ENH: Lagrangian - added tutorial case for particle Tomiyama drag model
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7
tutorials/lagrangian/kinematicParcelFoam/particleDrag/Allclean
Executable file
7
tutorials/lagrangian/kinematicParcelFoam/particleDrag/Allclean
Executable file
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#!/bin/sh
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cd "${0%/*}" || exit # Run from this directory
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#------------------------------------------------------------------------------
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rm -rf parcelInBox-* *.png
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#------------------------------------------------------------------------------
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16
tutorials/lagrangian/kinematicParcelFoam/particleDrag/Allrun
Executable file
16
tutorials/lagrangian/kinematicParcelFoam/particleDrag/Allrun
Executable file
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#!/bin/sh
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cd "${0%/*}" || exit # Run from this directory
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#------------------------------------------------------------------------------
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BASE="parcelInBox"
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for cont in "pure" "slight" "full"
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do
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cp -rf "$BASE" "$BASE-$cont"
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(cd ./$BASE-$cont && ./Allrun $cont)
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done
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./plot
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#------------------------------------------------------------------------------
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7
tutorials/lagrangian/kinematicParcelFoam/particleDrag/Alltest
Executable file
7
tutorials/lagrangian/kinematicParcelFoam/particleDrag/Alltest
Executable file
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#!/bin/sh
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cd "${0%/*}" || exit # Run from this directory
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#------------------------------------------------------------------------------
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echo "--- Skipping testing of tutorials in : $PWD" 1>&2
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#------------------------------------------------------------------------------
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Test case for Tomiyama particle drag model
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Based on the `parcelInBox` tutorial
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- Makes use of the `FreezeParticles` cloud function object to keep the particle
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location fixed in space
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- Iterates across a range of particle velocities for different contamination
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levels to reproduce the validation figure from the reference publication
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Reference
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Tomiyama, A., Kataoka, I., Zun, I., & Sakaguchi, T. (1998).
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Drag coefficients of single bubbles under normal and micro gravity conditions.
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JSME International Journal Series B Fluids and Thermal Engineering, 41(2), 472-479.
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@ -0,0 +1,51 @@
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/*--------------------------------*- C++ -*----------------------------------*\
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| ========= | |
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| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
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| \\ / O peration | Version: v2312 |
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| \\ / A nd | Website: www.openfoam.com |
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| \\/ M anipulation | |
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\*---------------------------------------------------------------------------*/
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FoamFile
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{
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version 2.0;
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format ascii;
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class volVectorField;
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object U;
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}
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// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
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dimensions [0 1 -1 0 0 0 0];
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internalField uniform (0 0 0);
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boundaryField
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{
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back
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{
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type symmetryPlane;
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}
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front
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{
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type symmetryPlane;
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}
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walls
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{
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type noSlip;
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}
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outlet
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{
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type zeroGradient;
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}
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inlet
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{
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type fixedValue;
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value uniform (0 0 0);
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}
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}
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// ************************************************************************* //
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/*--------------------------------*- C++ -*----------------------------------*\
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| ========= | |
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| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
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| \\ / O peration | Version: v2312 |
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| \\ / A nd | Website: www.openfoam.com |
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| \\/ M anipulation | |
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\*---------------------------------------------------------------------------*/
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FoamFile
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{
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version 2.0;
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format ascii;
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class volScalarField;
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object p;
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}
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// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
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dimensions [0 2 -2 0 0 0 0];
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internalField uniform 0;
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boundaryField
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{
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back
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{
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type symmetryPlane;
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}
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front
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{
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type symmetryPlane;
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}
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inlet
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{
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type zeroGradient;
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}
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outlet
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{
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type fixedValue;
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value uniform 0;
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}
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walls
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{
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type zeroGradient;
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}
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}
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// ************************************************************************* //
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10
tutorials/lagrangian/kinematicParcelFoam/particleDrag/parcelInBox/Allclean
Executable file
10
tutorials/lagrangian/kinematicParcelFoam/particleDrag/parcelInBox/Allclean
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#!/bin/sh
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cd "${0%/*}" || exit # Run from this directory
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. ${WM_PROJECT_DIR:?}/bin/tools/CleanFunctions # Tutorial clean functions
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#------------------------------------------------------------------------------
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cleanCase0
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rm -rf logs D_VS_U.txt *.png
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#------------------------------------------------------------------------------
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41
tutorials/lagrangian/kinematicParcelFoam/particleDrag/parcelInBox/Allrun
Executable file
41
tutorials/lagrangian/kinematicParcelFoam/particleDrag/parcelInBox/Allrun
Executable file
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#!/bin/sh
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cd "${0%/*}" || exit # Run from this directory
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. ${WM_PROJECT_DIR:?}/bin/tools/RunFunctions # Tutorial run functions
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#------------------------------------------------------------------------------
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./Allclean
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mkdir logs
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D_VS_U="D_VS_U.txt"
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contamination="${1:-pure}"
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runApplication blockMesh
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APP=$(getApplication)
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for d in $(seq -f "%06.4f" 0.0002 0.0002 0.04)
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do
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foamListTimes -rm
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restore0Dir
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echo "Setting diameter: $d"
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sed -e "s/DIAMETER/$d/g" -e "s/CONTAMINATION/$contamination/g" constant/kinematicCloudProperties.TEMPLATE > constant/kinematicCloudProperties
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runApplication $APP
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mv log.$APP logs/log.${APP}_t$d
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./process > logs/log.velocity_t$d
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#U=$(tail -5 logs/log.velocity_t$d | awk '{SUM += $2; if (++C == 5) {print SUM/C; exit}}')
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U=$(tail -1 logs/log.velocity_t$d | awk '{print $2}')
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echo "$d $U" >> $D_VS_U
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done
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#------------------------------------------------------------------------------
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/*--------------------------------*- C++ -*----------------------------------*\
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| ========= | |
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| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
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| \\ / O peration | Version: v2312 |
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| \\ / A nd | Website: www.openfoam.com |
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| \\/ M anipulation | |
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\*---------------------------------------------------------------------------*/
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FoamFile
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{
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version 2.0;
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format ascii;
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class uniformDimensionedVectorField;
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object g;
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}
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// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
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dimensions [0 1 -2 0 0 0 0];
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value (0 -9.81 0);
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// ************************************************************************* //
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/*--------------------------------*- C++ -*----------------------------------*\
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| ========= | |
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| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
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| \\ / O peration | Version: v2312 |
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| \\ / A nd | Website: www.openfoam.com |
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| \\/ M anipulation | |
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\*---------------------------------------------------------------------------*/
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FoamFile
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{
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version 2.0;
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format ascii;
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class dictionary;
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object kinematicCloudProperties;
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}
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// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
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solution
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{
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active true;
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coupled no;
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transient yes;
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cellValueSourceCorrection no;
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maxCo 0.3;
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sourceTerms
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{
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schemes
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{
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U semiImplicit 1;
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}
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}
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interpolationSchemes
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{
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rho cell;
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U cellPoint;
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muc cell;
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p cell;
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curlUcDt cellPoint;
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}
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integrationSchemes
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{
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U Euler;
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}
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}
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constantProperties
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{
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rho0 1.2;
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}
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subModels
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{
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particleForces
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{
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gravity;
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TomiyamaDrag
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{
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sigma 0.07;
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contamination CONTAMINATION;
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}
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}
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injectionModels
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{
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model1
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{
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type manualInjection;
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massTotal 1; // unused - calculated by number of particles
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parcelBasisType fixed;
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nParticle 1;
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SOI 0;
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positionsFile "parcelPositions";
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U0 (0 0 0);
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sizeDistribution
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{
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type fixedValue;
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fixedValueDistribution
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{
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value DIAMETER;
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}
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}
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}
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}
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dispersionModel none;
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patchInteractionModel none;
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stochasticCollisionModel none;
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surfaceFilmModel none;
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}
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cloudFunctions
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{
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FreezeParticles
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{
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type FreezeParticles;
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}
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}
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// ************************************************************************* //
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/*--------------------------------*- C++ -*----------------------------------*\
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| ========= | |
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| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
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| \\ / O peration | Version: v2312 |
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| \\ / A nd | Website: www.openfoam.com |
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| \\/ M anipulation | |
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\*---------------------------------------------------------------------------*/
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FoamFile
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{
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version 2.0;
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format ascii;
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class vectorField;
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object parcelPositions;
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}
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// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
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(
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(0.05 0.05 0.005)
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)
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// ************************************************************************* //
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/*--------------------------------*- C++ -*----------------------------------*\
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| ========= | |
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| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
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| \\ / O peration | Version: v2312 |
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| \\ / A nd | Website: www.openfoam.com |
|
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| \\/ M anipulation | |
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\*---------------------------------------------------------------------------*/
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FoamFile
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{
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version 2.0;
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format ascii;
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class dictionary;
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object transportProperties;
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}
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// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
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transportModel Newtonian;
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nu 1e-06;
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rhoInf 1000;
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// ************************************************************************* //
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/*--------------------------------*- C++ -*----------------------------------*\
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| ========= | |
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| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
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| \\ / O peration | Version: v2312 |
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| \\ / A nd | Website: www.openfoam.com |
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| \\/ M anipulation | |
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\*---------------------------------------------------------------------------*/
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FoamFile
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{
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version 2.0;
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format ascii;
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class dictionary;
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object turbulenceProperties;
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}
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// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
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simulationType laminar;
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// ************************************************************************* //
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21
tutorials/lagrangian/kinematicParcelFoam/particleDrag/parcelInBox/plot
Executable file
21
tutorials/lagrangian/kinematicParcelFoam/particleDrag/parcelInBox/plot
Executable file
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#!/bin/sh
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cd "${0%/*}" || exit # Run from this directory
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#------------------------------------------------------------------------------
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gnuplot<<EOF
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set terminal pngcairo font "helvetica,20" size 1200, 627
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set output "velocity.png"
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set logscale x
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set logscale y
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set xrange [0.1:100]
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set yrange [1:100]
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set format x '10^{%T}'
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set format y '10^{%T}'
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set xlabel "Diameter / [mm]"
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set ylabel "Terminal velocity / [cm/s]"
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plot "D_VS_U.txt" u (\$1*1000):(\$2*100) t "Results" w lines
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EOF
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#------------------------------------------------------------------------------
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11
tutorials/lagrangian/kinematicParcelFoam/particleDrag/parcelInBox/process
Executable file
11
tutorials/lagrangian/kinematicParcelFoam/particleDrag/parcelInBox/process
Executable file
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#!/bin/sh
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cd "${0%/*}" || exit # Run from this directory
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#------------------------------------------------------------------------------
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for t in $(foamListTimes)
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do
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U=$(awk '/1\(\(/{print $2}' "$t/lagrangian/kinematicCloud/U")
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echo "$t $U"
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done
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#------------------------------------------------------------------------------
|
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/*--------------------------------*- C++ -*----------------------------------*\
|
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| ========= | |
|
||||
| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
|
||||
| \\ / O peration | Version: v2312 |
|
||||
| \\ / A nd | Website: www.openfoam.com |
|
||||
| \\/ M anipulation | |
|
||||
\*---------------------------------------------------------------------------*/
|
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FoamFile
|
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{
|
||||
version 2.0;
|
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format ascii;
|
||||
class dictionary;
|
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object blockMeshDict;
|
||||
}
|
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// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
|
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|
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scale 0.1;
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|
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vertices
|
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(
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(0 0 0)
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(1 0 0)
|
||||
(1 1 0)
|
||||
(0 1 0)
|
||||
(0 0 0.1)
|
||||
(1 0 0.1)
|
||||
(1 1 0.1)
|
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(0 1 0.1)
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);
|
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|
||||
blocks
|
||||
(
|
||||
hex (0 1 2 3 4 5 6 7) (5 5 5) simpleGrading (1 1 1)
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);
|
||||
|
||||
edges
|
||||
(
|
||||
);
|
||||
|
||||
boundary
|
||||
(
|
||||
outlet
|
||||
{
|
||||
type wall;
|
||||
faces
|
||||
(
|
||||
(3 7 6 2)
|
||||
);
|
||||
}
|
||||
inlet
|
||||
{
|
||||
type wall;
|
||||
faces
|
||||
(
|
||||
(1 5 4 0)
|
||||
);
|
||||
}
|
||||
walls
|
||||
{
|
||||
type wall;
|
||||
faces
|
||||
(
|
||||
(0 4 7 3)
|
||||
(2 6 5 1)
|
||||
);
|
||||
}
|
||||
back
|
||||
{
|
||||
type symmetryPlane;
|
||||
faces
|
||||
(
|
||||
(0 3 2 1)
|
||||
);
|
||||
}
|
||||
front
|
||||
{
|
||||
type symmetryPlane;
|
||||
faces
|
||||
(
|
||||
(4 5 6 7)
|
||||
);
|
||||
}
|
||||
);
|
||||
|
||||
mergePatchPairs
|
||||
(
|
||||
);
|
||||
|
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// ************************************************************************* //
|
@ -0,0 +1,53 @@
|
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/*--------------------------------*- C++ -*----------------------------------*\
|
||||
| ========= | |
|
||||
| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
|
||||
| \\ / O peration | Version: v2312 |
|
||||
| \\ / A nd | Website: www.openfoam.com |
|
||||
| \\/ M anipulation | |
|
||||
\*---------------------------------------------------------------------------*/
|
||||
FoamFile
|
||||
{
|
||||
version 2.0;
|
||||
format ascii;
|
||||
class dictionary;
|
||||
object controlDict;
|
||||
}
|
||||
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
|
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|
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application kinematicParcelFoam;
|
||||
|
||||
startFrom startTime;
|
||||
|
||||
startTime 0;
|
||||
|
||||
stopAt endTime;
|
||||
|
||||
endTime 0.1;
|
||||
|
||||
deltaT 0.001;
|
||||
|
||||
writeControl adjustable;
|
||||
|
||||
writeInterval 0.02;
|
||||
|
||||
purgeWrite 0;
|
||||
|
||||
writeFormat ascii;
|
||||
|
||||
writePrecision 10;
|
||||
|
||||
writeCompression off;
|
||||
|
||||
timeFormat general;
|
||||
|
||||
timePrecision 6;
|
||||
|
||||
runTimeModifiable true;
|
||||
|
||||
adjustTimeStep yes;
|
||||
|
||||
maxCo 5;
|
||||
|
||||
maxDeltaT 1e-3;
|
||||
|
||||
// ************************************************************************* //
|
@ -0,0 +1,54 @@
|
||||
/*--------------------------------*- C++ -*----------------------------------*\
|
||||
| ========= | |
|
||||
| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
|
||||
| \\ / O peration | Version: v2312 |
|
||||
| \\ / A nd | Website: www.openfoam.com |
|
||||
| \\/ M anipulation | |
|
||||
\*---------------------------------------------------------------------------*/
|
||||
FoamFile
|
||||
{
|
||||
version 2.0;
|
||||
format ascii;
|
||||
class dictionary;
|
||||
object fvSchemes;
|
||||
}
|
||||
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
|
||||
|
||||
ddtSchemes
|
||||
{
|
||||
default Euler;
|
||||
}
|
||||
|
||||
gradSchemes
|
||||
{
|
||||
default Gauss linear;
|
||||
grad(p) Gauss linear;
|
||||
}
|
||||
|
||||
divSchemes
|
||||
{
|
||||
default none;
|
||||
div(phi,U) Gauss upwind;
|
||||
div(phi,K) Gauss upwind;
|
||||
div(phi,k) Gauss upwind;
|
||||
div(phi,epsilon) Gauss upwind;
|
||||
div(phi,omega) Gauss upwind;
|
||||
div((nuEff*dev2(T(grad(U))))) Gauss linear;
|
||||
}
|
||||
|
||||
laplacianSchemes
|
||||
{
|
||||
default Gauss linear orthogonal;
|
||||
}
|
||||
|
||||
interpolationSchemes
|
||||
{
|
||||
default linear;
|
||||
}
|
||||
|
||||
snGradSchemes
|
||||
{
|
||||
default orthogonal;
|
||||
}
|
||||
|
||||
// ************************************************************************* //
|
@ -0,0 +1,70 @@
|
||||
/*--------------------------------*- C++ -*----------------------------------*\
|
||||
| ========= | |
|
||||
| \\ / F ield | OpenFOAM: The Open Source CFD Toolbox |
|
||||
| \\ / O peration | Version: v2312 |
|
||||
| \\ / A nd | Website: www.openfoam.com |
|
||||
| \\/ M anipulation | |
|
||||
\*---------------------------------------------------------------------------*/
|
||||
FoamFile
|
||||
{
|
||||
version 2.0;
|
||||
format ascii;
|
||||
class dictionary;
|
||||
object fvSolution;
|
||||
}
|
||||
// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
|
||||
|
||||
solvers
|
||||
{
|
||||
"(U|k|epsilon)"
|
||||
{
|
||||
solver smoothSolver;
|
||||
smoother symGaussSeidel;
|
||||
tolerance 1e-05;
|
||||
relTol 0.1;
|
||||
}
|
||||
|
||||
"(U|k|epsilon)Final"
|
||||
{
|
||||
$U;
|
||||
tolerance 1e-05;
|
||||
relTol 0;
|
||||
}
|
||||
|
||||
p
|
||||
{
|
||||
solver GAMG;
|
||||
tolerance 0;
|
||||
relTol 0.1;
|
||||
smoother GaussSeidel;
|
||||
maxIter 20;
|
||||
}
|
||||
|
||||
pFinal
|
||||
{
|
||||
$p;
|
||||
tolerance 1e-06;
|
||||
relTol 0;
|
||||
}
|
||||
}
|
||||
|
||||
PIMPLE
|
||||
{
|
||||
nCorrectors 2;
|
||||
nNonOrthogonalCorrectors 0;
|
||||
momentumPredictor yes;
|
||||
pRefCell 0;
|
||||
pRefValue 0;
|
||||
|
||||
solvePrimaryRegion no;
|
||||
}
|
||||
|
||||
relaxationFactors
|
||||
{
|
||||
equations
|
||||
{
|
||||
".*" 1;
|
||||
}
|
||||
}
|
||||
|
||||
// ************************************************************************* //
|
33
tutorials/lagrangian/kinematicParcelFoam/particleDrag/plot
Executable file
33
tutorials/lagrangian/kinematicParcelFoam/particleDrag/plot
Executable file
@ -0,0 +1,33 @@
|
||||
#!/bin/sh
|
||||
cd "${0%/*}" || exit # Run from this directory
|
||||
#------------------------------------------------------------------------------
|
||||
|
||||
# Require gnuplot
|
||||
command -v gnuplot >/dev/null || {
|
||||
echo "FOAM FATAL ERROR: gnuplot not found - skipping graph creation" 1>&2
|
||||
exit 1
|
||||
}
|
||||
|
||||
#------------------------------------------------------------------------------
|
||||
|
||||
gnuplot<<EOF
|
||||
|
||||
set terminal pngcairo font "helvetica,20" size 1200, 627
|
||||
set output "velocity-all.png"
|
||||
set logscale x
|
||||
set logscale y
|
||||
set xrange [0.1:100]
|
||||
set yrange [1:100]
|
||||
set format x '10^{%T}'
|
||||
set format y '10^{%T}'
|
||||
set xlabel "Diameter / [mm]"
|
||||
set ylabel "Terminal velocity / [cm/s]"
|
||||
set key bottom right
|
||||
plot "parcelInBox-pure/D_VS_U.txt" u (\$1*1000):(\$2*100) w lines lw 2 t "Pure", \
|
||||
"parcelInBox-slight/D_VS_U.txt" u (\$1*1000):(\$2*100) w lines lw 2 t "Slight", \
|
||||
"parcelInBox-full/D_VS_U.txt" u (\$1*1000):(\$2*100) w lines lw 2 t "Full", \
|
||||
"reference.dat" w points ps 1.5 pt 6 lw 2 t "Reference"
|
||||
|
||||
EOF
|
||||
|
||||
#------------------------------------------------------------------------------
|
@ -0,0 +1,133 @@
|
||||
0.23165101120517492 2.1732780450024016
|
||||
0.2786631410991471 2.7554435877275303
|
||||
0.31515405186588796 3.277250219184025
|
||||
0.31886520638584326 3.5902134819203972
|
||||
0.4978239202916686 4.942987804512482
|
||||
0.4676150366190196 5.17315663478947
|
||||
0.6619921926307331 5.774038478986354
|
||||
0.7126355937667286 6.501402977557853
|
||||
0.6610628611729201 6.866357210111907
|
||||
0.8370505701073748 7.254777453922249
|
||||
0.5904419261961209 7.729417543954037
|
||||
0.5900055251010418 8.467404459440496
|
||||
0.7282245608167323 9.711289880017386
|
||||
0.8137593798629431 10.935174992075732
|
||||
0.9006865413556834 8.628069378407506
|
||||
0.9229787505679002 9.113601233170218
|
||||
0.8779584829617016 9.365749545622034
|
||||
1.0061805423494876 10.076364347300366
|
||||
0.9809354792026469 10.740192528563373
|
||||
0.9684440612161139 11.241045328313858
|
||||
0.7931662069226446 11.978846567813266
|
||||
0.773380028323336 12.537256146456983
|
||||
0.9092735998230909 12.426101889245032
|
||||
0.8535921282048915 13.988908480817003
|
||||
0.9310208142063753 14.51025998543782
|
||||
1.1648114905293085 14.514552073234752
|
||||
1.1091428316485272 13.128381987289988
|
||||
0.8308229564337555 18.22299739902968
|
||||
0.98860499126058 19.077500879260405
|
||||
1.1923177540005803 17.57864258431216
|
||||
1.268687107568668 17.90365589267156
|
||||
1.3002796861863217 18.56938019922389
|
||||
1.2368557564382168 19.083143942086448
|
||||
1.0774039588371362 21.87644441480781
|
||||
1.0506825972403409 22.482444334007745
|
||||
0.9504729461553073 24.4022360263223
|
||||
1.1748738107474148 23.321107095659826
|
||||
1.2039522210317675 24.633467936384264
|
||||
1.2960563817107371 27.73658373979171
|
||||
1.364229713919241 23.113964341791714
|
||||
1.3649359780109478 21.68462736014056
|
||||
1.4695729381364084 23.975002889223052
|
||||
1.564394669867641 23.11814228994263
|
||||
1.9599847486630102 19.446195923303094
|
||||
2.423441825934615 17.91895926989588
|
||||
2.7790183988404484 17.922198198607575
|
||||
1.8679698156044853 15.765871408835274
|
||||
1.1154204807714807 30.378818282070274
|
||||
1.232473890918246 29.562890943806565
|
||||
1.3612070046903368 30.386805667113173
|
||||
1.2312898095053275 33.28369232462191
|
||||
1.1856365436426777 35.153794797654214
|
||||
1.359497109974116 35.482242560145025
|
||||
1.4836934021925274 34.21524044054916
|
||||
1.5596594378452673 33.59908357572838
|
||||
1.7440119709056936 34.85243040056519
|
||||
1.6797207455234935 35.817289914583135
|
||||
1.5609284572804127 30.39229821251436
|
||||
1.6416984467099933 27.99941142614912
|
||||
1.7253716846940905 28.257764337258006
|
||||
1.8572278954709418 32.10891013161875
|
||||
1.977062413852472 30.961345724442516
|
||||
1.7233317560557992 32.69666497025472
|
||||
1.3775416734000945 32.39027682401308
|
||||
2.0040446434815276 27.003599607874264
|
||||
1.9796954153373971 26.274439681552593
|
||||
1.9543410934478054 27.751626977870593
|
||||
2.15783566787852 29.5847573118874
|
||||
2.296217350703592 29.858228930341827
|
||||
2.3546156284462203 29.053419450979717
|
||||
2.506543256981503 28.01505751555313
|
||||
2.3863976489540977 25.805946495094368
|
||||
2.3577514457085824 24.655333902523985
|
||||
2.7724509467327523 23.99510156728321
|
||||
3.101073064604044 23.998650141460843
|
||||
3.0611307106833245 25.580095073641456
|
||||
2.9836650670570997 28.02150256390747
|
||||
2.767944828660806 29.32583406357721
|
||||
3.2977492237579575 26.29214567446453
|
||||
3.509752366187053 26.05561659895924
|
||||
3.6902723615878426 24.895917143417048
|
||||
3.468134284308305 24.44397009729808
|
||||
3.8809379450247494 23.14588781506479
|
||||
4.445759528069668 26.30251569408809
|
||||
4.179689373311847 24.673975774787817
|
||||
4.286305742022923 23.790961322628167
|
||||
4.616603382692932 25.131414170626826
|
||||
4.913755298669292 24.679246684101443
|
||||
5.296709631239145 23.581582461886754
|
||||
5.040586919016832 22.943693976492987
|
||||
4.9192080391357305 21.524178961745047
|
||||
2.8057207341882155 25.577153146629186
|
||||
5.707399207390559 23.583907351182233
|
||||
6.002283837346771 21.92610421406726
|
||||
6.547714573315105 22.33223203948944
|
||||
7.147463547975362 20.95364619571266
|
||||
8.091794963612895 21.93475220095214
|
||||
7.414450890782723 22.747003617969234
|
||||
7.4117103396422435 23.80816726002665
|
||||
7.407875269752266 25.377476861935904
|
||||
6.707787946910021 24.46526586984581
|
||||
9.747658509920964 23.38633920785961
|
||||
10.501130569943498 24.037324156745406
|
||||
11.0330832155357 25.160335710872054
|
||||
10.365874203823042 25.62131759999305
|
||||
12.79993734016203 27.820565335612148
|
||||
13.127411333538197 26.581436934213123
|
||||
13.802604334726778 25.39833394284629
|
||||
14.689935448804953 25.16984576537851
|
||||
13.981670145905074 24.046409737539996
|
||||
12.345411673306193 24.04245906313136
|
||||
13.138092473094165 24.044434319195126
|
||||
13.134207417179638 24.93767603393331
|
||||
14.4975104376071 27.572551401799
|
||||
16.21232215792386 28.34146123410482
|
||||
15.622755153061773 27.32495252117466
|
||||
17.2622236746448 26.591047220060872
|
||||
17.253291615617243 28.34378968324605
|
||||
17.03232554887369 29.93731885292788
|
||||
19.532817098527627 29.670922059622974
|
||||
19.54148435521353 28.091111324854964
|
||||
21.584207513879484 28.611901043506922
|
||||
18.35295647779691 29.94027034917495
|
||||
18.574567765516946 31.62459520176675
|
||||
22.944636449551577 32.808599943161525
|
||||
24.72003288529783 33.4157505206007
|
||||
23.50730689166101 35.61600079207824
|
||||
25.632054756888756 38.31580302071371
|
||||
26.954395049516194 35.94876702219261
|
||||
31.667232345313366 39.03192290876572
|
||||
30.493087504485278 41.22499977196252
|
||||
33.67812057650644 42.37393626619761
|
||||
35.38937597655966 43.552031042597214
|
Loading…
Reference in New Issue
Block a user