porousmediumflow/boxdfm/fvelementgeometry.hh

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#ifndef DUMUX_POROUSMEDIUMFLOW_BOXDFM_FV_ELEMENT_GEOMETRY_HH
#define DUMUX_POROUSMEDIUMFLOW_BOXDFM_FV_ELEMENT_GEOMETRY_HH
 
#include <dune/common/version.hh>
#include <dune/geometry/type.hh>
#include <dune/geometry/referenceelements.hh>
#include <dune/localfunctions/lagrange/pqkfactory.hh>
 
#include <dumux/discretization/scvandscvfiterators.hh>
#include "geometryhelper.hh"
 
namespace Dumux {

template<class GG, bool enableGridGeometryCache>
class BoxDfmFVElementGeometry;

template<class GG>
class BoxDfmFVElementGeometry<GG, true>
{
    using GridView = typename GG::GridView;
    static constexpr int dim = GridView::dimension;
    static constexpr int dimWorld = GridView::dimensionworld;
    using GridIndexType = typename GridView::IndexSet::IndexType;
    using Element = typename GridView::template Codim<0>::Entity;
    using CoordScalar = typename GridView::ctype;
    using FeLocalBasis = typename GG::FeCache::FiniteElementType::Traits::LocalBasisType;
    using ReferenceElements = typename Dune::ReferenceElements<CoordScalar, dim>;
public:
    using SubControlVolume = typename GG::SubControlVolume;
    using SubControlVolumeFace = typename GG::SubControlVolumeFace;
    using GridGeometry = GG;

    static constexpr std::size_t maxNumElementScvs = (1<<dim)*3;

    BoxDfmFVElementGeometry(const GridGeometry& gridGeometry)
    : gridGeometryPtr_(&gridGeometry) {}

    const SubControlVolume& scv(std::size_t scvIdx) const
    { return gridGeometry().scvs(eIdx_)[scvIdx]; }

    const SubControlVolumeFace& scvf(std::size_t scvfIdx) const
    { return gridGeometry().scvfs(eIdx_)[scvfIdx]; }

    friend inline Dune::IteratorRange<typename std::vector<SubControlVolume>::const_iterator>
    scvs(const BoxDfmFVElementGeometry& fvGeometry)
    {
        const auto& g = fvGeometry.gridGeometry();
        using Iter = typename std::vector<SubControlVolume>::const_iterator;
        return Dune::IteratorRange<Iter>(g.scvs(fvGeometry.eIdx_).begin(), g.scvs(fvGeometry.eIdx_).end());
    }

    friend inline Dune::IteratorRange<typename std::vector<SubControlVolumeFace>::const_iterator>
    scvfs(const BoxDfmFVElementGeometry& fvGeometry)
    {
        const auto& g = fvGeometry.gridGeometry();
        using Iter = typename std::vector<SubControlVolumeFace>::const_iterator;
        return Dune::IteratorRange<Iter>(g.scvfs(fvGeometry.eIdx_).begin(), g.scvfs(fvGeometry.eIdx_).end());
    }

    const FeLocalBasis& feLocalBasis() const
    { return gridGeometry().feCache().get(elemGeometryType_).localBasis(); }

    std::size_t numScv() const
    { return gridGeometry().scvs(eIdx_).size(); }

    std::size_t numScvf() const
    { return gridGeometry().scvfs(eIdx_).size(); }

    void bind(const Element& element)
    {
        this->bindElement(element);
    }

    void bindElement(const Element& element)
    {
        elemGeometryType_ = element.type();
        eIdx_ = gridGeometry().elementMapper().index(element);
    }

    const GridGeometry& gridGeometry() const
    { return *gridGeometryPtr_; }
 
private:
    Dune::GeometryType elemGeometryType_;
    const GridGeometry* gridGeometryPtr_;
    GridIndexType eIdx_;
};

template<class GG>
class BoxDfmFVElementGeometry<GG, false>
{
    using GridView = typename GG::GridView;
    static constexpr int dim = GridView::dimension;
    static constexpr int dimWorld = GridView::dimensionworld;
 
    using GridIndexType = typename GridView::IndexSet::IndexType;
    using Element = typename GridView::template Codim<0>::Entity;
 
    using CoordScalar = typename GridView::ctype;
    using FeLocalBasis = typename GG::FeCache::FiniteElementType::Traits::LocalBasisType;
    using ReferenceElements = typename Dune::ReferenceElements<CoordScalar, dim>;
    using FaceReferenceElements = typename Dune::ReferenceElements<CoordScalar, dim-1>;
 
    using GeometryHelper = BoxDfmGeometryHelper<GridView, dim,
                                                typename GG::SubControlVolume,
                                                typename GG::SubControlVolumeFace>;
public:
    using SubControlVolume = typename GG::SubControlVolume;
    using SubControlVolumeFace = typename GG::SubControlVolumeFace;
    using GridGeometry = GG;
    static constexpr std::size_t maxNumElementScvs = (1<<dim)*3;

    BoxDfmFVElementGeometry(const GridGeometry& gridGeometry)
    : gridGeometryPtr_(&gridGeometry) {}

    const SubControlVolume& scv(std::size_t scvIdx) const
    { return scvs_[scvIdx]; }

    const SubControlVolumeFace& scvf(std::size_t scvfIdx) const
    { return scvfs_[scvfIdx]; }

    friend inline Dune::IteratorRange<typename std::vector<SubControlVolume>::const_iterator>
    scvs(const BoxDfmFVElementGeometry& fvGeometry)
    {
        using Iter = typename std::vector<SubControlVolume>::const_iterator;
        return Dune::IteratorRange<Iter>(fvGeometry.scvs_.begin(), fvGeometry.scvs_.end());
    }

    friend inline Dune::IteratorRange<typename std::vector<SubControlVolumeFace>::const_iterator>
    scvfs(const BoxDfmFVElementGeometry& fvGeometry)
    {
        using Iter = typename std::vector<SubControlVolumeFace>::const_iterator;
        return Dune::IteratorRange<Iter>(fvGeometry.scvfs_.begin(), fvGeometry.scvfs_.end());
    }

    const FeLocalBasis& feLocalBasis() const
    { return gridGeometry().feCache().get(elemGeometryType_).localBasis(); }

    std::size_t numScv() const
    { return scvs_.size(); }

    std::size_t numScvf() const
    { return scvfs_.size(); }

    void bind(const Element& element)
    {
        this->bindElement(element);
    }

    void bindElement(const Element& element)
    {
        eIdx_ = gridGeometry().elementMapper().index(element);
        makeElementGeometries(element);
    }

    const GridGeometry& gridGeometry() const
    { return *gridGeometryPtr_; }
 
private:
 
    void makeElementGeometries(const Element& element)
    {
        auto eIdx = gridGeometry().elementMapper().index(element);
 
        // get the element geometry
        auto elementGeometry = element.geometry();
        elemGeometryType_ = elementGeometry.type();
        const auto referenceElement = ReferenceElements::general(elemGeometryType_);
 
        // get the sub control volume geometries of this element
        GeometryHelper geometryHelper(elementGeometry);
 
        // construct the sub control volumes
        scvs_.resize(elementGeometry.corners());
        using LocalIndexType = typename SubControlVolumeFace::Traits::LocalIndexType;
        for (LocalIndexType scvLocalIdx = 0; scvLocalIdx < elementGeometry.corners(); ++scvLocalIdx)
        {
            // get asssociated dof index
            const auto dofIdxGlobal = gridGeometry().vertexMapper().subIndex(element, scvLocalIdx, dim);
 
            // add scv to the local container
            scvs_[scvLocalIdx] = SubControlVolume(geometryHelper,
                                                  scvLocalIdx,
                                                  eIdx,
                                                  dofIdxGlobal);
        }
 
        // construct the sub control volume faces
        const auto numInnerScvf = (dim==1) ? 1 : element.subEntities(dim-1);
        scvfs_.resize(numInnerScvf);
 
        unsigned int scvfLocalIdx = 0;
        for (; scvfLocalIdx < numInnerScvf; ++scvfLocalIdx)
        {
            // find the local scv indices this scvf is connected to
            std::vector<LocalIndexType> localScvIndices({static_cast<LocalIndexType>(referenceElement.subEntity(scvfLocalIdx, dim-1, 0, dim)),
                                                         static_cast<LocalIndexType>(referenceElement.subEntity(scvfLocalIdx, dim-1, 1, dim))});
 
            scvfs_[scvfLocalIdx] = SubControlVolumeFace(geometryHelper,
                                                        element,
                                                        elementGeometry,
                                                        scvfLocalIdx,
                                                        std::move(localScvIndices));
        }
 
        // construct the ...
        // ... sub-control volume faces on the domain boundary
        // ... sub-control volumes on fracture facets
        // ... sub-control volume faces on fracture facets
        // NOTE We do not construct fracture scvfs on boundaries here!
        //      That means specifying Neumann fluxes on only the fractures is not possible
        //      However, it is difficult to interpret this here as a fracture ending on the boundary
        //      could also be connected to a facet which is both boundary and fracture at the same time!
        //      In that case, the fracture boundary scvf wouldn't make sense. In order to do it properly
        //      we would have to find only those fractures that are at the boundary and aren't connected
        //      to a fracture which is a boundary.
        LocalIndexType scvLocalIdx = element.subEntities(dim);
        for (const auto& intersection : intersections(gridGeometry().gridView(), element))
        {
            // first, obtain all vertex indices on this intersection
            const auto& isGeometry = intersection.geometry();
            const auto numCorners = isGeometry.corners();
            const auto idxInInside = intersection.indexInInside();
 
            std::vector<GridIndexType> isVertexIndices(numCorners);
            for (unsigned int vIdxLocal = 0; vIdxLocal < numCorners; ++vIdxLocal)
                isVertexIndices[vIdxLocal] = gridGeometry().vertexMapper().subIndex(element,
                                                                                      referenceElement.subEntity(idxInInside, 1, vIdxLocal, dim),
                                                                                      dim);
 
            if (intersection.boundary())
            {
                for (unsigned int isScvfLocalIdx = 0; isScvfLocalIdx < numCorners; ++isScvfLocalIdx)
                {
                    // find the scv this scvf is connected to
                    const LocalIndexType insideScvIdx = static_cast<LocalIndexType>(referenceElement.subEntity(idxInInside, 1, isScvfLocalIdx, dim));
                    std::vector<LocalIndexType> localScvIndices = {insideScvIdx, insideScvIdx};
 
                    scvfs_.emplace_back(geometryHelper,
                                        intersection,
                                        isGeometry,
                                        isScvfLocalIdx,
                                        scvfLocalIdx,
                                        std::move(localScvIndices));
 
                    // increment local counter
                    scvfLocalIdx++;
                }
            }
 
            // maybe add fracture scvs & scvfs
            if (this->gridGeometry().isOnFracture(element, intersection))
            {
                // add fracture scv for each vertex of intersection
                const auto curNumScvs = scvs_.size();
                scvs_.reserve(curNumScvs+numCorners);
                for (unsigned int vIdxLocal = 0; vIdxLocal < numCorners; ++vIdxLocal)
                    scvs_.emplace_back(geometryHelper,
                                       intersection,
                                       isGeometry,
                                       vIdxLocal,
                                       static_cast<LocalIndexType>(referenceElement.subEntity(idxInInside, 1, vIdxLocal, dim)),
                                       scvLocalIdx++,
                                       idxInInside,
                                       eIdx,
                                       isVertexIndices[vIdxLocal]);
 
                // add fracture scvf for each edge of the intersection in 3d
                if (dim == 3)
                {
                    const auto& faceReferenceElement = FaceReferenceElements::general(isGeometry.type());
                    for (unsigned int edgeIdx = 0; edgeIdx < faceReferenceElement.size(1); ++edgeIdx)
                    {
                        // inside/outside scv indices in face local node numbering
                        std::vector<LocalIndexType> localScvIndices({static_cast<LocalIndexType>(faceReferenceElement.subEntity(edgeIdx, 1, 0, dim-1)),
                                                                     static_cast<LocalIndexType>(faceReferenceElement.subEntity(edgeIdx, 1, 1, dim-1))});
 
                        // add offset to get the right scv indices
                        std::for_each( localScvIndices.begin(),
                                       localScvIndices.end(),
                                       [curNumScvs] (auto& elemLocalIdx) { elemLocalIdx += curNumScvs; } );
 
                        // add scvf
                        scvfs_.emplace_back(geometryHelper,
                                            intersection,
                                            isGeometry,
                                            edgeIdx,
                                            scvfLocalIdx++,
                                            std::move(localScvIndices),
                                            intersection.boundary());
                    }
                }
 
                // dim == 2, intersection is an edge, make 1 scvf
                else
                {
                    // inside/outside scv indices in face local node numbering
                    std::vector<LocalIndexType> localScvIndices({0, 1});
 
                    // add offset such that the fracture scvs above are addressed
                    std::for_each( localScvIndices.begin(),
                                   localScvIndices.end(),
                                   [curNumScvs] (auto& elemLocalIdx) { elemLocalIdx += curNumScvs; } );
 
                    // add scvf
                    scvfs_.emplace_back(geometryHelper,
                                        intersection,
                                        isGeometry,
                                        /*idxOnIntersection*/0,
                                        scvfLocalIdx++,
                                        std::move(localScvIndices),
                                        intersection.boundary());
                }
            }
        }
    }

    Dune::GeometryType elemGeometryType_;
    GridIndexType eIdx_;

    const GridGeometry* gridGeometryPtr_;

    std::vector<SubControlVolume> scvs_;
    std::vector<SubControlVolumeFace> scvfs_;
};
 
} // end namespace Dumux
 
#endif