Add the OpenFOAM source tree

tutorials/compressible/rhoCentralFoam/LadenburgJet60psi/0.org/T

@@ -0,0 +1,56 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    object      T;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 0 0 1 0 0 0];
+
+internalField   uniform 298.0;
+
+boundaryField
+{
+    inlet
+    {
+        type            fixedValue;
+        value           uniform 247.1;
+    }
+
+    outlet
+    {
+        type            zeroGradient;
+    }
+
+    freestream
+    {
+        type            totalTemperature;
+        value           uniform 297;
+        T0              uniform 297;
+        U               U;
+        phi             phi;
+        rho             none;
+        psi             thermo:psi;
+        gamma           1.4;
+    }
+
+    freestreamInlet
+    {
+        type            fixedValue;
+        value           uniform 297.0;
+    }
+
+    wedge1 {type wedge;}
+    wedge2 {type wedge;}
+}
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/LadenburgJet60psi/0.org/U

@@ -0,0 +1,51 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volVectorField;
+    object      U;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 1 -1 0 0 0 0];
+
+internalField   uniform (0 0 0);
+
+boundaryField
+{
+    inlet
+    {
+        type            fixedValue;
+        value           uniform (315.6 0 0);
+    }
+
+    outlet
+    {
+        type            inletOutlet;
+        inletValue      uniform (0 0 0);
+        value           uniform (0 0 0);
+    }
+
+    freestream
+    {
+        type            zeroGradient;
+    }
+
+    freestreamInlet
+    {
+        type            fixedValue;
+        value           uniform (0 0 0);
+    }
+
+    wedge1 {type wedge;}
+    wedge2 {type wedge;}
+}
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/LadenburgJet60psi/0.org/p

@@ -0,0 +1,63 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    object      p;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [1 -1 -2 0 0 0 0];
+
+internalField   uniform 101325;
+
+boundaryField
+{
+    inlet
+    {
+        type            fixedValue;
+        value           uniform 271724;
+    }
+
+    outlet
+    {
+        type            waveTransmissive;
+        field           p;
+        phi             phi;
+        rho             rho;
+        psi             thermo:psi;
+        fieldInf        101325;
+        gamma           1.4;
+        lInf            0.025;
+        value           uniform 101325;
+    }
+
+    freestream
+    {
+        type            totalPressure;
+        value           uniform 101325;
+        p0              uniform 101325;
+        U               U;
+        phi             phi;
+        rho             none;
+        psi             thermo:psi;
+        gamma           1.4;
+    }
+
+    freestreamInlet
+    {
+        type            zeroGradient;
+    }
+
+    wedge1 {type wedge;}
+    wedge2 {type wedge;}
+}
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/LadenburgJet60psi/README

@@ -0,0 +1,2 @@
+- The time 0 solution is a fairly well-converged solution to this simulation
+- The endTime is short for testing purposes

tutorials/compressible/rhoCentralFoam/LadenburgJet60psi/constant/polyMesh/blockMeshDict

@@ -0,0 +1,107 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    object      blockMeshDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+convertToMeters 0.001;
+
+vertices
+(
+    ( 0 0 0)
+    (30 0 0)
+    ( 0  5 -0.008726655121)
+    (30  5 -0.008726655121)
+    ( 0 10 -0.017453310242)
+    (30 10 -0.017453310242)
+    ( 0  5  0.008726655121)
+    (30  5  0.008726655121)
+    ( 0 10  0.017453310242)
+    (30 10  0.017453310242)
+);
+
+blocks
+(
+    hex (0 1 3 2 0 1 7 6) (60 10  1) simpleGrading (1 1 1)
+    hex (2 3 5 4 6 7 9 8) (60 10  1) simpleGrading (1 1 1)
+);
+
+edges
+(
+);
+
+boundary
+(
+    inlet
+    {
+        type patch;
+        faces
+        (
+            (0 2 6 0)
+        );
+    }
+
+    outlet
+    {
+        type patch;
+        faces
+        (
+            (1 3 7 1)
+            (3 5 9 7)
+        );
+    }
+
+    freestreamInlet
+    {
+        type patch;
+        faces
+        (
+            (2 4 8 6)
+        );
+    }
+
+    freestream
+    {
+        type patch;
+        faces
+        (
+            (4 8 9 5)
+        );
+    }
+
+    wedge1
+    {
+        type wedge;
+        faces
+        (
+            (0 2 3 1)
+            (2 4 5 3)
+        );
+    }
+
+    wedge2
+    {
+        type wedge;
+        faces
+        (
+            (0 1 7 6)
+            (6 7 9 8)
+        );
+    }
+);
+
+mergePatchPairs
+(
+);
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/LadenburgJet60psi/constant/polyMesh/boundary

@@ -0,0 +1,64 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       polyBoundaryMesh;
+    location    "constant/polyMesh";
+    object      boundary;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+7
+(
+    inlet
+    {
+        type            patch;
+        nFaces          10;
+        startFace       2320;
+    }
+    outlet
+    {
+        type            patch;
+        nFaces          20;
+        startFace       2330;
+    }
+    freestreamInlet
+    {
+        type            patch;
+        nFaces          10;
+        startFace       2350;
+    }
+    freestream
+    {
+        type            patch;
+        nFaces          60;
+        startFace       2360;
+    }
+    wedge1
+    {
+        type            wedge;
+        nFaces          1200;
+        startFace       2420;
+    }
+    wedge2
+    {
+        type            wedge;
+        nFaces          1200;
+        startFace       3620;
+    }
+    defaultFaces
+    {
+        type            empty;
+        nFaces          0;
+        startFace       4820;
+    }
+)
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/LadenburgJet60psi/constant/thermophysicalProperties

@@ -0,0 +1,50 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "constant";
+    object      thermophysicalProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+thermoType
+{
+    type            hePsiThermo;
+    mixture         pureMixture;
+    transport       sutherland;
+    thermo          hConst;
+    equationOfState perfectGas;
+    specie          specie;
+    energy          sensibleInternalEnergy;
+}
+
+mixture
+{
+    specie
+    {
+        nMoles          1;
+        molWeight       28.96;
+    }
+    thermodynamics
+    {
+        Cp              1004.5;
+        Hf              0;
+    }
+    transport
+    {
+        As              1.458e-06;
+        Ts              110.4;
+        Pr              1;
+    }
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/LadenburgJet60psi/constant/turbulenceProperties

@@ -0,0 +1,21 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "constant";
+    object      turbulenceProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+simulationType  laminar;
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/LadenburgJet60psi/system/controlDict

@@ -0,0 +1,53 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      controlDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+application     rhoCentralFoam;
+
+startFrom       latestTime;
+
+startTime       0;
+
+stopAt          endTime;
+
+endTime         2e-05;
+
+deltaT          1e-10;
+
+writeControl    adjustableRunTime;
+
+writeInterval   2e-05;
+
+cycleWrite      0;
+
+writeFormat     ascii;
+
+writePrecision  15;
+
+writeCompression off;
+
+timeFormat      general;
+
+timePrecision   6;
+
+adjustTimeStep  yes;
+
+maxCo           0.5;
+
+maxDeltaT       1;
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/LadenburgJet60psi/system/decomposeParDict

@@ -0,0 +1,45 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      decomposeParDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+numberOfSubdomains 8;
+
+method          simple;
+
+simpleCoeffs
+{
+    n               ( 8 1 1 );
+    delta           0.001;
+}
+
+hierarchicalCoeffs
+{
+    n               ( 1 1 1 );
+    delta           0.001;
+    order           xyz;
+}
+
+manualCoeffs
+{
+    dataFile        "";
+}
+
+distributed     no;
+
+roots           ( );
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/LadenburgJet60psi/system/fvSchemes

@@ -0,0 +1,55 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      fvSchemes;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+fluxScheme      Kurganov;
+
+ddtSchemes
+{
+    default         Euler;
+}
+
+gradSchemes
+{
+    default         Gauss linear;
+}
+
+divSchemes
+{
+    default         none;
+    div(tauMC)      Gauss linear;
+}
+
+laplacianSchemes
+{
+    default         Gauss linear corrected;
+}
+
+interpolationSchemes
+{
+    default         linear;
+    reconstruct(rho) vanLeer;
+    reconstruct(U)  vanLeerV;
+    reconstruct(T)  vanLeer;
+}
+
+snGradSchemes
+{
+    default         corrected;
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/LadenburgJet60psi/system/fvSolution

@@ -0,0 +1,43 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      fvSolution;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+solvers
+{
+    "(rho|rhoU|rhoE)"
+    {
+        solver          diagonal;
+    }
+
+    U
+    {
+        solver          smoothSolver;
+        smoother        GaussSeidel;
+        nSweeps         2;
+        tolerance       1e-10;
+        relTol          0;
+    }
+
+    e
+    {
+        $U;
+        tolerance       1e-10;
+        relTol          0;
+    }
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/LadenburgJet60psi/system/mapFieldsDict

@@ -0,0 +1,23 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      mapFieldsDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+patchMap        ( );
+
+cuttingPatches  ( );
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/LadenburgJet60psi/system/sampleDict

@@ -0,0 +1,53 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      sampleDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+interpolationScheme cellPointFace;
+
+writeFormat     raw;
+
+sampleSets
+(
+    face
+    {
+        name    cone25;
+        axis    x;
+        start   ( 0 0 0 );
+        end     ( 0.09208087 0.042939 0 );
+        nPoints 92;
+    }
+    face
+    {
+        name    cone55;
+        axis    x;
+        start   ( 0.09208087 0.042939 0 );
+        end     ( 0.153683 0.13092 0 );
+        nPoints 61;
+    }
+    face
+    {
+        name    base;
+        axis    x;
+        start   ( 0.153683 0.13092 0 );
+        end     ( 0.193675 0.13092 0 );
+        nPoints 40;
+    }
+);
+
+fields          ( p wallHeatTransRate );
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/biconic25-55Run35/Allclean

@@ -0,0 +1,11 @@
+#!/bin/sh
+cd ${0%/*} || exit 1    # run from this directory
+
+# Source tutorial clean functions
+. $WM_PROJECT_DIR/bin/tools/CleanFunctions
+
+cleanCase
+cleanSamples
+rm -rf constant/polyMesh/boundary
+
+# ----------------------------------------------------------------- end-of-file

tutorials/compressible/rhoCentralFoam/biconic25-55Run35/Allrun

@@ -0,0 +1,34 @@
+#!/bin/sh
+cd ${0%/*} || exit 1    # run from this directory
+
+# Source tutorial run functions
+. $WM_PROJECT_DIR/bin/tools/RunFunctions
+
+#moveTimeMeshToConstant()
+#{
+#   DT=`foamInfoExec -times | tail -1`
+#   if [ "$DT" != 0 ]
+#   then
+#       mv ${DT}/polyMesh/* constant/polyMesh
+#       rm -rf ${DT}
+#   fi
+#}
+
+runApplication blockMesh
+
+runApplication datToFoam grid256.dat
+
+CONST="constant"
+cat $CONST/pointsHeader $CONST/points.tmp > $CONST/polyMesh/points
+runApplication collapseEdges -overwrite
+#moveTimeMeshToConstant
+
+echo "Changing patch type to wedge type in boundary file"
+mv $CONST/polyMesh/boundary $CONST/polyMesh/boundary.bak
+sed -f $CONST/wedgeScr $CONST/polyMesh/boundary.bak > $CONST/polyMesh/boundary
+rm $CONST/polyMesh/boundary.bak
+
+runApplication `getApplication`
+
+
+# ----------------------------------------------------------------- end-of-file

tutorials/compressible/rhoCentralFoam/biconic25-55Run35/README

@@ -0,0 +1,2 @@
+- The time 0 solution is a fairly well-converged solution to this simulation
+- The endTime is short for testing purposes

tutorials/compressible/rhoCentralFoam/biconic25-55Run35/constant/pointsHeader

@@ -0,0 +1,14 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       vectorField;
+    object      points;
+}

tutorials/compressible/rhoCentralFoam/biconic25-55Run35/constant/polyMesh/blockMeshDict

@@ -0,0 +1,101 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    object      blockMeshDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+convertToMeters 0.1;
+
+vertices
+(
+    (0 0 0)
+    (1 0 0)
+    (1 1 0)
+    (0 1 0)
+    (0 0 0.1)
+    (1 0 0.1)
+    (1 1 0.1)
+    (0 1 0.1)
+);
+
+blocks
+(
+    hex (0 1 2 3 4 5 6 7) (255 127  1) simpleGrading (1 1 1)
+);
+
+edges
+(
+);
+
+boundary
+(
+    cone
+    {
+        type patch;
+        faces
+        (
+            (1 5 4 0)
+        );
+    }
+
+    outlet
+    {
+        type patch;
+        faces
+        (
+            (2 6 5 1)
+        );
+    }
+
+    freestream
+    {
+        type patch;
+        faces
+        (
+            (3 7 6 2)
+        );
+    }
+
+    centreLeft
+    {
+        type symmetry;
+        faces
+        (
+            (0 4 7 3)
+        );
+    }
+
+    wedge1
+    {
+        type patch;
+        faces
+        (
+            (0 3 2 1)
+        );
+    }
+
+    wedge2
+    {
+        type patch;
+        faces
+        (
+            (4 5 6 7)
+        );
+    }
+);
+
+mergePatchPairs
+(
+);
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/biconic25-55Run35/constant/thermophysicalProperties

@@ -0,0 +1,53 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "constant";
+    object      thermophysicalProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+thermoType
+{
+    type            hePsiThermo;
+    mixture         pureMixture;
+    transport       sutherland;
+    thermo          janaf;
+    equationOfState perfectGas;
+    specie          specie;
+    energy          sensibleInternalEnergy;
+}
+
+mixture
+{
+    specie
+    {
+        nMoles          1;
+        molWeight       28.01348;
+    }
+    thermodynamics
+    {
+        Tlow            100;
+        Thigh           10000;
+        Tcommon         1000;
+        highCpCoeffs    ( 2.9525407 0.0013968838 -4.9262577e-07 7.8600091e-11 -4.6074978e-15 -923.93753 5.8718221 );
+        lowCpCoeffs     ( 3.5309628 -0.0001236595 -5.0299339e-07 2.4352768e-09 -1.4087954e-12 -1046.9637 2.9674391 );
+    }
+    transport
+    {
+        As              1.458e-06;
+        Ts              110;
+        Pr              0.72;
+    }
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/biconic25-55Run35/constant/turbulenceProperties

@@ -0,0 +1,21 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "constant";
+    object      turbulenceProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+simulationType  laminar;
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/biconic25-55Run35/constant/wedgeScr

@@ -0,0 +1,6 @@
+/wedge1/,/nFaces/{
+s/patch/wedge/
+}
+/wedge2/,/nFaces/{
+s/patch/wedge/
+}

tutorials/compressible/rhoCentralFoam/biconic25-55Run35/sampleCone

@@ -0,0 +1,56 @@
+#!/bin/sh
+cd ${0%/*} || exit 1    # run from this directory
+
+#
+# FUNCTIONS
+#
+usage()
+{
+    while [ "$#" -ge 1 ]; do echo "$1"; shift; done
+
+    cat<<USAGE
+Usage: ${0##*/} [OPTION]
+
+options:
+  -l         -latestTime option for sample
+  -h         help
+
+Runs a set of samples across the cone face and concatenates output files
+USAGE
+    exit 1
+}
+
+# -----------------------------------------------------------------------------
+
+unset timeOpt
+
+# parse options
+while [ "$#" -gt 0 ]
+do
+    case "$1" in
+    -h | -help)
+        usage
+        ;;
+    -l | -latestTime)
+        timeOpt="-latestTime"
+        shift
+        ;;
+    *)
+        usage "unknown option/argument: '$*'"
+        ;;
+    esac
+done
+
+
+sample $timeOpt
+SDIR=sets
+LSDIR=`ls $SDIR | head -1`
+EXAMPLE_FILE=`ls -1 $SDIR/${LSDIR}/* | head -1`
+FS=`basename $EXAMPLE_FILE | cut -d_ -f2-`
+
+for d in $SDIR/*
+do
+    cat ${d}/cone25_${FS} ${d}/cone55_${FS} ${d}/base_${FS} > ${d}/biconic_${FS}
+done
+
+# ----------------------------------------------------------------- end-of-file

tutorials/compressible/rhoCentralFoam/biconic25-55Run35/system/collapseDict

@@ -0,0 +1,28 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    object      collapseDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+collapseEdgesCoeffs
+{
+    // Edges shorter than this absolute value will be merged
+    minimumEdgeLength   2e-7;
+
+    // The maximum angle between two edges that share a point attached to
+    // no other edges
+    maximumMergeAngle   5;
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/biconic25-55Run35/system/controlDict

@@ -0,0 +1,53 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      controlDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+application     rhoCentralFoam;
+
+startFrom       latestTime;
+
+startTime       0.005;
+
+stopAt          endTime;
+
+endTime         1e-07;
+
+deltaT          1e-10;
+
+writeControl    adjustableRunTime;
+
+writeInterval   1e-07;
+
+cycleWrite      0;
+
+writeFormat     ascii;
+
+writePrecision  15;
+
+writeCompression off;
+
+timeFormat      general;
+
+timePrecision   6;
+
+adjustTimeStep  yes;
+
+maxCo           0.3;
+
+maxDeltaT       1;
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/biconic25-55Run35/system/fvSchemes

@@ -0,0 +1,55 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      fvSchemes;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+fluxScheme      Kurganov;
+
+ddtSchemes
+{
+    default         Euler;
+}
+
+gradSchemes
+{
+    default         Gauss linear;
+}
+
+divSchemes
+{
+    default         none;
+    div(tauMC)      Gauss linear;
+}
+
+laplacianSchemes
+{
+    default         Gauss linear corrected;
+}
+
+interpolationSchemes
+{
+    default         linear;
+    reconstruct(rho) vanLeer;
+    reconstruct(U)  vanLeerV;
+    reconstruct(T)  vanLeer;
+}
+
+snGradSchemes
+{
+    default         corrected;
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/biconic25-55Run35/system/fvSolution

@@ -0,0 +1,42 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      fvSolution;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+solvers
+{
+    "(rho|rhoU|rhoE)"
+    {
+        solver          diagonal;
+    }
+
+    U
+    {
+        solver          smoothSolver;
+        smoother        GaussSeidel;
+        nSweeps         2;
+        tolerance       1e-09;
+        relTol          0.01;
+    }
+
+    e
+    {
+        $U;
+        relTol          0.1;
+    }
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/biconic25-55Run35/system/sampleDict

@@ -0,0 +1,53 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      sampleDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+interpolationScheme cellPointFace;
+
+setFormat       raw;
+
+sets
+(
+    cone25
+    {
+        type    face;
+        axis    x;
+        start   ( 0 0 0 );
+        end     ( 0.09208087 0.042939 0 );
+        nPoints 92;
+    }
+    cone55
+    {
+        type    face;
+        axis    x;
+        start   ( 0.09208087 0.042939 0 );
+        end     ( 0.153683 0.13092 0 );
+        nPoints 61;
+    }
+    base
+    {
+        type    face;
+        axis    x;
+        start   ( 0.153683 0.13092 0 );
+        end     ( 0.193675 0.13092 0 );
+        nPoints 40;
+    }
+);
+
+fields          ( p wallHeatTransRate );
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/forwardStep/0/T

@@ -0,0 +1,57 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    object      T;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 0 0 1 0 0 0];
+
+internalField   uniform 1;
+
+boundaryField
+{
+    inlet
+    {
+        type            fixedValue;
+        value           uniform 1;
+    }
+
+    outlet
+    {
+        type            inletOutlet;
+        inletValue      uniform 1;
+        value           uniform 1;
+    }
+
+    bottom
+    {
+        type            symmetryPlane;
+    }
+
+    top
+    {
+        type            symmetryPlane;
+    }
+
+    obstacle
+    {
+        type            zeroGradient;
+    }
+
+    defaultFaces
+    {
+        type            empty;
+    }
+}
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/forwardStep/0/U

@@ -0,0 +1,57 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volVectorField;
+    object      U;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 1 -1 0 0 0 0];
+
+internalField   uniform (3 0 0);
+
+boundaryField
+{
+    inlet
+    {
+        type            fixedValue;
+        value           uniform (3 0 0);
+    }
+
+    outlet
+    {
+        type            inletOutlet;
+        inletValue      uniform (3 0 0);
+        value           uniform (3 0 0);
+    }
+
+    bottom
+    {
+        type            symmetryPlane;
+    }
+
+    top
+    {
+        type            symmetryPlane;
+    }
+
+    obstacle
+    {
+        type            slip;
+    }
+
+    defaultFaces
+    {
+        type            empty;
+    }
+}
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/forwardStep/0/p

@@ -0,0 +1,55 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    object      p;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [1 -1 -2 0 0 0 0];
+
+internalField   uniform 1;
+
+boundaryField
+{
+    inlet
+    {
+        type            fixedValue;
+        value           uniform 1;
+    }
+
+    outlet
+    {
+        type            zeroGradient;
+    }
+
+    bottom
+    {
+        type            symmetryPlane;
+    }
+
+    top
+    {
+        type            symmetryPlane;
+    }
+
+    obstacle
+    {
+        type            zeroGradient;
+    }
+
+    defaultFaces
+    {
+        type            empty;
+    }
+}
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/forwardStep/constant/polyMesh/blockMeshDict

@@ -0,0 +1,101 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    object      blockMeshDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+convertToMeters 1;
+
+vertices
+(
+    (0 0 -0.05)
+    (0.6 0 -0.05)
+    (0 0.2 -0.05)
+    (0.6 0.2 -0.05)
+    (3 0.2 -0.05)
+    (0 1 -0.05)
+    (0.6 1 -0.05)
+    (3 1 -0.05)
+    (0 0 0.05)
+    (0.6 0 0.05)
+    (0 0.2 0.05)
+    (0.6 0.2 0.05)
+    (3 0.2 0.05)
+    (0 1 0.05)
+    (0.6 1 0.05)
+    (3 1 0.05)
+);
+
+blocks
+(
+    hex (0 1 3 2 8 9 11 10) (48 16 1) simpleGrading (1 1 1)
+    hex (2 3 6 5 10 11 14 13) (48 64 1) simpleGrading (1 1 1)
+    hex (3 4 7 6 11 12 15 14) (192 64 1) simpleGrading (1 1 1)
+);
+
+edges
+(
+);
+
+boundary
+(
+    inlet
+    {
+        type patch;
+        faces
+        (
+            (0 8 10 2)
+            (2 10 13 5)
+        );
+    }
+    outlet
+    {
+        type patch;
+        faces
+        (
+            (4 7 15 12)
+        );
+    }
+    bottom
+    {
+        type symmetryPlane;
+        faces
+        (
+            (0 1 9 8)
+        );
+    }
+    top
+    {
+        type symmetryPlane;
+        faces
+        (
+            (5 13 14 6)
+            (6 14 15 7)
+        );
+    }
+    obstacle
+    {
+        type patch;
+        faces
+        (
+            (1 3 11 9)
+            (3 4 12 11)
+        );
+    }
+);
+
+mergePatchPairs
+(
+);
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/forwardStep/constant/thermophysicalProperties

@@ -0,0 +1,52 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "constant";
+    object      thermophysicalProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+thermoType
+{
+    type            hePsiThermo;
+    mixture         pureMixture;
+    transport       const;
+    thermo          hConst;
+    equationOfState perfectGas;
+    specie          specie;
+    energy          sensibleInternalEnergy;
+}
+
+// Note: these are the properties for a "normalised" inviscid gas
+//       for which the speed of sound is 1 m/s at a temperature of 1K
+//       and gamma = 7/5
+mixture
+{
+    specie
+    {
+        nMoles          1;
+        molWeight       11640.3;
+    }
+    thermodynamics
+    {
+        Cp              2.5;
+        Hf              0;
+    }
+    transport
+    {
+        mu              0;
+        Pr              1;
+    }
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/forwardStep/constant/turbulenceProperties

@@ -0,0 +1,21 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "constant";
+    object      turbulenceProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+simulationType  laminar;
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/forwardStep/system/controlDict

@@ -0,0 +1,55 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      controlDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+application     rhoCentralFoam;
+
+startFrom       startTime;
+
+startTime       0;
+
+stopAt          endTime;
+
+endTime         4;
+
+deltaT          0.002;
+
+writeControl    adjustableRunTime;
+
+writeInterval   0.1;
+
+purgeWrite      0;
+
+writeFormat     ascii;
+
+writePrecision  6;
+
+writeCompression off;
+
+timeFormat      general;
+
+timePrecision   6;
+
+runTimeModifiable true;
+
+adjustTimeStep  yes;
+
+maxCo           0.2;
+
+maxDeltaT       1;
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/forwardStep/system/fvSchemes

@@ -0,0 +1,55 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      fvSchemes;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+fluxScheme      Kurganov;
+
+ddtSchemes
+{
+    default         Euler;
+}
+
+gradSchemes
+{
+    default         Gauss linear;
+}
+
+divSchemes
+{
+    default         none;
+    div(tauMC)      Gauss linear;
+}
+
+laplacianSchemes
+{
+    default         Gauss linear corrected;
+}
+
+interpolationSchemes
+{
+    default         linear;
+    reconstruct(rho) vanLeer;
+    reconstruct(U)  vanLeerV;
+    reconstruct(T)  vanLeer;
+}
+
+snGradSchemes
+{
+    default         corrected;
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/forwardStep/system/fvSolution

@@ -0,0 +1,43 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      fvSolution;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+solvers
+{
+    "(rho|rhoU|rhoE)"
+    {
+        solver          diagonal;
+    }
+
+    U
+    {
+        solver          smoothSolver;
+        smoother        GaussSeidel;
+        nSweeps         2;
+        tolerance       1e-09;
+        relTol          0.01;
+    }
+
+    h
+    {
+        $U;
+        tolerance       1e-10;
+        relTol          0;
+    }
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/obliqueShock/0/T

@@ -0,0 +1,51 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    object      T;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 0 0 1 0 0 0];
+
+internalField   uniform 1;
+
+boundaryField
+{
+    top
+    {
+        type            fixedValue;
+        value           uniform 1.25853;
+    }
+
+    inlet
+    {
+        type            fixedValue;
+        value           uniform 1;
+    }
+
+    outlet
+    {
+        type            zeroGradient;
+    }
+
+    bottom
+    {
+        type            symmetryPlane;
+    }
+
+    frontAndBack
+    {
+        type            empty;
+    }
+}
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/obliqueShock/0/U

@@ -0,0 +1,51 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volVectorField;
+    object      U;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 1 -1 0 0 0 0];
+
+internalField   uniform (2.9 0 0);
+
+boundaryField
+{
+    top
+    {
+        type            fixedValue;
+        value           uniform (2.61933 -0.50632 0);
+    }
+
+    inlet
+    {
+        type            fixedValue;
+        value           uniform (2.9 0 0);
+    }
+
+    outlet
+    {
+        type            zeroGradient;
+    }
+
+    bottom
+    {
+        type            symmetryPlane;
+    }
+
+    frontAndBack
+    {
+        type            empty;
+    }
+}
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/obliqueShock/0/p

@@ -0,0 +1,50 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    object      p;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [1 -1 -2 0 0 0 0];
+
+internalField   uniform 1;
+
+boundaryField
+{
+    top
+    {
+        type            zeroGradient;
+    }
+
+    inlet
+    {
+        type            fixedValue;
+        value           uniform 1;
+    }
+
+    outlet
+    {
+        type            zeroGradient;
+    }
+
+    bottom
+    {
+        type            symmetryPlane;
+    }
+
+    frontAndBack
+    {
+        type            empty;
+    }
+}
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/obliqueShock/constant/polyMesh/blockMeshDict

@@ -0,0 +1,89 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    object      blockMeshDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+convertToMeters 1;
+
+vertices
+(
+    (0 0 0)
+    (4.1 0 0)
+    (4.1 1 0)
+    (0 1 0)
+    (0 0 0.1)
+    (4.1 0 0.1)
+    (4.1 1 0.1)
+    (0 1 0.1)
+);
+
+blocks
+(
+    hex (0 1 2 3 4 5 6 7) (60 30 1) simpleGrading (1 1 1)
+);
+
+edges
+(
+);
+
+boundary
+(
+    top
+    {
+        type wall;
+        faces
+        (
+            (3 7 6 2)
+        );
+    }
+    inlet
+    {
+        type patch;
+        faces
+        (
+            (0 4 7 3)
+        );
+    }
+    outlet
+    {
+        type patch;
+        faces
+        (
+            (2 6 5 1)
+        );
+    }
+    bottom
+    {
+        type symmetryPlane;
+        faces
+        (
+            (1 5 4 0)
+        );
+    }
+    frontAndBack
+    {
+        type empty;
+        faces
+        (
+            (0 3 2 1)
+            (4 5 6 7)
+        );
+    }
+);
+
+mergePatchPairs
+(
+);
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/obliqueShock/constant/polyMesh/boundary

@@ -0,0 +1,52 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       polyBoundaryMesh;
+    location    "constant/polyMesh";
+    object      boundary;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+5
+(
+    top
+    {
+        type            wall;
+        nFaces          60;
+        startFace       3510;
+    }
+    inlet
+    {
+        type            patch;
+        nFaces          30;
+        startFace       3570;
+    }
+    outlet
+    {
+        type            patch;
+        nFaces          30;
+        startFace       3600;
+    }
+    bottom
+    {
+        type            symmetryPlane;
+        nFaces          60;
+        startFace       3630;
+    }
+    frontAndBack
+    {
+        type            empty;
+        nFaces          3600;
+        startFace       3690;
+    }
+)
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/obliqueShock/constant/thermophysicalProperties

@@ -0,0 +1,50 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "constant";
+    object      thermophysicalProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+thermoType
+{
+    type            hePsiThermo;
+    mixture         pureMixture;
+    transport       const;
+    thermo          hConst;
+    equationOfState perfectGas;
+    specie          specie;
+    energy          sensibleInternalEnergy;
+}
+
+mixture
+{
+    // normalised gas
+    specie
+    {
+        nMoles          1;
+        molWeight       11640.3;
+    }
+    thermodynamics
+    {
+        Cp              2.5;
+        Hf              0;
+    }
+    transport
+    {
+        mu              0;
+        Pr              1;
+    }
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/obliqueShock/constant/turbulenceProperties

@@ -0,0 +1,21 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "constant";
+    object      turbulenceProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+simulationType  laminar;
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/obliqueShock/system/controlDict

@@ -0,0 +1,57 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      controlDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+application     rhoCentralFoam;
+
+startFrom       startTime;
+
+startTime       0;
+
+stopAt          endTime;
+
+endTime         10;
+
+deltaT          0.0025;
+
+writeControl    adjustableRunTime;
+
+writeInterval   1;
+
+purgeWrite      0;
+
+writeFormat     ascii;
+
+writePrecision  6;
+
+writeCompression off;
+
+timeFormat      general;
+
+timePrecision   6;
+
+graphFormat     raw;
+
+runTimeModifiable true;
+
+adjustTimeStep  yes;
+
+maxCo           0.2;
+
+maxDeltaT       1;
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/obliqueShock/system/fvSchemes

@@ -0,0 +1,55 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      fvSchemes;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+fluxScheme      Kurganov;
+
+ddtSchemes
+{
+    default         Euler;
+}
+
+gradSchemes
+{
+    default         Gauss linear;
+}
+
+divSchemes
+{
+    default         none;
+    div(tauMC)      Gauss linear;
+}
+
+laplacianSchemes
+{
+    default         Gauss linear corrected;
+}
+
+interpolationSchemes
+{
+    default         linear;
+    reconstruct(rho) vanLeer;
+    reconstruct(U)  vanLeerV;
+    reconstruct(T)  vanLeer;
+}
+
+snGradSchemes
+{
+    default         corrected;
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/obliqueShock/system/fvSolution

@@ -0,0 +1,43 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      fvSolution;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+solvers
+{
+    "(rho|rhoU|rhoE)"
+    {
+        solver          diagonal;
+    }
+
+    U
+    {
+        solver          smoothSolver;
+        smoother        GaussSeidel;
+        nSweeps         2;
+        tolerance       1e-09;
+        relTol          0.01;
+    }
+
+    h
+    {
+        $U;
+        tolerance       1e-10;
+        relTol          0;
+    }
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/shockTube/0.org/T

@@ -0,0 +1,34 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    object      T;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 0 0 1 0 0 0];
+
+internalField   uniform 1;
+
+boundaryField
+{
+    sides
+    {
+        type            zeroGradient;
+    }
+
+    empty
+    {
+        type            empty;
+    }
+}
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/shockTube/0.org/U

@@ -0,0 +1,34 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volVectorField;
+    object      U;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 1 -1 0 0 0 0];
+
+internalField   uniform (0 0 0);
+
+boundaryField
+{
+    sides
+    {
+        type            zeroGradient;
+    }
+
+    empty
+    {
+        type            empty;
+    }
+}
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/shockTube/0.org/p

@@ -0,0 +1,34 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    object      p;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [1 -1 -2 0 0 0 0];
+
+internalField   uniform 0;
+
+boundaryField
+{
+    sides
+    {
+        type            zeroGradient;
+    }
+
+    empty
+    {
+        type            empty;
+    }
+}
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/shockTube/0/T

@@ -0,0 +1,34 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    object      T;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 0 0 1 0 0 0];
+
+internalField   uniform 1;
+
+boundaryField
+{
+    sides
+    {
+        type            zeroGradient;
+    }
+
+    empty
+    {
+        type            empty;
+    }
+}
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/shockTube/0/U

@@ -0,0 +1,34 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volVectorField;
+    object      U;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 1 -1 0 0 0 0];
+
+internalField   uniform (0 0 0);
+
+boundaryField
+{
+    sides
+    {
+        type            zeroGradient;
+    }
+
+    empty
+    {
+        type            empty;
+    }
+}
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/shockTube/0/p

@@ -0,0 +1,34 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    object      p;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [1 -1 -2 0 0 0 0];
+
+internalField   uniform 0;
+
+boundaryField
+{
+    sides
+    {
+        type            zeroGradient;
+    }
+
+    empty
+    {
+        type            empty;
+    }
+}
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/shockTube/Allclean

@@ -0,0 +1,12 @@
+#!/bin/sh
+cd ${0%/*} || exit 1    # run from this directory
+
+# Source tutorial clean functions
+. $WM_PROJECT_DIR/bin/tools/CleanFunctions
+
+rm -rf 0
+cp -r 0.org 0
+cleanCase
+cleanSamples
+
+# ----------------------------------------------------------------- end-of-file

tutorials/compressible/rhoCentralFoam/shockTube/Allrun

@@ -0,0 +1,11 @@
+#!/bin/sh
+cd ${0%/*} || exit 1    # run from this directory
+
+# Source tutorial run functions
+. $WM_PROJECT_DIR/bin/tools/RunFunctions
+
+runApplication blockMesh
+runApplication setFields
+runApplication `getApplication`
+
+# ----------------------------------------------------------------- end-of-file

tutorials/compressible/rhoCentralFoam/shockTube/constant/polyMesh/blockMeshDict

@@ -0,0 +1,68 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    object      blockMeshDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+convertToMeters 1;
+
+vertices
+(
+    (-5 -1 -1)
+    (5 -1 -1)
+    (5 1 -1)
+    (-5 1 -1)
+    (-5 -1 1)
+    (5 -1 1)
+    (5 1 1)
+    (-5 1 1)
+);
+
+blocks
+(
+    hex (0 1 2 3 4 5 6 7) (100 1 1) simpleGrading (1 1 1)
+);
+
+edges
+(
+);
+
+boundary
+(
+    sides
+    {
+        type patch;
+        faces
+        (
+            (1 2 6 5)
+            (0 4 7 3)
+        );
+    }
+    empty
+    {
+        type empty;
+        faces
+        (
+            (0 1 5 4)
+            (5 6 7 4)
+            (3 7 6 2)
+            (0 3 2 1)
+        );
+    }
+);
+
+mergePatchPairs
+(
+);
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/shockTube/constant/polyMesh/boundary

@@ -0,0 +1,35 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       polyBoundaryMesh;
+    location    "constant/polyMesh";
+    object      boundary;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+2
+(
+    sides
+    {
+        type            patch;
+        nFaces          2;
+        startFace       99;
+    }
+    empty
+    {
+        type            empty;
+        inGroups        1(empty);
+        nFaces          400;
+        startFace       101;
+    }
+)
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/shockTube/constant/thermophysicalProperties

@@ -0,0 +1,49 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "constant";
+    object      thermophysicalProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+thermoType
+{
+    type            hePsiThermo;
+    mixture         pureMixture;
+    transport       const;
+    thermo          hConst;
+    equationOfState perfectGas;
+    specie          specie;
+    energy          sensibleInternalEnergy;
+}
+
+mixture
+{
+    specie
+    {
+        nMoles          1;
+        molWeight       28.96;
+    }
+    thermodynamics
+    {
+        Cp              1004.5;
+        Hf              2.544e+06;
+    }
+    transport
+    {
+        mu              0;
+        Pr              1;
+    }
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/shockTube/constant/turbulenceProperties

@@ -0,0 +1,21 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "constant";
+    object      turbulenceProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+simulationType  laminar;
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/shockTube/system/controlDict

@@ -0,0 +1,55 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      controlDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+application     rhoCentralFoam;
+
+startFrom       startTime;
+
+startTime       0;
+
+stopAt          endTime;
+
+endTime         0.007;
+
+deltaT          1e-06;
+
+writeControl    adjustableRunTime;
+
+writeInterval   0.001;
+
+cycleWrite      0;
+
+writeFormat     ascii;
+
+writePrecision  6;
+
+writeCompression off;
+
+timeFormat      general;
+
+timePrecision   6;
+
+runTimeModifiable true;
+
+adjustTimeStep  yes;
+
+maxCo           0.2;
+
+maxDeltaT       1;
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/shockTube/system/fvSchemes

@@ -0,0 +1,55 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      fvSchemes;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+fluxScheme      Kurganov;
+
+ddtSchemes
+{
+    default         Euler;
+}
+
+gradSchemes
+{
+    default         Gauss linear;
+}
+
+divSchemes
+{
+    default         none;
+    div(tauMC)      Gauss linear;
+}
+
+laplacianSchemes
+{
+    default         Gauss linear corrected;
+}
+
+interpolationSchemes
+{
+    default         linear;
+    reconstruct(rho) vanLeer;
+    reconstruct(U)  vanLeerV;
+    reconstruct(T)  vanLeer;
+}
+
+snGradSchemes
+{
+    default         corrected;
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/shockTube/system/fvSolution

@@ -0,0 +1,43 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      fvSolution;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+solvers
+{
+    "(rho|rhoU|rhoE)"
+    {
+        solver          diagonal;
+    }
+
+    U
+    {
+        solver          smoothSolver;
+        smoother        GaussSeidel;
+        nSweeps         2;
+        tolerance       1e-09;
+        relTol          0.01;
+    }
+
+    h
+    {
+        $U;
+        tolerance       1e-10;
+        relTol          0;
+    }
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/shockTube/system/sampleDict

@@ -0,0 +1,37 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      sampleDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+interpolationScheme cellPoint;
+
+setFormat       raw;
+
+sets
+(
+    line
+    {
+        type    face;
+        axis    x;
+        start   ( -5 0 0 );
+        end     ( 5 0 0 );
+        nPoints 100;
+    }
+);
+
+fields          ( p U.component(0) T rho );
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/shockTube/system/setFieldsDict

@@ -0,0 +1,23 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      setFieldsDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+defaultFieldValues ( volVectorFieldValue U ( 0 0 0 ) volScalarFieldValue T 348.432 volScalarFieldValue p 100000 );
+
+regions         ( boxToCell { box ( 0 -1 -1 ) ( 5 1 1 ) ; fieldValues ( volScalarFieldValue T 278.746 volScalarFieldValue p 10000 ) ; } );
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/wedge15Ma5/0/T

@@ -0,0 +1,55 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    object      T;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 0 0 1 0 0 0];
+
+internalField   uniform 1;
+
+boundaryField
+{
+    inlet
+    {
+        type            fixedValue;
+        value           uniform 1;
+    }
+
+    outlet
+    {
+        type            zeroGradient;
+    }
+
+    bottom
+    {
+        type            symmetryPlane;
+    }
+
+    top
+    {
+        type            symmetryPlane;
+    }
+
+    obstacle
+    {
+        type            zeroGradient;
+    }
+
+    defaultFaces
+    {
+        type            empty;
+    }
+}
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/wedge15Ma5/0/U

@@ -0,0 +1,55 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volVectorField;
+    object      U;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 1 -1 0 0 0 0];
+
+internalField   uniform (5 0 0);
+
+boundaryField
+{
+    inlet
+    {
+        type            fixedValue;
+        value           uniform (5 0 0);
+    }
+
+    outlet
+    {
+        type            zeroGradient;
+    }
+
+    bottom
+    {
+        type            symmetryPlane;
+    }
+
+    top
+    {
+        type            symmetryPlane;
+    }
+
+    obstacle
+    {
+        type            slip;
+    }
+
+    defaultFaces
+    {
+        type            empty;
+    }
+}
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/wedge15Ma5/0/p

@@ -0,0 +1,55 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    object      p;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [1 -1 -2 0 0 0 0];
+
+internalField   uniform 1;
+
+boundaryField
+{
+    inlet
+    {
+        type            fixedValue;
+        value           uniform 1;
+    }
+
+    outlet
+    {
+        type            zeroGradient;
+    }
+
+    bottom
+    {
+        type            symmetryPlane;
+    }
+
+    top
+    {
+        type            symmetryPlane;
+    }
+
+    obstacle
+    {
+        type            zeroGradient;
+    }
+
+    defaultFaces
+    {
+        type            empty;
+    }
+}
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/wedge15Ma5/constant/polyMesh/blockMeshDict

@@ -0,0 +1,96 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    object      blockMeshDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+convertToMeters 1;
+
+vertices
+(
+    (-0.15242 0       -0.005)
+    ( 0       0       -0.005)
+    ( 0.3048  0.081670913853  -0.005)
+    (-0.15242 0.1524 -0.005)
+    ( 0       0.1524 -0.005)
+    ( 0.3048  0.1524 -0.005)
+
+    (-0.15242 0        0.005)
+    ( 0       0        0.005)
+    ( 0.3048  0.081670913853 0.005)
+    (-0.15242 0.1524  0.005)
+    ( 0       0.1524  0.005)
+    ( 0.3048  0.1524  0.005)
+
+);
+
+blocks
+(
+    hex (0 1 4 3 6 7 10 9 ) (40 40 1) simpleGrading (1 1 1)
+    hex (1 2 5 4 7 8 11 10) (80 40 1) simpleGrading (1 1 1)
+);
+
+edges
+(
+);
+
+boundary
+(
+    inlet
+    {
+        type patch;
+        faces
+        (
+            (0 6 9 3)
+        );
+    }
+    outlet
+    {
+        type patch;
+        faces
+        (
+            (2 5 11 8)
+        );
+    }
+    bottom
+    {
+        type symmetryPlane;
+        faces
+        (
+            (0 1 7 6)
+        );
+    }
+    top
+    {
+        type symmetryPlane;
+        faces
+        (
+            (3 9 10 4)
+            (4 10 11 5)
+        );
+    }
+    obstacle
+    {
+        type patch;
+        faces
+        (
+            (1 2 8 7)
+        );
+    }
+);
+
+mergePatchPairs
+(
+);
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/wedge15Ma5/constant/thermophysicalProperties

@@ -0,0 +1,50 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "constant";
+    object      thermophysicalProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+thermoType
+{
+    type            hePsiThermo;
+    mixture         pureMixture;
+    transport       const;
+    thermo          hConst;
+    equationOfState perfectGas;
+    specie          specie;
+    energy          sensibleInternalEnergy;
+}
+
+mixture
+{
+    // normalised gas
+    specie
+    {
+        nMoles          1;
+        molWeight       11640.3;
+    }
+    thermodynamics
+    {
+        Cp              2.5;
+        Hf              0;
+    }
+    transport
+    {
+        mu              0;
+        Pr              1;
+    }
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/wedge15Ma5/constant/turbulenceProperties

@@ -0,0 +1,21 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "constant";
+    object      turbulenceProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+simulationType  laminar;
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/wedge15Ma5/system/controlDict

@@ -0,0 +1,55 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      controlDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+application     rhoCentralFoam;
+
+startFrom       startTime;
+
+startTime       0;
+
+stopAt          endTime;
+
+endTime         0.2;
+
+deltaT          0.0001;
+
+writeControl    runTime;
+
+writeInterval   0.02;
+
+purgeWrite      0;
+
+writeFormat     ascii;
+
+writePrecision  6;
+
+writeCompression off;
+
+timeFormat      general;
+
+timePrecision   6;
+
+runTimeModifiable true;
+
+adjustTimeStep  no;
+
+maxCo           1;
+
+maxDeltaT       1e-06;
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/wedge15Ma5/system/fvSchemes

@@ -0,0 +1,55 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      fvSchemes;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+fluxScheme      Kurganov;
+
+ddtSchemes
+{
+    default         Euler;
+}
+
+gradSchemes
+{
+    default         Gauss linear;
+}
+
+divSchemes
+{
+    default         none;
+    div(tauMC)      Gauss linear;
+}
+
+laplacianSchemes
+{
+    default         Gauss linear corrected;
+}
+
+interpolationSchemes
+{
+    default         linear;
+    reconstruct(rho) vanLeer;
+    reconstruct(U)  vanLeerV;
+    reconstruct(T)  vanLeer;
+}
+
+snGradSchemes
+{
+    default         corrected;
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoCentralFoam/wedge15Ma5/system/fvSolution

@@ -0,0 +1,43 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      fvSolution;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+solvers
+{
+    "(rho|rhoU|rhoE)"
+    {
+        solver          diagonal;
+    }
+
+    U
+    {
+        solver          smoothSolver;
+        smoother        GaussSeidel;
+        nSweeps         2;
+        tolerance       1e-09;
+        relTol          0.01;
+    }
+
+    h
+    {
+        $U;
+        tolerance       1e-10;
+        relTol          0;
+    }
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoLTSPimpleFoam/angledDuct/0/T

@@ -0,0 +1,54 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    object      T;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 0 0 1 0 0 0];
+
+internalField   uniform 293;
+
+boundaryField
+{
+
+    front
+    {
+        type            zeroGradient;
+    }
+    back
+    {
+        type            zeroGradient;
+    }
+    walls
+    {
+        type            zeroGradient;
+    }
+    porosityWall
+    {
+        type            zeroGradient;
+    }
+
+    inlet
+    {
+        type            fixedValue;
+        value           $internalField;
+    }
+    outlet
+    {
+        type            inletOutlet;
+        value           $internalField;
+        inletValue      $internalField;
+    }
+}
+
+// ************************************************************************* //

tutorials/compressible/rhoLTSPimpleFoam/angledDuct/0/U

@@ -0,0 +1,57 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volVectorField;
+    object      U;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 1 -1 0 0 0 0];
+
+internalField   uniform (47.8 0 0);
+
+boundaryField
+{
+    front
+    {
+        type            fixedValue;
+        value           uniform (0 0 0);
+    }
+    back
+    {
+        type            fixedValue;
+        value           uniform (0 0 0);
+    }
+    walls
+    {
+        type            fixedValue;
+        value           uniform (0 0 0);
+    }
+    porosityWall
+    {
+        type            slip;
+        value           uniform (0 0 0);
+    }
+    inlet
+    {
+        type            flowRateInletVelocity;
+        massFlowRate    constant 0.1;
+        value           uniform (0 0 0);
+    }
+    outlet
+    {
+        type            fluxCorrectedVelocity; //inletOutlet;
+        value           uniform (0 0 0);
+        inletValue      uniform (0 0 0);
+    }
+}
+
+// ************************************************************************* //

tutorials/compressible/rhoLTSPimpleFoam/angledDuct/0/alphat

@@ -0,0 +1,57 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    location    "0";
+    object      alphat;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [1 -1 -1 0 0 0 0];
+
+internalField   uniform 0;
+
+boundaryField
+{
+    front
+    {
+        type            compressible::alphatWallFunction;
+        value           uniform 0;
+    }
+    back
+    {
+        type            compressible::alphatWallFunction;
+        value           uniform 0;
+    }
+    walls
+    {
+        type            compressible::alphatWallFunction;
+        value           uniform 0;
+    }
+    porosityWall
+    {
+        type            compressible::alphatWallFunction;
+        value           uniform 0;
+    }
+    inlet
+    {
+        type            calculated;
+        value           uniform 0;
+    }
+    outlet
+    {
+        type            calculated;
+        value           uniform 0;
+    }
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoLTSPimpleFoam/angledDuct/0/epsilon

@@ -0,0 +1,59 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    location    "0";
+    object      epsilon;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 2 -3 0 0 0 0];
+
+internalField   uniform 200;
+
+boundaryField
+{
+    front
+    {
+        type            compressible::epsilonWallFunction;
+        value           uniform 200;
+    }
+    back
+    {
+        type            compressible::epsilonWallFunction;
+        value           uniform 200;
+    }
+    walls
+    {
+        type            compressible::epsilonWallFunction;
+        value           uniform 200;
+    }
+    porosityWall
+    {
+        type            compressible::epsilonWallFunction;
+        value           uniform 200;
+    }
+    inlet
+    {
+        type            compressible::turbulentMixingLengthDissipationRateInlet;
+        mixingLength    0.005;
+        value           uniform 200;
+    }
+    outlet
+    {
+        type            inletOutlet;
+        inletValue      uniform 200;
+        value           uniform 200;
+    }
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoLTSPimpleFoam/angledDuct/0/k

@@ -0,0 +1,59 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    location    "0";
+    object      k;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [0 2 -2 0 0 0 0];
+
+internalField   uniform 1;
+
+boundaryField
+{
+    front
+    {
+        type            compressible::kqRWallFunction;
+        value           uniform 1;
+    }
+    back
+    {
+        type            compressible::kqRWallFunction;
+        value           uniform 1;
+    }
+    walls
+    {
+        type            compressible::kqRWallFunction;
+        value           uniform 1;
+    }
+    porosityWall
+    {
+        type            compressible::kqRWallFunction;
+        value           uniform 1;
+    }
+    inlet
+    {
+        type            turbulentIntensityKineticEnergyInlet;
+        intensity       0.05;
+        value           uniform 1;
+    }
+    outlet
+    {
+        type            inletOutlet;
+        inletValue      uniform 1;
+        value           uniform 1;
+    }
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoLTSPimpleFoam/angledDuct/0/mut

@@ -0,0 +1,57 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    location    "0";
+    object      mut;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [1 -1 -1 0 0 0 0];
+
+internalField   uniform 0;
+
+boundaryField
+{
+    front
+    {
+        type            mutkWallFunction;
+        value           uniform 0;
+    }
+    back
+    {
+        type            mutkWallFunction;
+        value           uniform 0;
+    }
+    walls
+    {
+        type            mutkWallFunction;
+        value           uniform 0;
+    }
+    porosityWall
+    {
+        type            mutkWallFunction;
+        value           uniform 0;
+    }
+    inlet
+    {
+        type            calculated;
+        value           uniform 0;
+    }
+    outlet
+    {
+        type            calculated;
+        value           uniform 0;
+    }
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoLTSPimpleFoam/angledDuct/0/p

@@ -0,0 +1,51 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    object      p;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+dimensions      [1 -1 -2 0 0 0 0];
+
+internalField   uniform 1.0e5;
+
+boundaryField
+{
+    front
+    {
+        type            zeroGradient;
+    }
+    back
+    {
+        type            zeroGradient;
+    }
+    walls
+    {
+        type            zeroGradient;
+    }
+    porosityWall
+    {
+        type            zeroGradient;
+    }
+
+    inlet
+    {
+        type            zeroGradient;
+    }
+    outlet
+    {
+        type            fixedValue;
+        value           $internalField;
+    }
+}
+
+// ************************************************************************* //

tutorials/compressible/rhoLTSPimpleFoam/angledDuct/Allrun

@@ -0,0 +1,10 @@
+#!/bin/sh
+cd ${0%/*} || exit 1    # run from this directory
+
+m4 constant/polyMesh/blockMeshDict.m4 > constant/polyMesh/blockMeshDict
+
+# Source tutorial run functions
+. $WM_PROJECT_DIR/bin/tools/RunFunctions
+
+runApplication blockMesh
+runApplication `getApplication`

tutorials/compressible/rhoLTSPimpleFoam/angledDuct/constant/RASProperties

@@ -0,0 +1,25 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "constant";
+    object      RASProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+RASModel        kEpsilon;
+
+turbulence      on;
+
+printCoeffs     on;
+
+
+// ************************************************************************* //

tutorials/compressible/rhoLTSPimpleFoam/angledDuct/constant/polyMesh/blockMeshDict.m4

@@ -0,0 +1,165 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    `format'      ascii;
+    class       dictionary;
+    object      blockMeshDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+// block definition for a porosity with an angled inlet/outlet
+// the porosity is not aligned with the main axes
+//
+dnl> -----------------------------------------------------------------
+dnl> <STANDARD DEFINTIONS>
+dnl>
+changecom(//)changequote([,]) dnl>
+define(calc, [esyscmd(perl -e 'print ($1)')]) dnl>
+define(VCOUNT, 0)  dnl>
+define(vlabel, [[// ]pt VCOUNT ($1) define($1, VCOUNT)define([VCOUNT], incr(VCOUNT))])  dnl>
+dnl>
+define(hex2D, hex ($1b $2b $3b $4b $1f $2f $3f $4f)) dnl>
+define(quad2D, ($1f $1b $2b $2f))  dnl>
+define(frontQuad, ($1f $2f $3f $4f)) dnl>
+define(backQuad, ($4b $3b $2b $1b)) dnl>
+dnl>
+dnl> </STANDARD DEFINTIONS>
+dnl> -----------------------------------------------------------------
+dnl>
+define(ncells, 20) dnl>
+define(ninlet, 15) dnl>
+define(nporo, 20) dnl>
+define(noutlet, 20) dnl>
+dnl>
+define(x0,0) dnl>
+define(y0,0) dnl>
+define(y0,0) dnl>
+define(Cos,0.7071067812) dnl>   == cos(45)
+define(Sin,0.7071067812) dnl>   == sin(45)
+dnl>
+define(width,50) dnl>
+define(zBack,calc(-width/2)) dnl>
+define(zFront,calc(width/2)) dnl>
+define(leninlet,150)dnl>
+define(lenporo,100)dnl>
+define(lenoutlet,100)dnl>
+dnl>
+define(xhyp,calc(Sin*width)) dnl>
+define(yhyp,calc(Cos*width)) dnl>
+define(xinlet,leninlet)dnl>
+define(xporo,calc(Cos*lenporo)) dnl>
+define(yporo,calc(Sin*lenporo)) dnl>
+define(xoutlet,calc(xporo + Cos*lenoutlet)) dnl>
+define(youtlet,calc(yporo + Sin*lenoutlet)) dnl>
+dnl>
+
+convertToMeters 0.001;
+
+vertices
+(
+    // inlet region
+    ( -xinlet  y0  zBack )  vlabel(in1b)
+    ( -xinlet yhyp  zBack ) vlabel(in2b)
+    ( -xinlet  y0  zFront )  vlabel(in1f)
+    ( -xinlet yhyp  zFront ) vlabel(in2f)
+
+    // join inlet->outlet
+    (  x0 y0  zBack )    vlabel(join1b)
+    ( -xhyp   yhyp  zBack ) vlabel(join2b)
+    (  x0 y0  zFront )    vlabel(join1f)
+    ( -xhyp   yhyp  zFront ) vlabel(join2f)
+
+    // porosity ends ->outlet
+    ( xporo yporo  zBack )  vlabel(poro1b)
+    ( calc(xporo - xhyp) calc(yporo + yhyp)  zBack )  vlabel(poro2b)
+    ( xporo yporo  zFront )  vlabel(poro1f)
+    ( calc(xporo - xhyp) calc(yporo + yhyp)  zFront )  vlabel(poro2f)
+
+    // outlet
+    ( xoutlet youtlet zBack ) vlabel(out1b)
+    ( calc(xoutlet - xhyp) calc(youtlet + yhyp) zBack ) vlabel(out2b)
+    ( xoutlet youtlet zFront ) vlabel(out1f)
+    ( calc(xoutlet - xhyp) calc(youtlet + yhyp) zFront ) vlabel(out2f)
+);
+
+blocks
+(
+    // inlet block
+    hex2D(in1, join1, join2, in2)
+    inlet ( ninlet ncells ncells ) simpleGrading (1 1 1)
+
+    // porosity block
+    hex2D(join1, poro1, poro2, join2)
+    porosity ( nporo ncells ncells ) simpleGrading (1 1 1)
+
+    // outlet block
+    hex2D(poro1, out1, out2, poro2)
+    outlet ( noutlet ncells ncells )  simpleGrading (1 1 1)
+);
+
+edges
+(
+);
+
+patches
+(
+    // is there no way of defining all my 'defaultFaces' to be 'wall'?
+    wall front
+    (
+    // inlet block
+    frontQuad(in1, join1, join2, in2)
+    // outlet block
+    frontQuad(poro1, out1, out2, poro2)
+    )
+
+    wall back
+    (
+    // inlet block
+    backQuad(in1, join1, join2, in2)
+    // outlet block
+    backQuad(poro1, out1, out2, poro2)
+    )
+
+    wall walls
+    (
+    // inlet block
+    quad2D(in1, join1)
+    quad2D(join2, in2)
+    // outlet block
+    quad2D(poro1, out1)
+    quad2D(out2, poro2)
+    )
+
+    wall porosityWall
+    (
+    // porosity block
+    frontQuad(join1, poro1, poro2, join2)
+    // porosity block
+    backQuad(join1, poro1, poro2, join2)
+    // porosity block
+    quad2D(join1, poro1)
+    quad2D(poro2, join2)
+    )
+
+    patch inlet
+    (
+    quad2D(in2, in1)
+    )
+
+    patch outlet
+    (
+    quad2D(out2, out1)
+    )
+);
+
+mergePatchPairs
+(
+);
+
+// ************************************************************************* //

tutorials/compressible/rhoLTSPimpleFoam/angledDuct/constant/polyMesh/boundary

@@ -0,0 +1,62 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       polyBoundaryMesh;
+    location    "constant/polyMesh";
+    object      boundary;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+6
+(
+    front
+    {
+        type            wall;
+        inGroups        1(wall);
+        nFaces          700;
+        startFace       63400;
+    }
+    back
+    {
+        type            wall;
+        inGroups        1(wall);
+        nFaces          700;
+        startFace       64100;
+    }
+    walls
+    {
+        type            wall;
+        inGroups        1(wall);
+        nFaces          1400;
+        startFace       64800;
+    }
+    porosityWall
+    {
+        type            wall;
+        inGroups        1(wall);
+        nFaces          1600;
+        startFace       66200;
+    }
+    inlet
+    {
+        type            patch;
+        nFaces          400;
+        startFace       67800;
+    }
+    outlet
+    {
+        type            patch;
+        nFaces          400;
+        startFace       68200;
+    }
+)
+
+// ************************************************************************* //

tutorials/compressible/rhoLTSPimpleFoam/angledDuct/constant/thermophysicalProperties

@@ -0,0 +1,49 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "constant";
+    object      thermophysicalProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+thermoType
+{
+    type            hePsiThermo;
+    mixture         pureMixture;
+    transport       sutherland;
+    thermo          hConst;
+    equationOfState perfectGas;
+    specie          specie;
+    energy          sensibleEnthalpy;
+}
+
+mixture
+{
+    specie
+    {
+        nMoles      1;
+        molWeight   28.9;
+    }
+    thermodynamics
+    {
+        Cp          1007;
+        Hf          0;
+    }
+    transport
+    {
+        As          1.4792e-06;
+        Ts          116;
+    }
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoLTSPimpleFoam/angledDuct/constant/turbulenceProperties

@@ -0,0 +1,21 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "constant";
+    object      turbulenceProperties;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+simulationType  RASModel;
+
+
+// ************************************************************************* //

tutorials/compressible/rhoLTSPimpleFoam/angledDuct/system/controlDict

@@ -0,0 +1,49 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      controlDict;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+application     rhoLTSPimpleFoam;
+
+startFrom       startTime;
+
+startTime       0;
+
+stopAt          endTime;
+
+endTime         500;
+
+deltaT          1;
+
+writeControl    adjustableRunTime;
+
+writeInterval   50;
+
+purgeWrite      0;
+
+writeFormat     ascii;
+
+writePrecision  6;
+
+writeCompression off;
+
+timeFormat      general;
+
+timePrecision   6;
+
+runTimeModifiable true;
+
+
+// ************************************************************************* //

tutorials/compressible/rhoLTSPimpleFoam/angledDuct/system/fvOptions

@@ -0,0 +1,50 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      fvOptions;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+porosity1
+{
+    type            explicitPorositySource;
+    active          true;
+    selectionMode   cellZone;
+    cellZone        porosity;
+
+    explicitPorositySourceCoeffs
+    {
+        type            DarcyForchheimer;
+
+        DarcyForchheimerCoeffs
+        {
+            d   d [0 -2 0 0 0 0 0] (5e7 -1000 -1000);
+            f   f [0 -1 0 0 0 0 0] (0 0 0);
+
+            coordinateSystem
+            {
+                type    cartesian;
+                origin  (0 0 0);
+                coordinateRotation
+                {
+                    type    axesRotation;
+                    e1  (0.70710678 0.70710678 0);
+                    e2  (0 0 1);
+                }
+            }
+        }
+    }
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoLTSPimpleFoam/angledDuct/system/fvSchemes

@@ -0,0 +1,67 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      fvSchemes;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+ddtSchemes
+{
+    default         localEuler rDeltaT;
+}
+
+gradSchemes
+{
+    default         Gauss linear;
+}
+
+divSchemes
+{
+    default         none;
+    div(phi,U)      Gauss upwind;
+    div(phid,p)     Gauss upwind;
+    div(phi,K)      Gauss linear;
+    div(phi,h)      Gauss upwind;
+    div(phi,k)      Gauss upwind;
+    div(phi,epsilon) Gauss upwind;
+    div(phi,R)      Gauss upwind;
+    div(phi,omega)  Gauss upwind;
+    div((rho*R))    Gauss linear;
+    div(R)          Gauss linear;
+    div(U)          Gauss linear;
+    div((muEff*dev2(T(grad(U))))) Gauss linear;
+}
+
+laplacianSchemes
+{
+    default         Gauss linear corrected;
+}
+
+interpolationSchemes
+{
+    default         linear;
+}
+
+snGradSchemes
+{
+    default         corrected;
+}
+
+fluxRequired
+{
+    default         no;
+    p               ;
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoLTSPimpleFoam/angledDuct/system/fvSolution

@@ -0,0 +1,68 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       dictionary;
+    location    "system";
+    object      fvSolution;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+solvers
+{
+    p
+    {
+        solver          PCG;
+        preconditioner  DIC;
+        tolerance       1e-06;
+        relTol          0.1;
+    }
+
+    pFinal
+    {
+        $p;
+        tolerance       1e-06;
+        relTol          0.1;
+    }
+
+    "(rho|U|h|k|epsilon|omega)"
+    {
+        solver          smoothSolver;
+        smoother        symGaussSeidel;
+        tolerance       1e-05;
+        relTol          0.1;
+    }
+
+    "(rho|U|h|k|epsilon|omega)Final"
+    {
+        $U;
+        tolerance       1e-05;
+        relTol          0.1;
+    }
+
+}
+
+PIMPLE
+{
+    momentumPredictor yes;
+    nOuterCorrectors  1;
+    nCorrectors       1;
+    nNonOrthogonalCorrectors 0;
+    rhoMin            rhoMin [ 1 -3 0 0 0 ] 0.5;
+    rhoMax            rhoMax [ 1 -3 0 0 0 ] 2.0;
+
+    maxCo             0.2;
+    rDeltaTSmoothingCoeff 0.1;
+    rDeltaTDampingCoeff 1;
+    maxDeltaT         1;
+}
+
+
+// ************************************************************************* //

tutorials/compressible/rhoPimpleDyMFoam/annularThermalMixer/0.org/T

@@ -0,0 +1,44 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volScalarField;
+    object      T;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#include "${FOAM_CASE}/constant/caseSettings"
+
+dimensions      [0 0 0 1 0 0 0];
+
+internalField   uniform $:outerInlet.T;
+
+boundaryField
+{
+    innerInlet
+    {
+        type            fixedValue;
+        value           uniform $:innerInlet.T;
+    }
+
+    outerInlet
+    {
+        type            fixedValue;
+        value           uniform $:outerInlet.T;
+    }
+
+    outlet      { $:outlet.T; }
+    staticWalls { $:wall.T; }
+    movingWalls { $staticWalls; }
+
+    #include "${WM_PROJECT_DIR}/etc/caseDicts/setConstraintTypes"
+}
+
+// ************************************************************************* //

tutorials/compressible/rhoPimpleDyMFoam/annularThermalMixer/0.org/U

@@ -0,0 +1,45 @@
+/*--------------------------------*- C++ -*----------------------------------*\
+| =========                 |                                                 |
+| \\      /  F ield         | OpenFOAM: The Open Source CFD Toolbox           |
+|  \\    /   O peration     | Version:  dev                                   |
+|   \\  /    A nd           | Web:      www.OpenFOAM.org                      |
+|    \\/     M anipulation  |                                                 |
+\*---------------------------------------------------------------------------*/
+FoamFile
+{
+    version     2.0;
+    format      ascii;
+    class       volVectorField;
+    location    "0";
+    object      U;
+}
+// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
+
+#include "${FOAM_CASE}/constant/caseSettings"
+
+dimensions      [0 1 -1 0 0 0 0];
+
+internalField   uniform (0 0 0);
+
+boundaryField
+{
+    innerInlet
+    {
+        type            fixedValue;
+        value           uniform $:innerInlet.U;
+    }
+
+    outerInlet
+    {
+        type            fixedValue;
+        value           uniform $:outerInlet.U;
+    }
+
+    outlet      { $:outlet.U; }
+    staticWalls { $:wall.U; }
+    movingWalls { $:movingWall.U; }
+
+    #include "${WM_PROJECT_DIR}/etc/caseDicts/setConstraintTypes"
+}
+
+// ************************************************************************* //