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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-FileCopyrightText: 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 CCMpfaDiscretization | ||
| 10 | * \brief Class for the interaction volume of the mpfa-o scheme. | ||
| 11 | */ | ||
| 12 | #ifndef DUMUX_DISCRETIZATION_CC_MPFA_O_INTERACTIONVOLUME_HH | ||
| 13 | #define DUMUX_DISCRETIZATION_CC_MPFA_O_INTERACTIONVOLUME_HH | ||
| 14 | |||
| 15 | #include <type_traits> | ||
| 16 | |||
| 17 | #include <dune/common/dynmatrix.hh> | ||
| 18 | #include <dune/common/dynvector.hh> | ||
| 19 | #include <dune/common/fvector.hh> | ||
| 20 | #include <dune/common/reservedvector.hh> | ||
| 21 | |||
| 22 | #include <dumux/discretization/cellcentered/mpfa/interactionvolumebase.hh> | ||
| 23 | #include <dumux/discretization/cellcentered/mpfa/localfacedata.hh> | ||
| 24 | #include <dumux/discretization/cellcentered/mpfa/methods.hh> | ||
| 25 | |||
| 26 | #include "localassembler.hh" | ||
| 27 | #include "localsubcontrolentities.hh" | ||
| 28 | #include "interactionvolumeindexset.hh" | ||
| 29 | #include "scvgeometryhelper.hh" | ||
| 30 | |||
| 31 | namespace Dumux { | ||
| 32 | |||
| 33 | //! Forward declaration of the o-method's interaction volume | ||
| 34 | template< class Traits > class CCMpfaOInteractionVolume; | ||
| 35 | |||
| 36 | /*! | ||
| 37 | * \ingroup CCMpfaDiscretization | ||
| 38 | * \brief The default interaction volume traits class for the mpfa-o method. | ||
| 39 | * This uses dynamic types types for matrices/vectors in order to work | ||
| 40 | * on general grids. For interaction volumes known at compile time use | ||
| 41 | * the static interaction volume implementation. | ||
| 42 | * | ||
| 43 | * \tparam NodalIndexSet The type used for the dual grid's nodal index sets | ||
| 44 | * \tparam Scalar The Type used for scalar values | ||
| 45 | */ | ||
| 46 | template< class NodalIndexSet, class Scalar > | ||
| 47 | struct CCMpfaODefaultInteractionVolumeTraits | ||
| 48 | { | ||
| 49 | private: | ||
| 50 | using GridIndexType = typename NodalIndexSet::GridIndexType; | ||
| 51 | using LocalIndexType = typename NodalIndexSet::LocalIndexType; | ||
| 52 | |||
| 53 | static constexpr int dim = NodalIndexSet::Traits::GridView::dimension; | ||
| 54 | static constexpr int dimWorld = NodalIndexSet::Traits::GridView::dimensionworld; | ||
| 55 | |||
| 56 | using DimVector = Dune::FieldVector<Scalar, dim>; | ||
| 57 | using FaceOmegas = typename std::conditional< (dim<dimWorld), | ||
| 58 | std::vector<DimVector>, | ||
| 59 | Dune::ReservedVector<DimVector, 2> >::type; | ||
| 60 | |||
| 61 | //! Matrix/Vector traits to be used by the data handle | ||
| 62 | struct MVTraits | ||
| 63 | { | ||
| 64 | using OmegaStorage = std::vector< FaceOmegas >; | ||
| 65 | |||
| 66 | using AMatrix = Dune::DynamicMatrix< Scalar >; | ||
| 67 | using BMatrix = Dune::DynamicMatrix< Scalar >; | ||
| 68 | using CMatrix = Dune::DynamicMatrix< Scalar >; | ||
| 69 | using DMatrix = Dune::DynamicMatrix< Scalar >; | ||
| 70 | using TMatrix = Dune::DynamicMatrix< Scalar >; | ||
| 71 | using CellVector = Dune::DynamicVector< Scalar >; | ||
| 72 | using FaceVector = Dune::DynamicVector< Scalar >; | ||
| 73 | }; | ||
| 74 | |||
| 75 | public: | ||
| 76 | //! export the type of grid view | ||
| 77 | using GridView = typename NodalIndexSet::Traits::GridView; | ||
| 78 | //! export the type for the interaction volume index set | ||
| 79 | using IndexSet = CCMpfaOInteractionVolumeIndexSet< NodalIndexSet >; | ||
| 80 | //! export the type of interaction-volume local scvs | ||
| 81 | using LocalScvType = CCMpfaOInteractionVolumeLocalScv< IndexSet, Scalar, dim, dimWorld >; | ||
| 82 | //! export the type of interaction-volume local scvfs | ||
| 83 | using LocalScvfType = CCMpfaOInteractionVolumeLocalScvf< IndexSet >; | ||
| 84 | //! export the type of used for the iv-local face data | ||
| 85 | using LocalFaceData = InteractionVolumeLocalFaceData<GridIndexType, LocalIndexType>; | ||
| 86 | //! export the matrix/vector traits to be used by the iv | ||
| 87 | using MatVecTraits = MVTraits; | ||
| 88 | |||
| 89 | //! the type of assembler used for the o-method's iv-local eq systems | ||
| 90 | template<class Problem, class FVElementGeometry, class ElemVolVars> | ||
| 91 | using LocalAssembler = MpfaOInteractionVolumeAssembler<Problem, FVElementGeometry, ElemVolVars>; | ||
| 92 | }; | ||
| 93 | |||
| 94 | /*! | ||
| 95 | * \ingroup CCMpfaDiscretization | ||
| 96 | * \brief Class for the interaction volume of the mpfa-o method. | ||
| 97 | * This implementation creates dynamic objects of the local geometries | ||
| 98 | * and can be used at boundaries and on unstructured grids. | ||
| 99 | */ | ||
| 100 | template< class Traits > | ||
| 101 | 4639837 | class CCMpfaOInteractionVolume | |
| 102 | : public CCMpfaInteractionVolumeBase< Traits > | ||
| 103 | { | ||
| 104 | using GridView = typename Traits::GridView; | ||
| 105 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 106 | |||
| 107 | using IndexSet = typename Traits::IndexSet; | ||
| 108 | using GridIndexType = typename IndexSet::GridIndexType; | ||
| 109 | using LocalIndexType = typename IndexSet::LocalIndexType; | ||
| 110 | using Stencil = typename IndexSet::NodalGridStencilType; | ||
| 111 | |||
| 112 | using LocalScvType = typename Traits::LocalScvType; | ||
| 113 | using LocalScvfType = typename Traits::LocalScvfType; | ||
| 114 | using LocalFaceData = typename Traits::LocalFaceData; | ||
| 115 | |||
| 116 | public: | ||
| 117 | //! Data attached to scvf touching Dirichlet boundaries. | ||
| 118 | //! For the default o-scheme, we only store the corresponding vol vars index. | ||
| 119 | class DirichletData | ||
| 120 | { | ||
| 121 | GridIndexType volVarIndex_; | ||
| 122 | public: | ||
| 123 | //! Constructor | ||
| 124 | 461072 | DirichletData(const GridIndexType index) : volVarIndex_(index) {} | |
| 125 | |||
| 126 | //! Return corresponding vol var index | ||
| 127 | 2707408 | GridIndexType volVarIndex() const { return volVarIndex_; } | |
| 128 | }; | ||
| 129 | |||
| 130 | //! publicly state the mpfa-scheme this interaction volume is associated with | ||
| 131 | static constexpr MpfaMethods MpfaMethod = MpfaMethods::oMethod; | ||
| 132 | |||
| 133 | //! Sets up the local scope for a given iv index set | ||
| 134 | template< class Problem, class FVElementGeometry > | ||
| 135 |
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4639837 | void bind(const IndexSet& indexSet, |
| 136 | const Problem& problem, | ||
| 137 | const FVElementGeometry& fvGeometry) | ||
| 138 | { | ||
| 139 | // for the o-scheme, the stencil is equal to the scv | ||
| 140 | // index set of the dual grid's nodal index set | ||
| 141 |
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4639837 | stencil_ = &indexSet.nodalIndexSet().gridScvIndices(); |
| 142 | |||
| 143 | // number of interaction-volume-local scvs(=node-local for o-scheme) and scvfs | ||
| 144 |
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4639837 | numFaces_ = indexSet.numFaces(); |
| 145 | 4639837 | const auto numLocalScvs = indexSet.numScvs(); | |
| 146 |
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4639837 | const auto numGlobalScvfs = indexSet.nodalIndexSet().numScvfs(); |
| 147 | |||
| 148 | // reserve memory for local entities | ||
| 149 |
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4639837 | elements_.clear(); elements_.reserve(numLocalScvs); |
| 150 |
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4639837 | scvs_.clear(); scvs_.reserve(numLocalScvs); |
| 151 |
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4639837 | scvfs_.clear(); scvfs_.reserve(numFaces_); |
| 152 |
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4639837 | localFaceData_.clear(); localFaceData_.reserve(numGlobalScvfs); |
| 153 |
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4639837 | dirichletData_.clear(); dirichletData_.reserve(numFaces_); |
| 154 | |||
| 155 | // set up stuff related to sub-control volumes | ||
| 156 |
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20405221 | for (LocalIndexType scvIdxLocal = 0; scvIdxLocal < numLocalScvs; scvIdxLocal++) |
| 157 | { | ||
| 158 |
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15765384 | elements_.emplace_back(fvGeometry.gridGeometry().element( stencil()[scvIdxLocal] )); |
| 159 | 15765384 | scvs_.emplace_back(fvGeometry.gridGeometry().mpfaHelper(), | |
| 160 | fvGeometry, | ||
| 161 | 15765384 | fvGeometry.scv( stencil()[scvIdxLocal] ), | |
| 162 | scvIdxLocal, | ||
| 163 | indexSet); | ||
| 164 | } | ||
| 165 | |||
| 166 | // keep track of the number of unknowns etc | ||
| 167 | 4639837 | numUnknowns_ = 0; | |
| 168 | 4639837 | numKnowns_ = numLocalScvs; | |
| 169 | |||
| 170 | // set up quantities related to sub-control volume faces | ||
| 171 |
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22090116 | for (LocalIndexType faceIdxLocal = 0; faceIdxLocal < numFaces_; ++faceIdxLocal) |
| 172 | { | ||
| 173 |
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17450279 | const auto& scvf = fvGeometry.scvf(indexSet.gridScvfIndex(faceIdxLocal)); |
| 174 | |||
| 175 | // the neighboring scvs in local indices (order: 0 - inside scv, 1..n - outside scvs) | ||
| 176 |
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17450279 | const auto& neighborScvIndicesLocal = indexSet.neighboringLocalScvIndices(faceIdxLocal); |
| 177 | 17450279 | const auto numNeighborScvs = neighborScvIndicesLocal.size(); | |
| 178 |
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17450279 | localFaceData_.emplace_back(faceIdxLocal, neighborScvIndicesLocal[0], scvf.index()); |
| 179 | |||
| 180 | // create iv-local scvf object | ||
| 181 |
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17450279 | if (scvf.boundary()) |
| 182 | { | ||
| 183 |
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3411776 | if (problem.boundaryTypes(elements_[neighborScvIndicesLocal[0]], scvf).hasOnlyDirichlet()) |
| 184 | { | ||
| 185 | 402958 | scvfs_.emplace_back(scvf, neighborScvIndicesLocal, numKnowns_++, /*isDirichlet*/true); | |
| 186 | 402958 | dirichletData_.emplace_back(scvf.outsideScvIdx()); | |
| 187 | } | ||
| 188 | else | ||
| 189 | 2991692 | scvfs_.emplace_back(scvf, neighborScvIndicesLocal, numUnknowns_++, /*isDirichlet*/false); | |
| 190 | } | ||
| 191 | else | ||
| 192 | { | ||
| 193 | 14055629 | scvfs_.emplace_back(scvf, neighborScvIndicesLocal, numUnknowns_++, /*isDirichlet*/false); | |
| 194 | |||
| 195 | // add local face data objects for the outside faces | ||
| 196 |
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28136118 | for (LocalIndexType i = 1; i < numNeighborScvs; ++i) |
| 197 | { | ||
| 198 | // loop over scvfs in outside scv until we find the one coinciding with current scvf | ||
| 199 | 14080489 | const auto outsideLocalScvIdx = neighborScvIndicesLocal[i]; | |
| 200 | 14080489 | const auto& flipScvfIndex = fvGeometry.gridGeometry().flipScvfIndexSet()[scvf.index()][i-1]; | |
| 201 | 14080489 | const auto& flipScvf = fvGeometry.scvf(flipScvfIndex); | |
| 202 | 14080489 | localFaceData_.emplace_back(faceIdxLocal, // iv-local scvf idx | |
| 203 | outsideLocalScvIdx, // iv-local scv index | ||
| 204 | 28160978 | i-1, // scvf-local index in outside faces | |
| 205 | 14080489 | flipScvf.index()); // global scvf index | |
| 206 | } | ||
| 207 | } | ||
| 208 | } | ||
| 209 | 4639837 | } | |
| 210 | |||
| 211 | //! returns the number of primary scvfs of this interaction volume | ||
| 212 | 661846704 | std::size_t numFaces() const | |
| 213 |
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661846704 | { return numFaces_; } |
| 214 | |||
| 215 | //! returns the number of intermediate unknowns within this interaction volume | ||
| 216 | 189505140 | std::size_t numUnknowns() const | |
| 217 |
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319271064 | { return numUnknowns_; } |
| 218 | |||
| 219 | //! returns the number of (in this context) known solution values within this interaction volume | ||
| 220 | 183012336 | std::size_t numKnowns() const | |
| 221 |
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183012336 | { return numKnowns_; } |
| 222 | |||
| 223 | //! returns the number of scvs embedded in this interaction volume | ||
| 224 | 511268529 | std::size_t numScvs() const | |
| 225 |
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511268408 | { return scvs_.size(); } |
| 226 | |||
| 227 | //! returns the cell-stencil of this interaction volume | ||
| 228 | 592682268 | const Stencil& stencil() const | |
| 229 |
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591361878 | { return *stencil_; } |
| 230 | |||
| 231 | //! returns the grid element corresponding to a given iv-local scv idx | ||
| 232 | 211904 | const Element& element(LocalIndexType ivLocalScvIdx) const | |
| 233 |
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583548044 | { return elements_[ivLocalScvIdx]; } |
| 234 | |||
| 235 | //! returns the local scvf entity corresponding to a given iv-local scvf idx | ||
| 236 | 1231513272 | const LocalScvfType& localScvf(LocalIndexType ivLocalScvfIdx) const | |
| 237 |
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1231513272 | { return scvfs_[ivLocalScvfIdx]; } |
| 238 | |||
| 239 | //! returns the local scv entity corresponding to a given iv-local scv idx | ||
| 240 | 1198725484 | const LocalScvType& localScv(LocalIndexType ivLocalScvIdx) const | |
| 241 |
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1279275962 | { return scvs_[ivLocalScvIdx]; } |
| 242 | |||
| 243 | //! returns a reference to the container with the local face data | ||
| 244 | const std::vector<LocalFaceData>& localFaceData() const | ||
| 245 |
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733662780 | { return localFaceData_; } |
| 246 | |||
| 247 | //! returns a reference to the information container on Dirichlet BCs within this iv | ||
| 248 | const std::vector<DirichletData>& dirichletData() const | ||
| 249 | 95146826 | { return dirichletData_; } | |
| 250 | |||
| 251 | //! returns the geometry of the i-th local scv | ||
| 252 | template< class FVElementGeometry > | ||
| 253 | 400 | auto getScvGeometry(LocalIndexType ivLocalScvIdx, const FVElementGeometry& fvGeometry) const | |
| 254 |
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400 | { return CCMpfaOScvGeometryHelper<LocalScvType>::computeScvGeometry(ivLocalScvIdx, *this, fvGeometry); } |
| 255 | |||
| 256 | //! returns the number of interaction volumes living around a vertex | ||
| 257 | template< class NI > | ||
| 258 | static constexpr std::size_t numIVAtVertex(const NI& nodalIndexSet) | ||
| 259 | { return 1; } | ||
| 260 | |||
| 261 | //! adds the iv index sets living around a vertex to a given container | ||
| 262 | //! and stores the the corresponding index in a map for each scvf | ||
| 263 | template< class IvIndexSetContainer, | ||
| 264 | class ScvfIndexMap, | ||
| 265 | class NodalIndexSet, | ||
| 266 | class FlipScvfIndexSet > | ||
| 267 | 79874 | static void addIVIndexSets(IvIndexSetContainer& ivIndexSetContainer, | |
| 268 | ScvfIndexMap& scvfIndexMap, | ||
| 269 | const NodalIndexSet& nodalIndexSet, | ||
| 270 | const FlipScvfIndexSet& flipScvfIndexSet) | ||
| 271 | { | ||
| 272 | // the global index of the iv index set that is about to be created | ||
| 273 | 79874 | const auto curGlobalIndex = ivIndexSetContainer.size(); | |
| 274 | |||
| 275 | // make the one index set for this node | ||
| 276 | 79874 | ivIndexSetContainer.emplace_back(nodalIndexSet, flipScvfIndexSet); | |
| 277 | |||
| 278 | // store the index mapping | ||
| 279 |
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716634 | for (const auto scvfIdx : nodalIndexSet.gridScvfIndices()) |
| 280 | 636760 | scvfIndexMap[scvfIdx] = curGlobalIndex; | |
| 281 | 79874 | } | |
| 282 | |||
| 283 | private: | ||
| 284 | // pointer to cell stencil (in iv index set) | ||
| 285 | const Stencil* stencil_; | ||
| 286 | |||
| 287 | // Variables defining the local scope | ||
| 288 | std::vector<Element> elements_; | ||
| 289 | std::vector<LocalScvType> scvs_; | ||
| 290 | std::vector<LocalScvfType> scvfs_; | ||
| 291 | std::vector<LocalFaceData> localFaceData_; | ||
| 292 | std::vector<DirichletData> dirichletData_; | ||
| 293 | |||
| 294 | // sizes involved in the local system equations | ||
| 295 | std::size_t numFaces_; | ||
| 296 | std::size_t numUnknowns_; | ||
| 297 | std::size_t numKnowns_; | ||
| 298 | }; | ||
| 299 | |||
| 300 | } // end namespace Dumux | ||
| 301 | |||
| 302 | #endif | ||
| 303 |