porousmediumflow/boxdfm/geometryhelper.hh

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// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*-
// vi: set et ts=4 sw=4 sts=4:
//
// SPDX-FileCopyrightText: Copyright © DuMux Project contributors, see AUTHORS.md in root folder
// SPDX-License-Identifier: GPL-3.0-or-later
//
#ifndef DUMUX_POROUSMEDIUMFLOW_BOXDFM_GEOMETRY_HELPER_HH
#define DUMUX_POROUSMEDIUMFLOW_BOXDFM_GEOMETRY_HELPER_HH
 
#include <dune/common/fvector.hh>
#include <dune/common/reservedvector.hh>
#include <dune/geometry/multilineargeometry.hh>
 
#include <dumux/discretization/box/boxgeometryhelper.hh>
 
namespace Dumux {
 
template <class ct>
struct BoxDfmMLGeometryTraits : public Dune::MultiLinearGeometryTraits<ct>
{
    // we use static vectors to store the corners as we know
    // the number of corners in advance (2^(mydim) corners (1<<(mydim))
    // 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<<(mydim)) >;
    };
 
    // 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();
    };
};

template<class GridView, int dim, class ScvType, class ScvfType>
class BoxDfmGeometryHelper;

template <class GridView, class ScvType, class ScvfType>
class BoxDfmGeometryHelper<GridView, 2, ScvType, ScvfType> : public BoxGeometryHelper<GridView, 2, ScvType, ScvfType>
{
    using ParentType = BoxGeometryHelper<GridView, 2, ScvType, ScvfType>;
 
    using Intersection = typename GridView::Intersection;
    using ScvfCornerStorage = typename ScvfType::Traits::CornerStorage;
 
    static constexpr auto dim = GridView::dimension;
    using Scalar = typename GridView::ctype;
 
public:

    using ParentType::ParentType;

    ScvfCornerStorage getFractureScvfCorners(unsigned int localFacetIndex,
                                             unsigned int) const
    {
        const auto& geo = this->elementGeometry();
        const auto ref = referenceElement(geo);
        return ScvfCornerStorage({ geo.global(ref.position(localFacetIndex, 1)) });
    }

    typename ScvfType::Traits::GlobalPosition
    fractureNormal(const ScvfCornerStorage& p,
                   const Intersection& is,
                   unsigned int edgeIndexInIntersection) const
    {
        const auto& geo = this->elementGeometry();
        const auto ref = referenceElement(geo);
        const auto v0 = ref.subEntity(is.indexInInside(), 1, 0, dim);
        const auto v1 = ref.subEntity(is.indexInInside(), 1, 1, dim);
        auto normal = geo.corner(v1) - geo.corner(v0);
        normal /= normal.two_norm();
        return normal;
    }
};

template <class GridView, class ScvType, class ScvfType>
class BoxDfmGeometryHelper<GridView, 3, ScvType, ScvfType> : public BoxGeometryHelper<GridView, 3, ScvType, ScvfType>
{
    using ParentType = BoxGeometryHelper<GridView, 3, ScvType, ScvfType>;
 
    using Intersection = typename GridView::Intersection;
    using ScvfCornerStorage = typename ScvfType::Traits::CornerStorage;
 
    static constexpr auto dim = GridView::dimension;
    static constexpr auto dimWorld = GridView::dimensionworld;
    using Scalar = typename GridView::ctype;
 
public:

    using ParentType::ParentType;

    ScvfCornerStorage getFractureScvfCorners(unsigned int localFacetIndex,
                                             unsigned int indexInFacet) const
    {
        constexpr int facetCodim = 1;
 
        // we have to use the corresponding facet geometry as the intersection geometry
        // might be rotated or flipped. This makes sure that the corners (dof location)
        // and corresponding scvfs are sorted in the same way
        const auto& geo = this->elementGeometry();
        const auto& ref = referenceElement(geo);
        const auto type = ref.type(localFacetIndex, facetCodim);
        if (type == Dune::GeometryTypes::triangle)
        {
            using Corners = Detail::Box::ScvfCorners<Dune::GeometryTypes::triangle>;
            return Detail::Box::subEntityKeyToCornerStorage<ScvfCornerStorage>(ref, [&](const auto& local){ return geo.global(local); },
                                                                               localFacetIndex, facetCodim, Corners::keys[indexInFacet]);
 
        }
        else if (type == Dune::GeometryTypes::quadrilateral)
        {
            using Corners = Detail::Box::ScvfCorners<Dune::GeometryTypes::quadrilateral>;
            return Detail::Box::subEntityKeyToCornerStorage<ScvfCornerStorage>(ref, [&](const auto& local){ return geo.global(local); },
                                                                               localFacetIndex, facetCodim, Corners::keys[indexInFacet]);
        }
        else
            DUNE_THROW(Dune::NotImplemented, "Box fracture scvf geometries for dim=" << dim
                                                            << " dimWorld=" << dimWorld
                                                            << " type=" << type);
    }

    typename ScvfType::Traits::GlobalPosition
    fractureNormal(const ScvfCornerStorage& scvfCorners,
                   const Intersection& is,
                   unsigned int edgeIndexInIntersection) const
    {
        const auto& geo = this->elementGeometry();
        const auto refElement = referenceElement(geo);
 
        // first get the intersection corners (maximum "4" is for quadrilateral face)
        typename ScvfType::Traits::GlobalPosition c[4];
 
        const auto corners = refElement.size(is.indexInInside(), 1, dim);
        for (int i = 0; i < corners; ++i)
        {
            const auto vIdxLocal = refElement.subEntity(is.indexInInside(), 1, i, dim);
            c[i] = geo.corner(vIdxLocal);
        }
 
        // compute edge vector depending on number of corners
        const auto gridEdge = [&] ()
        {
            // triangles
            if (corners == 3)
            {
                if (edgeIndexInIntersection == 0) return c[1]-c[0];
                else if (edgeIndexInIntersection == 1) return c[2]-c[0];
                else if (edgeIndexInIntersection == 2) return c[2]-c[1];
                else DUNE_THROW(Dune::InvalidStateException, "Invalid edge index");
            }
            else if (corners == 4)
            {
                if (edgeIndexInIntersection == 0) return c[2]-c[0];
                else if (edgeIndexInIntersection == 1) return c[3]-c[1];
                else if (edgeIndexInIntersection == 2) return c[1]-c[0];
                else if (edgeIndexInIntersection == 3) return c[3]-c[2];
                else DUNE_THROW(Dune::InvalidStateException, "Invalid edge index");
            }
            else
                DUNE_THROW(Dune::InvalidStateException, "Invalid face geometry");
        } ();
 
        // compute lower edge of the scvf
        assert(scvfCorners.size() == 2);
        const auto scvfEdge = scvfCorners[1]-scvfCorners[0];
 
        // compute scvf normal via 2 cross products
        const auto faceN = crossProduct(gridEdge, scvfEdge);
        auto n = crossProduct(scvfEdge, faceN);
        n /= n.two_norm();
        return n;
    }
};
 
} // end namespace Dumux
 
#endif