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compressibleInterFoam family: merged two-phase momentum stress modelling from compressibleInterPhaseTransportFoam

Browse Source 
The new momentum stress model selector class
compressibleInterPhaseTransportModel is now used to select between the options:

Description
    Transport model selection class for the compressibleInterFoam family of
    solvers.

    By default the standard mixture transport modelling approach is used in
    which a single momentum stress model (laminar, non-Newtonian, LES or RAS) is
    constructed for the mixture.  However if the \c simulationType in
    constant/turbulenceProperties is set to \c twoPhaseTransport the alternative
    Euler-Euler two-phase transport modelling approach is used in which separate
    stress models (laminar, non-Newtonian, LES or RAS) are instantiated for each
    of the two phases allowing for different modeling for the phases.

Mixture and two-phase momentum stress modelling is now supported in
compressibleInterFoam, compressibleInterDyMFoam and compressibleInterFilmFoam.
The prototype compressibleInterPhaseTransportFoam solver is no longer needed and
has been removed.
This commit is contained in:
Henry Weller
2017-11-14 10:03:20 +00:00
parent bd8914f9e4
commit 4b5a10d167
51 changed files with 429 additions and 438 deletions
Download Patch File Download Diff File Expand all files Collapse all files

37
tutorials/multiphase/compressibleInterFoam/laminar/climbingRod/0.orig/T Normal file
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/*--------------------------------*- 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 300;
boundaryField
{
wall
{
type zeroGradient;
}
atmosphere
{
type inletOutlet;
inletValue $internalField;
}
#includeEtc "caseDicts/setConstraintTypes"
}
// ************************************************************************* //

47
tutorials/multiphase/compressibleInterFoam/laminar/climbingRod/0.orig/U Normal file
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/*--------------------------------*- 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;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
dimensions [0 1 -1 0 0 0 0];
internalField uniform (0 0 0);
boundaryField
{
rod
{
type rotatingWallVelocity;
axis (0 1 0);
origin (0 0 0);
omega constant 13.2; // 2.1 rev/s
value uniform (0 0 0);
}
vessel
{
type noSlip;
}
atmosphere
{
type pressureInletOutletVelocity;
value $internalField;
}
#includeEtc "caseDicts/setConstraintTypes"
}
// ************************************************************************* //

37
tutorials/multiphase/compressibleInterFoam/laminar/climbingRod/0.orig/alpha.liquid Normal file
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/*--------------------------------*- 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 alpha.liquid;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
dimensions [0 0 0 0 0 0 0];
internalField uniform 0;
boundaryField
{
wall
{
type zeroGradient;
}
atmosphere
{
type inletOutlet;
inletValue $internalField;
}
#includeEtc "caseDicts/setConstraintTypes"
}
// ************************************************************************* //

38
tutorials/multiphase/compressibleInterFoam/laminar/climbingRod/0.orig/p Normal file
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/*--------------------------------*- 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 1e5;
boundaryField
{
wall
{
type calculated;
value $internalField;
}
atmosphere
{
type calculated;
value $internalField;
}
#includeEtc "caseDicts/setConstraintTypes"
}
// ************************************************************************* //

38
tutorials/multiphase/compressibleInterFoam/laminar/climbingRod/0.orig/p_rgh Normal file
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/*--------------------------------*- 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_rgh;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
dimensions [1 -1 -2 0 0 0 0];
internalField uniform 1e5;
boundaryField
{
wall
{
type fixedFluxPressure;
value $internalField;
}
atmosphere
{
type totalPressure;
p0 $internalField;
}
#includeEtc "caseDicts/setConstraintTypes"
}
// ************************************************************************* //

38
tutorials/multiphase/compressibleInterFoam/laminar/climbingRod/0.orig/sigma.liquid Normal file
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/*--------------------------------*- 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 volSymmTensorField;
object sigma.liquid;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
dimensions [0 2 -2 0 0 0 0];
internalField uniform (0 0 0 0 0 0);
boundaryField
{
wall
{
type zeroGradient;
}
atmosphere
{
type inletOutlet;
inletValue $internalField;
}
#includeEtc "caseDicts/setConstraintTypes"
}
// ************************************************************************* //

10
tutorials/multiphase/compressibleInterFoam/laminar/climbingRod/Allclean Executable file
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#!/bin/sh
cd ${0%/*} || exit 1 # Run from this directory
# Source tutorial clean functions
. $WM_PROJECT_DIR/bin/tools/CleanFunctions
cleanCase
rm -rf 0 2> /dev/null
#------------------------------------------------------------------------------

18
tutorials/multiphase/compressibleInterFoam/laminar/climbingRod/Allrun Executable file
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#!/bin/sh
cd ${0%/*} || exit 1 # Run from this directory
# Source tutorial run functions
. $WM_PROJECT_DIR/bin/tools/RunFunctions
# Get application name
application=`getApplication`
runApplication blockMesh
runApplication extrudeMesh
rm -rf 0 2> /dev/null
cp -r 0.orig 0
runApplication setFields
runApplication $application
#------------------------------------------------------------------------------

41
tutorials/multiphase/compressibleInterFoam/laminar/climbingRod/README Normal file
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Reference:
Figueiredo, R. A., Oishi, C. M., Afonso, A. M., Tasso, I. V. M., &
Cuminato, J. A. (2016).
A two-phase solver for complex fluids: Studies of the Weissenberg effect.
International Journal of Multiphase Flow, 84, 98-115.
In compressibleInterFoam with turbulenceProperties simulationType set to
twoPhaseTransport separate stress models (laminar, non-Newtonian, LES or RAS)
are instantiated for each of the two phases allowing for different modeling for
the phases.
This example case uses:
- phases "air" and "liquid"
- air phase
- constant/turbulenceProperties.air:
- stress model set to laminar, Newtonian
- constant/thermophysicalProperties.air:
- transport set to const (Newtonian)
- mu (dynamic viscoity) = 1.84e-5
- liquid phase
- constant/turbulenceProperties.liquid:
- stress model set to laminar, Maxwell non-Newtonian
- nuM (kinematic viscosity) = 0.01476
- lambda = 0.018225
- constant/thermophysicalProperties.liquid
- transport set to const (Newtonian)
- mu (dynamic viscoity) = 1.46
Liquid phase properties were calculated from the relations given in the paper:
- rho = 890 kg/m^3
- mu = mu_{s} + mu_{p} = 146 poise = 14.6 Pa.s
s = solvent (Newtonian), p = polymer (Maxwell)
- mu_{s}/mu_{p} = 1/9
=> mu_{s} = 14.6/10 = 1.46 Pa.s
=> nu_{p} = nuM = (9/10)*14.6/890 = 0.01476 m^2/s
compressibleInterFoam solves the energy equation, despite not being needed in
this example. The case is simply initialised at a uniform temperature of 300K
throughout the domain and at the atmosphere boundary.

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tutorials/multiphase/compressibleInterFoam/laminar/climbingRod/constant/fvOptions Normal file
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/*--------------------------------*- 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 fvOptions;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
stabilization
{
type symmTensorPhaseLimitStabilization;
field sigma.liquid;
rate rLambda.liquid;
residualAlpha 5e-3;
}
//************************************************************************* //

22
tutorials/multiphase/compressibleInterFoam/laminar/climbingRod/constant/g Normal file
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/*--------------------------------*- 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 uniformDimensionedVectorField;
location "constant";
object g;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
dimensions [0 1 -2 0 0 0 0];
value (0 -9.81 0);
// ************************************************************************* //

24
tutorials/multiphase/compressibleInterFoam/laminar/climbingRod/constant/thermophysicalProperties Normal file
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/*--------------------------------*- 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;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
phases (liquid air);
pMin 10000;
sigma 0.0309;
// ************************************************************************* //

52
tutorials/multiphase/compressibleInterFoam/laminar/climbingRod/constant/thermophysicalProperties.air Normal file
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/*--------------------------------*- 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 heRhoThermo;
mixture pureMixture;
transport const;
thermo hConst;
equationOfState rhoConst;
specie specie;
energy sensibleInternalEnergy;
}
mixture
{
specie
{
molWeight 28.9;
}
equationOfState
{
rho 1.2;
}
thermodynamics
{
Cp 1007;
Hf 0;
}
transport
{
mu 1.84e-05;
Pr 0.7;
}
}
// ************************************************************************* //

52
tutorials/multiphase/compressibleInterFoam/laminar/climbingRod/constant/thermophysicalProperties.liquid Normal file
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/*--------------------------------*- 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 heRhoThermo;
mixture pureMixture;
transport const;
thermo hConst;
equationOfState rhoConst;
specie specie;
energy sensibleInternalEnergy;
}
mixture
{
specie
{
molWeight 18.0;
}
equationOfState
{
rho 890;
}
thermodynamics
{
Cp 4195;
Hf 0;
}
transport
{
mu 1.46;
Pr 2.289;
}
}
// ************************************************************************* //

21
tutorials/multiphase/compressibleInterFoam/laminar/climbingRod/constant/turbulenceProperties Normal file
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/*--------------------------------*- 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 twoPhaseTransport;
// ************************************************************************* //

21
tutorials/multiphase/compressibleInterFoam/laminar/climbingRod/constant/turbulenceProperties.air Normal file
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/*--------------------------------*- 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;
// ************************************************************************* //

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tutorials/multiphase/compressibleInterFoam/laminar/climbingRod/constant/turbulenceProperties.liquid Normal file
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/*--------------------------------*- 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;
laminar
{
laminarModel Maxwell;
nuM 0.01476;
lambda 0.018225;
}
// ************************************************************************* //

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tutorials/multiphase/compressibleInterFoam/laminar/climbingRod/system/blockMeshDict Normal file
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/*--------------------------------*- 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;
// H 77;
R 6.35;
Rc 152.25;
hTotal 110;
rCells 80;
hCells 80;
rGrading
(
(0.1 1 1)
(0.9 2.25 10)
);
hGrading
(
(0.65 2 0.1)
(0.2 2.4 1)
(0.15 1.2 2)
);
vertices
(
($R 0 -1)
($Rc 0 -1)
($R $hTotal -1)
($Rc $hTotal -1)
($R 0 0)
($Rc 0 0)
($R $hTotal 0)
($Rc $hTotal 0)
);
blocks
(
hex (0 1 3 2 4 5 7 6)
($rCells $hCells 1)
simpleGrading ($rGrading $hGrading 1)
);
edges
(
);
boundary
(
rod
{
type wall;
faces
(
(0 2 6 4)
);
}
vessel
{
type wall;
faces
(
(1 3 7 5)
(0 1 5 4)
);
}
atmosphere
{
type patch;
faces
(
(2 3 7 6)
);
}
back
{
type symmetry;
faces
(
(0 2 3 1)
);
}
front
{
type symmetry;
faces
(
(4 5 7 6)
);
}
);
mergePatchPairs
(
);
// ************************************************************************* //

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tutorials/multiphase/compressibleInterFoam/laminar/climbingRod/system/controlDict Normal file
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/*--------------------------------*- 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 compressibleInterFoam;
startFrom latestTime;
startTime 0;
stopAt endTime;
endTime 25;
deltaT 1e-3;
writeControl adjustableRunTime;
writeInterval 0.5;
purgeWrite 0;
writeFormat ascii;
writePrecision 10;
writeCompression uncompressed;
timeFormat general;
timePrecision 6;
runTimeModifiable yes;
adjustTimeStep yes;
maxCo 1;
maxAlphaCo 1;
maxDeltaT 1;
// ************************************************************************* //

35
tutorials/multiphase/compressibleInterFoam/laminar/climbingRod/system/extrudeMeshDict Normal file
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/*--------------------------------*- 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 extrudeProperties;
}
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
constructFrom patch;
sourceCase "$FOAM_CASE";
sourcePatches (front);
exposedPatchName back;
extrudeModel wedge;
sectorCoeffs
{
axisPt (0 0 0);
axis (0 -1 0);
angle 1;
}
flipNormals false;
mergeFaces false;
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

65
tutorials/multiphase/compressibleInterFoam/laminar/climbingRod/system/fvSchemes Normal file
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/*--------------------------------*- 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 Euler;
}
gradSchemes
{
default Gauss linear;
}
divSchemes
{
div(rhoPhi,U) Gauss linearUpwindV grad(U);
div(rhoPhi,T) Gauss linearUpwind grad(T);
div(phi,alpha) Gauss vanLeer;
div(phirb,alpha) Gauss linear;
div(phi,p) Gauss upwind;
div(rhoPhi,K) Gauss upwind;
div(alphaRhoPhi.liquid,sigma.liquid) Gauss linearUpwind grad(sigma);
div(((alpha.liquid*thermo:rho.liquid)*sigma.liquid)) Gauss linear;
div((((alpha.liquid*thermo:rho.liquid)*nuM)*grad(U))) Gauss linear;
div((((alpha.liquid*thermo:rho.liquid)*(thermo:mu.liquid|thermo:rho.liquid))*dev2(T(grad(U))))) Gauss linear;
div((((alpha.air*thermo:rho.air)*nuEff.air)*dev2(T(grad(U))))) Gauss linear;
div((((alpha.liquid*thermo:rho.liquid)*nuEff.liquid)*dev2(T(grad(U))))) Gauss linear;
}
laplacianSchemes
{
default Gauss linear corrected;
}
interpolationSchemes
{
default linear;
}
snGradSchemes
{
default corrected;
}
// ************************************************************************* //

91
tutorials/multiphase/compressibleInterFoam/laminar/climbingRod/system/fvSolution Normal file
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/*--------------------------------*- 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
{
"alpha.liquid.*"
{
nAlphaCorr 2;
nAlphaSubCycles 1;
cAlpha 1;
MULESCorr yes;
nLimiterIter 5;
solver smoothSolver;
smoother symGaussSeidel;
tolerance 1e-8;
relTol 0;
}
"pcorr.*"
{
solver PCG;
preconditioner DIC;
tolerance 1e-5;
relTol 0;
}
p_rgh
{
solver PCG;
preconditioner DIC;
tolerance 1e-9;
relTol 0.05;
}
p_rghFinal
{
$p_rgh;
relTol 0;
}
"U.*"
{
solver PBiCGStab;
preconditioner DILU;
tolerance 1e-6;
relTol 0;
}
"(T|k|B|nuTilda|sigma).*"
{
solver PBiCGStab;
preconditioner DILU;
tolerance 1e-8;
relTol 0;
}
}
PIMPLE
{
momentumPredictor no;
nOuterCorrectors 1;
nCorrectors 2;
nNonOrthogonalCorrectors 0;
}
relaxationFactors
{
equations
{
".*" 1;
}
}
// ************************************************************************* //

36
tutorials/multiphase/compressibleInterFoam/laminar/climbingRod/system/setFieldsDict Normal file
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/*--------------------------------*- 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
(
volScalarFieldValue alpha.liquid 0
);
regions
(
boxToCell
{
box (0 0 -1) (1 0.0771 1);
fieldValues
(
volScalarFieldValue alpha.liquid 1
);
}
);
// ************************************************************************* //