porousmediumflow/boxdfm/subcontrolvolume.hh

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#ifndef DUMUX_POROUSMEDIUMFLOW_BOXDFM_SUBCONTROLVOLUME_HH
#define DUMUX_POROUSMEDIUMFLOW_BOXDFM_SUBCONTROLVOLUME_HH
 
#include <dune/common/reservedvector.hh>
#include <dune/geometry/type.hh>
#include <dune/geometry/multilineargeometry.hh>
 
#include <dumux/discretization/subcontrolvolumebase.hh>
#include <dumux/discretization/box/boxgeometryhelper.hh>
#include <dumux/common/math.hh>
 
namespace Dumux {
 
template<class GridView>
struct BoxDfmDefaultScvGeometryTraits
{
    using Grid = typename GridView::Grid;
 
    static const int dim = Grid::dimension;
    static const int dimWorld = Grid::dimensionworld;
 
    template <class ct>
    struct ScvMLGTraits : public Dune::MultiLinearGeometryTraits<ct>
    {
        // we use static vectors to store the corners as we know
        // the number of corners in advance (2^(dim) corners (1<<(dim))
        // However, on fracture scvs the number might be smaller (use ReservedVector)
        template< int mydim, int cdim >
        struct CornerStorage
        {
            using Type = Dune::ReservedVector< Dune::FieldVector< ct, cdim >, (1<<(dim)) >;
        };
 
        // we know all scvfs will have the same geometry type
        template< int mydim >
        struct hasSingleGeometryType
        {
            static const bool v = true;
            static const unsigned int topologyId = Dune::GeometryTypes::cube(mydim).id();
        };
    };
 
    using GridIndexType = typename Grid::LeafGridView::IndexSet::IndexType;
    using LocalIndexType = unsigned int;
    using Scalar = typename Grid::ctype;
    using Geometry = Dune::MultiLinearGeometry<Scalar, dim, dimWorld, ScvMLGTraits<Scalar>>;
    using CornerStorage = typename ScvMLGTraits<Scalar>::template CornerStorage<dim, dimWorld>::Type;
    using GlobalPosition = typename CornerStorage::value_type;
};
 
template<class GV,
         class T = BoxDfmDefaultScvGeometryTraits<GV> >
class BoxDfmSubControlVolume
: public SubControlVolumeBase<BoxDfmSubControlVolume<GV, T>, T>
{
    using ThisType = BoxDfmSubControlVolume<GV, T>;
    using ParentType = SubControlVolumeBase<ThisType, T>;
    using Geometry = typename T::Geometry;
    using GridIndexType = typename T::GridIndexType;
    using LocalIndexType = typename T::LocalIndexType;
    using Scalar = typename T::Scalar;
    using GlobalPosition = typename T::GlobalPosition;
    using CornerStorage = typename T::CornerStorage;
    enum { dim = Geometry::mydimension };
 
    static_assert(dim == 2 || dim == 3, "Box-Dfm sub-control volume only implemented in 2d or 3d");
 
public:
    using Traits = T;
 
    BoxDfmSubControlVolume() = default;
 
    // the constructor for standard scvs
    template<class GeometryHelper>
    BoxDfmSubControlVolume(const GeometryHelper& geometryHelper,
                           LocalIndexType scvIdx,
                           GridIndexType elementIndex,
                           GridIndexType dofIndex)
    : isFractureScv_(false)
    , corners_(geometryHelper.getScvCorners(scvIdx))
    , center_(0.0)
    , volume_(geometryHelper.scvVolume(corners_))
    , elementIndex_(elementIndex)
    , vIdxLocal_(scvIdx)
    , elemLocalScvIdx_(scvIdx)
    , dofIndex_(dofIndex)
    , facetIdx_(0)
    {
        // compute center point
        for (const auto& corner : corners_)
            center_ += corner;
        center_ /= corners_.size();
    }
 
    template<class GeometryHelper, class Intersection>
    BoxDfmSubControlVolume(const GeometryHelper& geometryHelper,
                           const Intersection& intersection,
                           const typename Intersection::Geometry& isGeometry,
                           LocalIndexType indexInIntersection,
                           LocalIndexType vIdxLocal,
                           LocalIndexType elemLocalScvIdx,
                           LocalIndexType elemLocalFacetIdx,
                           GridIndexType elementIndex,
                           GridIndexType dofIndex)
    : isFractureScv_(true)
    , corners_()
    , center_(0.0)
    , volume_(0.0)
    , elementIndex_(elementIndex)
    , vIdxLocal_(vIdxLocal)
    , elemLocalScvIdx_(elemLocalScvIdx)
    , dofIndex_(dofIndex)
    , facetIdx_(elemLocalFacetIdx)
    {
        // copy corners
        auto corners = geometryHelper.getBoundaryScvfCorners(intersection, isGeometry, indexInIntersection);
        const auto numCorners = corners.size();
        corners_.resize(numCorners);
        for (unsigned int i = 0; i < numCorners; ++i)
            corners_[i] = corners[i];
 
        // compute volume and scv center
        volume_ = geometryHelper.scvfArea(corners);
        for (const auto& corner : corners_)
            center_ += corner;
        center_ /= corners_.size();
    }
 
    const GlobalPosition& center() const
    { return center_; }
 
    Scalar volume() const
    { return volume_; }
 
    LocalIndexType localDofIndex() const
    { return vIdxLocal_; }
 
    LocalIndexType indexInElement() const
    { return elemLocalScvIdx_; }
 
    LocalIndexType facetIndexInElement() const
    { assert(isFractureScv_); return facetIdx_; }
 
    GridIndexType dofIndex() const
    { return dofIndex_; }
 
    // The position of the dof this scv is embedded in (list is defined such that first entry is vertex itself)
    const GlobalPosition& dofPosition() const
    { return corners_[0]; }
 
    GridIndexType elementIndex() const
    { return elementIndex_; }
 
    bool isOnFracture() const
    { return isFractureScv_; }
 
    // e.g. for integration
    Geometry geometry() const
    {
        if (isFractureScv_)
            DUNE_THROW(Dune::InvalidStateException, "The geometry object cannot be defined for fracture scvs "
                                                    "because the number of known corners is insufficient. "
                                                    "You can do this manually by extract the corners from this scv "
                                                    "and extrude them by the corresponding aperture. ");
 
        return Geometry(Dune::GeometryTypes::cube(dim), corners_);
    }
 
    const GlobalPosition& corner(LocalIndexType localIdx) const
    {
        assert(localIdx < corners_.size() && "provided index exceeds the number of corners");
        return corners_[localIdx];
    }
 
private:
    bool isFractureScv_;
    CornerStorage corners_;
    GlobalPosition center_;
    Scalar volume_;
    GridIndexType elementIndex_;
    LocalIndexType vIdxLocal_;
    LocalIndexType elemLocalScvIdx_;
    GridIndexType dofIndex_;
 
    // for fracture scvs only!
    LocalIndexType facetIdx_;
};
 
} // end namespace
 
#endif