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| 1 | // -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- | ||
| 2 | // vi: set et ts=4 sw=4 sts=4: | ||
| 3 | // | ||
| 4 | // SPDX-FileCopyrightInfo: Copyright © DuMux Project contributors, see AUTHORS.md in root folder | ||
| 5 | // SPDX-License-Identifier: GPL-3.0-or-later | ||
| 6 | // | ||
| 7 | /*! | ||
| 8 | * \file | ||
| 9 | * \ingroup BoxDFMModel | ||
| 10 | * \brief Helper class constructing the dual grid finite volume geometries | ||
| 11 | * for the box discrete fracture model. | ||
| 12 | */ | ||
| 13 | #ifndef DUMUX_POROUSMEDIUMFLOW_BOXDFM_GEOMETRY_HELPER_HH | ||
| 14 | #define DUMUX_POROUSMEDIUMFLOW_BOXDFM_GEOMETRY_HELPER_HH | ||
| 15 | |||
| 16 | #include <dune/common/fvector.hh> | ||
| 17 | #include <dune/common/reservedvector.hh> | ||
| 18 | #include <dune/geometry/multilineargeometry.hh> | ||
| 19 | |||
| 20 | #include <dumux/discretization/box/boxgeometryhelper.hh> | ||
| 21 | |||
| 22 | namespace Dumux { | ||
| 23 | |||
| 24 | template <class ct> | ||
| 25 | struct BoxDfmMLGeometryTraits : public Dune::MultiLinearGeometryTraits<ct> | ||
| 26 | { | ||
| 27 | // we use static vectors to store the corners as we know | ||
| 28 | // the number of corners in advance (2^(mydim) corners (1<<(mydim)) | ||
| 29 | // However, on fracture scvs the number might be smaller (use ReservedVector) | ||
| 30 | template< int mydim, int cdim > | ||
| 31 | struct CornerStorage | ||
| 32 | { | ||
| 33 | using Type = Dune::ReservedVector< Dune::FieldVector< ct, cdim >, (1<<(mydim)) >; | ||
| 34 | }; | ||
| 35 | |||
| 36 | // we know all scvfs will have the same geometry type | ||
| 37 | template< int mydim > | ||
| 38 | struct hasSingleGeometryType | ||
| 39 | { | ||
| 40 | static const bool v = true; | ||
| 41 | static const unsigned int topologyId = Dune::GeometryTypes::cube(mydim).id(); | ||
| 42 | }; | ||
| 43 | }; | ||
| 44 | |||
| 45 | //! Create sub control volumes and sub control volume face geometries | ||
| 46 | template<class GridView, int dim, class ScvType, class ScvfType> | ||
| 47 | class BoxDfmGeometryHelper; | ||
| 48 | |||
| 49 | //! A class to create sub control volume and sub control volume face geometries per element | ||
| 50 | template <class GridView, class ScvType, class ScvfType> | ||
| 51 | class BoxDfmGeometryHelper<GridView, 2, ScvType, ScvfType> : public BoxGeometryHelper<GridView, 2, ScvType, ScvfType> | ||
| 52 | { | ||
| 53 | using ParentType = BoxGeometryHelper<GridView, 2, ScvType, ScvfType>; | ||
| 54 | |||
| 55 | using Intersection = typename GridView::Intersection; | ||
| 56 | using ScvfCornerStorage = typename ScvfType::Traits::CornerStorage; | ||
| 57 | |||
| 58 | static constexpr auto dim = GridView::dimension; | ||
| 59 | using Scalar = typename GridView::ctype; | ||
| 60 | |||
| 61 | public: | ||
| 62 | |||
| 63 | //! Pull up constructor of base class | ||
| 64 |
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5059056 | using ParentType::ParentType; |
| 65 | |||
| 66 | //! Get the corners of the (d-1)-dimensional fracture scvf | ||
| 67 | 129342 | ScvfCornerStorage getFractureScvfCorners(unsigned int localFacetIndex, | |
| 68 | unsigned int) const | ||
| 69 | { | ||
| 70 | 129342 | const auto& geo = this->elementGeometry(); | |
| 71 |
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129342 | const auto ref = referenceElement(geo); |
| 72 |
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258684 | return ScvfCornerStorage({ geo.global(ref.position(localFacetIndex, 1)) }); |
| 73 | } | ||
| 74 | |||
| 75 | //! get fracture scvf normal vector (simply the unit vector of the edge) | ||
| 76 | //! The third argument is for compatibility reasons with the 3d case! | ||
| 77 | typename ScvfType::Traits::GlobalPosition | ||
| 78 | 258684 | fractureNormal(const ScvfCornerStorage& p, | |
| 79 | const Intersection& is, | ||
| 80 | unsigned int edgeIndexInIntersection) const | ||
| 81 | { | ||
| 82 | 258684 | const auto& geo = this->elementGeometry(); | |
| 83 | 258684 | const auto ref = referenceElement(geo); | |
| 84 |
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388026 | const auto v0 = ref.subEntity(is.indexInInside(), 1, 0, dim); |
| 85 |
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388026 | const auto v1 = ref.subEntity(is.indexInInside(), 1, 1, dim); |
| 86 | 258684 | auto normal = geo.corner(v1) - geo.corner(v0); | |
| 87 | 517368 | normal /= normal.two_norm(); | |
| 88 | 258684 | return normal; | |
| 89 | } | ||
| 90 | }; | ||
| 91 | |||
| 92 | //! A class to create sub control volume and sub control volume face geometries per element | ||
| 93 | template <class GridView, class ScvType, class ScvfType> | ||
| 94 | class BoxDfmGeometryHelper<GridView, 3, ScvType, ScvfType> : public BoxGeometryHelper<GridView, 3, ScvType, ScvfType> | ||
| 95 | { | ||
| 96 | using ParentType = BoxGeometryHelper<GridView, 3, ScvType, ScvfType>; | ||
| 97 | |||
| 98 | using Intersection = typename GridView::Intersection; | ||
| 99 | using ScvfCornerStorage = typename ScvfType::Traits::CornerStorage; | ||
| 100 | |||
| 101 | static constexpr auto dim = GridView::dimension; | ||
| 102 | static constexpr auto dimWorld = GridView::dimensionworld; | ||
| 103 | using Scalar = typename GridView::ctype; | ||
| 104 | |||
| 105 | public: | ||
| 106 | |||
| 107 | //! Pull up constructor of base class | ||
| 108 |
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547848 | using ParentType::ParentType; |
| 109 | |||
| 110 | //! Create the sub control volume face geometries on an intersection marked as fracture | ||
| 111 | 83160 | ScvfCornerStorage getFractureScvfCorners(unsigned int localFacetIndex, | |
| 112 | unsigned int indexInFacet) const | ||
| 113 | { | ||
| 114 | 83160 | constexpr int facetCodim = 1; | |
| 115 | |||
| 116 | // we have to use the corresponding facet geometry as the intersection geometry | ||
| 117 | // might be rotated or flipped. This makes sure that the corners (dof location) | ||
| 118 | // and corresponding scvfs are sorted in the same way | ||
| 119 | using Dune::referenceElement; | ||
| 120 | 83160 | const auto& geo = this->elementGeometry(); | |
| 121 | 83160 | const auto type = referenceElement(geo).type(localFacetIndex, facetCodim); | |
| 122 |
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83160 | if (type == Dune::GeometryTypes::triangle) |
| 123 | { | ||
| 124 | using Corners = Detail::Box::ScvfCorners<Dune::GeometryTypes::triangle>; | ||
| 125 | 166320 | return Detail::Box::subEntityKeyToCornerStorage<ScvfCornerStorage>(geo, localFacetIndex, facetCodim, Corners::keys[indexInFacet]); | |
| 126 | } | ||
| 127 | ✗ | else if (type == Dune::GeometryTypes::quadrilateral) | |
| 128 | { | ||
| 129 | using Corners = Detail::Box::ScvfCorners<Dune::GeometryTypes::quadrilateral>; | ||
| 130 | ✗ | return Detail::Box::subEntityKeyToCornerStorage<ScvfCornerStorage>(geo, localFacetIndex, facetCodim, Corners::keys[indexInFacet]); | |
| 131 | } | ||
| 132 | else | ||
| 133 | ✗ | DUNE_THROW(Dune::NotImplemented, "Box fracture scvf geometries for dim=" << dim | |
| 134 | << " dimWorld=" << dimWorld | ||
| 135 | << " type=" << type); | ||
| 136 | } | ||
| 137 | |||
| 138 | //! get fracture scvf normal vector | ||
| 139 | typename ScvfType::Traits::GlobalPosition | ||
| 140 | 83160 | fractureNormal(const ScvfCornerStorage& scvfCorners, | |
| 141 | const Intersection& is, | ||
| 142 | unsigned int edgeIndexInIntersection) const | ||
| 143 | { | ||
| 144 | 83160 | const auto& geo = this->elementGeometry(); | |
| 145 | 83160 | const auto refElement = referenceElement(geo); | |
| 146 | |||
| 147 | // first get the intersection corners (maximum "4" is for quadrilateral face) | ||
| 148 | 83160 | typename ScvfType::Traits::GlobalPosition c[4]; | |
| 149 | |||
| 150 | 124740 | const auto corners = refElement.size(is.indexInInside(), 1, dim); | |
| 151 |
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332640 | for (int i = 0; i < corners; ++i) |
| 152 | { | ||
| 153 | 374220 | const auto vIdxLocal = refElement.subEntity(is.indexInInside(), 1, i, dim); | |
| 154 | 249480 | c[i] = geo.corner(vIdxLocal); | |
| 155 | } | ||
| 156 | |||
| 157 | // compute edge vector depending on number of corners | ||
| 158 | 83160 | const auto gridEdge = [&] () | |
| 159 | { | ||
| 160 | // triangles | ||
| 161 |
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83160 | if (corners == 3) |
| 162 | { | ||
| 163 | 27720 | if (edgeIndexInIntersection == 0) return c[1]-c[0]; | |
| 164 |
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55440 | else if (edgeIndexInIntersection == 1) return c[2]-c[0]; |
| 165 |
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27720 | else if (edgeIndexInIntersection == 2) return c[2]-c[1]; |
| 166 | ✗ | else DUNE_THROW(Dune::InvalidStateException, "Invalid edge index"); | |
| 167 | } | ||
| 168 | ✗ | else if (corners == 4) | |
| 169 | { | ||
| 170 | ✗ | if (edgeIndexInIntersection == 0) return c[2]-c[0]; | |
| 171 | ✗ | else if (edgeIndexInIntersection == 1) return c[3]-c[1]; | |
| 172 | ✗ | else if (edgeIndexInIntersection == 2) return c[1]-c[0]; | |
| 173 | ✗ | else if (edgeIndexInIntersection == 3) return c[3]-c[2]; | |
| 174 | ✗ | else DUNE_THROW(Dune::InvalidStateException, "Invalid edge index"); | |
| 175 | } | ||
| 176 | else | ||
| 177 | ✗ | DUNE_THROW(Dune::InvalidStateException, "Invalid face geometry"); | |
| 178 |
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166320 | } (); |
| 179 | |||
| 180 | // compute lower edge of the scvf | ||
| 181 |
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83160 | assert(scvfCorners.size() == 2); |
| 182 | 249480 | const auto scvfEdge = scvfCorners[1]-scvfCorners[0]; | |
| 183 | |||
| 184 | // compute scvf normal via 2 cross products | ||
| 185 | 83160 | const auto faceN = crossProduct(gridEdge, scvfEdge); | |
| 186 | 83160 | auto n = crossProduct(scvfEdge, faceN); | |
| 187 | 166320 | n /= n.two_norm(); | |
| 188 | 83160 | return n; | |
| 189 | } | ||
| 190 | }; | ||
| 191 | |||
| 192 | } // end namespace Dumux | ||
| 193 | |||
| 194 | #endif | ||
| 195 |