porousmediumflow/boxdfm/subcontrolvolumeface.hh

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#ifndef DUMUX_POROUSMEDIUMFLOW_BOXDFM_SUBCONTROLVOLUMEFACE_HH
#define DUMUX_POROUSMEDIUMFLOW_BOXDFM_SUBCONTROLVOLUMEFACE_HH
 
#include <utility>
 
#include <dune/geometry/type.hh>
#include <dune/geometry/multilineargeometry.hh>
#include <dune/common/reservedvector.hh>
 
#include <dumux/common/boundaryflag.hh>
#include <dumux/discretization/subcontrolvolumefacebase.hh>
#include <dumux/discretization/box/boxgeometryhelper.hh>
 
namespace Dumux {
 
template<class GridView>
struct BoxDfmDefaultScvfGeometryTraits
{
    using Grid = typename GridView::Grid;
    static constexpr int dim = Grid::dimension;
    static constexpr int dimWorld = Grid::dimensionworld;
 
    // we use geometry traits that use static corner vectors to and a fixed geometry type
    template <class ct>
    struct ScvfMLGTraits : public Dune::MultiLinearGeometryTraits<ct>
    {
        // we use static vectors to store the corners as we know
        // the number of corners in advance (2^(dim-1) corners (1<<(dim-1))
        // 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-1)) >;
        };
 
        // 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::Impl::CubeTopology< mydim >::type::id;
        };
    };
 
    using GridIndexType = typename Grid::LeafGridView::IndexSet::IndexType;
    using LocalIndexType = unsigned int;
    using Scalar = typename Grid::ctype;
    using Geometry = Dune::MultiLinearGeometry<Scalar, dim-1, dimWorld, ScvfMLGTraits<Scalar>>;
    using CornerStorage = typename ScvfMLGTraits<Scalar>::template CornerStorage<dim-1, dimWorld>::Type;
    using GlobalPosition = typename CornerStorage::value_type;
    using BoundaryFlag = Dumux::BoundaryFlag<Grid>;
};
 
template<class GV,
         class T = BoxDfmDefaultScvfGeometryTraits<GV> >
class BoxDfmSubControlVolumeFace
: public SubControlVolumeFaceBase<BoxDfmSubControlVolumeFace<GV, T>, T>
{
    using ThisType = BoxDfmSubControlVolumeFace<GV, T>;
    using ParentType = SubControlVolumeFaceBase<ThisType, T>;
    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;
    using Geometry = typename T::Geometry;
    using BoundaryFlag = typename T::BoundaryFlag;
 
    static_assert(T::dim == 2 || T::dim == 3, "Box-Dfm sub-control volume face only implemented in 2d or 3d");
 
public:
    using Traits = T;
 
    BoxDfmSubControlVolumeFace() = default;
 
    template<class GeometryHelper, class Element>
    BoxDfmSubControlVolumeFace(const GeometryHelper& geometryHelper,
                               const Element& element,
                               const typename Element::Geometry& elemGeometry,
                               GridIndexType scvfIndex,
                               std::vector<LocalIndexType>&& scvIndices)
    : corners_(geometryHelper.getScvfCorners(scvfIndex))
    , center_(0.0)
    , unitOuterNormal_(geometryHelper.normal(corners_, scvIndices))
    , area_(geometryHelper.scvfArea(corners_))
    , scvfIndex_(scvfIndex)
    , scvIndices_(std::move(scvIndices))
    , boundary_(false)
    , isFractureScvf_(false)
    , boundaryFlag_{}
    , facetIdx_(0)
    {
        for (const auto& corner : corners_)
            center_ += corner;
        center_ /= corners_.size();
    }
 
    template<class GeometryHelper, class Intersection>
    BoxDfmSubControlVolumeFace(const GeometryHelper& geometryHelper,
                               const Intersection& intersection,
                               const typename Intersection::Geometry& isGeometry,
                               LocalIndexType indexInIntersection,
                               GridIndexType scvfIndex,
                               std::vector<LocalIndexType>&& scvIndices)
    : corners_(geometryHelper.getBoundaryScvfCorners(intersection, isGeometry, indexInIntersection))
    , center_(0.0)
    , unitOuterNormal_(intersection.centerUnitOuterNormal())
    , area_(geometryHelper.scvfArea(corners_))
    , scvfIndex_(scvfIndex)
    , scvIndices_(std::move(scvIndices))
    , boundary_(true)
    , isFractureScvf_(false)
    , boundaryFlag_{intersection}
    , facetIdx_(0)
    {
        for (const auto& corner : corners_)
            center_ += corner;
        center_ /= corners_.size();
    }
 
    template<class GeometryHelper, class Intersection>
    BoxDfmSubControlVolumeFace(const GeometryHelper& geometryHelper,
                               const Intersection& intersection,
                               const typename Intersection::Geometry& isGeometry,
                               LocalIndexType indexInIntersection,
                               GridIndexType scvfIndex,
                               std::vector<LocalIndexType>&& scvIndices,
                               bool boundary)
    : corners_(geometryHelper.getFractureScvfCorners(intersection, isGeometry, indexInIntersection))
    , center_(0.0)
    , scvfIndex_(scvfIndex)
    , scvIndices_(std::move(scvIndices))
    , boundary_(boundary)
    , isFractureScvf_(true)
    , boundaryFlag_{intersection}
    , facetIdx_(intersection.indexInInside())
    {
        // The area here is given in meters. In order to
        // get the right dimensions, the user has to provide
        // the appropriate aperture in the problem (via an extrusion factor)
        if (T::dim == 3)
            area_ = (corners_[1]-corners_[0]).two_norm();
        else if (T::dim == 2)
            area_ = 1.0;
 
        // obtain the unit normal vector
        unitOuterNormal_ = geometryHelper.fractureNormal(corners_, intersection, indexInIntersection);
 
        // compute the scvf center
        for (const auto& corner : corners_)
            center_ += corner;
        center_ /= corners_.size();
    }
 
    const GlobalPosition& center() const
    { return center_; }
 
    const GlobalPosition& ipGlobal() const
    { return center_; }
 
    Scalar area() const
    { return area_; }
 
    bool boundary() const
    { return boundary_; }
 
    const GlobalPosition& unitOuterNormal() const
    { return unitOuterNormal_; }
 
    GridIndexType index() const
    { return scvfIndex_; }
 
    bool isOnFracture() const
    { return isFractureScvf_; }
 
    LocalIndexType facetIndexInElement() const
    { assert(isFractureScvf_); return facetIdx_; }
 
    typename BoundaryFlag::value_type boundaryFlag() const
    { return boundaryFlag_.get(); }
 
    LocalIndexType insideScvIdx() const
    { return scvIndices_[0]; }
 
    // This results in undefined behaviour if boundary is true
    LocalIndexType outsideScvIdx() const
    {
        assert(!boundary());
        return scvIndices_[1];
    }
 
    const GlobalPosition& corner(unsigned int localIdx) const
    {
        assert(localIdx < corners_.size() && "provided index exceeds the number of corners");
        return corners_[localIdx];
    }
 
    Geometry geometry() const
    {
        if (isFractureScvf_)
            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(Geometry::mydimension), corners_);
    }
 
private:
    CornerStorage corners_;
    GlobalPosition center_;
    GlobalPosition unitOuterNormal_;
    Scalar area_;
    GridIndexType scvfIndex_;
    std::vector<LocalIndexType> scvIndices_;
    bool boundary_;
    bool isFractureScvf_;
    BoundaryFlag boundaryFlag_;
    LocalIndexType facetIdx_;
};
 
} // end namespace Dumux
 
#endif