fvMeshAdderTemplates.C

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    This file is part of OpenFOAM.
 
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    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.
 
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    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
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#include "volFields.H"
#include "surfaceFields.H"
#include "pointFields.H"
#include "directFvPatchFieldMapper.H"
#include "directPointPatchFieldMapper.H"
#include "reverseFvPatchFieldMapper.H"
#include "reversePointPatchFieldMapper.H"
 
// * * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * //
 
template<class Type>
void Foam::fvMeshAdder::MapVolField
(
    const mapAddedPolyMesh& meshMap,
 
    VolField<Type>& fld,
    const VolField<Type>& fldToAdd
)
{
    const fvMesh& mesh = fld.mesh();
 
    // Internal field
    // ~~~~~~~~~~~~~~
 
    {
        // Store old internal field
        Field<Type> oldInternalField(fld.primitiveField());
 
        // Modify internal field
        Field<Type>& intFld = fld.primitiveFieldRef();
 
        intFld.setSize(mesh.nCells());
 
        intFld.rmap(oldInternalField, meshMap.oldCellMap());
        intFld.rmap(fldToAdd.primitiveField(), meshMap.addedCellMap());
    }
 
 
    // Patch fields from old mesh
    // ~~~~~~~~~~~~~~~~~~~~~~~~~~
 
    typename VolField<Type>::
    Boundary& bfld = fld.boundaryFieldRef();
 
    {
        const labelList& oldPatchMap = meshMap.oldPatchMap();
        const labelList& oldPatchStarts = meshMap.oldPatchStarts();
        const labelList& oldPatchSizes = meshMap.oldPatchSizes();
 
        // Reorder old patches in order of new ones. Put removed patches at end.
 
        label unusedPatchi = 0;
 
        forAll(oldPatchMap, patchi)
        {
            const label newPatchi = oldPatchMap[patchi];
 
            if (newPatchi != -1)
            {
                unusedPatchi++;
            }
        }
 
        label nUsedPatches = unusedPatchi;
 
        // Reorder list for patchFields
        labelList oldToNew(oldPatchMap.size());
 
        forAll(oldPatchMap, patchi)
        {
            const label newPatchi = oldPatchMap[patchi];
 
            if (newPatchi != -1)
            {
                oldToNew[patchi] = newPatchi;
            }
            else
            {
                oldToNew[patchi] = unusedPatchi++;
            }
        }
 
 
        // Sort deleted ones last so is now in newPatch ordering
        bfld.reorder(oldToNew);
        // Extend to covers all patches
        bfld.setSize(mesh.boundaryMesh().size());
        // Delete unused patches
        for
        (
            label newPatchi = nUsedPatches;
            newPatchi < bfld.size();
            newPatchi++
        )
        {
            bfld.set(newPatchi, nullptr);
        }
 
 
        // Map old values
        // ~~~~~~~~~~~~~~
 
        forAll(oldPatchMap, patchi)
        {
            const label newPatchi = oldPatchMap[patchi];
 
            if (newPatchi != -1)
            {
                labelList newToOld
                (
                    calcPatchMap
                    (
                        oldPatchStarts[patchi],
                        oldPatchSizes[patchi],
                        meshMap.oldFaceMap(),
                        mesh.boundaryMesh()[newPatchi],
                        -1              // unmapped value
                    )
                );
 
                directFvPatchFieldMapper patchMapper(newToOld);
 
 
                // Create new patchField with same type as existing one.
                // Note:
                // - boundaryField already in new order so access with newPatchi
                // - fld.boundaryField()[newPatchi] both used for type and old
                //   value
                // - hope that field mapping allows aliasing since old and new
                //   are same memory!
                bfld.set
                (
                    newPatchi,
                    fvPatchField<Type>::New
                    (
                        bfld[newPatchi],                // old field
                        mesh.boundary()[newPatchi],     // new fvPatch
                        fld(), // new internal field
                        patchMapper                     // mapper (new to old)
                    )
                );
            }
        }
    }
 
 
 
    // Patch fields from added mesh
    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~
 
    {
        const labelList& addedPatchMap = meshMap.addedPatchMap();
 
        // Add addedMesh patches
        forAll(addedPatchMap, patchi)
        {
            const label newPatchi = addedPatchMap[patchi];
 
            if (newPatchi != -1)
            {
                const polyPatch& newPatch = mesh.boundaryMesh()[newPatchi];
                const polyPatch& oldPatch =
                    fldToAdd.mesh().boundaryMesh()[patchi];
 
                if (!bfld(newPatchi))
                {
                    // First occurrence of newPatchi. Map from existing
                    // patchField
 
                    // From new patch faces to patch faces on added mesh.
                    const labelList newToAdded
                    (
                        calcPatchMap
                        (
                            oldPatch.start(),
                            oldPatch.size(),
                            meshMap.addedFaceMap(),
                            newPatch,
                            -1          // unmapped values
                        )
                    );
 
                    directFvPatchFieldMapper patchMapper(newToAdded);
 
                    bfld.set
                    (
                        newPatchi,
                        fvPatchField<Type>::New
                        (
                            fldToAdd.boundaryField()[patchi], // added field
                            mesh.boundary()[newPatchi],       // new fvPatch
                            fld(),   // new int. field
                            patchMapper                       // mapper
                        )
                    );
                }
                else
                {
                    // PatchField will have correct size already. Just slot in
                    // my elements.
 
                    labelList addedToNew(oldPatch.size(), -1);
                    forAll(addedToNew, i)
                    {
                        const label addedFacei = oldPatch.start() + i;
                        const label newFacei =
                            meshMap.addedFaceMap()[addedFacei];
                        const label patchFacei = newFacei-newPatch.start();
 
                        if (patchFacei >= 0 && patchFacei < newPatch.size())
                        {
                            addedToNew[i] = patchFacei;
                        }
                    }
 
                    bfld[newPatchi].map
                    (
                        fldToAdd.boundaryField()[patchi],
                        reverseFvPatchFieldMapper(addedToNew)
                    );
                }
            }
        }
    }
}
 
 
template<class Type>
void Foam::fvMeshAdder::MapVolFields
(
    const mapAddedPolyMesh& meshMap,
    const fvMesh& mesh,
    const fvMesh& meshToAdd
)
{
    HashTable<const VolField<Type>*> fields
    (
        mesh.objectRegistry::lookupClass<VolField<Type>>()
    );
 
    HashTable<const VolField<Type>*> fieldsToAdd
    (
        meshToAdd.objectRegistry::lookupClass<VolField<Type>>()
    );
 
    for
    (
        typename HashTable<const VolField<Type>*>::
            iterator fieldIter = fields.begin();
        fieldIter != fields.end();
        ++fieldIter
    )
    {
        VolField<Type>& fld =
            const_cast<VolField<Type>&>
            (
                *fieldIter()
            );
 
        if (fieldsToAdd.found(fld.name()))
        {
            const VolField<Type>& fldToAdd =
                *fieldsToAdd[fld.name()];
 
            if (debug)
            {
                Pout<< "MapVolFields : mapping " << fld.name()
                    << " and " << fldToAdd.name() << endl;
            }
 
            MapVolField<Type>(meshMap, fld, fldToAdd);
        }
        else
        {
            WarningInFunction
                << "Not mapping field " << fld.name()
                << " since not present on mesh to add"
                << endl;
        }
    }
}
 
 
template<class Type>
void Foam::fvMeshAdder::MapSurfaceField
(
    const mapAddedPolyMesh& meshMap,
 
    SurfaceField<Type>& fld,
    const SurfaceField<Type>& fldToAdd
)
{
    const fvMesh& mesh = fld.mesh();
    const labelList& oldPatchStarts = meshMap.oldPatchStarts();
 
    typename SurfaceField<Type>::
    Boundary& bfld = fld.boundaryFieldRef();
 
    // Internal field
    // ~~~~~~~~~~~~~~
 
    // Store old internal field
    {
        Field<Type> oldField(fld);
 
        // Modify internal field
        Field<Type>& intFld = fld.primitiveFieldRef();
 
        intFld.setSize(mesh.nInternalFaces());
 
        intFld.rmap(oldField, meshMap.oldFaceMap());
        intFld.rmap(fldToAdd, meshMap.addedFaceMap());
 
 
        // Faces that were boundary faces but are not anymore.
        // Use owner value (so lowest numbered cell, i.e. from 'old' not 'added'
        // mesh)
        forAll(bfld, patchi)
        {
            const fvsPatchField<Type>& pf = bfld[patchi];
 
            const label start = oldPatchStarts[patchi];
 
            forAll(pf, i)
            {
                const label newFacei = meshMap.oldFaceMap()[start + i];
 
                if (newFacei >= 0 && newFacei < mesh.nInternalFaces())
                {
                    intFld[newFacei] = pf[i];
                }
            }
        }
    }
 
 
    // Patch fields from old mesh
    // ~~~~~~~~~~~~~~~~~~~~~~~~~~
 
    {
        const labelList& oldPatchMap = meshMap.oldPatchMap();
        const labelList& oldPatchSizes = meshMap.oldPatchSizes();
 
        // Reorder old patches in order of new ones. Put removed patches at end.
 
        label unusedPatchi = 0;
 
        forAll(oldPatchMap, patchi)
        {
            const label newPatchi = oldPatchMap[patchi];
 
            if (newPatchi != -1)
            {
                unusedPatchi++;
            }
        }
 
        label nUsedPatches = unusedPatchi;
 
        // Reorder list for patchFields
        labelList oldToNew(oldPatchMap.size());
 
        forAll(oldPatchMap, patchi)
        {
            const label newPatchi = oldPatchMap[patchi];
 
            if (newPatchi != -1)
            {
                oldToNew[patchi] = newPatchi;
            }
            else
            {
                oldToNew[patchi] = unusedPatchi++;
            }
        }
 
 
        // Sort deleted ones last so is now in newPatch ordering
        bfld.reorder(oldToNew);
        // Extend to covers all patches
        bfld.setSize(mesh.boundaryMesh().size());
        // Delete unused patches
        for
        (
            label newPatchi = nUsedPatches;
            newPatchi < bfld.size();
            newPatchi++
        )
        {
            bfld.set(newPatchi, nullptr);
        }
 
 
        // Map old values
        // ~~~~~~~~~~~~~~
 
        forAll(oldPatchMap, patchi)
        {
            const label newPatchi = oldPatchMap[patchi];
 
            if (newPatchi != -1)
            {
                const labelList newToOld
                (
                    calcPatchMap
                    (
                        oldPatchStarts[patchi],
                        oldPatchSizes[patchi],
                        meshMap.oldFaceMap(),
                        mesh.boundaryMesh()[newPatchi],
                        -1      // unmapped value
                    )
                );
 
                directFvPatchFieldMapper patchMapper(newToOld);
 
                // Create new patchField with same type as existing one.
                // Note:
                // - boundaryField already in new order so access with newPatchi
                // - bfld[newPatchi] both used for type and old
                //   value
                // - hope that field mapping allows aliasing since old and new
                //   are same memory!
                bfld.set
                (
                    newPatchi,
                    fvsPatchField<Type>::New
                    (
                        bfld[newPatchi],                // old field
                        mesh.boundary()[newPatchi],     // new fvPatch
                        fld(), // new internal field
                        patchMapper                     // mapper (new to old)
                    )
                );
            }
        }
    }
 
 
 
    // Patch fields from added mesh
    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~
 
    {
        const labelList& addedPatchMap = meshMap.addedPatchMap();
 
        // Add addedMesh patches
        forAll(addedPatchMap, patchi)
        {
            const label newPatchi = addedPatchMap[patchi];
 
            if (newPatchi != -1)
            {
                const polyPatch& newPatch = mesh.boundaryMesh()[newPatchi];
                const polyPatch& oldPatch =
                    fldToAdd.mesh().boundaryMesh()[patchi];
 
                if (!bfld(newPatchi))
                {
                    // First occurrence of newPatchi. Map from existing
                    // patchField
 
                    // From new patch faces to patch faces on added mesh.
                    const labelList newToAdded
                    (
                        calcPatchMap
                        (
                            oldPatch.start(),
                            oldPatch.size(),
                            meshMap.addedFaceMap(),
                            newPatch,
                            -1                  // unmapped values
                        )
                    );
 
                    directFvPatchFieldMapper patchMapper(newToAdded);
 
                    bfld.set
                    (
                        newPatchi,
                        fvsPatchField<Type>::New
                        (
                            fldToAdd.boundaryField()[patchi],// added field
                            mesh.boundary()[newPatchi],      // new fvPatch
                            fld(),  // new int. field
                            patchMapper                      // mapper
                        )
                    );
                }
                else
                {
                    // PatchField will have correct size already. Just slot in
                    // my elements.
 
                    labelList addedToNew(oldPatch.size(), -1);
                    forAll(addedToNew, i)
                    {
                        const label addedFacei = oldPatch.start() + i;
                        const label newFacei =
                            meshMap.addedFaceMap()[addedFacei];
                        const label patchFacei = newFacei-newPatch.start();
 
                        if (patchFacei >= 0 && patchFacei < newPatch.size())
                        {
                            addedToNew[i] = patchFacei;
                        }
                    }
 
                    bfld[newPatchi].map
                    (
                        fldToAdd.boundaryField()[patchi],
                        reverseFvPatchFieldMapper(addedToNew)
                    );
                }
            }
        }
    }
}
 
 
template<class Type>
void Foam::fvMeshAdder::MapSurfaceFields
(
    const mapAddedPolyMesh& meshMap,
    const fvMesh& mesh,
    const fvMesh& meshToAdd
)
{
    HashTable<const SurfaceField<Type>*> fields
    (
        mesh.objectRegistry::lookupClass<SurfaceField<Type>>()
    );
 
    HashTable<const SurfaceField<Type>*> fieldsToAdd
    (
        meshToAdd.objectRegistry::lookupClass<SurfaceField<Type>>()
    );
 
    for
    (
        typename HashTable<const SurfaceField<Type>*>::
            iterator fieldIter = fields.begin();
        fieldIter != fields.end();
        ++fieldIter
    )
    {
        SurfaceField<Type>& fld = const_cast<SurfaceField<Type>&>(*fieldIter());
 
        if (fieldsToAdd.found(fld.name()))
        {
            const SurfaceField<Type>& fldToAdd = *fieldsToAdd[fld.name()];
 
            if (debug)
            {
                Pout<< "MapSurfaceFields : mapping " << fld.name()
                    << " and " << fldToAdd.name() << endl;
            }
 
            MapSurfaceField<Type>(meshMap, fld, fldToAdd);
        }
        else
        {
            WarningInFunction
                << "Not mapping field " << fld.name()
                << " since not present on mesh to add"
                << endl;
        }
    }
}
 
 
template<class Type>
void Foam::fvMeshAdder::MapPointField
(
    const pointMesh& mesh,
    const mapAddedPolyMesh& meshMap,
    const labelListList& oldMeshPoints,
 
    PointField<Type>& fld,
    const PointField<Type>& fldToAdd
)
{
    // This is a bit tricky:
    // - mesh pointed to by fld is invalid
    // - pointPatches pointed to be fld are invalid
 
    typename PointField<Type>::
    Boundary& bfld = fld.boundaryFieldRef();
 
    // Internal field
    // ~~~~~~~~~~~~~~
 
    // Store old internal field
    {
        Field<Type> oldField(fld);
 
        // Modify internal field
        Field<Type>& intFld = fld.primitiveFieldRef();
 
        intFld.setSize(mesh.size());
 
        intFld.rmap(oldField, meshMap.oldPointMap());
        intFld.rmap(fldToAdd, meshMap.addedPointMap());
    }
 
 
    // Patch fields from old mesh
    // ~~~~~~~~~~~~~~~~~~~~~~~~~~
 
    {
        const labelList& oldPatchMap = meshMap.oldPatchMap();
 
        // Reorder old patches in order of new ones. Put removed patches at end.
 
        label unusedPatchi = 0;
 
        forAll(oldPatchMap, patchi)
        {
            const label newPatchi = oldPatchMap[patchi];
 
            if (newPatchi != -1)
            {
                unusedPatchi++;
            }
        }
 
        label nUsedPatches = unusedPatchi;
 
        // Reorder list for patchFields
        labelList oldToNew(oldPatchMap.size());
 
        forAll(oldPatchMap, patchi)
        {
            const label newPatchi = oldPatchMap[patchi];
 
            if (newPatchi != -1)
            {
                oldToNew[patchi] = newPatchi;
            }
            else
            {
                oldToNew[patchi] = unusedPatchi++;
            }
        }
 
 
        // Sort deleted ones last so is now in newPatch ordering
        bfld.reorder(oldToNew);
 
        // Extend to covers all patches
        bfld.setSize(mesh.boundary().size());
 
        // Delete unused patches
        for
        (
            label newPatchi = nUsedPatches;
            newPatchi < bfld.size();
            newPatchi++
        )
        {
            bfld.set(newPatchi, nullptr);
        }
 
 
        // Map old values
        // ~~~~~~~~~~~~~~
 
        forAll(oldPatchMap, patchi)
        {
            const label newPatchi = oldPatchMap[patchi];
 
            if (newPatchi != -1)
            {
                const labelList& oldMp = oldMeshPoints[patchi];
                const pointPatch& newPp = mesh.boundary()[newPatchi];
                const labelList& newMeshPoints = newPp.meshPoints();
                const labelList& oldPointMap = meshMap.oldPointMap();
 
                Map<label> newMeshPointMap(2*newMeshPoints.size());
                forAll(newMeshPoints, ppi)
                {
                    newMeshPointMap.insert(newMeshPoints[ppi], ppi);
                }
 
                labelList newToOld(newPp.size(), -1);
                forAll(oldMp, oldPointi)
                {
                    const label newPointi = oldPointMap[oldMp[oldPointi]];
 
                    Map<label>::const_iterator fnd =
                        newMeshPointMap.find(newPointi);
 
                    if (fnd == newMeshPointMap.end())
                    {
                        // Possibly an internal point
                    }
                    else
                    {
                        // Part of new patch
                        newToOld[fnd()] = oldPointi;
                    }
                }
 
                directPointPatchFieldMapper patchMapper(newToOld);
 
                // Create new patchField with same type as existing one.
                // Note:
                // - boundaryField already in new order so access with newPatchi
                // - bfld[newPatchi] both used for type and old
                //   value
                // - hope that field mapping allows aliasing since old and new
                //   are same memory!
                bfld.set
                (
                    newPatchi,
                    pointPatchField<Type>::New
                    (
                        bfld[newPatchi],                // old field
                        mesh.boundary()[newPatchi],     // new pointPatch
                        fld(),                          // new internal field
                        patchMapper                     // mapper (new to old)
                    )
                );
            }
        }
    }
 
 
 
    // Patch fields from added mesh
    // ~~~~~~~~~~~~~~~~~~~~~~~~~~~~
 
    {
        const labelList& addedPatchMap = meshMap.addedPatchMap();
 
        // Add addedMesh patches
        forAll(addedPatchMap, patchi)
        {
            const label newPatchi = addedPatchMap[patchi];
 
            if (newPatchi != -1)
            {
                const pointPatch& oldPatch = fldToAdd.mesh().boundary()[patchi];
                const labelList& oldMp = oldPatch.meshPoints();
                const pointPatch& newPp = mesh.boundary()[newPatchi];
                const labelList& newMeshPoints = newPp.meshPoints();
                const labelList& addedPointMap = meshMap.addedPointMap();
 
                Map<label> newMpm(2*newMeshPoints.size());
                forAll(newMeshPoints, ppi)
                {
                    newMpm.insert(newMeshPoints[ppi], ppi);
                }
 
                if (!bfld(newPatchi))
                {
                    // First occurrence of newPatchi. Map from existing
                    // patchField
 
                    labelList newToAdded(newPp.size(), -1);
                    forAll(oldMp, oldPointi)
                    {
                        const label newPointi = addedPointMap[oldMp[oldPointi]];
 
                        Map<label>::const_iterator fnd = newMpm.find(newPointi);
                        if (fnd == newMpm.end())
                        {
                            // Possibly an internal point
                        }
                        else
                        {
                            // Part of new patch
                            newToAdded[fnd()] = oldPointi;
                        }
                    }
 
                    directPointPatchFieldMapper patchMapper(newToAdded);
 
                    bfld.set
                    (
                        newPatchi,
                        pointPatchField<Type>::New
                        (
                            fldToAdd.boundaryField()[patchi],// added field
                            mesh.boundary()[newPatchi],      // new pointPatch
                            fld(),                           // new int. field
                            patchMapper                      // mapper
                        )
                    );
                }
                else
                {
                    // PatchField will have correct size already. Just slot in
                    // my elements.
 
                    labelList oldToNew(oldPatch.size(), -1);
                    forAll(oldMp, oldPointi)
                    {
                        const label newPointi = addedPointMap[oldMp[oldPointi]];
 
                        Map<label>::const_iterator fnd = newMpm.find(newPointi);
                        if (fnd != newMpm.end())
                        {
                            // Part of new patch
                            oldToNew[oldPointi] = fnd();
                        }
                    }
 
                    bfld[newPatchi].map
                    (
                        fldToAdd.boundaryField()[patchi],
                        reversePointPatchFieldMapper(oldToNew)
                    );
                }
            }
        }
    }
}
 
 
template<class Type>
void Foam::fvMeshAdder::MapPointFields
(
    const mapAddedPolyMesh& meshMap,
    const pointMesh& mesh,
    const labelListList& oldMeshPoints,
    const objectRegistry& meshToAdd
)
{
    HashTable<const PointField<Type>*> fields
    (
        mesh.thisDb().lookupClass<PointField<Type>>()
    );
 
    HashTable<const PointField<Type>*> fieldsToAdd
    (
        meshToAdd.lookupClass<PointField<Type>>()
    );
 
    for
    (
        typename HashTable<const PointField<Type>*>::
            iterator fieldIter = fields.begin();
        fieldIter != fields.end();
        ++fieldIter
    )
    {
        PointField<Type>& fld = const_cast<PointField<Type>&>(*fieldIter());
 
        if (fieldsToAdd.found(fld.name()))
        {
            const PointField<Type>& fldToAdd = *fieldsToAdd[fld.name()];
 
            if (debug)
            {
                Pout<< "MapPointFields : mapping " << fld.name()
                    << " and " << fldToAdd.name() << endl;
            }
 
            MapPointField<Type>(mesh, meshMap, oldMeshPoints, fld, fldToAdd);
        }
        else
        {
            WarningInFunction
                << "Not mapping field " << fld.name()
                << " since not present on mesh to add"
                << endl;
        }
    }
}
 
 
template<class Type>
void Foam::fvMeshAdder::MapDimField
(
    const mapAddedPolyMesh& meshMap,
 
    DimensionedField<Type, volMesh>& fld,
    const DimensionedField<Type, volMesh>& fldToAdd
)
{
    const fvMesh& mesh = fld.mesh();
 
    // Store old field
    Field<Type> oldField(fld);
 
    fld.setSize(mesh.nCells());
 
    fld.rmap(oldField, meshMap.oldCellMap());
    fld.rmap(fldToAdd, meshMap.addedCellMap());
}
 
 
template<class Type>
void Foam::fvMeshAdder::MapDimFields
(
    const mapAddedPolyMesh& meshMap,
    const fvMesh& mesh,
    const fvMesh& meshToAdd
)
{
    // Note: use strict flag on lookupClass to avoid picking up volFields
    HashTable<const VolInternalField<Type>*> fields
    (
        mesh.objectRegistry::lookupClass<VolInternalField<Type>>(true)
    );
 
    HashTable<const VolInternalField<Type>*> fieldsToAdd
    (
        meshToAdd.objectRegistry::lookupClass<VolInternalField<Type>>(true)
    );
 
    for
    (
        typename HashTable<const VolInternalField<Type>*>::
            iterator fieldIter = fields.begin();
        fieldIter != fields.end();
        ++fieldIter
    )
    {
        VolInternalField<Type>& fld =
            const_cast<VolInternalField<Type>&>(*fieldIter());
 
        if (fieldsToAdd.found(fld.name()))
        {
            const VolInternalField<Type>& fldToAdd = *fieldsToAdd[fld.name()];
 
            if (debug)
            {
                Pout<< "MapDimFields : mapping " << fld.name()
                    << " and " << fldToAdd.name() << endl;
            }
 
            MapDimField<Type>(meshMap, fld, fldToAdd);
        }
        else
        {
            WarningIn("fvMeshAdder::MapDimFields(..)")
                << "Not mapping field " << fld.name()
                << " since not present on mesh to add"
                << endl;
        }
    }
}
 
 
// ************************************************************************* //