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H ˚ akan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 68 More solver, utility and library tutorials – how to learn yourself We will start by searching the source code for information on how to use solvers, utilities and libraries. Then we will learn how to use a small number of useful utilities and libraries. Some of them are described in the UserGuide and ProgrammersGuide, some are described in the OpenFOAM Wiki (e.g. Turbomachinery Working Group) and some of them have been discussed in the Forum. In your home assignment you will be asked to go through some of the written tutorials in the UserGuide and ProgrammersGuide, where you will find some written tutorials. It is HIGHLY recommended that you dig through ALL of the UserGuide and ProgrammersGuide (before complaining that there is not enough OpenFOAM documentation). If you find a utility, solver or library that is not described anywhere (or insuffi- ciently described), you can include a description of it in your project tutorial. I would prefer if you then use my L A T E X slide template, so that I can easily use it in coming courses (then please proved the raw tex-file and accompanying graphical files).

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Page 1: More solver,utility and library tutorials-how to learn yourself

Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 68

More solver, utility and library tutorials

– how to learn yourself

• We will start by searching the source code for information on how to use solvers,

utilities and libraries.

• Then we will learn how to use a small number of useful utilities and libraries.

Some of them are described in the UserGuide and ProgrammersGuide, some are

described in the OpenFOAM Wiki (e.g. Turbomachinery Working Group) and

some of them have been discussed in the Forum.

• In your home assignment you will be asked to go through some of the written

tutorials in the UserGuide and ProgrammersGuide, where you will find some

written tutorials. It is HIGHLY recommended that you dig through ALL of the

UserGuide and ProgrammersGuide (before complaining that there is not enough

OpenFOAM documentation).

• If you find a utility, solver or library that is not described anywhere (or insuffi-

ciently described), you can include a description of it in your project tutorial. I

would prefer if you then use my LATEX slide template, so that I can easily use it in

coming courses (then please proved the raw tex-file and accompanying graphical

files).

Page 2: More solver,utility and library tutorials-how to learn yourself

Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 69

How to search for solver tutorials in the source code

• Type tut to go to the $FOAM_TUTORIALS directory. Here you find manycase-setups for the solvers in OpenFOAM. Unfortunately, they are not

well-described. Describing these tutorials in words and figures may be

part of your project.

• Type:

tree -d -L 2 $FOAM_TUTORIALSto get a list of which solvers there are tutorial cases available.

• Type:

tree -d -L 1 $FOAM_TUTORIALS/incompressible/icoFoamto get a list of which tutorial cases are available for the icoFoam solver.

• All the solver tutorials have Allrun scripts that describe the use of thosetutorials. We will now have a look at the Allrun script of the$FOAM_TUTORIALS/incompressible/icoFoam tutorials. This is actu-ally what you will do manually when you do the cavity tutorials in theUserGuide. In other words, you can use the Allrun script as a shortsummary of the description in the UserGuide.

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Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 70

Run the icoFoam cavity tutorials using the Allrun script (1/7)

(Note that the following description shows the principle. There might be small differences in

exactly what is done by the Allrun script between versions.)

In the icoFoam tutorial directory there is an Allrun script.When running this script it is preferred to copy the entire directory to your run directory. Type:

cp -r $FOAM_TUTORIALS/incompressible/icoFoam $FOAM_RUNcd $FOAM_RUN/icoFoam./Allrun >& log_Allrun&

Looking in the Allrun script, you can see a list of cases that will be executed:

cavityCases="cavity cavityFine cavityGrade cavityHighRe cavityClipped"Some of those cases are actually created by the script.

At the end of the script it also runs the elbow case.The script contains Linux commands and calls for OpenFOAM applications in order to set up

and run the simulations.

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Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 71

Run the icoFoam cavity tutorials using the Allrun script (2/7)

The Allrun script for the icoFoam cavity tutorials actuallyfirst runs the cavity case

#Running blockMesh on cavity:blockMesh#Running icoFoam on cavity:icoFoam

Page 5: More solver,utility and library tutorials-how to learn yourself

Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 72

Run the icoFoam cavity tutorials using the Allrun script (3/7)

The Allrun script for the icoFoam cavity tutorials actuallythen runs the cavityFine case:

#Cloning cavityFine case from cavity:mkdir cavityFinecp -r cavity/{0,system,constant} cavityFine

[change "20 20 1" in blockMeshDict to "41 41 1"][set startTime in controlDict to 0.5][set endTime in controlDict to 0.7][set deltaT in controlDict to 0.0025][set writeControl in controlDict to runTime][set writeInterval in controlDict to 0.1]

#Running blockMesh on cavityFineblockMesh#Running mapFields from cavity to cavityFinemapFields -case cavity -sourceTime latestTime -consistent#Running icoFoam on cavityFineicoFoam

Page 6: More solver,utility and library tutorials-how to learn yourself

Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 73

Run the icoFoam cavity tutorials using the Allrun script (4/7)

The Allrun script for the icoFoam cavity tutorials actuallythen runs the cavityGrade case:

#Running blockMesh on cavityGradeblockMesh#Running mapFields from cavityFine to cavityGrademapFields -case cavityFine -sourceTime latestTime -consistent#Running icoFoam on cavityGradeicoFoam

Page 7: More solver,utility and library tutorials-how to learn yourself

Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 74

Run the icoFoam cavity tutorials using the Allrun script (5/7)

The Allrun script for the icoFoam cavity tutorials actuallythen runs the cavityHighRe case:

#Cloning cavityHighRe case from cavitymkdir cavityHighRecp -r cavity/{0,system,constant} cavityHighRe#Setting cavityHighRe to generate a secondary vortex

[set startFrom in controlDict to latestTime;][set endTime in controlDict to 2.0;][change 0.01 in transportProperties to 0.001]

#Copying cavity/0* directory to cavityHighRecp -r cavity/0* cavityHighRe#Running blockMesh on cavityHighReblockMesh#Running icoFoam on cavityHighReicoFoam

Page 8: More solver,utility and library tutorials-how to learn yourself

Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 75

Run the icoFoam cavity tutorials using the Allrun script (6/7)

The Allrun script for the icoFoam cavity tutorials actuallythen runs the cavityClipped case:

#Running blockMesh on cavityClippedblockMesh#Running mapFields from cavity to cavityClippedcp -r cavityClipped/0 cavityClipped/0.5mapFields -case cavity -sourceTime latestTime

[Reset the boundary condition for fixedWalls to:][ type fixedValue; ][ value uniform (0 0 0); ][ We do this since the fixedWalls got ][ interpolated values by cutting the domain ]

#Running icoFoam on cavityClippedicoFoam

Page 9: More solver,utility and library tutorials-how to learn yourself

Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 76

Run the icoFoam cavity tutorials using the Allrun script (7/7)

The Allrun script for the icoFoam cavity tutorials actuallyfinally runs the elbow case

Now, open each case with paraFoam and have a look.

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Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 77

Run ALL the tutorials using the Allrun scripts

We will not do this now!

• You can also run another Allrun script, located in the $FOAM_TUTORIALS direc-tory. This script will run through ALL the tutorials (calls Allrun in each solverdirectory).

• You can use this script as a tutorial of how to generate the meshes, how to run

the solvers, how to clone cases, how to map the results between different cases

etc.

Page 11: More solver,utility and library tutorials-how to learn yourself

Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 78

Finding tutorials for the utilities in OpenFOAM

• There are no ’case’ tutorials for the utilities, but we can search for examples:

find $WM_PROJECT_DIR -name \*Dict | grep -v blockMeshDict | grep -v controlDict

You will get a list of example dictionaries for the utilities that use a dictionary. Some of

those examples can be found next to the source code of each particular utility, and some

are also used in the solver tutorials. The ones that don’t use a dictionary are usually

easier to learn how to use, in particular when using the -help flag.

Now you should be ready to go on exploring the applications by yourself.

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Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 79

More tutorials can be found in

• The UserGuide

• The Programmer’s guide, chapter 3

• The OpenFOAMWiki

(in particular the Turbomachinery Working Group)

• The OpenFOAM Forum

We will now have a look at some utilities and libraries. Please feel free to improve/expand

these descriptions as part of your assignment (e.g. 2.0.x, figures etc.)! Use previously mentioned

dictionary hints to find alternatives for entries.

Page 13: More solver,utility and library tutorials-how to learn yourself

Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 80

The mapFields utility

• The mapFields utility maps the results of one case to another case. You will use thisutility when you do the cavityClipped tutorial in the UserGuide (Allrun:mapFields $1 -case $2 -sourceTime latestTime > $2/log.mapFields 2>&1)Try: mapFields cavity -case cavityClipped -sourceTime latestTime

• Usage (type mapFields -help, version dependent):mapFields <source dir> [-parallelTarget] [-consistent]

[-sourceTime scalar] [-parallelSource] [-case dir][-help] [-doc] [-srcDoc]

• The time used for the mapping is specified by startFrom/startTime in the target case.The flag -sourceTime can specify another time directory in the source case.

• The flag -consistent is used if the geometry and boundary conditions are identical inboth cases. This is useful when modifying the mesh density of a case. For non-consistent

cases a mapFieldsDict dictionary must be edited, see the icoFoam/cavityClippedtutorial.

• The flags -parallelSource and -parallelTarget are used if any, or both, of thecases are decomposed for parallel simulations.

Page 14: More solver,utility and library tutorials-how to learn yourself

Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 81

The sample utility

• The sample utility is used to produce graphs for publication or to extract surfaces. Youwill use this utility when you do the tutorials of the UserGuide, and when you do the

ercoftacConicalDiffuser case-study.

• Usage (sample -help, version dependent):sample [-latestTime] [-time ranges] [-parallel] [-constant]

[-noZero] [-case dir] [-region name] [-help] [-doc] [-srcDoc]

• Copy and modify sampleDict from the plateHole tutorial:

cd $FOAM_RUN/icoFoamcp $FOAM_TUTORIALS/stressAnalysis/solidDisplacementFoam/plateHole/system/sampleDict cavity/systemsed -i s/"leftPatch"/"horizontalLine"/g cavity/system/sampleDictsed -i s/"0 0.5 0.25"/"0.001 0.05 0.005"/g cavity/system/sampleDictsed -i s/"0 2 0.25"/"0.099 0.05 0.005"/g cavity/system/sampleDictsed -i s/"axis y"/"axis distance"/g cavity/system/sampleDictsed -i s/"sigmaxx"/"p"/g cavity/system/sampleDict

Running sample -case cavity, the pressure, p, is extracted along a horizontal lineat 100 points, and the results are written in cavity/sets.

• Plot in gnuplot:plot "cavity/sets/0.5/horizontalLine_p.xy"

• sample can also sample surfaces...

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Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 82

The sample utility - surfaces

• Additions for extracting surface cuts (an additional example is commented):

surfaceFormat vtk;

surfaces(

outputName{

//type patch;//patchName movingWall;//triangulate false;type plane;basePoint (0.05 0.05 0.005);normalVector (0 0 1);

});

• Run with sample -case cavity

• The result is written in cavity/surfaces

• Visualize the surfaces in paraview (File / Open and find a vtk file in thesurfaces directory).

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Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 83

The sample utility - interpolationScheme

• Use dummy entries to see the alternatives for interpolationScheme(interpolationScheme dummy;):

cellcellPointcellPointFacecellPointWallModified

(version dependent)

• See the source code for exact definitions (and help me expand this information):

$FOAM_UTILITIES/postProcessing/sampling/sample/sample.C

Page 17: More solver,utility and library tutorials-how to learn yourself

Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 84

The sample utility - formats

• Use dummy entries to see the alternatives for formats (version dependent):

• setFormat:

xmgrjplotgnuplotraw

• surfaceFormat:

foamFilenullrawvtk

• See the source code for exact definitions (and help me expand this information):

$FOAM_UTILITIES/postProcessing/sampling/sample/sample.C

Page 18: More solver,utility and library tutorials-how to learn yourself

Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 85

The sample utility - types

• Use dummy entries to see the alternatives for types (version dependent):

• Sets:

uniformmidPointAndFacefacemidPointcloudcurve

• Surfaces:

thresholdCellFacescuttingPlaneisoSurfaceCellpatchisoSurfacedistanceSurfaceplane

• See the source code for exact definitions (and help me expand this information):

$FOAM_UTILITIES/postProcessing/sampling/sample/sample.C

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Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 86

The foamCalc utility

• This utility calculates new fields from existing ones. This replaces some

of the utilities in previous versions of OpenFOAM, such as magU andUcomponents.

• Usage (NOTE that foamCalc doesn’t accept usual flags, and must be runfrom within the case directory):

foamCalc <calcType> <fieldName1 ... fieldNameN>

• To get a list of available <calcType>s, write:foamCalc xxx and get the following list (version dependent):randomise, magSqr, magGrad, addSubtract, div, mag,interpolate, components

• Examples:

foamCalc div U #(needs: div(U) Gauss linear; in: system/fvSchemes)foamCalc components U

• The new fields are written in the time directories.

• An advanced user could try to find out how to add a <calcType>

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Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 87

The setFields utility

• The setFields utility is used to set values to the fields in specific regions. You will usethis when you do the interFoam/damBreak tutorial in the UserGuide.

• Usage (setFields -help, version dependent):setFields [-latestTime] [-time ranges] [-parallel]

[-constant] [-noZero] [-case dir] [-help] [-doc] [-srcDoc]

• A setFieldsDict dictionary is used. Find an example in the damBreak tutorial:

cd $FOAM_RUN/cavitycp $FOAM_TUTORIALS/multiphase/interFoam/ras/damBreak/system/setFieldsDict cavity/system/sed -i s/"alpha1"/"p"/g cavity/system/setFieldsDictsed -i s/"box (0 0 -1) (0.1461 0.292 1)"/"box (0 0 -1) (0.05 0.05 1)"/g cavity/system/setFieldsDictsetFields -case cavity

- The defaultFieldValues sets the default values of the fields.

- A boxToCell bounding box is used to define a set of cells where the fieldValuesshould be different than the defaultFieldValues.

- Use a dummy instead of boxToCell to see the topoSetSource alternatives.

- An advanced user could describe different topoSetSource’s

Page 21: More solver,utility and library tutorials-how to learn yourself

Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 88

The funkySetFields, groovyBC and swak4Foam utilities

This are really useful community contributions!

• funkySetFields is a development of the setFields utility, and it includes the optionof specifying mathematical expressions etc.:

http://openfoamwiki.net/index.php/Contrib_funkySetFields

• The groovyBC utility is similar, but for boundaries:http://openfoamwiki.net/index.php/Contrib_groovyBCIt should be noted that in 2.0.x, there is a new way of setting boundary conditions similar

to groovyBC, but with C++ syntax.

• The above have now been merged into swak4Foam:

http://openfoamwiki.net/index.php/Contrib/swak4Foamhttp://www.openfoamworkshop.org/6th_OpenFOAM_Workshop_2011/Program/Training/gschaider_slides.pdfhttp://www.openfoamworkshop.org/6th_OpenFOAM_Workshop_2011/Program/Training/gschaider_material.tgz

Page 22: More solver,utility and library tutorials-how to learn yourself

Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 89

The foamToVTK, checkMesh, and flattenMesh utilities

• The foamToVTK utility can be used in many different ways. Example:

• The two empty sides of a 2D mesh must have the same mesh distribution. Add 0.0001to the z-position of one of the constant/polyMesh/points of the cavity case.

• The checkMesh utility can be used to verify this. If not, it will complain:

***Number of edges not aligned with or perpendicular to non-empty directions: ????Writing ???? points on non-aligned edges to set nonAlignedEdges

• The point labels are written to constant/polyMesh/sets/nonAlignedEdges

• Take the opportunity to visualize the point set in paraFoam: First open the cavity casein paraFoam, then use File/Open <case>.OpenFOAM to read in the same case again.This time mark Include Sets, mark onlyMesh Parts/NonAlignedEdges, and visualizeusing box glyphs.

• Another way to view the problematic points in paraview (not paraFoam):

foamToVTK -case cavity -pointSet nonAlignedEdges

The result appears in the VTK directory.

• The flattenMesh utility can sometimes fix the problem, like in this case.

Page 23: More solver,utility and library tutorials-how to learn yourself

Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 90

The transformPoints utility

• Moves, rotates and scales the mesh.

• Usage (transformPoints -help, version dependent):

transformPoints [-translate vector] [-yawPitchRoll (yaw pitch roll)][-rotateFields] [-parallel] [-rotate (vector vector)][-rollPitchYaw (roll pitch yaw)] [-scale vector] [-case dir][-help] [-doc] [-srcDoc]

• Example:

runcp -r cavity cavityMovedtransformPoints -case cavityMoved -translate "(0.1 0 0)"

• Have a look in paraFoam:

runtouch cavityMoved/cavityMoved.OpenFOAMparaFoam -case cavity

Click Accept and then use File/Open to open the cavityMoved.OpenFOAM file at thesame time.

Page 24: More solver,utility and library tutorials-how to learn yourself

Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 91

The mergeMeshes utility

• Takes the meshes from two different cases and merges them into the master case.

• mergeMeshes reads the system/controlDict of both cases and uses the startTime,so be careful if you have a moving mesh for example. The first case that you specify

will be the master, and a new time (startTime+deltaT) will be written in which a newpolymesh is located. Move it to the correct position (constant/polyMesh), and youhave a case with the merged mesh.

• Example (start from clean cases):

runcp -r $FOAM_TUTORIALS/incompressible/icoFoam/cavity cavityMergedcp -r $FOAM_TUTORIALS/incompressible/icoFoam/cavity cavityTransformedblockMesh -case cavityMergedblockMesh -case cavityTransformedtransformPoints -case cavityTransformed -translate "(0.1 0 0)"mergeMeshes . cavityMerged . cavityTransformed #No dots in 2.0.x!mv cavityMerged/0.005/polyMesh/* cavityMerged/constant/polyMesh

• Note that the two meshes will keep all their original boundary conditions, so they are

not automatically coupled. Try icoFoam! To couple the meshes, use stitchMesh...

Page 25: More solver,utility and library tutorials-how to learn yourself

Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 92

The stitchMesh utility

• Couples two uncoupled parts of the mesh that belong to the same case.

• You should have a patch in one part of the mesh (masterPatch) that fits with a corre-sponding patch on the other part of the mesh (slavePatch). If you have that, then thecommand is:

stitchMesh masterPatch slavePatch

• masterPatch and slavePatch are important, as the face and cell numbers will berenamed after the masterPatch.

• After stitchMesh, masterPatch and slavePatch are still present in the newpolymesh/boundary, but they are empty so just delete them. The same thing can bedone as well for the boundary conditions in the 0 folder.

• We have to re-organize the patches for this to work with our cavityMerged case.

• See www.openfoamwiki.net for more details:http://openfoamwiki.net/index.php/Sig_Turbomachinery_/_ERCOFTAC_centrifugal_pump_with_a_vaned_diffuser#stitchMesh

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Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 93

The decomposePar utility

• decomposePar makes a domain decomposition for parallel computations. This is de-scribed in the UserGuide.

• Usage:

decomposePar [-fields] [-force] [-copyUniform] [-cellDist][-filterPatches] [-ifRequired] [-case dir] [-region name][-help] [-doc] [-srcDoc]

• A decomposeParDict specifies how the grid should be decomposed. An example can befound in the interFoam/damBreak tutorial: system/decomposeParDict.

• There are some different alternatives for which method to use for the decomposition.

See the UserGuide. numberOfSubdomains specifies the number of subdomains the gridshould be decomposed into. Make sure that you specify the same number of subdomains

in the specific decomposition method you will use, otherwise your simulation might not

run optimal.

• We will discuss parallel processing later on.

Page 27: More solver,utility and library tutorials-how to learn yourself

Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 94

The reconstructPar utility

• reconstructPar is the reverse of decomposePar, reassembling the grid and the re-sults.

• Usage:

reconstructPar [-zeroTime] [-fields "(list of fields)"][-latestTime] [-time ranges] [-constant] [-noZero][-noLagrangian] [-case dir] [-region name][-help] [-doc] [-srcDoc]

• This is usually done for post-processing, although it is also possible to post-process each

domain separately by treating an individual processor directory as a separate case when

starting paraFoam.

• We will discuss parallel processing later on.

Page 28: More solver,utility and library tutorials-how to learn yourself

Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 95

functionObjects

• functionObjects are general libraries that can be attached run-time to any

solver, without having to re-compile the solver.

• An example can be found in the incompressible/pisoFoam/les/pitzDailytutorial.

• A functionObject is added to a solver by adding a functions entry insystem/controlDict

• You can find functionObjects in the source code, in the OpenFOAMWiki (www.openfoamwiki.net), and in the OpenFOAM-extend project(www.sourceforge.net).

• Search the tutorials for examples using:

grep -r functionObjectLibs $FOAM_TUTORIALS

• The implementations can be found in:

$FOAM_SRC/postProcessing/functionObjects

• I need your help documenting this.

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Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 96

The probes and fieldAverage functionObjects

• The probes functionObject probes the development of the results during a

simulation, writing to a file in the directory probes.

• The fieldAverage functionObject calculates the time-average of specified

fields and writes the results in the time directories.

• Copy and modify the functions part at the end of the controlDict ofthe incompressible/pisoFoam/les/pitzDaily tutorial to your caseand run it.

• Visualize the output file of sample in Gnuplot:

plot "probes/0/p" using 1:2,"probes/0/p" using 1:3

• Visualize the output from fieldAverage in paraFoam.

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Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 97

The surfaces functionObjectsThe surfaces functionObject writes out surface interpolated results to disk.If the surfaceFormat is VTK, those can be viewed in paraview.Two examples (see the commented lines for the second one):

functions(pressure{

type surfaces;functionObjectLibs ("libsampling.so");outputControl timeStep;outputInterval 1;surfaceFormat vtk;fields ( p );surfaces(

walls{

//type patch;//patchName movingWall;//triangulate false;type plane;normalVector (0 0 1);basePoint (0 0 0.005);

} ); } );

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Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 98

The forceCoeffs functionObject

• The forceCoeffs functionObject prints out the lift and drag coefficients.

• See the sonicFoam/ras tutorial: system/controlDict

• Note that you must specify realistic reference values!

• See the source code for the details!

Page 32: More solver,utility and library tutorials-how to learn yourself

Hakan Nilsson, Chalmers / Applied Mechanics / Fluid Dynamics 99

More functionObjects

• http://openfoamwiki.net/index.php/Contrib_simpleFunctionObjects

• http://openfoamwiki.net/index.php/Sig_Turbomachienry_/_ERCOFTAC_centrifugal_pump_with_a_vaned_diffuser#Optional_tools