Report SH/RE/01R for details on the PDR modelling.
+
+SourceFiles
+    instabilityG.C
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef instabilityG_H
+#define instabilityG_H
+
+#include "XiGModel.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace XiGModels
+{
+
+/*---------------------------------------------------------------------------*\
+                          Class instabilityG Declaration
+\*---------------------------------------------------------------------------*/
+
+class instabilityG
+:
+    public XiGModel
+{
+    // Private data
+
+        //- Flame instabilityG wrinling generation rate coefficient
+        dimensionedScalar GIn_;
+
+        //- InstabilityG length-scale
+        dimensionedScalar lambdaIn_;
+
+        //- Xi generation rate model due to all other processes
+        autoPtr<XiGModel> XiGModel_;
+
+
+    // Private Member Functions
+
+        //- Disallow copy construct
+        instabilityG(const instabilityG&);
+
+        //- Disallow default bitwise assignment
+        void operator=(const instabilityG&);
+
+
+public:
+
+    //- Runtime type information
+    TypeName("instabilityG");
+
+
+    // Constructors
+
+        //- Construct from components
+        instabilityG
+        (
+            const dictionary& XiGProperties,
+            const psiuReactionThermo& thermo,
+            const compressible::RASModel& turbulence,
+            const volScalarField& Su
+        );
+
+
+    //- Destructor
+    virtual ~instabilityG();
+
+
+    // Member Functions
+
+        //- Return the flame-wrinking generation rate
+        virtual tmp<volScalarField> G() const;
+
+        //- Return the flame diffusivity
+        virtual tmp<volScalarField> Db() const;
+
+        //- Update properties from given dictionary
+        virtual bool read(const dictionary& XiGProperties);
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace XiGModels
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/XiModel/XiModel.C

@@ -0,0 +1,94 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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 "XiModel.H"
+
+// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
+
+namespace Foam
+{
+    defineTypeNameAndDebug(XiModel, 0);
+    defineRunTimeSelectionTable(XiModel, dictionary);
+}
+
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+Foam::XiModel::XiModel
+(
+    const dictionary& XiProperties,
+    const psiuReactionThermo& thermo,
+    const compressible::RASModel& turbulence,
+    const volScalarField& Su,
+    const volScalarField& rho,
+    const volScalarField& b,
+    const surfaceScalarField& phi
+)
+:
+    XiModelCoeffs_
+    (
+        XiProperties.subDict
+        (
+            word(XiProperties.lookup("XiModel")) + "Coeffs"
+        )
+    ),
+    thermo_(thermo),
+    turbulence_(turbulence),
+    Su_(Su),
+    rho_(rho),
+    b_(b),
+    phi_(phi),
+    Xi_
+    (
+        IOobject
+        (
+            "Xi",
+            b.time().timeName(),
+            b.db(),
+            IOobject::MUST_READ,
+            IOobject::AUTO_WRITE
+        ),
+        b.mesh()
+    )
+{}
+
+
+// * * * * * * * * * * * * * * * * Destructors * * * * * * * * * * * * * * * //
+
+Foam::XiModel::~XiModel()
+{}
+
+
+// * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * * //
+
+bool Foam::XiModel::read(const dictionary& XiProperties)
+{
+    XiModelCoeffs_ = XiProperties.subDict(type() + "Coeffs");
+
+    return true;
+}
+
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/XiModel/XiModel.H

@@ -0,0 +1,254 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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::XiModel
+
+Description
+    Base-class for all Xi models used by the b-Xi combustion model.
+    See Technical Report SH/RE/01R for details on the PDR modelling.
+
+    Xi is given through an algebraic expression (\link algebraic.H \endlink),
+    by solving a transport equation (\link transport.H \endlink) or a
+    fixed value (\link fixed.H \endlink).
+
+    See report TR/HGW/10 for details on the Weller two equations model.
+
+    In the algebraic and transport methods \f$\Xi_{eq}\f$ is calculated in
+    similar way. In the algebraic approach, \f$\Xi_{eq}\f$ is the value used in
+    the \f$ b \f$ transport equation.
+
+    \f$\Xi_{eq}\f$ is calculated as follows:
+
+    \f$\Xi_{eq} = 1 + (1 + 2\Xi_{coeff}(0.5 - \dwea{b}))(\Xi^* - 1)\f$
+
+    where:
+
+        \f$ \dwea{b} \f$ is the regress variable.
+
+        \f$ \Xi_{coeff} \f$ is a model constant.
+
+        \f$ \Xi^* \f$ is the total equilibrium wrinkling combining the effects
+        of the flame inestability and turbulence interaction and is given by
+
+        \f[
+            \Xi^* = \frac {R}{R - G_\eta - G_{in}}
+        \f]
+
+    where:
+
+        \f$ G_\eta \f$ is the generation rate of wrinkling due to turbulence
+        interaction.
+
+        \f$ G_{in} = \kappa \rho_{u}/\rho_{b} \f$ is the generation
+         rate due to the flame inestability.
+
+    By adding the removal rates of the two effects:
+
+        \f[
+            R = G_\eta \frac{\Xi_{\eta_{eq}}}{\Xi_{\eta_{eq}} - 1}
+              + G_{in} \frac{\Xi_{{in}_{eq}}}{\Xi_{{in}_{eq}} - 1}
+        \f]
+
+    where:
+
+        \f$ R \f$ is the total removal.
+
+        \f$ G_\eta \f$ is a model constant.
+
+        \f$ \Xi_{\eta_{eq}} \f$ is the flame wrinkling due to turbulence.
+
+        \f$ \Xi_{{in}_{eq}} \f$ is the equilibrium level of the flame wrinkling
+        generated by inestability. It is a constant (default 2.5).
+
+
+SourceFiles
+    XiModel.C
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef XiModel_H
+#define XiModel_H
+
+#include "IOdictionary.H"
+#include "psiuReactionThermo.H"
+#include "RASModel.H"
+#include "multivariateSurfaceInterpolationScheme.H"
+#include "runTimeSelectionTables.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+
+/*---------------------------------------------------------------------------*\
+                          Class XiModel Declaration
+\*---------------------------------------------------------------------------*/
+
+class XiModel
+{
+
+protected:
+
+    // Protected data
+
+        dictionary XiModelCoeffs_;
+
+        const psiuReactionThermo& thermo_;
+        const compressible::RASModel& turbulence_;
+        const volScalarField& Su_;
+        const volScalarField& rho_;
+        const volScalarField& b_;
+        const surfaceScalarField& phi_;
+
+        //- Flame wrinking field
+        volScalarField Xi_;
+
+
+private:
+
+    // Private Member Functions
+
+        //- Disallow copy construct
+        XiModel(const XiModel&);
+
+        //- Disallow default bitwise assignment
+        void operator=(const XiModel&);
+
+
+public:
+
+    //- Runtime type information
+    TypeName("XiModel");
+
+
+    // Declare run-time constructor selection table
+
+        declareRunTimeSelectionTable
+        (
+            autoPtr,
+            XiModel,
+            dictionary,
+            (
+                const dictionary& XiProperties,
+                const psiuReactionThermo& thermo,
+                const compressible::RASModel& turbulence,
+                const volScalarField& Su,
+                const volScalarField& rho,
+                const volScalarField& b,
+                const surfaceScalarField& phi
+            ),
+            (
+                XiProperties,
+                thermo,
+                turbulence,
+                Su,
+                rho,
+                b,
+                phi
+            )
+        );
+
+
+    // Selectors
+
+        //- Return a reference to the selected Xi model
+        static autoPtr<XiModel> New
+        (
+            const dictionary& XiProperties,
+            const psiuReactionThermo& thermo,
+            const compressible::RASModel& turbulence,
+            const volScalarField& Su,
+            const volScalarField& rho,
+            const volScalarField& b,
+            const surfaceScalarField& phi
+        );
+
+
+    // Constructors
+
+        //- Construct from components
+        XiModel
+        (
+            const dictionary& XiProperties,
+            const psiuReactionThermo& thermo,
+            const compressible::RASModel& turbulence,
+            const volScalarField& Su,
+            const volScalarField& rho,
+            const volScalarField& b,
+            const surfaceScalarField& phi
+        );
+
+
+    //- Destructor
+    virtual ~XiModel();
+
+
+    // Member Functions
+
+        //- Return the flame-wrinking Xi
+        virtual const volScalarField& Xi() const
+        {
+            return Xi_;
+        }
+
+        //- Return the flame diffusivity
+        virtual tmp<volScalarField> Db() const
+        {
+            return turbulence_.muEff();
+        }
+
+        //- Add Xi to the multivariateSurfaceInterpolationScheme table
+        //  if required
+        virtual void addXi
+        (
+            multivariateSurfaceInterpolationScheme<scalar>::fieldTable&
+        )
+        {}
+
+        //- Correct the flame-wrinking Xi
+        virtual void correct() = 0;
+
+        //- Correct the flame-wrinking Xi using the given convection scheme
+        virtual void correct(const fv::convectionScheme<scalar>&)
+        {
+            correct();
+        }
+
+        //- Update properties from given dictionary
+        virtual bool read(const dictionary& XiProperties) = 0;
+
+        //- Write fields related to Xi model
+        virtual void writeFields() = 0;
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/XiModel/XiModelNew.C

@@ -0,0 +1,65 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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 "XiModel.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+Foam::autoPtr<Foam::XiModel> Foam::XiModel::New
+(
+    const dictionary& propDict,
+    const psiuReactionThermo& thermo,
+    const compressible::RASModel& turbulence,
+    const volScalarField& Su,
+    const volScalarField& rho,
+    const volScalarField& b,
+    const surfaceScalarField& phi
+)
+{
+    const word modelType(propDict.lookup("XiModel"));
+
+    Info<< "Selecting flame-wrinkling model " << modelType << endl;
+
+    dictionaryConstructorTable::iterator cstrIter =
+        dictionaryConstructorTablePtr_->find(modelType);
+
+    if (cstrIter == dictionaryConstructorTablePtr_->end())
+    {
+        FatalErrorIn
+        (
+            "XiModel::New"
+        )   << "Unknown XiModel type "
+            << modelType << nl << nl
+            << "Valid XiModels are : " << endl
+            << dictionaryConstructorTablePtr_->sortedToc()
+            << exit(FatalError);
+    }
+
+    return autoPtr<XiModel>
+        (cstrIter()(propDict, thermo, turbulence, Su, rho, b, phi));
+}
+
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/algebraic/algebraic.C

@@ -0,0 +1,98 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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 "algebraic.H"
+#include "addToRunTimeSelectionTable.H"
+
+// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace XiModels
+{
+    defineTypeNameAndDebug(algebraic, 0);
+    addToRunTimeSelectionTable(XiModel, algebraic, dictionary);
+}
+}
+
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+Foam::XiModels::algebraic::algebraic
+(
+    const dictionary& XiProperties,
+    const psiuReactionThermo& thermo,
+    const compressible::RASModel& turbulence,
+    const volScalarField& Su,
+    const volScalarField& rho,
+    const volScalarField& b,
+    const surfaceScalarField& phi
+)
+:
+    XiModel(XiProperties, thermo, turbulence, Su, rho, b, phi),
+    XiShapeCoef(readScalar(XiModelCoeffs_.lookup("XiShapeCoef"))),
+    XiEqModel_(XiEqModel::New(XiProperties, thermo, turbulence, Su)),
+    XiGModel_(XiGModel::New(XiProperties, thermo, turbulence, Su))
+{}
+
+
+// * * * * * * * * * * * * * * * * Destructors * * * * * * * * * * * * * * * //
+
+Foam::XiModels::algebraic::~algebraic()
+{}
+
+
+// * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * * //
+
+Foam::tmp<Foam::volScalarField> Foam::XiModels::algebraic::Db() const
+{
+    return XiGModel_->Db();
+}
+
+
+void Foam::XiModels::algebraic::correct()
+{
+    volScalarField XiEqEta(XiEqModel_->XiEq());
+    volScalarField GEta(XiGModel_->G());
+
+    volScalarField R(GEta*XiEqEta/(XiEqEta - 0.999));
+
+    volScalarField XiEqStar(R/(R - GEta));
+
+    Xi_ == 1.0 + (1.0 + (2*XiShapeCoef)*(0.5 - b_))*(XiEqStar - 1.0);
+}
+
+
+bool Foam::XiModels::algebraic::read(const dictionary& XiProperties)
+{
+    XiModel::read(XiProperties);
+
+    XiModelCoeffs_.lookup("XiShapeCoef") >> XiShapeCoef;
+
+    return true;
+}
+
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/algebraic/algebraic.H

@@ -0,0 +1,131 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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::XiModels::algebraic
+
+Description
+    Simple algebraic model for Xi based on Gulders correlation
+    with a linear correction function to give a plausible profile for Xi.
+    See report TR/HGW/10 for details on the Weller two equations model.
+    See \link XiModel.H \endlink for more details on flame wrinkling modelling.
+
+SourceFiles
+    algebraic.C
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef algebraic_H
+#define algebraic_H
+
+#include "XiModel.H"
+#include "XiEqModel.H"
+#include "XiGModel.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace XiModels
+{
+
+/*---------------------------------------------------------------------------*\
+                          Class algebraic Declaration
+\*---------------------------------------------------------------------------*/
+
+class algebraic
+:
+    public XiModel
+{
+    // Private data
+
+        scalar XiShapeCoef;
+
+        autoPtr<XiEqModel> XiEqModel_;
+        autoPtr<XiGModel> XiGModel_;
+
+
+    // Private Member Functions
+
+        //- Disallow copy construct
+        algebraic(const algebraic&);
+
+        //- Disallow default bitwise assignment
+        void operator=(const algebraic&);
+
+
+public:
+
+    //- Runtime type information
+    TypeName("algebraic");
+
+
+    // Constructors
+
+        //- Construct from components
+        algebraic
+        (
+            const dictionary& XiProperties,
+            const psiuReactionThermo& thermo,
+            const compressible::RASModel& turbulence,
+            const volScalarField& Su,
+            const volScalarField& rho,
+            const volScalarField& b,
+            const surfaceScalarField& phi
+        );
+
+
+    //- Destructor
+    virtual ~algebraic();
+
+
+    // Member Functions
+
+        //- Return the flame diffusivity
+        virtual tmp<volScalarField> Db() const;
+
+        //- Correct the flame-wrinking Xi
+        virtual void correct();
+
+        //- Update properties from given dictionary
+        virtual bool read(const dictionary& XiProperties);
+
+        //- Write fields of the XiEq model
+        virtual void writeFields()
+        {
+            XiEqModel_().writeFields();
+        }
+
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace XiModels
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/fixed/fixed.C

@@ -0,0 +1,72 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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 "fixed.H"
+#include "addToRunTimeSelectionTable.H"
+
+// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace XiModels
+{
+    defineTypeNameAndDebug(fixed, 0);
+    addToRunTimeSelectionTable(XiModel, fixed, dictionary);
+}
+}
+
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+Foam::XiModels::fixed::fixed
+(
+    const dictionary& XiProperties,
+    const psiuReactionThermo& thermo,
+    const compressible::RASModel& turbulence,
+    const volScalarField& Su,
+    const volScalarField& rho,
+    const volScalarField& b,
+    const surfaceScalarField& phi
+)
+:
+    XiModel(XiProperties, thermo, turbulence, Su, rho, b, phi)
+{}
+
+
+// * * * * * * * * * * * * * * * * Destructors * * * * * * * * * * * * * * * //
+
+Foam::XiModels::fixed::~fixed()
+{}
+
+
+// * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * * //
+
+bool Foam::XiModels::fixed::read(const dictionary& XiProperties)
+{
+    return XiModel::read(XiProperties);
+}
+
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/fixed/fixed.H

@@ -0,0 +1,115 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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::XiModels::fixed
+
+Description
+    Fixed value model for Xi. See \link XiModel.H \endlink for more details
+    on flame wrinkling modelling.
+
+SourceFiles
+    fixed.C
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef fixed_H
+#define fixed_H
+
+#include "XiModel.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace XiModels
+{
+
+/*---------------------------------------------------------------------------*\
+                          Class fixed Declaration
+\*---------------------------------------------------------------------------*/
+
+class fixed
+:
+    public XiModel
+{
+    // Private Member Functions
+
+        //- Disallow copy construct
+        fixed(const fixed&);
+
+        //- Disallow default bitwise assignment
+        void operator=(const fixed&);
+
+
+public:
+
+    //- Runtime type information
+    TypeName("fixed");
+
+
+    // Constructors
+
+        //- Construct from components
+        fixed
+        (
+            const dictionary& XiProperties,
+            const psiuReactionThermo& thermo,
+            const compressible::RASModel& turbulence,
+            const volScalarField& Su,
+            const volScalarField& rho,
+            const volScalarField& b,
+            const surfaceScalarField& phi
+        );
+
+
+    //- Destructor
+    virtual ~fixed();
+
+
+    // Member Functions
+
+        //- Correct the flame-wrinking Xi
+        virtual void correct()
+        {}
+
+        //- Update properties from given dictionary
+        virtual bool read(const dictionary& XiProperties);
+
+        //- Write fields of the XiEq model
+        virtual void writeFields()
+        {}
+
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace XiModels
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/transport/transport.C

@@ -0,0 +1,140 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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 "transport.H"
+#include "addToRunTimeSelectionTable.H"
+
+// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace XiModels
+{
+    defineTypeNameAndDebug(transport, 0);
+    addToRunTimeSelectionTable(XiModel, transport, dictionary);
+}
+}
+
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+Foam::XiModels::transport::transport
+(
+    const dictionary& XiProperties,
+    const psiuReactionThermo& thermo,
+    const compressible::RASModel& turbulence,
+    const volScalarField& Su,
+    const volScalarField& rho,
+    const volScalarField& b,
+    const surfaceScalarField& phi
+)
+:
+    XiModel(XiProperties, thermo, turbulence, Su, rho, b, phi),
+    XiShapeCoef(readScalar(XiModelCoeffs_.lookup("XiShapeCoef"))),
+    XiEqModel_(XiEqModel::New(XiProperties, thermo, turbulence, Su)),
+    XiGModel_(XiGModel::New(XiProperties, thermo, turbulence, Su))
+{}
+
+
+// * * * * * * * * * * * * * * * * Destructors * * * * * * * * * * * * * * * //
+
+Foam::XiModels::transport::~transport()
+{}
+
+
+// * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * * //
+
+Foam::tmp<Foam::volScalarField> Foam::XiModels::transport::Db() const
+{
+    return XiGModel_->Db();
+}
+
+
+void Foam::XiModels::transport::correct
+(
+    const fv::convectionScheme<scalar>& mvConvection
+)
+{
+    volScalarField XiEqEta(XiEqModel_->XiEq());
+    volScalarField GEta(XiGModel_->G());
+
+    volScalarField R(GEta*XiEqEta/(XiEqEta - 0.999));
+
+    volScalarField XiEqStar(R/(R - GEta));
+
+    volScalarField XiEq
+    (
+        1.0 + (1.0 + (2*XiShapeCoef)*(0.5 - b_))*(XiEqStar - 1.0)
+    );
+
+    volScalarField G(R*(XiEq - 1.0)/XiEq);
+
+    const objectRegistry& db = b_.db();
+    const volScalarField& betav = db.lookupObject<volScalarField>("betav");
+    const volScalarField& mgb = db.lookupObject<volScalarField>("mgb");
+    const surfaceScalarField& phiSt =
+        db.lookupObject<surfaceScalarField>("phiSt");
+    const volScalarField& Db = db.lookupObject<volScalarField>("Db");
+    const surfaceScalarField& nf = db.lookupObject<surfaceScalarField>("nf");
+
+    surfaceScalarField phiXi
+    (
+        "phiXi",
+        phiSt
+      + (
+          - fvc::interpolate(fvc::laplacian(Db, b_)/mgb)*nf
+          + fvc::interpolate(rho_)*fvc::interpolate(Su_*(1.0/Xi_ - Xi_))*nf
+        )
+    );
+
+    solve
+    (
+        betav*fvm::ddt(rho_, Xi_)
+      + mvConvection.fvmDiv(phi_, Xi_)
+      + fvm::div(phiXi, Xi_)
+      - fvm::Sp(fvc::div(phiXi), Xi_)
+     ==
+        betav*rho_*R
+      - fvm::Sp(betav*rho_*(R - G), Xi_)
+    );
+
+    // Correct boundedness of Xi
+    // ~~~~~~~~~~~~~~~~~~~~~~~~~
+    Xi_.max(1.0);
+    Xi_ = min(Xi_, 2.0*XiEq);
+}
+
+
+bool Foam::XiModels::transport::read(const dictionary& XiProperties)
+{
+    XiModel::read(XiProperties);
+
+    XiModelCoeffs_.lookup("XiShapeCoef") >> XiShapeCoef;
+
+    return true;
+}
+
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/XiModels/transport/transport.H

@@ -0,0 +1,145 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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::XiModels::transport
+
+Description
+    Simple transport model for Xi based on Gulders correlation
+    with a linear correction function to give a plausible profile for Xi.
+    See report TR/HGW/10 for details on the Weller two equations model.
+    See \link XiModel.H \endlink for more details on flame wrinkling modelling.
+
+SourceFiles
+    transport.C
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef transport_H
+#define transport_H
+
+#include "XiModel.H"
+#include "XiEqModel.H"
+#include "XiGModel.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace XiModels
+{
+
+/*---------------------------------------------------------------------------*\
+                          Class transport Declaration
+\*---------------------------------------------------------------------------*/
+
+class transport
+:
+    public XiModel
+{
+    // Private data
+
+        scalar XiShapeCoef;
+
+        autoPtr<XiEqModel> XiEqModel_;
+        autoPtr<XiGModel> XiGModel_;
+
+
+    // Private Member Functions
+
+        //- Disallow copy construct
+        transport(const transport&);
+
+        //- Disallow default bitwise assignment
+        void operator=(const transport&);
+
+
+public:
+
+    //- Runtime type information
+    TypeName("transport");
+
+
+    // Constructors
+
+        //- Construct from components
+        transport
+        (
+            const dictionary& XiProperties,
+            const psiuReactionThermo& thermo,
+            const compressible::RASModel& turbulence,
+            const volScalarField& Su,
+            const volScalarField& rho,
+            const volScalarField& b,
+            const surfaceScalarField& phi
+        );
+
+
+    //- Destructor
+    virtual ~transport();
+
+
+    // Member Functions
+
+        //- Return the flame diffusivity
+        virtual tmp<volScalarField> Db() const;
+
+        //- Add Xi to the multivariateSurfaceInterpolationScheme table
+        virtual void addXi
+        (
+            multivariateSurfaceInterpolationScheme<scalar>::fieldTable& fields
+        )
+        {
+            fields.add(Xi_);
+        }
+
+        //- Correct the flame-wrinking Xi
+        virtual void correct()
+        {
+            notImplemented("transport::correct()");
+        }
+
+        //- Correct the flame-wrinking Xi using the given convection scheme
+        virtual void correct(const fv::convectionScheme<scalar>& mvConvection);
+
+        //- Update properties from given dictionary
+        virtual bool read(const dictionary& XiProperties);
+
+        //- Write fields of the XiEq model
+        virtual void writeFields()
+        {
+            XiEqModel_().writeFields();
+        }
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End namespace XiModels
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/bEqn.H

@@ -0,0 +1,108 @@
+tmp<fv::convectionScheme<scalar> > mvConvection
+(
+    fv::convectionScheme<scalar>::New
+    (
+        mesh,
+        fields,
+        phi,
+        mesh.divScheme("div(phi,ft_b_ha_hau)")
+    )
+);
+
+volScalarField Db("Db", turbulence->muEff());
+
+if (ign.ignited())
+{
+    // Calculate the unstrained laminar flame speed
+    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+    Su = unstrainedLaminarFlameSpeed()();
+
+    const volScalarField& Xi = flameWrinkling->Xi();
+
+    // progress variable
+    // ~~~~~~~~~~~~~~~~~
+    volScalarField c("c", 1.0 - b);
+
+    // Unburnt gas density
+    // ~~~~~~~~~~~~~~~~~~~
+    volScalarField rhou(thermo.rhou());
+
+    // Calculate flame normal etc.
+    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+    //volVectorField n(fvc::grad(b));
+    volVectorField n(fvc::reconstruct(fvc::snGrad(b)*mesh.magSf()));
+
+    volScalarField mgb("mgb", mag(n));
+
+    dimensionedScalar dMgb("dMgb", mgb.dimensions(), SMALL);
+
+    {
+        volScalarField bc(b*c);
+
+        dMgb += 1.0e-3*
+            (bc*mgb)().weightedAverage(mesh.V())
+           /(bc.weightedAverage(mesh.V()) + SMALL);
+    }
+
+    mgb += dMgb;
+
+    surfaceVectorField Sfhat(mesh.Sf()/mesh.magSf());
+    surfaceVectorField nfVec(fvc::interpolate(n));
+    nfVec += Sfhat*(fvc::snGrad(b) - (Sfhat & nfVec));
+    nfVec /= (mag(nfVec) + dMgb);
+    surfaceScalarField nf("nf", mesh.Sf() & nfVec);
+    n /= mgb;
+
+    #include "StCorr.H"
+
+    // Calculate turbulent flame speed flux
+    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+    surfaceScalarField phiSt("phiSt", fvc::interpolate(rhou*StCorr*St)*nf);
+
+    #include "StCourantNo.H"
+
+    Db = flameWrinkling->Db();
+
+    // Create b equation
+    // ~~~~~~~~~~~~~~~~~
+    fvScalarMatrix bEqn
+    (
+        betav*fvm::ddt(rho, b)
+      + mvConvection->fvmDiv(phi, b)
+      + fvm::div(phiSt, b)
+      - fvm::Sp(fvc::div(phiSt), b)
+      - fvm::laplacian(Db, b)
+    );
+
+
+    // Add ignition cell contribution to b-equation
+    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+    #include "ignite.H"
+
+    // Solve for b
+    // ~~~~~~~~~~~
+    bEqn.solve();
+
+    Info<< "min(b) = " << min(b).value() << endl;
+
+    if (composition.contains("ft"))
+    {
+        volScalarField& ft = composition.Y("ft");
+
+        Info<< "Combustion progress = "
+            << 100*(1.0 - b)().weightedAverage(mesh.V()*ft).value() << "%"
+            << endl;
+    }
+    else
+    {
+        Info<< "Combustion progress = "
+            << 100*(1.0 - b)().weightedAverage(mesh.V()).value() << "%"
+            << endl;
+    }
+
+    // Correct the flame-wrinkling
+    flameWrinkling->correct(mvConvection);
+
+    St = Xi*Su;
+}

applications/solvers/combustion/PDRFoam/createFields.H

@@ -0,0 +1,199 @@
+    Info<< "Reading thermophysical properties\n" << endl;
+
+    autoPtr<psiuReactionThermo> pThermo
+    (
+        psiuReactionThermo::New(mesh)
+    );
+    psiuReactionThermo& thermo = pThermo();
+    thermo.validate(args.executable(), "ha", "ea");
+
+    basicMultiComponentMixture& composition = thermo.composition();
+
+    volScalarField rho
+    (
+        IOobject
+        (
+            "rho",
+            runTime.timeName(),
+            mesh,
+            IOobject::NO_READ,
+            IOobject::AUTO_WRITE
+        ),
+        thermo.rho()
+    );
+
+    volScalarField& p = thermo.p();
+    const volScalarField& psi = thermo.psi();
+
+    volScalarField& b = composition.Y("b");
+    Info<< "min(b) = " << min(b).value() << endl;
+
+    Info<< "\nReading field U\n" << endl;
+    volVectorField U
+    (
+        IOobject
+        (
+            "U",
+            runTime.timeName(),
+            mesh,
+            IOobject::MUST_READ,
+            IOobject::AUTO_WRITE
+        ),
+        mesh
+    );
+
+    #include "compressibleCreatePhi.H"
+
+    Info<< "Creating turbulence model\n" << endl;
+    autoPtr<compressible::RASModel> turbulence
+    (
+        compressible::RASModel::New
+        (
+            rho,
+            U,
+            phi,
+            thermo
+        )
+    );
+
+
+    Info<< "Creating field dpdt\n" << endl;
+    volScalarField dpdt
+    (
+        IOobject
+        (
+            "dpdt",
+            runTime.timeName(),
+            mesh
+        ),
+        mesh,
+        dimensionedScalar("dpdt", p.dimensions()/dimTime, 0)
+    );
+
+    Info<< "Creating field kinetic energy K\n" << endl;
+    volScalarField K("K", 0.5*magSqr(U));
+
+
+    Info<< "Creating the unstrained laminar flame speed\n" << endl;
+    autoPtr<laminarFlameSpeed> unstrainedLaminarFlameSpeed
+    (
+        laminarFlameSpeed::New(thermo)
+    );
+
+
+    Info<< "Reading strained laminar flame speed field Su\n" << endl;
+    volScalarField Su
+    (
+        IOobject
+        (
+            "Su",
+            runTime.timeName(),
+            mesh,
+            IOobject::MUST_READ,
+            IOobject::AUTO_WRITE
+        ),
+        mesh
+    );
+
+    Info<< "Reading field betav\n" << endl;
+    volScalarField betav
+    (
+        IOobject
+        (
+            "betav",
+            mesh.facesInstance(),
+            mesh,
+            IOobject::MUST_READ,
+            IOobject::NO_WRITE
+        ),
+        mesh
+    );
+
+    Info<< "Reading field Lobs\n" << endl;
+    volScalarField Lobs
+    (
+        IOobject
+        (
+            "Lobs",
+            mesh.facesInstance(),
+            mesh,
+            IOobject::MUST_READ,
+            IOobject::NO_WRITE
+        ),
+        mesh
+    );
+
+    Info<< "Reading field CT\n" << endl;
+    volSymmTensorField CT
+    (
+        IOobject
+        (
+            "CT",
+            mesh.facesInstance(),
+            mesh,
+            IOobject::MUST_READ,
+            IOobject::NO_WRITE
+        ),
+        mesh
+    );
+
+    IOdictionary PDRProperties
+    (
+        IOobject
+        (
+            "PDRProperties",
+            runTime.constant(),
+            mesh,
+            IOobject::MUST_READ_IF_MODIFIED,
+            IOobject::NO_WRITE
+        )
+    );
+
+    //- Create the drag model
+    autoPtr<PDRDragModel> drag = PDRDragModel::New
+    (
+        PDRProperties,
+        turbulence,
+        rho,
+        U,
+        phi
+    );
+
+    //- Create the flame-wrinkling model
+    autoPtr<XiModel> flameWrinkling = XiModel::New
+    (
+        PDRProperties,
+        thermo,
+        turbulence,
+        Su,
+        rho,
+        b,
+        phi
+    );
+
+    Info<< "Calculating turbulent flame speed field St\n" << endl;
+    volScalarField St
+    (
+        IOobject
+        (
+            "St",
+            runTime.timeName(),
+            mesh,
+            IOobject::NO_READ,
+            IOobject::AUTO_WRITE
+        ),
+        flameWrinkling->Xi()*Su
+    );
+
+
+    multivariateSurfaceInterpolationScheme<scalar>::fieldTable fields;
+
+    if (composition.contains("ft"))
+    {
+        fields.add(composition.Y("ft"));
+    }
+
+    fields.add(b);
+    fields.add(thermo.he());
+    fields.add(thermo.heu());
+    flameWrinkling->addXi(fields);

applications/solvers/combustion/PDRFoam/ftEqn.H

@@ -0,0 +1,11 @@
+if (composition.contains("ft"))
+{
+    volScalarField& ft = composition.Y("ft");
+
+    solve
+    (
+        betav*fvm::ddt(rho, ft)
+      + mvConvection->fvmDiv(phi, ft)
+      - fvm::laplacian(Db, ft)
+    );
+}

applications/solvers/combustion/PDRFoam/laminarFlameSpeed/SCOPE/SCOPELaminarFlameSpeed.C

@@ -0,0 +1,451 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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 "IFstream.H"
+#include "SCOPELaminarFlameSpeed.H"
+#include "addToRunTimeSelectionTable.H"
+
+// * * * * * * * * * * * * * * Static Data Members * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace laminarFlameSpeedModels
+{
+    defineTypeNameAndDebug(SCOPE, 0);
+
+    addToRunTimeSelectionTable
+    (
+        laminarFlameSpeed,
+        SCOPE,
+        dictionary
+    );
+}
+}
+
+
+// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //
+
+Foam::laminarFlameSpeedModels::SCOPE::polynomial::polynomial
+(
+    const dictionary& polyDict
+)
+:
+    FixedList<scalar, 7>(polyDict.lookup("coefficients")),
+    ll(readScalar(polyDict.lookup("lowerLimit"))),
+    ul(readScalar(polyDict.lookup("upperLimit"))),
+    llv(polyPhi(ll, *this)),
+    ulv(polyPhi(ul, *this)),
+    lu(0)
+{}
+
+
+Foam::laminarFlameSpeedModels::SCOPE::SCOPE
+(
+    const dictionary& dict,
+    const psiuReactionThermo& ct
+)
+:
+    laminarFlameSpeed(dict, ct),
+
+    coeffsDict_
+    (
+        dictionary
+        (
+          IFstream
+          (
+              fileName
+              (
+                  dict.lookup("fuelFile")
+              )
+          )()
+        ).subDict(typeName + "Coeffs")
+    ),
+    LFL_(readScalar(coeffsDict_.lookup("lowerFlamabilityLimit"))),
+    UFL_(readScalar(coeffsDict_.lookup("upperFlamabilityLimit"))),
+    SuPolyL_(coeffsDict_.subDict("lowerSuPolynomial")),
+    SuPolyU_(coeffsDict_.subDict("upperSuPolynomial")),
+    Texp_(readScalar(coeffsDict_.lookup("Texp"))),
+    pexp_(readScalar(coeffsDict_.lookup("pexp"))),
+    MaPolyL_(coeffsDict_.subDict("lowerMaPolynomial")),
+    MaPolyU_(coeffsDict_.subDict("upperMaPolynomial"))
+{
+    SuPolyL_.ll = max(SuPolyL_.ll, LFL_) + SMALL;
+    SuPolyU_.ul = min(SuPolyU_.ul, UFL_) - SMALL;
+
+    SuPolyL_.lu = 0.5*(SuPolyL_.ul + SuPolyU_.ll);
+    SuPolyU_.lu = SuPolyL_.lu - SMALL;
+
+    MaPolyL_.lu = 0.5*(MaPolyL_.ul + MaPolyU_.ll);
+    MaPolyU_.lu = MaPolyL_.lu - SMALL;
+
+    if (debug)
+    {
+        Info<< "phi     Su  (T = Tref, p = pref)" << endl;
+        label n = 200;
+        for (int i=0; i<n; i++)
+        {
+            scalar phi = (2.0*i)/n;
+            Info<< phi << token::TAB << SuRef(phi) << endl;
+        }
+    }
+}
+
+
+// * * * * * * * * * * * * * * * * Destructor  * * * * * * * * * * * * * * * //
+
+Foam::laminarFlameSpeedModels::SCOPE::~SCOPE()
+{}
+
+
+// * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * * //
+
+inline Foam::scalar Foam::laminarFlameSpeedModels::SCOPE::polyPhi
+(
+    scalar phi,
+    const polynomial& a
+)
+{
+    scalar x = phi - 1.0;
+
+    return
+        a[0]
+       *(
+           scalar(1)
+         + x*(a[1] + x*(a[2] + x*(a[3] + x*(a[4] + x*(a[5] + x*a[6])))))
+        );
+}
+
+
+inline Foam::scalar Foam::laminarFlameSpeedModels::SCOPE::SuRef
+(
+    scalar phi
+) const
+{
+    if (phi < LFL_ || phi > UFL_)
+    {
+        // Return 0 beyond the flamibility limits
+        return scalar(0);
+    }
+    else if (phi < SuPolyL_.ll)
+    {
+        // Use linear interpolation between the low end of the
+        // lower polynomial and the lower flamibility limit
+        return SuPolyL_.llv*(phi - LFL_)/(SuPolyL_.ll - LFL_);
+    }
+    else if (phi > SuPolyU_.ul)
+    {
+        // Use linear interpolation between the upper end of the
+        // upper polynomial and the upper flamibility limit
+        return SuPolyU_.ulv*(UFL_ - phi)/(UFL_ - SuPolyU_.ul);
+    }
+    else if (phi < SuPolyL_.lu)
+    {
+        // Evaluate the lower polynomial
+        return polyPhi(phi, SuPolyL_);
+    }
+    else if (phi > SuPolyU_.lu)
+    {
+        // Evaluate the upper polynomial
+        return polyPhi(phi, SuPolyU_);
+    }
+    else
+    {
+        FatalErrorIn("laminarFlameSpeedModels::SCOPE::SuRef(scalar phi)")
+            << "phi = " << phi
+            << " cannot be handled by SCOPE function with the "
+               "given coefficients"
+            << exit(FatalError);
+
+        return scalar(0);
+    }
+}
+
+
+inline Foam::scalar Foam::laminarFlameSpeedModels::SCOPE::Ma
+(
+    scalar phi
+) const
+{
+    if (phi < MaPolyL_.ll)
+    {
+        // Beyond the lower limit assume Ma is constant
+        return MaPolyL_.llv;
+    }
+    else if (phi > MaPolyU_.ul)
+    {
+        // Beyond the upper limit assume Ma is constant
+        return MaPolyU_.ulv;
+    }
+    else if (phi < SuPolyL_.lu)
+    {
+        // Evaluate the lower polynomial
+        return polyPhi(phi, MaPolyL_);
+    }
+    else if (phi > SuPolyU_.lu)
+    {
+        // Evaluate the upper polynomial
+        return polyPhi(phi, MaPolyU_);
+    }
+    else
+    {
+        FatalErrorIn("laminarFlameSpeedModels::SCOPE::Ma(scalar phi)")
+            << "phi = " << phi
+            << " cannot be handled by SCOPE function with the "
+               "given coefficients"
+            << exit(FatalError);
+
+        return scalar(0);
+    }
+}
+
+
+inline Foam::scalar Foam::laminarFlameSpeedModels::SCOPE::Su0pTphi
+(
+    scalar p,
+    scalar Tu,
+    scalar phi
+) const
+{
+    static const scalar Tref = 300.0;
+    static const scalar pRef = 1.013e5;
+
+    return SuRef(phi)*pow((Tu/Tref), Texp_)*pow((p/pRef), pexp_);
+}
+
+
+Foam::tmp<Foam::volScalarField> Foam::laminarFlameSpeedModels::SCOPE::Su0pTphi
+(
+    const volScalarField& p,
+    const volScalarField& Tu,
+    scalar phi
+) const
+{
+    tmp<volScalarField> tSu0
+    (
+        new volScalarField
+        (
+            IOobject
+            (
+                "Su0",
+                p.time().timeName(),
+                p.db(),
+                IOobject::NO_READ,
+                IOobject::NO_WRITE
+            ),
+            p.mesh(),
+            dimensionedScalar("Su0", dimVelocity, 0.0)
+        )
+    );
+
+    volScalarField& Su0 = tSu0();
+
+    forAll(Su0, celli)
+    {
+        Su0[celli] = Su0pTphi(p[celli], Tu[celli], phi);
+    }
+
+    forAll(Su0.boundaryField(), patchi)
+    {
+        scalarField& Su0p = Su0.boundaryField()[patchi];
+        const scalarField& pp = p.boundaryField()[patchi];
+        const scalarField& Tup = Tu.boundaryField()[patchi];
+
+        forAll(Su0p, facei)
+        {
+            Su0p[facei] = Su0pTphi(pp[facei], Tup[facei], phi);
+        }
+    }
+
+    return tSu0;
+}
+
+
+Foam::tmp<Foam::volScalarField> Foam::laminarFlameSpeedModels::SCOPE::Su0pTphi
+(
+    const volScalarField& p,
+    const volScalarField& Tu,
+    const volScalarField& phi
+) const
+{
+    tmp<volScalarField> tSu0
+    (
+        new volScalarField
+        (
+            IOobject
+            (
+                "Su0",
+                p.time().timeName(),
+                p.db(),
+                IOobject::NO_READ,
+                IOobject::NO_WRITE
+            ),
+            p.mesh(),
+            dimensionedScalar("Su0", dimVelocity, 0.0)
+        )
+    );
+
+    volScalarField& Su0 = tSu0();
+
+    forAll(Su0, celli)
+    {
+        Su0[celli] = Su0pTphi(p[celli], Tu[celli], phi[celli]);
+    }
+
+    forAll(Su0.boundaryField(), patchi)
+    {
+        scalarField& Su0p = Su0.boundaryField()[patchi];
+        const scalarField& pp = p.boundaryField()[patchi];
+        const scalarField& Tup = Tu.boundaryField()[patchi];
+        const scalarField& phip = phi.boundaryField()[patchi];
+
+        forAll(Su0p, facei)
+        {
+            Su0p[facei] =
+                Su0pTphi
+                (
+                    pp[facei],
+                    Tup[facei],
+                    phip[facei]
+                );
+        }
+    }
+
+    return tSu0;
+}
+
+
+Foam::tmp<Foam::volScalarField> Foam::laminarFlameSpeedModels::SCOPE::Ma
+(
+    const volScalarField& phi
+) const
+{
+    tmp<volScalarField> tMa
+    (
+        new volScalarField
+        (
+            IOobject
+            (
+                "Ma",
+                phi.time().timeName(),
+                phi.db(),
+                IOobject::NO_READ,
+                IOobject::NO_WRITE
+            ),
+            phi.mesh(),
+            dimensionedScalar("Ma", dimless, 0.0)
+        )
+    );
+
+    volScalarField& ma = tMa();
+
+    forAll(ma, celli)
+    {
+        ma[celli] = Ma(phi[celli]);
+    }
+
+    forAll(ma.boundaryField(), patchi)
+    {
+        scalarField& map = ma.boundaryField()[patchi];
+        const scalarField& phip = phi.boundaryField()[patchi];
+
+        forAll(map, facei)
+        {
+            map[facei] = Ma(phip[facei]);
+        }
+    }
+
+    return tMa;
+}
+
+
+Foam::tmp<Foam::volScalarField>
+Foam::laminarFlameSpeedModels::SCOPE::Ma() const
+{
+    if (psiuReactionThermo_.composition().contains("ft"))
+    {
+        const volScalarField& ft = psiuReactionThermo_.composition().Y("ft");
+
+        return Ma
+        (
+            dimensionedScalar
+            (
+                psiuReactionThermo_.lookup("stoichiometricAirFuelMassRatio")
+            )*ft/(scalar(1) - ft)
+        );
+    }
+    else
+    {
+        const fvMesh& mesh = psiuReactionThermo_.p().mesh();
+
+        return tmp<volScalarField>
+        (
+            new volScalarField
+            (
+                IOobject
+                (
+                    "Ma",
+                    mesh.time().timeName(),
+                    mesh,
+                    IOobject::NO_READ,
+                    IOobject::NO_WRITE
+                ),
+                mesh,
+                dimensionedScalar("Ma", dimless, Ma(equivalenceRatio_))
+            )
+        );
+    }
+}
+
+
+Foam::tmp<Foam::volScalarField>
+Foam::laminarFlameSpeedModels::SCOPE::operator()() const
+{
+    if (psiuReactionThermo_.composition().contains("ft"))
+    {
+        const volScalarField& ft = psiuReactionThermo_.composition().Y("ft");
+
+        return Su0pTphi
+        (
+            psiuReactionThermo_.p(),
+            psiuReactionThermo_.Tu(),
+            dimensionedScalar
+            (
+                psiuReactionThermo_.lookup("stoichiometricAirFuelMassRatio")
+            )*ft/(scalar(1) - ft)
+        );
+    }
+    else
+    {
+        return Su0pTphi
+        (
+            psiuReactionThermo_.p(),
+            psiuReactionThermo_.Tu(),
+            equivalenceRatio_
+        );
+    }
+}
+
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/laminarFlameSpeed/SCOPE/SCOPELaminarFlameSpeed.H

@@ -0,0 +1,220 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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::laminarFlameSpeedModels::SCOPE
+
+Description
+    Laminar flame speed obtained from the SCOPE correlation.
+
+    Seven parameters are specified in terms of polynomial functions of
+    stoichiometry. Two polynomials are fitted, covering different parts of the
+    flammable range. If the mixture is outside the fitted range, linear
+    interpolation is used between the extreme of the polynomio and the upper or
+    lower flammable limit with the Markstein number constant.
+
+    Variations of pressure and temperature from the reference values are taken
+    into account through \f$ pexp \f$ and \f$ texp \f$
+
+    The laminar burning velocity fitting polynomial is:
+
+    \f$ Su = a_{0}(1+a_{1}x+K+..a_{i}x^{i}..+a_{6}x^{6}) (p/p_{ref})^{pexp}
+    (T/T_{ref})^{texp} \f$
+
+    where:
+
+        \f$ a_{i} \f$ are the polinomial coefficients.
+
+        \f$ pexp \f$ and \f$ texp \f$ are the pressure and temperature factors
+        respectively.
+
+        \f$ x \f$ is the equivalence ratio.
+
+        \f$ T_{ref} \f$ and \f$ p_{ref} \f$ are the temperature and pressure
+        references for the laminar burning velocity.
+
+
+SourceFiles
+    SCOPELaminarFlameSpeed.C
+
+\*---------------------------------------------------------------------------*/
+
+#ifndef SCOPE_H
+#define SCOPE_H
+
+#include "laminarFlameSpeed.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+namespace Foam
+{
+namespace laminarFlameSpeedModels
+{
+
+/*---------------------------------------------------------------------------*\
+                           Class SCOPE Declaration
+\*---------------------------------------------------------------------------*/
+
+class SCOPE
+:
+    public laminarFlameSpeed
+{
+    // Private Data
+
+        class polynomial
+        :
+            public FixedList<scalar, 7>
+        {
+        public:
+
+            //- Lower limit
+            scalar ll;
+
+            //- Upper polynomial limit
+            scalar ul;
+
+            //- Value at lower limit
+            scalar llv;
+
+            //- Value at upper limit
+            scalar ulv;
+
+            //- Changeover point from lower to upper polynomial
+            scalar lu;
+
+            //- Construct from dictionary
+            polynomial(const dictionary& polyDict);
+        };
+
+
+        dictionary coeffsDict_;
+
+        //- Lower flamability limit
+        scalar LFL_;
+
+        //- Upper flamability limit
+        scalar UFL_;
+
+        //- Lower Su polynomial
+        polynomial SuPolyL_;
+
+        //- Upper Su polynomial
+        polynomial SuPolyU_;
+
+        //- Temperature correction exponent
+        scalar Texp_;
+
+        //- Pressure correction exponent
+        scalar pexp_;
+
+        //- Lower Ma polynomial
+        polynomial MaPolyL_;
+
+        //- Upper Ma polynomial
+        polynomial MaPolyU_;
+
+
+    // Private member functions
+
+        //- Polynomial evaluated from the given equivalence ratio
+        //  and polynomial coefficients
+        static inline scalar polyPhi(scalar phi, const polynomial& a);
+
+        //- Laminar flame speed evaluated from the given equivalence ratio
+        //  at the reference temperature and pressure
+        inline scalar SuRef(scalar phi) const;
+
+        //- Markstein evaluated from the given equivalence ratio
+        inline scalar Ma(scalar phi) const;
+
+        //- Laminar flame speed evaluated from the given equivalence ratio
+        //  corrected for temperature and pressure dependence
+        inline scalar Su0pTphi(scalar p, scalar Tu, scalar phi) const;
+
+        //- Laminar flame speed evaluated from the given uniform
+        //  equivalence ratio corrected for temperature and pressure dependence
+        tmp<volScalarField> Su0pTphi
+        (
+            const volScalarField& p,
+            const volScalarField& Tu,
+            scalar phi
+        ) const;
+
+        //- Laminar flame speed evaluated from the given equivalence ratio
+        //  distribution corrected for temperature and pressure dependence
+        tmp<volScalarField> Su0pTphi
+        (
+            const volScalarField& p,
+            const volScalarField& Tu,
+            const volScalarField& phi
+        ) const;
+
+        //- Return the Markstein number
+        //  evaluated from the given equivalence ratio
+        tmp<volScalarField> Ma(const volScalarField& phi) const;
+
+        //- Construct as copy (not implemented)
+        SCOPE(const SCOPE&);
+
+        void operator=(const SCOPE&);
+
+
+public:
+
+    //- Runtime type information
+    TypeName("SCOPE");
+
+    // Constructors
+
+        //- Construct from dictionary and psiuReactionThermo
+        SCOPE
+        (
+            const dictionary&,
+            const psiuReactionThermo&
+        );
+
+
+    //- Destructor
+    ~SCOPE();
+
+
+    // Member functions
+
+        //- Return the Markstein number
+        tmp<volScalarField> Ma() const;
+
+        //- Return the laminar flame speed [m/s]
+        tmp<volScalarField> operator()() const;
+};
+
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+} // End laminarFlameSpeedModels
+} // End namespace Foam
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#endif
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/pEqn.H

@@ -0,0 +1,76 @@
+rho = thermo.rho();
+
+volScalarField rAU(1.0/UEqn.A());
+
+volVectorField HbyA("HbyA", U);
+HbyA = invA & UEqn.H();
+
+if (pimple.transonic())
+{
+    surfaceScalarField phid
+    (
+        "phid",
+        fvc::interpolate(psi)
+       *(
+            (fvc::interpolate(rho*HbyA) & mesh.Sf())
+          + fvc::interpolate(rho*rAU)*fvc::ddtCorr(rho, U, phi)
+        )/fvc::interpolate(rho)
+    );
+
+    while (pimple.correctNonOrthogonal())
+    {
+        fvScalarMatrix pEqn
+        (
+            betav*fvm::ddt(psi, p)
+          + fvm::div(phid, p)
+          - fvm::laplacian(rho*invA, p)
+        );
+
+        pEqn.solve(mesh.solver(p.select(pimple.finalInnerIter())));
+
+        if (pimple.finalNonOrthogonalIter())
+        {
+            phi == pEqn.flux();
+        }
+    }
+}
+else
+{
+    surfaceScalarField phiHbyA
+    (
+        "phiHbyA",
+        (
+            (fvc::interpolate(rho*HbyA) & mesh.Sf())
+          + fvc::interpolate(rho*rAU)*fvc::ddtCorr(rho, U, phi)
+        )
+    );
+
+    while (pimple.correctNonOrthogonal())
+    {
+        fvScalarMatrix pEqn
+        (
+            betav*fvm::ddt(psi, p)
+          + fvc::div(phiHbyA)
+          - fvm::laplacian(rho*invA, p)
+        );
+
+        pEqn.solve(mesh.solver(p.select(pimple.finalInnerIter())));
+
+        if (pimple.finalNonOrthogonalIter())
+        {
+            phi = phiHbyA + pEqn.flux();
+        }
+    }
+}
+
+#include "rhoEqn.H"
+#include "continuityErrs.H"
+
+U = HbyA - (invA & (betav*fvc::grad(p)));
+U.correctBoundaryConditions();
+K = 0.5*magSqr(U);
+
+if (thermo.dpdt())
+{
+    dpdt = fvc::ddt(p);
+}

applications/solvers/combustion/PDRFoam/readCombustionProperties.H

@@ -0,0 +1,15 @@
+    Info<< "Reading combustion properties\n" << endl;
+
+    IOdictionary combustionProperties
+    (
+        IOobject
+        (
+            "combustionProperties",
+            runTime.constant(),
+            mesh,
+            IOobject::MUST_READ_IF_MODIFIED,
+            IOobject::NO_WRITE
+        )
+    );
+
+    ignition ign(combustionProperties, runTime, mesh);

applications/solvers/combustion/PDRFoam/rhoEqn.H

@@ -0,0 +1,36 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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/>.
+
+Global
+    rhoEqn
+
+Description
+    Solve the continuity for density.
+
+\*---------------------------------------------------------------------------*/
+
+{
+    solve(betav*fvm::ddt(rho) + fvc::div(phi));
+}
+
+// ************************************************************************* //

applications/solvers/combustion/PDRFoam/setDeltaT.H

@@ -0,0 +1,51 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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/>.
+
+Global
+    setDeltaT
+
+Description
+    Reset the timestep to maintain a constant maximum courant Number.
+    Reduction of time-step is imediate but increase is damped to avoid
+    unstable oscillations.
+
+\*---------------------------------------------------------------------------*/
+
+if (adjustTimeStep)
+{
+    scalar maxDeltaTFact = maxCo/(CoNum + StCoNum + SMALL);
+    scalar deltaTFact = min(min(maxDeltaTFact, 1.0 + 0.1*maxDeltaTFact), 1.2);
+
+    runTime.setDeltaT
+    (
+        min
+        (
+            deltaTFact*runTime.deltaTValue(),
+            maxDeltaT
+        )
+    );
+
+    Info<< "deltaT = " <<  runTime.deltaTValue() << endl;
+}
+
+// ************************************************************************* //

applications/solvers/combustion/XiFoam/EaEqn.H

@@ -0,0 +1,31 @@
+{
+    volScalarField& hea = thermo.he();
+
+    fvScalarMatrix EaEqn
+    (
+        fvm::ddt(rho, hea) + mvConvection->fvmDiv(phi, hea)
+      + fvc::ddt(rho, K) + fvc::div(phi, K)
+      + (
+            hea.name() == "ea"
+          ? fvc::div
+            (
+                fvc::absolute(phi/fvc::interpolate(rho), U),
+                p,
+                "div(phiv,p)"
+            )
+          : -dpdt
+        )
+      - fvm::laplacian(turbulence->alphaEff(), hea)
+      + fvOptions(rho, hea)
+    );
+
+    EaEqn.relax();
+
+    fvOptions.constrain(EaEqn);
+
+    EaEqn.solve();
+
+    fvOptions.correct(hea);
+
+    thermo.correct();
+}

applications/solvers/combustion/XiFoam/EauEqn.H

@@ -0,0 +1,36 @@
+if (ign.ignited())
+{
+    volScalarField& heau = thermo.heu();
+
+    fvScalarMatrix heauEqn
+    (
+        fvm::ddt(rho, heau) + mvConvection->fvmDiv(phi, heau)
+      + (fvc::ddt(rho, K) + fvc::div(phi, K))*rho/thermo.rhou()
+      + (
+            heau.name() == "eau"
+          ? fvc::div
+            (
+                fvc::absolute(phi/fvc::interpolate(rho), U),
+                p,
+                "div(phiv,p)"
+            )*rho/thermo.rhou()
+          : -dpdt*rho/thermo.rhou()
+        )
+      - fvm::laplacian(turbulence->alphaEff(), heau)
+
+        // These terms cannot be used in partially-premixed combustion due to
+        // the resultant inconsistency between ft and heau transport.
+        // A possible solution would be to solve for ftu as well as ft.
+        //- fvm::div(muEff*fvc::grad(b)/(b + 0.001), heau)
+        //+ fvm::Sp(fvc::div(muEff*fvc::grad(b)/(b + 0.001)), heau)
+
+     ==
+        fvOptions(rho, heau)
+    );
+
+    fvOptions.constrain(heauEqn);
+
+    heauEqn.solve();
+
+    fvOptions.correct(heau);
+}

applications/solvers/combustion/XiFoam/Make/files

@@ -0,0 +1,3 @@
+XiFoam.C
+
+EXE = $(FOAM_APPBIN)/XiFoam

applications/solvers/combustion/XiFoam/Make/options

@@ -0,0 +1,25 @@
+EXE_INC = \
+    -I$(LIB_SRC)/finiteVolume/lnInclude \
+    -I$(LIB_SRC)/fvOptions/lnInclude \
+    -I$(LIB_SRC)/sampling/lnInclude \
+    -I$(LIB_SRC)/meshTools/lnInclude\
+    -I$(LIB_SRC)/engine/lnInclude \
+    -I$(LIB_SRC)/thermophysicalModels/specie/lnInclude \
+    -I$(LIB_SRC)/thermophysicalModels/basic/lnInclude \
+    -I$(LIB_SRC)/thermophysicalModels/reactionThermo/lnInclude \
+    -I$(LIB_SRC)/turbulenceModels/compressible/turbulenceModel \
+    -I$(LIB_SRC)/thermophysicalModels/laminarFlameSpeed/lnInclude
+
+EXE_LIBS = \
+    -lfiniteVolume \
+    -lfvOptions \
+    -lsampling \
+    -lmeshTools \
+    -lengine \
+    -lcompressibleTurbulenceModel \
+    -lcompressibleRASModels \
+    -lcompressibleLESModels \
+    -lfluidThermophysicalModels \
+    -lreactionThermophysicalModels \
+    -lspecie \
+    -llaminarFlameSpeedModels

applications/solvers/combustion/XiFoam/UEqn.H

@@ -0,0 +1,21 @@
+    fvVectorMatrix UEqn
+    (
+        fvm::ddt(rho, U)
+      + fvm::div(phi, U)
+      + turbulence->divDevRhoReff(U)
+     ==
+        rho*g
+      + fvOptions(rho, U)
+    );
+
+    UEqn.relax();
+
+    fvOptions.constrain(UEqn);
+
+    if (pimple.momentumPredictor())
+    {
+        solve(UEqn == -fvc::grad(p));
+
+        fvOptions.correct(U);
+        K = 0.5*magSqr(U);
+    }

applications/solvers/combustion/XiFoam/XiFoam.C

@@ -0,0 +1,137 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2013 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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/>.
+
+Application
+    XiFoam
+
+Description
+    Solver for compressible premixed/partially-premixed combustion with
+    turbulence modelling.
+
+    Combusting RANS code using the b-Xi two-equation model.
+    Xi may be obtained by either the solution of the Xi transport
+    equation or from an algebraic exression.  Both approaches are
+    based on Gulder's flame speed correlation which has been shown
+    to be appropriate by comparison with the results from the
+    spectral model.
+
+    Strain effects are encorporated directly into the Xi equation
+    but not in the algebraic approximation.  Further work need to be
+    done on this issue, particularly regarding the enhanced removal rate
+    caused by flame compression.  Analysis using results of the spectral
+    model will be required.
+
+    For cases involving very lean Propane flames or other flames which are
+    very strain-sensitive, a transport equation for the laminar flame
+    speed is present.  This equation is derived using heuristic arguments
+    involving the strain time scale and the strain-rate at extinction.
+    the transport velocity is the same as that for the Xi equation.
+
+\*---------------------------------------------------------------------------*/
+
+#include "fvCFD.H"
+#include "psiuReactionThermo.H"
+#include "turbulenceModel.H"
+#include "laminarFlameSpeed.H"
+#include "ignition.H"
+#include "Switch.H"
+#include "pimpleControl.H"
+#include "fvIOoptionList.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+int main(int argc, char *argv[])
+{
+    #include "setRootCase.H"
+
+    #include "createTime.H"
+    #include "createMesh.H"
+    #include "readCombustionProperties.H"
+    #include "readGravitationalAcceleration.H"
+    #include "createFields.H"
+    #include "createFvOptions.H"
+    #include "initContinuityErrs.H"
+    #include "readTimeControls.H"
+    #include "compressibleCourantNo.H"
+    #include "setInitialDeltaT.H"
+
+    pimpleControl pimple(mesh);
+
+    // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+    Info<< "\nStarting time loop\n" << endl;
+
+    while (runTime.run())
+    {
+        #include "readTimeControls.H"
+        #include "compressibleCourantNo.H"
+        #include "setDeltaT.H"
+
+        runTime++;
+        Info<< "Time = " << runTime.timeName() << nl << endl;
+
+        #include "rhoEqn.H"
+
+        // --- Pressure-velocity PIMPLE corrector loop
+        while (pimple.loop())
+        {
+            #include "UEqn.H"
+
+            #include "ftEqn.H"
+            #include "bEqn.H"
+            #include "EauEqn.H"
+            #include "EaEqn.H"
+
+            if (!ign.ignited())
+            {
+                thermo.heu() == thermo.he();
+            }
+
+            // --- Pressure corrector loop
+            while (pimple.correct())
+            {
+                #include "pEqn.H"
+            }
+
+            if (pimple.turbCorr())
+            {
+                turbulence->correct();
+            }
+        }
+
+        rho = thermo.rho();
+
+        runTime.write();
+
+        Info<< "ExecutionTime = " << runTime.elapsedCpuTime() << " s"
+            << "  ClockTime = " << runTime.elapsedClockTime() << " s"
+            << nl << endl;
+    }
+
+    Info<< "End\n" << endl;
+
+    return 0;
+}
+
+
+// ************************************************************************* //

applications/solvers/combustion/XiFoam/bEqn.H

@@ -0,0 +1,279 @@
+if (ign.ignited())
+{
+    // progress variable
+    // ~~~~~~~~~~~~~~~~~
+    volScalarField c(scalar(1) - b);
+
+    // Unburnt gas density
+    // ~~~~~~~~~~~~~~~~~~~
+    volScalarField rhou(thermo.rhou());
+
+    // Calculate flame normal etc.
+    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+    volVectorField n(fvc::grad(b));
+
+    volScalarField mgb(mag(n));
+
+    dimensionedScalar dMgb = 1.0e-3*
+        (b*c*mgb)().weightedAverage(mesh.V())
+       /((b*c)().weightedAverage(mesh.V()) + SMALL)
+      + dimensionedScalar("ddMgb", mgb.dimensions(), SMALL);
+
+    mgb += dMgb;
+
+    surfaceVectorField SfHat(mesh.Sf()/mesh.magSf());
+    surfaceVectorField nfVec(fvc::interpolate(n));
+    nfVec += SfHat*(fvc::snGrad(b) - (SfHat & nfVec));
+    nfVec /= (mag(nfVec) + dMgb);
+    surfaceScalarField nf((mesh.Sf() & nfVec));
+    n /= mgb;
+
+
+    #include "StCorr.H"
+
+    // Calculate turbulent flame speed flux
+    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+    surfaceScalarField phiSt("phiSt", fvc::interpolate(rhou*StCorr*Su*Xi)*nf);
+
+    scalar StCoNum = max
+    (
+        mesh.surfaceInterpolation::deltaCoeffs()
+       *mag(phiSt)/(fvc::interpolate(rho)*mesh.magSf())
+    ).value()*runTime.deltaTValue();
+
+    Info<< "Max St-Courant Number = " << StCoNum << endl;
+
+    // Create b equation
+    // ~~~~~~~~~~~~~~~~~
+    fvScalarMatrix bEqn
+    (
+        fvm::ddt(rho, b)
+      + mvConvection->fvmDiv(phi, b)
+      + fvm::div(phiSt, b)
+      - fvm::Sp(fvc::div(phiSt), b)
+      - fvm::laplacian(turbulence->alphaEff(), b)
+     ==
+        fvOptions(rho, b)
+    );
+
+
+    // Add ignition cell contribution to b-equation
+    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+    #include "ignite.H"
+
+
+    // Solve for b
+    // ~~~~~~~~~~~
+    bEqn.relax();
+
+    fvOptions.constrain(bEqn);
+
+    bEqn.solve();
+
+    fvOptions.correct(b);
+
+    Info<< "min(b) = " << min(b).value() << endl;
+
+
+    // Calculate coefficients for Gulder's flame speed correlation
+    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+    volScalarField up(uPrimeCoef*sqrt((2.0/3.0)*turbulence->k()));
+  //volScalarField up(sqrt(mag(diag(n * n) & diag(turbulence->r()))));
+
+    volScalarField epsilon(pow(uPrimeCoef, 3)*turbulence->epsilon());
+
+    volScalarField tauEta(sqrt(thermo.muu()/(rhou*epsilon)));
+
+    volScalarField Reta
+    (
+        up
+      / (
+            sqrt(epsilon*tauEta)
+          + dimensionedScalar("1e-8", up.dimensions(), 1e-8)
+        )
+    );
+
+  //volScalarField l = 0.337*k*sqrt(k)/epsilon;
+  //Reta *= max((l - dimensionedScalar("dl", dimLength, 1.5e-3))/l, 0.0);
+
+    // Calculate Xi flux
+    // ~~~~~~~~~~~~~~~~~
+    surfaceScalarField phiXi
+    (
+        phiSt
+      - fvc::interpolate(fvc::laplacian(turbulence->alphaEff(), b)/mgb)*nf
+      + fvc::interpolate(rho)*fvc::interpolate(Su*(1.0/Xi - Xi))*nf
+    );
+
+
+    // Calculate mean and turbulent strain rates
+    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+    volVectorField Ut(U + Su*Xi*n);
+    volScalarField sigmat((n & n)*fvc::div(Ut) - (n & fvc::grad(Ut) & n));
+
+    volScalarField sigmas
+    (
+        ((n & n)*fvc::div(U) - (n & fvc::grad(U) & n))/Xi
+      + (
+            (n & n)*fvc::div(Su*n)
+          - (n & fvc::grad(Su*n) & n)
+        )*(Xi + scalar(1))/(2*Xi)
+    );
+
+
+    // Calculate the unstrained laminar flame speed
+    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+    volScalarField Su0(unstrainedLaminarFlameSpeed()());
+
+
+    // Calculate the laminar flame speed in equilibrium with the applied strain
+    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+    volScalarField SuInf(Su0*max(scalar(1) - sigmas/sigmaExt, scalar(0.01)));
+
+    if (SuModel == "unstrained")
+    {
+        Su == Su0;
+    }
+    else if (SuModel == "equilibrium")
+    {
+        Su == SuInf;
+    }
+    else if (SuModel == "transport")
+    {
+        // Solve for the strained laminar flame speed
+        // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+        volScalarField Rc
+        (
+            (sigmas*SuInf*(Su0 - SuInf) + sqr(SuMin)*sigmaExt)
+            /(sqr(Su0 - SuInf) + sqr(SuMin))
+        );
+
+        fvScalarMatrix SuEqn
+        (
+            fvm::ddt(rho, Su)
+          + fvm::div(phi + phiXi, Su, "div(phiXi,Su)")
+          - fvm::Sp(fvc::div(phiXi), Su)
+          ==
+          - fvm::SuSp(-rho*Rc*Su0/Su, Su)
+          - fvm::SuSp(rho*(sigmas + Rc), Su)
+          + fvOptions(rho, Su)
+        );
+
+        SuEqn.relax();
+
+        fvOptions.constrain(SuEqn);
+
+        SuEqn.solve();
+
+        fvOptions.correct(Su);
+
+        // Limit the maximum Su
+        // ~~~~~~~~~~~~~~~~~~~~
+        Su.min(SuMax);
+        Su.max(SuMin);
+    }
+    else
+    {
+        FatalError
+            << args.executable() << " : Unknown Su model " << SuModel
+            << abort(FatalError);
+    }
+
+
+    // Calculate Xi according to the selected flame wrinkling model
+    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+    if (XiModel == "fixed")
+    {
+        // Do nothing, Xi is fixed!
+    }
+    else if (XiModel == "algebraic")
+    {
+        // Simple algebraic model for Xi based on Gulders correlation
+        // with a linear correction function to give a plausible profile for Xi
+        // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+        Xi == scalar(1) +
+            (scalar(1) + (2*XiShapeCoef)*(scalar(0.5) - b))
+           *XiCoef*sqrt(up/(Su + SuMin))*Reta;
+    }
+    else if (XiModel == "transport")
+    {
+        // Calculate Xi transport coefficients based on Gulders correlation
+        // and DNS data for the rate of generation
+        // with a linear correction function to give a plausible profile for Xi
+        // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+
+        volScalarField XiEqStar
+        (
+            scalar(1.001) + XiCoef*sqrt(up/(Su + SuMin))*Reta
+        );
+
+        volScalarField XiEq
+        (
+            scalar(1.001)
+          + (
+                scalar(1)
+              + (2*XiShapeCoef)
+               *(scalar(0.5) - min(max(b, scalar(0)), scalar(1)))
+            )*(XiEqStar - scalar(1.001))
+        );
+
+        volScalarField Gstar(0.28/tauEta);
+        volScalarField R(Gstar*XiEqStar/(XiEqStar - scalar(1)));
+        volScalarField G(R*(XiEq - scalar(1.001))/XiEq);
+
+        //R *= (Gstar + 2*mag(dev(symm(fvc::grad(U)))))/Gstar;
+
+        // Solve for the flame wrinkling
+        // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
+        fvScalarMatrix XiEqn
+        (
+            fvm::ddt(rho, Xi)
+          + fvm::div(phi + phiXi, Xi, "div(phiXi,Xi)")
+          - fvm::Sp(fvc::div(phiXi), Xi)
+         ==
+            rho*R
+          - fvm::Sp(rho*(R - G), Xi)
+          - fvm::Sp
+            (
+                rho*max
+                (
+                    sigmat - sigmas,
+                    dimensionedScalar("0", sigmat.dimensions(), 0)
+                ),
+                Xi
+            )
+          + fvOptions(rho, Xi)
+        );
+
+        XiEqn.relax();
+
+        fvOptions.constrain(XiEqn);
+
+        XiEqn.solve();
+
+        fvOptions.correct(Xi);
+
+        // Correct boundedness of Xi
+        // ~~~~~~~~~~~~~~~~~~~~~~~~~
+        Xi.max(1.0);
+        Info<< "max(Xi) = " << max(Xi).value() << endl;
+        Info<< "max(XiEq) = " << max(XiEq).value() << endl;
+    }
+    else
+    {
+        FatalError
+            << args.executable() << " : Unknown Xi model " << XiModel
+            << abort(FatalError);
+    }
+
+    Info<< "Combustion progress = "
+        << 100*(scalar(1) - b)().weightedAverage(mesh.V()).value() << "%"
+        << endl;
+
+    St = Xi*Su;
+}

applications/solvers/combustion/XiFoam/createFields.H

@@ -0,0 +1,140 @@
+    Info<< "Reading thermophysical properties\n" << endl;
+
+    autoPtr<psiuReactionThermo> pThermo
+    (
+        psiuReactionThermo::New(mesh)
+    );
+    psiuReactionThermo& thermo = pThermo();
+    thermo.validate(args.executable(), "ha", "ea");
+
+    basicMultiComponentMixture& composition = thermo.composition();
+
+    volScalarField rho
+    (
+        IOobject
+        (
+            "rho",
+            runTime.timeName(),
+            mesh,
+            IOobject::NO_READ,
+            IOobject::AUTO_WRITE
+        ),
+        thermo.rho()
+    );
+
+    volScalarField& p = thermo.p();
+    const volScalarField& psi = thermo.psi();
+
+    volScalarField& b = composition.Y("b");
+    Info<< "min(b) = " << min(b).value() << endl;
+
+
+    Info<< "\nReading field U\n" << endl;
+    volVectorField U
+    (
+        IOobject
+        (
+            "U",
+            runTime.timeName(),
+            mesh,
+            IOobject::MUST_READ,
+            IOobject::AUTO_WRITE
+        ),
+        mesh
+    );
+
+    #include "compressibleCreatePhi.H"
+
+
+    Info<< "Creating turbulence model\n" << endl;
+    autoPtr<compressible::turbulenceModel> turbulence
+    (
+        compressible::turbulenceModel::New
+        (
+            rho,
+            U,
+            phi,
+            thermo
+        )
+    );
+
+    Info<< "Creating field dpdt\n" << endl;
+    volScalarField dpdt
+    (
+        IOobject
+        (
+            "dpdt",
+            runTime.timeName(),
+            mesh
+        ),
+        mesh,
+        dimensionedScalar("dpdt", p.dimensions()/dimTime, 0)
+    );
+
+    Info<< "Creating field kinetic energy K\n" << endl;
+    volScalarField K("K", 0.5*magSqr(U));
+
+    Info<< "Creating field Xi\n" << endl;
+    volScalarField Xi
+    (
+        IOobject
+        (
+            "Xi",
+            runTime.timeName(),
+            mesh,
+            IOobject::MUST_READ,
+            IOobject::AUTO_WRITE
+        ),
+        mesh
+    );
+
+
+    Info<< "Creating the unstrained laminar flame speed\n" << endl;
+    autoPtr<laminarFlameSpeed> unstrainedLaminarFlameSpeed
+    (
+        laminarFlameSpeed::New(thermo)
+    );
+
+
+    Info<< "Reading strained laminar flame speed field Su\n" << endl;
+    volScalarField Su
+    (
+        IOobject
+        (
+            "Su",
+            runTime.timeName(),
+            mesh,
+            IOobject::MUST_READ,
+            IOobject::AUTO_WRITE
+        ),
+        mesh
+    );
+
+    dimensionedScalar SuMin = 0.01*Su.average();
+    dimensionedScalar SuMax = 4*Su.average();
+
+    Info<< "Calculating turbulent flame speed field St\n" << endl;
+    volScalarField St
+    (
+        IOobject
+        (
+            "St",
+            runTime.timeName(),
+            mesh,
+            IOobject::NO_READ,
+            IOobject::AUTO_WRITE
+        ),
+        Xi*Su
+    );
+
+
+    multivariateSurfaceInterpolationScheme<scalar>::fieldTable fields;
+
+    if (composition.contains("ft"))
+    {
+        fields.add(composition.Y("ft"));
+    }
+
+    fields.add(b);
+    fields.add(thermo.he());
+    fields.add(thermo.heu());

applications/solvers/combustion/XiFoam/ftEqn.H

@@ -0,0 +1,30 @@
+tmp<fv::convectionScheme<scalar> > mvConvection
+(
+    fv::convectionScheme<scalar>::New
+    (
+        mesh,
+        fields,
+        phi,
+        mesh.divScheme("div(phi,ft_b_ha_hau)")
+    )
+);
+
+if (composition.contains("ft"))
+{
+    volScalarField& ft = composition.Y("ft");
+
+    fvScalarMatrix ftEqn
+    (
+        fvm::ddt(rho, ft)
+      + mvConvection->fvmDiv(phi, ft)
+      - fvm::laplacian(turbulence->alphaEff(), ft)
+     ==
+        fvOptions(rho, ft)
+    );
+
+    fvOptions.constrain(ftEqn);
+
+    ftEqn.solve();
+
+    fvOptions.correct(ft);
+}

applications/solvers/combustion/XiFoam/pEqn.H

@@ -0,0 +1,90 @@
+rho = thermo.rho();
+
+volScalarField rAU(1.0/UEqn.A());
+surfaceScalarField rhorAUf("rhorAUf", fvc::interpolate(rho*rAU));
+
+volVectorField HbyA("HbyA", U);
+HbyA = rAU*UEqn.H();
+
+if (pimple.transonic())
+{
+    surfaceScalarField phid
+    (
+        "phid",
+        fvc::interpolate(psi)
+       *(
+            (fvc::interpolate(rho*HbyA) & mesh.Sf())
+          + rhorAUf*fvc::ddtCorr(rho, U, phi)
+        )/fvc::interpolate(rho)
+    );
+
+    fvOptions.makeRelative(fvc::interpolate(psi), phid);
+
+    while (pimple.correctNonOrthogonal())
+    {
+        fvScalarMatrix pEqn
+        (
+            fvm::ddt(psi, p)
+          + fvm::div(phid, p)
+          - fvm::laplacian(rhorAUf, p)
+         ==
+            fvOptions(psi, p, rho.name())
+        );
+
+        fvOptions.constrain(pEqn);
+
+        pEqn.solve(mesh.solver(p.select(pimple.finalInnerIter())));
+
+        if (pimple.finalNonOrthogonalIter())
+        {
+            phi == pEqn.flux();
+        }
+    }
+}
+else
+{
+    surfaceScalarField phiHbyA
+    (
+        "phiHbyA",
+        (
+            (fvc::interpolate(rho*HbyA) & mesh.Sf())
+          + rhorAUf*fvc::ddtCorr(rho, U, phi)
+        )
+    );
+
+    fvOptions.makeRelative(phiHbyA);
+
+    while (pimple.correctNonOrthogonal())
+    {
+        fvScalarMatrix pEqn
+        (
+            fvm::ddt(psi, p)
+          + fvc::div(phiHbyA)
+          - fvm::laplacian(rhorAUf, p)
+         ==
+            fvOptions(psi, p, rho.name())
+        );
+
+        fvOptions.constrain(pEqn);
+
+        pEqn.solve(mesh.solver(p.select(pimple.finalInnerIter())));
+
+        if (pimple.finalNonOrthogonalIter())
+        {
+            phi = phiHbyA + pEqn.flux();
+        }
+    }
+}
+
+#include "rhoEqn.H"
+#include "compressibleContinuityErrs.H"
+
+U = HbyA - rAU*fvc::grad(p);
+U.correctBoundaryConditions();
+fvOptions.correct(U);
+K = 0.5*magSqr(U);
+
+if (thermo.dpdt())
+{
+    dpdt = fvc::ddt(p);
+}

applications/solvers/combustion/XiFoam/readCombustionProperties.H

@@ -0,0 +1,45 @@
+    Info<< "Reading combustion properties\n" << endl;
+
+    IOdictionary combustionProperties
+    (
+        IOobject
+        (
+            "combustionProperties",
+            runTime.constant(),
+            mesh,
+            IOobject::MUST_READ_IF_MODIFIED,
+            IOobject::NO_WRITE
+        )
+    );
+
+    word SuModel
+    (
+        combustionProperties.lookup("SuModel")
+    );
+
+    dimensionedScalar sigmaExt
+    (
+        combustionProperties.lookup("sigmaExt")
+    );
+
+    word XiModel
+    (
+        combustionProperties.lookup("XiModel")
+    );
+
+    dimensionedScalar XiCoef
+    (
+        combustionProperties.lookup("XiCoef")
+    );
+
+    dimensionedScalar XiShapeCoef
+    (
+        combustionProperties.lookup("XiShapeCoef")
+    );
+
+    dimensionedScalar uPrimeCoef
+    (
+        combustionProperties.lookup("uPrimeCoef")
+    );
+
+    ignition ign(combustionProperties, runTime, mesh);

applications/solvers/combustion/chemFoam/Make/files

@@ -0,0 +1,3 @@
+chemFoam.C
+
+EXE = $(FOAM_APPBIN)/chemFoam

applications/solvers/combustion/chemFoam/Make/options

@@ -0,0 +1,22 @@
+EXE_INC = \
+    -I$(LIB_SRC)/finiteVolume/lnInclude \
+    -I$(LIB_SRC)/turbulenceModels/compressible/turbulenceModel \
+    -I$(LIB_SRC)/thermophysicalModels/specie/lnInclude \
+    -I$(LIB_SRC)/thermophysicalModels/thermophysicalFunctions/lnInclude \
+    -I$(LIB_SRC)/thermophysicalModels/reactionThermo/lnInclude \
+    -I$(LIB_SRC)/thermophysicalModels/basic/lnInclude \
+    -I$(LIB_SRC)/thermophysicalModels/laminarFlameSpeed/lnInclude \
+    -I$(LIB_SRC)/ODE/lnInclude\
+    -I$(LIB_SRC)/thermophysicalModels/chemistryModel/lnInclude \
+
+
+EXE_LIBS = \
+    -lfiniteVolume \
+    -lcompressibleTurbulenceModel \
+    -lcompressibleRASModels \
+    -lreactionThermophysicalModels \
+    -lfluidThermophysicalModels \
+    -lchemistryModel \
+    -lODE \
+    -lthermophysicalFunctions \
+    -lspecie

applications/solvers/combustion/chemFoam/YEqn.H

@@ -0,0 +1,12 @@
+{
+    forAll(Y, specieI)
+    {
+        volScalarField& Yi = Y[specieI];
+
+        solve
+        (
+            fvm::ddt(rho, Yi) - chemistry.RR(specieI),
+            mesh.solver("Yi")
+        );
+    }
+}

applications/solvers/combustion/chemFoam/chemFoam.C

@@ -0,0 +1,90 @@
+/*---------------------------------------------------------------------------*\
+  =========                 |
+  \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox
+   \\    /   O peration     |
+    \\  /    A nd           | Copyright (C) 2011-2012 OpenFOAM Foundation
+     \\/     M anipulation  |
+-------------------------------------------------------------------------------
+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/>.
+
+Application
+    chemFoam
+
+Description
+    Solver for chemistry problems
+    - designed for use on single cell cases to provide comparison against
+      other chemistry solvers
+    - single cell mesh created on-the-fly
+    - fields created on the fly from the initial conditions
+
+\*---------------------------------------------------------------------------*/
+
+#include "fvCFD.H"
+#include "psiReactionThermo.H"
+#include "turbulenceModel.H"
+#include "psiChemistryModel.H"
+#include "chemistrySolver.H"
+#include "OFstream.H"
+#include "thermoPhysicsTypes.H"
+#include "basicMultiComponentMixture.H"
+#include "cellModeller.H"
+
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+int main(int argc, char *argv[])
+{
+    argList::noParallel();
+
+    #include "setRootCase.H"
+    #include "createTime.H"
+    #include "createSingleCellMesh.H"
+    #include "createFields.H"
+    #include "readInitialConditions.H"
+
+    // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+    Info<< "\nStarting time loop\n" << endl;
+
+    while (runTime.run())
+    {
+        #include "readControls.H"
+
+        #include "setDeltaT.H"
+
+        runTime++;
+        Info<< "Time = " << runTime.timeName() << nl << endl;
+
+        #include "solveChemistry.H"
+        #include "YEqn.H"
+        #include "hEqn.H"
+        #include "pEqn.H"
+
+        #include "output.H"
+
+        Info<< "ExecutionTime = " << runTime.elapsedCpuTime() << " s"
+            << "  ClockTime = " << runTime.elapsedClockTime() << " s"
+            << nl << endl;
+    }
+
+    Info << "Number of steps = " << runTime.timeIndex() << endl;
+    Info << "End" << nl << endl;
+
+    return(0);
+}
+
+
+// ************************************************************************* //

applications/solvers/combustion/chemFoam/createBaseFields.H

@@ -0,0 +1,57 @@
+// write base thermo fields - not registered since will be re-read by
+// thermo package
+
+Info<< "Creating base fields for time " << runTime.timeName() << endl;
+{
+    volScalarField Ydefault
+    (
+        IOobject
+        (
+            "Ydefault",
+            runTime.timeName(),
+            mesh,
+            IOobject::READ_IF_PRESENT,
+            IOobject::NO_WRITE,
+            false
+        ),
+        mesh,
+        dimensionedScalar("Ydefault", dimless, 1)
+    );
+
+    Ydefault.write();
+
+    volScalarField p
+    (
+        IOobject
+        (
+            "p",
+            runTime.timeName(),
+            mesh,
+            IOobject::READ_IF_PRESENT,
+            IOobject::NO_WRITE,
+            false
+        ),
+        mesh,
+        dimensionedScalar("p", dimPressure, p0)
+    );
+
+    p.write();
+
+    volScalarField T
+    (
+        IOobject
+        (
+            "T",
+            runTime.timeName(),
+            mesh,
+            IOobject::READ_IF_PRESENT,
+            IOobject::NO_WRITE,
+            false
+        ),
+        mesh,
+        dimensionedScalar("T", dimTemperature, T0)
+    );
+
+    T.write();
+}
+

applications/solvers/combustion/chemFoam/createFields.H

@@ -0,0 +1,105 @@
+    if (mesh.nCells() != 1)
+    {
+        FatalErrorIn(args.executable())
+            << "Solver only applicable to single cell cases"
+            << exit(FatalError);
+    }
+
+    Info<< "Reading initial conditions.\n" << endl;
+    IOdictionary initialConditions
+    (
+        IOobject
+        (
+            "initialConditions",
+            runTime.constant(),
+            runTime,
+            IOobject::MUST_READ_IF_MODIFIED,
+            IOobject::NO_WRITE
+        )
+    );
+
+    scalar p0 = readScalar(initialConditions.lookup("p"));
+    scalar T0 = readScalar(initialConditions.lookup("T"));
+
+    #include "createBaseFields.H"
+
+    Info<< nl << "Reading thermophysicalProperties" << endl;
+    autoPtr<psiChemistryModel> pChemistry(psiChemistryModel::New(mesh));
+
+    psiChemistryModel& chemistry = pChemistry();
+    scalar dtChem = refCast<const psiChemistryModel>(chemistry).deltaTChem()[0];
+
+    psiReactionThermo& thermo = chemistry.thermo();
+    thermo.validate(args.executable(), "h");
+
+    basicMultiComponentMixture& composition = thermo.composition();
+    PtrList<volScalarField>& Y = composition.Y();
+
+    volScalarField rho
+    (
+        IOobject
+        (
+            "rho",
+            runTime.timeName(),
+            runTime,
+            IOobject::NO_READ,
+            IOobject::AUTO_WRITE
+        ),
+        thermo.rho()
+    );
+
+    volScalarField& p = thermo.p();
+
+    volScalarField Rspecific
+    (
+        IOobject
+        (
+            "Rspecific",
+            runTime.timeName(),
+            runTime,
+            IOobject::NO_READ,
+            IOobject::AUTO_WRITE
+        ),
+        mesh,
+        dimensionedScalar
+        (
+            "zero",
+            dimensionSet(dimEnergy/dimMass/dimTemperature),
+            0.0
+        )
+    );
+
+    volVectorField U
+    (
+        IOobject
+        (
+            "U",
+            runTime.timeName(),
+            runTime,
+            IOobject::NO_READ,
+            IOobject::NO_WRITE
+        ),
+        mesh,
+        dimensionedVector("zero", dimVelocity, vector::zero),
+        p.boundaryField().types()
+    );
+
+    #include "createPhi.H"
+
+    Info << "Creating turbulence model.\n" << endl;
+    autoPtr<compressible::turbulenceModel> turbulence
+    (
+        compressible::turbulenceModel::New
+        (
+            rho,
+            U,
+            phi,
+            thermo
+        )
+    );
+
+    OFstream post(args.path()/"chemFoam.out");
+    post<< "# Time" << token::TAB << "Temperature [K]" << token::TAB
+        << "Pressure [Pa]" << endl;
+
+

applications/solvers/combustion/chemFoam/createSingleCellMesh.H

@@ -0,0 +1,46 @@
+Info<< "Constructing single cell mesh" << nl << endl;
+
+labelList owner(6, label(0));
+labelList neighbour(0);
+
+pointField points(8);
+points[0] = vector(0, 0, 0);
+points[1] = vector(1, 0, 0);
+points[2] = vector(1, 1, 0);
+points[3] = vector(0, 1, 0);
+points[4] = vector(0, 0, 1);
+points[5] = vector(1, 0, 1);
+points[6] = vector(1, 1, 1);
+points[7] = vector(0, 1, 1);
+
+const cellModel& hexa = *(cellModeller::lookup("hex"));
+faceList faces = hexa.modelFaces();
+
+fvMesh mesh
+(
+    IOobject
+    (
+        fvMesh::defaultRegion,
+        runTime.timeName(),
+        runTime,
+        IOobject::READ_IF_PRESENT
+    ),
+    xferMove<Field<vector> >(points),
+    faces.xfer(),
+    owner.xfer(),
+    neighbour.xfer()
+);
+
+List<polyPatch*> patches(1);
+
+patches[0] = new emptyPolyPatch
+(
+    "boundary",
+    6,
+    0,
+    0,
+    mesh.boundaryMesh(),
+    emptyPolyPatch::typeName
+);
+
+mesh.addFvPatches(patches);

applications/solvers/combustion/chemFoam/hEqn.H

@@ -0,0 +1,14 @@
+{
+    volScalarField& h = thermo.he();
+
+    if (constProp == "volume")
+    {
+        h[0] = u0 + p[0]/rho[0] + integratedHeat;
+    }
+    else
+    {
+        h[0] = h0 + integratedHeat;
+    }
+
+    thermo.correct();
+}

applications/solvers/combustion/chemFoam/output.H

@@ -0,0 +1,11 @@
+    runTime.write();
+
+    Info<< "Sh = " << Sh
+        << ", T = " << thermo.T()[0]
+        << ", p = " << thermo.p()[0]
+        << ", " << Y[0].name() << " = " << Y[0][0]
+        << endl;
+
+    post<< runTime.value() << token::TAB << thermo.T()[0] << token::TAB
+        << thermo.p()[0] << endl;
+

applications/solvers/combustion/chemFoam/pEqn.H

@@ -0,0 +1,16 @@
+{
+    rho = thermo.rho();
+    if (constProp == "volume")
+    {
+        scalar invW = 0.0;
+        forAll(Y, i)
+        {
+            invW += Y[i][0]/specieData[i].W();
+        }
+
+        Rspecific[0] = 1000.0*constant::physicoChemical::R.value()*invW;
+
+        p[0] = rho0*Rspecific[0]*thermo.T()[0];
+        rho[0] = rho0;
+    }
+}

applications/solvers/combustion/chemFoam/readControls.H

@@ -0,0 +1,8 @@
+    if (runTime.controlDict().lookupOrDefault("suppressSolverInfo", false))
+    {
+        lduMatrix::debug = 0;
+    }
+
+    Switch adjustTimeStep(runTime.controlDict().lookup("adjustTimeStep"));
+
+    scalar maxDeltaT(readScalar(runTime.controlDict().lookup("maxDeltaT")));