foam-extend4.1-coherent-io/applications/utilities/preProcessing/viewFactorsGen/viewFactorsGen.C

/*---------------------------------------------------------------------------*\
  =========                 |
  \\      /  F ield         | foam-extend: Open Source CFD
   \\    /   O peration     | Version:     4.1
    \\  /    A nd           | Web:         http://www.foam-extend.org
     \\/     M anipulation  | For copyright notice see file Copyright
-------------------------------------------------------------------------------
License
    This file is part of foam-extend.

    foam-extend is free software: you can redistribute it and/or modify it
    under the terms of the GNU General Public License as published by the
    Free Software Foundation, either version 3 of the License, or (at your
    option) any later version.

    foam-extend is distributed in the hope that it will be useful, but
    WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
    General Public License for more details.

    You should have received a copy of the GNU General Public License
    along with foam-extend.  If not, see <http://www.gnu.org/licenses/>.

Application
    viewFactorGenerator

Description
    View factors are calculated based on a face agglomeration array
    (finalAgglom generated by faceAgglomerate utility).

    Each view factor between the agglomerated faces i and j (Fij) is calculated
    using a double integral of the sub-areas composing the agglomaration.

    The patches involved in the view factor calculation are taken from the Qr
    volScalarField (radiative flux) when is greyDiffusiveRadiationViewFactor
    otherwise they are not included.

\*---------------------------------------------------------------------------*/

#include "argList.H"
#include "foamTime.H"
#include "fvMesh.H"
#include "volFields.H"
#include "surfaceFields.H"
#include "distributedTriSurfaceMesh.H"
#include "triSurfaceTools.H"
#include "mapDistribute.H"

#include "OFstream.H"
#include "meshTools.H"
#include "plane.H"
#include "uindirectPrimitivePatch.H"
#include "DynamicField.H"
#include "IFstream.H"
#include "unitConversion.H"

#include "mathematicalConstants.H"
#include "scalarMatrices.H"
#include "CompactListList.H"
#include "labelIOList.H"
#include "labelIOList.H"
#include "scalarIOList.H"

#include "singleCellFvMesh.H"
#include "IOdictionary.H"
#include "fixedValueFvPatchFields.H"

using namespace Foam;

void writeRays
(
    const fileName& fName,
    const pointField& compactCf,
    const pointField& myFc,
    const labelListList& visibleFaceFaces
)
{
    OFstream str(fName);
    label vertI = 0;

    Pout<< "Dumping rays to " << str.name() << endl;

    forAll (myFc, faceI)
    {
        const labelList visFaces = visibleFaceFaces[faceI];

        forAll (visFaces, faceRemote)
        {
            label compactI = visFaces[faceRemote];
            const point& remoteFc = compactCf[compactI];

            meshTools::writeOBJ(str, myFc[faceI]);
            vertI++;
            meshTools::writeOBJ(str, remoteFc);
            vertI++;
            str << "l " << vertI-1 << ' ' << vertI << nl;
        }
    }
    string cmd("objToVTK " + fName + " " + fName.lessExt() + ".vtk");
    Pout<< "cmd:" << cmd << endl;

    system(cmd);
}


scalar calculateViewFactorFij
(
    const vector& i,
    const vector& j,
    const vector& dAi,
    const vector& dAj
)
{
    vector r = i - j;
    scalar rMag = mag(r);
    scalar dAiMag = mag(dAi);
    scalar dAjMag = mag(dAj);

    vector ni = dAi/dAiMag;
    vector nj = dAj/dAjMag;
    scalar cosThetaJ = mag(nj & r)/rMag;
    scalar cosThetaI = mag(ni & r)/rMag;

    return
    (
        (cosThetaI*cosThetaJ*dAjMag*dAiMag)
        /(sqr(rMag)*mathematicalConstant::pi)
    );
}


void insertMatrixElements
(
    const globalIndex& globalNumbering,
    const label fromProcI,
    const labelListList& globalFaceFaces,
    const scalarListList& viewFactors,
    scalarSquareMatrix& matrix
)
{
    forAll (viewFactors, faceI)
    {
        const scalarList& vf = viewFactors[faceI];
        const labelList& globalFaces = globalFaceFaces[faceI];

        label globalI = globalNumbering.toGlobal(fromProcI, faceI);
        forAll (globalFaces, i)
        {
            matrix[globalI][globalFaces[i]] = vf[i];
        }
    }
}


// * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //

int main(int argc, char *argv[])
{
#   include "addRegionOption.H"
#   include "setRootCase.H"
#   include "createTime.H"
#   include "createNamedMesh.H"

    // Read view factor dictionary
    IOdictionary viewFactorDict
    (
       IOobject
       (
            "viewFactorsDict",
            runTime.constant(),
            mesh,
            IOobject::READ_IF_PRESENT,
            IOobject::NO_WRITE
       )
    );

    const bool writeViewFactors =
        viewFactorDict.lookupOrDefault<bool>("writeViewFactorMatrix", false);

    const bool dumpRays =
        viewFactorDict.lookupOrDefault<bool>("dumpRays", false);

    const label debug = viewFactorDict.lookupOrDefault<label>("debug", 0);

    volScalarField Qr
    (
        IOobject
        (
            "Qr",
            runTime.timeName(),
            mesh,
            IOobject::MUST_READ,
            IOobject::NO_WRITE
        ),
        mesh
    );

    // Read agglomeration map
    labelListIOList finalAgglom
    (
        IOobject
        (
            "finalAgglom",
            mesh.facesInstance(),
            mesh,
            IOobject::MUST_READ,
            IOobject::NO_WRITE,
            false
        )
    );

    // Create the coarse mesh  using agglomeration
    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

    if (debug)
    {
        Info << "\nCreating single cell mesh..." << endl;
    }

    singleCellFvMesh coarseMesh
    (
        IOobject
        (
            mesh.name(),
            runTime.timeName(),
            runTime,
            IOobject::NO_READ,
            IOobject::NO_WRITE
        ),
        mesh,
        finalAgglom
    );


    // Calculate total number of fine and coarse faces
    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

    label nCoarseFaces = 0;      // total number of coarse faces
    label nFineFaces = 0;        // total number of fine faces

    const polyBoundaryMesh& patches = mesh.boundaryMesh();
    const polyBoundaryMesh& coarsePatches = coarseMesh.boundaryMesh();

    labelList viewFactorsPatches(patches.size());

    const volScalarField::GeometricBoundaryField& Qrb = Qr.boundaryField();

    label count = 0;
    forAll (Qrb, patchI)
    {
        const polyPatch& pp = patches[patchI];
        const fvPatchScalarField& QrpI = Qrb[patchI];

        if ((isA<fixedValueFvPatchScalarField>(QrpI)) && (pp.size() > 0))
        {
            viewFactorsPatches[count] = QrpI.patch().index();
            nCoarseFaces += coarsePatches[patchI].size();
            nFineFaces += patches[patchI].size();
            count++;
        }
    }

    viewFactorsPatches.resize(count--);

    // total number of coarse faces
    label totalNCoarseFaces = nCoarseFaces;

    reduce(totalNCoarseFaces, sumOp<label>());

    if (totalNCoarseFaces == 0)
    {
        WarningIn(args.executable())
            << "No coarse faces detected: no rays." << nl
            << "This is probably not intended: please reconsider case setup"
            << endl;

        return 0;
    }

    if (count == 0)
    {
        WarningIn(args.executable())
            << "No radiation patches detected: no rays." << nl
            << "This is probably not intended: please reconsider case setup"
            << endl;

        return 0;
    }

    if (Pstream::master())
    {
        Info << "\nTotal number of coarse faces: "<< totalNCoarseFaces << endl;
    }

    if (Pstream::master() && debug)
    {
        Pout << "\nView factor patches included in the calculation : "
             << viewFactorsPatches << endl;
    }

    // Collect local Cf and Sf on coarse mesh
    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

    DynamicList<point> localCoarseCf(nCoarseFaces);
    DynamicList<point> localCoarseSf(nCoarseFaces);

    forAll (viewFactorsPatches, i)
    {
        const label patchID = viewFactorsPatches[i];

        const polyPatch& pp = patches[patchID];
        const labelList& agglom = finalAgglom[patchID];
        label nAgglom = max(agglom)+1;
        labelListList coarseToFine(invertOneToMany(nAgglom, agglom));
        const labelList& coarsePatchFace = coarseMesh.patchFaceMap()[patchID];

        const pointField& coarseCf = coarseMesh.Cf().boundaryField()[patchID];
        const pointField& coarseSf = coarseMesh.Sf().boundaryField()[patchID];

        forAll (coarseCf, faceI)
        {
            point cf = coarseCf[faceI];
            const label coarseFaceI = coarsePatchFace[faceI];
            const labelList& fineFaces = coarseToFine[coarseFaceI];
            // Construct single face
            uindirectPrimitivePatch upp
            (
                UIndirectList<face>(pp, fineFaces),
                pp.points()
            );

            List<point> availablePoints
            (
                upp.faceCentres().size()
              + upp.localPoints().size()
            );

            SubList<point>
            (
                availablePoints,
                upp.faceCentres().size()
            ).assign(upp.faceCentres());

            SubList<point>
            (
                availablePoints,
                upp.localPoints().size(),
                upp.faceCentres().size()
            ).assign(upp.localPoints());

            point cfo = cf;
            scalar dist = GREAT;
            forAll (availablePoints, iPoint)
            {
                point cfFine = availablePoints[iPoint];
                if(mag(cfFine-cfo) < dist)
                {
                    dist = mag(cfFine-cfo);
                    cf = cfFine;
                }
            }

            point sf = coarseSf[faceI];
            localCoarseCf.append(cf);
            localCoarseSf.append(sf);
        }
    }

    // Collect remote Cf and Sf on coarse mesh
    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

    List<pointField> remoteCoarseCf(Pstream::nProcs());
    List<pointField> remoteCoarseSf(Pstream::nProcs());

    remoteCoarseCf[Pstream::myProcNo()] = localCoarseCf;
    remoteCoarseSf[Pstream::myProcNo()] = localCoarseSf;

    // Collect remote Cf and Sf on fine mesh
    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

    List<pointField> remoteFineCf(Pstream::nProcs());
    List<pointField> remoteFineSf(Pstream::nProcs());

    remoteCoarseCf[Pstream::myProcNo()] = localCoarseCf;
    remoteCoarseSf[Pstream::myProcNo()] = localCoarseSf;

    // Distribute local coarse Cf and Sf for shooting rays
    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

    Pstream::gatherList(remoteCoarseCf);
    Pstream::scatterList(remoteCoarseCf);
    Pstream::gatherList(remoteCoarseSf);
    Pstream::scatterList(remoteCoarseSf);


    // Set up searching engine for obstacles
    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
    #include "searchingEngine.H"


    // Determine rays between coarse face centres
    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
    dynamicLabelList rayStartFace(nCoarseFaces + 0.01*nCoarseFaces);

    dynamicLabelList rayEndFace(rayStartFace.size());

    globalIndex globalNumbering(nCoarseFaces);


    // Return rayStartFace in local index andrayEndFace in global index
    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

#   include "shootRays.H"

    // Calculate number of visible faces from local index
    labelList nVisibleFaceFaces(nCoarseFaces, 0);

    forAll (rayStartFace, i)
    {
        nVisibleFaceFaces[rayStartFace[i]]++;
    }

    labelListList visibleFaceFaces(nCoarseFaces);

    label nViewFactors = 0;
    forAll (nVisibleFaceFaces, faceI)
    {
        visibleFaceFaces[faceI].setSize(nVisibleFaceFaces[faceI]);
        nViewFactors += nVisibleFaceFaces[faceI];
    }


    // - Construct compact numbering
    // - return map from remote to compact indices
    //   (per processor (!= myProcNo) a map from remote index to compact index)
    // - construct distribute map
    // - renumber rayEndFace into compact addressing

    List<Map<label> > compactMap(Pstream::nProcs());

    mapDistribute map(globalNumbering, rayEndFace, compactMap);

    labelListIOList IOsubMap
    (
        IOobject
        (
            "subMap",
            mesh.facesInstance(),
            mesh,
            IOobject::NO_READ,
            IOobject::NO_WRITE,
            false
        ),
        map.subMap()
    );
    IOsubMap.write();


    labelListIOList IOconstructMap
    (
        IOobject
        (
            "constructMap",
            mesh.facesInstance(),
            mesh,
            IOobject::NO_READ,
            IOobject::NO_WRITE,
            false
        ),
        map.constructMap()
    );
    IOconstructMap.write();


    IOList<label> consMapDim
    (
        IOobject
        (
            "constructMapDim",
            mesh.facesInstance(),
            mesh,
            IOobject::NO_READ,
            IOobject::NO_WRITE,
            false
        ),
        labelList(1, map.constructSize())
    );
    consMapDim.write();


    // visibleFaceFaces has:
    //    (local face, local viewed face) = compact viewed face
    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

    nVisibleFaceFaces = 0;
    forAll (rayStartFace, i)
    {
        label faceI = rayStartFace[i];
        label compactI = rayEndFace[i];
        visibleFaceFaces[faceI][nVisibleFaceFaces[faceI]++] = compactI;
    }


    // Construct data in compact addressing
    // I need coarse Sf (Ai), fine Sf (dAi) and fine Cf(r) to calculate Fij
    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

    pointField compactCoarseCf(map.constructSize(), pTraits<vector>::zero);
    pointField compactCoarseSf(map.constructSize(), pTraits<vector>::zero);
    List<List<point> > compactFineSf(map.constructSize());
    List<List<point> > compactFineCf(map.constructSize());

    dynamicLabelList compactPatchId(map.constructSize());

    // Insert my coarse local values
    SubList<point>(compactCoarseSf, nCoarseFaces).assign(localCoarseSf);
    SubList<point>(compactCoarseCf, nCoarseFaces).assign(localCoarseCf);

    // Insert my fine local values
    label compactI = 0;
    forAll (viewFactorsPatches, i)
    {
        label patchID = viewFactorsPatches[i];
        const labelList& agglom = finalAgglom[patchID];
        label nAgglom = max(agglom)+1;
        labelListList coarseToFine(invertOneToMany(nAgglom, agglom));
        const labelList& coarsePatchFace = coarseMesh.patchFaceMap()[patchID];

        forAll (coarseToFine, coarseI)
        {
            compactPatchId.append(patchID);
            List<point>& fineCf = compactFineCf[compactI];
            List<point>& fineSf = compactFineSf[compactI++];

            const label coarseFaceI = coarsePatchFace[coarseI];
            const labelList& fineFaces = coarseToFine[coarseFaceI];

            fineCf.setSize(fineFaces.size());
            fineSf.setSize(fineFaces.size());

            fineCf = UIndirectList<point>
            (
                mesh.Cf().boundaryField()[patchID],
                coarseToFine[coarseFaceI]
            );
            fineSf = UIndirectList<point>
            (
                mesh.Sf().boundaryField()[patchID],
                coarseToFine[coarseFaceI]
            );
        }
    }

    // Do all swapping
    map.distribute(compactCoarseSf);
    map.distribute(compactCoarseCf);
    map.distribute(compactFineCf);
    map.distribute(compactFineSf);

    map.distribute(compactPatchId);


    // Plot all rays between visible faces.
    if (dumpRays)
    {
        writeRays
        (
            runTime.path()/"allVisibleFaces.obj",
            compactCoarseCf,
            remoteCoarseCf[Pstream::myProcNo()],
            visibleFaceFaces
        );
    }


    // Fill local view factor matrix
    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

    scalarListIOList F
    (
        IOobject
        (
            "F",
            mesh.facesInstance(),
            mesh,
            IOobject::NO_READ,
            IOobject::NO_WRITE,
            false
        ),
        nCoarseFaces
    );

    label totalPatches = coarsePatches.size();
    reduce(totalPatches, maxOp<label>());

    // Matrix sum in j(Fij) for each i (if enclosure sum = 1
    scalarSquareMatrix sumViewFactorPatch(totalPatches, 0);

    scalarList patchArea(totalPatches, scalar(0));

    if (Pstream::master())
    {
        Info<< "\nCalculating view factors..." << endl;
    }

    if (mesh.nSolutionD() == 3)
    {
        forAll (localCoarseSf, coarseFaceI)
        {
            const List<point>& localFineSf = compactFineSf[coarseFaceI];
            const vector Ai = sum(localFineSf);
            const List<point>& localFineCf = compactFineCf[coarseFaceI];
            const label fromPatchId = compactPatchId[coarseFaceI];
            patchArea[fromPatchId] += mag(Ai);

            const labelList& visCoarseFaces = visibleFaceFaces[coarseFaceI];

            forAll (visCoarseFaces, visCoarseFaceI)
            {
                F[coarseFaceI].setSize(visCoarseFaces.size());
                label compactJ = visCoarseFaces[visCoarseFaceI];
                const List<point>& remoteFineSj = compactFineSf[compactJ];
                const List<point>& remoteFineCj = compactFineCf[compactJ];

                const label toPatchId = compactPatchId[compactJ];

                scalar Fij = 0;
                forAll (localFineSf, i)
                {
                    const vector& dAi = localFineSf[i];
                    const vector& dCi = localFineCf[i];

                    forAll (remoteFineSj, j)
                    {
                        const vector& dAj = remoteFineSj[j];
                        const vector& dCj = remoteFineCj[j];

                        scalar dIntFij = calculateViewFactorFij
                        (
                            dCi,
                            dCj,
                            dAi,
                            dAj
                        );

                        Fij += dIntFij;
                    }
                }
                F[coarseFaceI][visCoarseFaceI] = Fij/mag(Ai);
                sumViewFactorPatch[fromPatchId][toPatchId] += Fij;
            }
        }
    }
    else if (mesh.nSolutionD() == 2)
    {
        const boundBox& box = mesh.bounds();
        const Vector<label>& dirs = mesh.geometricD();
        vector emptyDir = vector::zero;
        forAll (dirs, i)
        {
            if (dirs[i] == -1)
            {
                emptyDir[i] = 1.0;
            }
        }

        scalar wideBy2 = (box.span() & emptyDir)*2.0;

        forAll (localCoarseSf, coarseFaceI)
        {
            const vector& Ai = localCoarseSf[coarseFaceI];
            const vector& Ci = localCoarseCf[coarseFaceI];
            vector Ain = Ai/mag(Ai);
            vector R1i = Ci + (mag(Ai)/wideBy2)*(Ain ^ emptyDir);
            vector R2i = Ci - (mag(Ai)/wideBy2)*(Ain ^ emptyDir) ;

            const label fromPatchId = compactPatchId[coarseFaceI];
            patchArea[fromPatchId] += mag(Ai);

            const labelList& visCoarseFaces = visibleFaceFaces[coarseFaceI];
            forAll (visCoarseFaces, visCoarseFaceI)
            {
                F[coarseFaceI].setSize(visCoarseFaces.size());
                label compactJ = visCoarseFaces[visCoarseFaceI];
                const vector& Aj = compactCoarseSf[compactJ];
                const vector& Cj = compactCoarseCf[compactJ];

                const label toPatchId = compactPatchId[compactJ];

                vector Ajn = Aj/mag(Aj);
                vector R1j = Cj + (mag(Aj)/wideBy2)*(Ajn ^ emptyDir);
                vector R2j = Cj - (mag(Aj)/wideBy2)*(Ajn ^ emptyDir);

                scalar d1 = mag(R1i - R2j);
                scalar d2 = mag(R2i - R1j);
                scalar s1 = mag(R1i - R1j);
                scalar s2 = mag(R2i - R2j);

                scalar Fij = mag((d1 + d2) - (s1 + s2))/(4.0*mag(Ai)/wideBy2);

                F[coarseFaceI][visCoarseFaceI] = Fij;
                sumViewFactorPatch[fromPatchId][toPatchId] += Fij*mag(Ai);
            }
        }
    }

    if (Pstream::master())
    {
        Info << "Writing view factor matrix..." << endl;
    }

    // Write view factors matrix in listList form
    F.write();

    reduce(sumViewFactorPatch, sumOp<scalarSquareMatrix>());
    reduce(patchArea, sumOp<scalarList>());


    if (Pstream::master() && debug)
    {
        forAll (viewFactorsPatches, i)
        {
            label patchI =  viewFactorsPatches[i];
            forAll (viewFactorsPatches, i)
            {
                label patchJ =  viewFactorsPatches[i];
                Info << "F" << patchI << patchJ << ": "
                     << sumViewFactorPatch[patchI][patchJ]/patchArea[patchI]
                     << endl;
            }
        }
    }


    if (writeViewFactors)
    {
        volScalarField viewFactorField
        (
            IOobject
            (
                "viewFactorField",
                mesh.time().timeName(),
                mesh,
                IOobject::NO_READ,
                IOobject::NO_WRITE
            ),
            mesh,
            dimensionedScalar("viewFactorField", dimless, 0)
        );

        label compactI = 0;
        forAll (viewFactorsPatches, i)
        {
            label patchID = viewFactorsPatches[i];
            const labelList& agglom = finalAgglom[patchID];
            label nAgglom = max(agglom)+1;
            labelListList coarseToFine(invertOneToMany(nAgglom, agglom));
            const labelList& coarsePatchFace =
                coarseMesh.patchFaceMap()[patchID];

            forAll (coarseToFine, coarseI)
            {
                const scalar Fij = sum(F[compactI]);
                const label coarseFaceID = coarsePatchFace[coarseI];
                const labelList& fineFaces = coarseToFine[coarseFaceID];
                forAll (fineFaces, fineId)
                {
                    const label faceID = fineFaces[fineId];
                    viewFactorField.boundaryField()[patchID][faceID] = Fij;
                }
                compactI++;
            }
        }
        viewFactorField.write();
    }


    // Invert compactMap (from processor+localface to compact) to go
    // from compact to processor+localface (expressed as a globalIndex)
    // globalIndex globalCoarFaceNum(coarseMesh.nFaces());
    labelList compactToGlobal(map.constructSize());

    // Local indices first (note: are not in compactMap)
    for (label i = 0; i < globalNumbering.localSize(); i++)
    {
        compactToGlobal[i] = globalNumbering.toGlobal(i);
    }


    forAll (compactMap, procI)
    {
        const Map<label>& localToCompactMap = compactMap[procI];

        forAllConstIter(Map<label>, localToCompactMap, iter)
        {
            compactToGlobal[iter()] = globalNumbering.toGlobal
            (
                procI,
                iter.key()
            );
        }
    }


    if (Pstream::master())
    {
        scalarSquareMatrix Fmatrix(totalNCoarseFaces, 0);

        labelListList globalFaceFaces(visibleFaceFaces.size());

        // Create globalFaceFaces needed to insert view factors
        // in F to the global matrix Fmatrix
        forAll (globalFaceFaces, faceI)
        {
            globalFaceFaces[faceI] = renumber
            (
                compactToGlobal,
                visibleFaceFaces[faceI]
            );
        }

        labelListIOList IOglobalFaceFaces
        (
            IOobject
            (
                "globalFaceFaces",
                mesh.facesInstance(),
                mesh,
                IOobject::NO_READ,
                IOobject::NO_WRITE,
                false
            ),
            globalFaceFaces
        );
        IOglobalFaceFaces.write();
    }
    else
    {
        labelListList globalFaceFaces(visibleFaceFaces.size());
        forAll (globalFaceFaces, faceI)
        {
            globalFaceFaces[faceI] = renumber
            (
                compactToGlobal,
                visibleFaceFaces[faceI]
            );
        }

        labelListIOList IOglobalFaceFaces
        (
            IOobject
            (
                "globalFaceFaces",
                mesh.facesInstance(),
                mesh,
                IOobject::NO_READ,
                IOobject::NO_WRITE,
                false
            ),
            globalFaceFaces
        );

        IOglobalFaceFaces.write();
    }

    Info<< "End\n" << endl;
    return 0;
}


// ************************************************************************* //