discretization/box/subcontrolvolumeface.hh

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#ifndef DUMUX_DISCRETIZATION_BOX_SUBCONTROLVOLUMEFACE_HH
#define DUMUX_DISCRETIZATION_BOX_SUBCONTROLVOLUMEFACE_HH
 
#include <utility>
 
#include <dune/geometry/type.hh>
#include <dune/geometry/multilineargeometry.hh>
 
#include <dumux/common/boundaryflag.hh>
#include <dumux/common/indextraits.hh>
#include <dumux/discretization/subcontrolvolumefacebase.hh>
#include <dumux/discretization/box/boxgeometryhelper.hh>
 
namespace Dumux {

template<class GridView>
struct BoxDefaultScvfGeometryTraits
{
    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))
        template< int mydim, int cdim >
        struct CornerStorage
        {
            using Type = std::array< 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 IndexTraits<GridView>::GridIndex;
    using LocalIndexType = typename IndexTraits<GridView>::LocalIndex;
    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 = BoxDefaultScvfGeometryTraits<GV> >
class BoxSubControlVolumeFace
: public SubControlVolumeFaceBase<BoxSubControlVolumeFace<GV, T>, T>
{
    using ThisType = BoxSubControlVolumeFace<GV, T>;
    using ParentType = SubControlVolumeFaceBase<ThisType, T>;
    using GridIndexType = typename T::GridIndexType;
    using LocalIndexType = typename T::LocalIndexType;
    using Scalar = typename T::Scalar;
    using CornerStorage = typename T::CornerStorage;
    using Geometry = typename T::Geometry;
    using BoundaryFlag = typename T::BoundaryFlag;
 
public:
    using GlobalPosition = typename T::GlobalPosition;
    using Traits = T;

    BoxSubControlVolumeFace() = default;

    template<class GeometryHelper, class Element>
    BoxSubControlVolumeFace(const GeometryHelper& geometryHelper,
                            const Element& element,
                            const typename Element::Geometry& elemGeometry,
                            GridIndexType scvfIndex,
                            std::vector<LocalIndexType>&& scvIndices,
                            bool boundary = false)
    : corners_(geometryHelper.getScvfCorners(scvfIndex)),
      center_(0.0),
      unitOuterNormal_(geometryHelper.normal(corners_, scvIndices)),
      area_(geometryHelper.scvfArea(corners_)),
      scvfIndex_(scvfIndex),
      scvIndices_(std::move(scvIndices)),
      boundary_(boundary)
    , boundaryFlag_{}
    {
        for (const auto& corner : corners_)
            center_ += corner;
        center_ /= corners_.size();
    }

    template<class GeometryHelper, class Intersection>
    BoxSubControlVolumeFace(const GeometryHelper& geometryHelper,
                            const Intersection& intersection,
                            const typename Intersection::Geometry& isGeometry,
                            LocalIndexType indexInIntersection,
                            GridIndexType scvfIndex,
                            std::vector<LocalIndexType>&& scvIndices,
                            bool boundary = false)
    : corners_(geometryHelper.getBoundaryScvfCorners(intersection, isGeometry, indexInIntersection)),
      center_(0.0),
      unitOuterNormal_(intersection.centerUnitOuterNormal()),
      area_(geometryHelper.scvfArea(corners_)),
      scvfIndex_(scvfIndex),
      scvIndices_(std:: move(scvIndices)),
      boundary_(boundary)
    , boundaryFlag_{intersection}
    {
        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_;
    }

    LocalIndexType insideScvIdx() const
    {
        return scvIndices_[0];
    }

    // This results in undefined behaviour if boundary is true
    LocalIndexType outsideScvIdx() const
    {
        assert(!boundary());
        return scvIndices_[1];
    }

    GridIndexType index() const
    {
        return scvfIndex_;
    }
 
    const GlobalPosition& corner(unsigned int localIdx) const
    {
        assert(localIdx < corners_.size() && "provided index exceeds the number of corners");
        return corners_[localIdx];
    }

    Geometry geometry() const
    {
        return Geometry(Dune::GeometryTypes::cube(Geometry::mydimension), corners_);
    }

    typename BoundaryFlag::value_type boundaryFlag() const
    {
        return boundaryFlag_.get();
    }
 
private:
    CornerStorage corners_;
    GlobalPosition center_;
    GlobalPosition unitOuterNormal_;
    Scalar area_;
    GridIndexType scvfIndex_;
    std::vector<LocalIndexType> scvIndices_;
    bool boundary_;
    BoundaryFlag boundaryFlag_;
};
 
} // end namespace Dumux
 
#endif