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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 | /*! | ||
9 | * \file | ||
10 | * \ingroup FacetCoupling | ||
11 | * \copydoc Dumux::EnrichedVertexDofMapper | ||
12 | */ | ||
13 | #ifndef DUMUX_ENRICHED_VERTEX_DOF_MAPPER_HH | ||
14 | #define DUMUX_ENRICHED_VERTEX_DOF_MAPPER_HH | ||
15 | |||
16 | #include <vector> | ||
17 | |||
18 | #include <dune/common/exceptions.hh> | ||
19 | #include <dune/common/timer.hh> | ||
20 | #include <dune/grid/common/mcmgmapper.hh> | ||
21 | |||
22 | #include "enrichmenthelper.hh" | ||
23 | |||
24 | namespace Dumux { | ||
25 | |||
26 | /*! | ||
27 | * \ingroup FacetCoupling | ||
28 | * \brief An indicator class used to mark vertices for enrichment. This | ||
29 | * implementation marks all vertices of a given grid of codimension | ||
30 | * one for enrichment, except those that are connected to inmersed | ||
31 | * boundaries. | ||
32 | */ | ||
33 | class EnrichmentIndicator | ||
34 | { | ||
35 | |||
36 | public: | ||
37 | /*! | ||
38 | * \brief Function that marks vertices for enrichment. This implementation | ||
39 | * works on the basis of a facet-conforming grid of codimension one | ||
40 | * which is used to determine the vertices that should be enriched. | ||
41 | * Effectively, all vertices that lie on the given (d-1)-dimensional | ||
42 | * grid are marked, except those that are connected to inmersed boundaries. | ||
43 | * | ||
44 | * \param vertexMarkers Stores for each vertex if it should be enriched | ||
45 | * \param gridView The d-dimensional grid for which vertices should be enriched | ||
46 | * \param vertexMapper Mapper that maps to the vertex indices of the given grid view | ||
47 | * \param codimOneGridView The view on the (d-1)-dimensional facet-conforming grid | ||
48 | * \param codimOneGridAdapter Adapter class that allows access to information on the d- | ||
49 | * dimensional grid for entities of the (d-1)-dimensional grid | ||
50 | */ | ||
51 | template< class GridView, | ||
52 | class VertexMapper, | ||
53 | class CodimOneGridView, | ||
54 | class CodimOneGridAdapter > | ||
55 | 28 | static void markVerticesForEnrichment(std::vector<bool>& vertexMarkers, | |
56 | const GridView& gridView, | ||
57 | const VertexMapper& vertexMapper, | ||
58 | const CodimOneGridView& codimOneGridView, | ||
59 | const CodimOneGridAdapter& codimOneGridAdapter) | ||
60 | { | ||
61 | static constexpr int dim = GridView::dimension; | ||
62 | static_assert(CodimOneGridView::dimension == dim-1, "Grid dimension mismatch"); | ||
63 | |||
64 | // reset the markers | ||
65 | 28 | vertexMarkers.assign(gridView.size(dim), false); | |
66 | |||
67 | // first find all bulk grid vertices on the boundary | ||
68 |
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56 | std::vector<bool> isOnBoundary(gridView.size(dim), false); |
69 |
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112626 | for (const auto& e : elements(gridView)) |
70 | { | ||
71 |
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56299 | const auto refElem = referenceElement(e); |
72 |
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600381 | for (const auto& is : intersections(gridView, e)) |
73 |
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217020 | if (is.boundary()) |
74 |
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19968 | for (int i = 0; i < is.geometry().corners(); ++i) |
75 |
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14128 | isOnBoundary[ vertexMapper.subIndex( e, |
76 | refElem.subEntity(is.indexInInside(), 1, i, dim), | ||
77 | 26816 | dim ) ] = true; | |
78 | } | ||
79 | |||
80 | // mark all vertices on the lower-dimensional grid to be enriched (except immersed boundaries) | ||
81 |
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81 | std::vector<typename GridView::IndexSet::IndexType> vertexIndicesStorage; |
82 |
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1112 | for (const auto& codimOneElement : elements(codimOneGridView)) |
83 | { | ||
84 | // if a codimension one element has 2 or more embedments, we need to enrich | ||
85 |
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1084 | if (codimOneGridAdapter.numEmbedments(codimOneElement) >= 2) |
86 | { | ||
87 |
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6760 | for (int i = 0; i < codimOneElement.subEntities(dim-1); ++i) |
88 |
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4688 | vertexMarkers[ codimOneGridAdapter.bulkGridVertexIndex(codimOneElement.template subEntity<dim-1>(i)) ] = true; |
89 | |||
90 | // however, we have to exclude immersed boundaries | ||
91 |
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1036 | const auto refElem = referenceElement(codimOneElement); |
92 |
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7828 | for (const auto& intersection : intersections(codimOneGridView, codimOneElement)) |
93 | { | ||
94 | // skip if intersection is not on boundary | ||
95 |
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4976 | if (!intersection.boundary()) |
96 | continue; | ||
97 | |||
98 | // obtain all bulk grid indices of the lower-dimensional intersection corners | ||
99 |
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160 | const auto numCorners = intersection.geometry().corners(); |
100 |
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160 | vertexIndicesStorage.resize(numCorners); |
101 |
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432 | for (int i = 0; i < numCorners; ++i) |
102 | { | ||
103 |
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272 | const auto vIdxLocal = refElem.subEntity(intersection.indexInInside(), 1, i, dim-1); |
104 |
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272 | vertexIndicesStorage[i] = codimOneGridAdapter.bulkGridVertexIndex( codimOneElement.template subEntity<dim-1>(vIdxLocal) ); |
105 | } | ||
106 | |||
107 | // if any of the vertices is on an immersed boundary, we must not enrich any of them | ||
108 |
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732 | if (std::any_of(vertexIndicesStorage.begin(), vertexIndicesStorage.end(), [&isOnBoundary] (auto idx) { return !isOnBoundary[idx]; })) |
109 | 1122 | std::for_each(vertexIndicesStorage.begin(), vertexIndicesStorage.end(), [&vertexMarkers] (auto idx) { vertexMarkers[idx] = false; }); | |
110 | } | ||
111 | } | ||
112 | } | ||
113 | 28 | } | |
114 | }; | ||
115 | |||
116 | /*! | ||
117 | * \ingroup FacetCoupling | ||
118 | * \brief A vertex mapper that allows for enrichment of nodes. Indication on where to | ||
119 | * enrich the nodes is done on the basis of a grid of codimension one living | ||
120 | * on the facets of the bulk grid. | ||
121 | * | ||
122 | * \tparam GV The Dune::GridView type | ||
123 | */ | ||
124 | template<class GV> | ||
125 | class EnrichedVertexDofMapper | ||
126 | { | ||
127 | static constexpr int dim = GV::dimension; | ||
128 | static_assert(dim > 1, "Vertex dof enrichment mapper currently only works for dim > 1!"); | ||
129 | |||
130 | using GIType = typename GV::IndexSet::IndexType; | ||
131 | using Vertex = typename GV::template Codim<dim>::Entity; | ||
132 | using Element = typename GV::template Codim<0>::Entity; | ||
133 | using MCMGMapper = Dune::MultipleCodimMultipleGeomTypeMapper<GV>; | ||
134 | |||
135 | public: | ||
136 | //! export the underlying grid view type | ||
137 | using GridView = GV; | ||
138 | //! export the grid index type | ||
139 | using GridIndexType = GIType; | ||
140 | |||
141 | //! the constructor | ||
142 | 28 | EnrichedVertexDofMapper(const GV& gridView) | |
143 | : gridView_(gridView) | ||
144 | , elementMapper_(gridView, Dune::mcmgElementLayout()) | ||
145 |
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196 | , vertexMapper_(gridView, Dune::mcmgVertexLayout()) |
146 | { | ||
147 |
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28 | initialize_(); |
148 | 28 | } | |
149 | |||
150 | //! constructor taking a layout as additional argument (for compatibility) | ||
151 | 26 | EnrichedVertexDofMapper(const GV& gridView, Dune::MCMGLayout layout) | |
152 | 26 | : EnrichedVertexDofMapper(gridView) | |
153 | { | ||
154 |
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52 | if ( !( static_cast<bool>(layout(Dune::GeometryTypes::vertex, dim)) ) ) |
155 | ✗ | DUNE_THROW(Dune::InvalidStateException, "Vertex mapper only makes sense for vertex layout!"); | |
156 | 26 | } | |
157 | |||
158 | //! map nodal subentity of codim 0 entity to the grid dof | ||
159 | 20306633 | GridIndexType subIndex(const Element& e, unsigned int i, unsigned int codim) const | |
160 | { | ||
161 |
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20306633 | assert(codim == dim && "Only element corners can be mapped by this mapper"); |
162 | 20306633 | return indexMap_[elementMapper_.index(e)][i]; | |
163 | } | ||
164 | |||
165 | //! map nodal subentity of codim 0 entity to the grid vertex index | ||
166 | GridIndexType vertexIndex(const Element& e, unsigned int i, unsigned int codim) const | ||
167 | { | ||
168 | assert(codim == dim && "Only element corners can be mapped by this mapper"); | ||
169 |
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427116 | return vertexMapper_.subIndex(e, i, codim); |
170 | } | ||
171 | |||
172 | //! map nodal entity to the grid vertex index | ||
173 | GridIndexType vertexIndex(const Vertex& v) const | ||
174 | { | ||
175 | assert(Vertex::Geometry::mydimension == 0 && "Only vertices can be mapped by this mapper"); | ||
176 |
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7828 | return vertexMapper_.index(v); |
177 | } | ||
178 | |||
179 | //! map vertex to the grid dof index | ||
180 | //! \note This is only valid if there are no enriched vertex dofs! | ||
181 | //! We therefore ask this in every call. This means quite some overhead, but | ||
182 | //! this mapper is not designed optimally for the case of no enriched nodes. | ||
183 | template< class EntityType > | ||
184 | 2052 | GridIndexType index(const EntityType& e) const | |
185 | { | ||
186 |
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2052 | if (hasEnrichedVertices_) |
187 | ✗ | DUNE_THROW(Dune::InvalidStateException, "Index map contains enriched vertex dofs. Direct mapping from vertex to index not possible."); | |
188 | |||
189 | ✗ | assert(EntityType::Geometry::mydimension == 0 && "Only vertices can be mapped by this mapper"); | |
190 | 2052 | return vertexMapper_.index(e); | |
191 | } | ||
192 | |||
193 | //! returns the number of dofs managed by this mapper | ||
194 | ✗ | std::size_t size() const | |
195 | ✗ | { return size_; } | |
196 | |||
197 | //! returns true if a vertex dof had been enriched | ||
198 | 2852 | bool isEnriched(const Vertex& v) | |
199 | 2852 | { return isEnriched_[ vertexMapper_.index(v) ]; } | |
200 | |||
201 | //! the update here simply updates the non-enriched map | ||
202 | //! enrichment has to be done afterwards! | ||
203 | void update(const GV& gridView) | ||
204 | { | ||
205 | 24 | gridView_ = gridView; | |
206 | 24 | initialize_(); | |
207 | } | ||
208 | |||
209 | void update(GV&& gridView) | ||
210 | { | ||
211 | gridView_ = std::move(gridView); | ||
212 | initialize_(); | ||
213 | } | ||
214 | |||
215 | /*! | ||
216 | * \brief Enriches the dof map subject to a (dim-1)-dimensional grid. | ||
217 | * \note This assumes conforming grids! | ||
218 | * | ||
219 | * \param codimOneGridView The grid view of a (dim-1)-dimensional grid conforming | ||
220 | * with the facets of the grid view passed to the constructor, | ||
221 | * indicating on which facets nodal dofs should be enriched. | ||
222 | * \param codimOneGridAdapter Adapter class that allows access to information on the d- | ||
223 | * dimensional grid for entities of the (d-1)-dimensional grid | ||
224 | * \param verbose Enable/disable terminal output of the time necessary for enrichment | ||
225 | */ | ||
226 | template<class CodimOneGridView, class CodimOneGridAdapter> | ||
227 | 28 | void enrich(const CodimOneGridView& codimOneGridView, | |
228 | const CodimOneGridAdapter& codimOneGridAdapter, | ||
229 | bool verbose = false) | ||
230 | { | ||
231 | static const int codimOneDim = CodimOneGridView::dimension; | ||
232 | static_assert(codimOneDim == dim-1, "Grid dimension mismatch!"); | ||
233 | static_assert(codimOneDim == 2 || codimOneDim == 1, "Inadmissible codimension one grid dimension"); | ||
234 | static_assert(int(CodimOneGridView::dimensionworld) == int(GV::dimensionworld), "Grid world dimension mismatch"); | ||
235 | |||
236 | // keep track of time | ||
237 | 28 | Dune::Timer watch; | |
238 | |||
239 | // mark vertices for enrichment using the indicator | ||
240 | 28 | EnrichmentIndicator::markVerticesForEnrichment(isEnriched_, gridView_, vertexMapper_, codimOneGridView, codimOneGridAdapter); | |
241 | |||
242 | // let the helper class do the enrichment of the index map | ||
243 | 56 | size_ = VertexEnrichmentHelper< GridView, CodimOneGridView >::enrich(indexMap_, | |
244 | isEnriched_, | ||
245 | gridView_, | ||
246 | vertexMapper_, | ||
247 | 28 | elementMapper_, | |
248 | codimOneGridView, | ||
249 | codimOneGridAdapter); | ||
250 | |||
251 | // check if new index map contains enriched dofs | ||
252 | 84 | hasEnrichedVertices_ = std::any_of(isEnriched_.begin(), isEnriched_.end(), [] (bool isEnriched) { return isEnriched; }); | |
253 | |||
254 |
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28 | if (verbose) |
255 | 12 | std::cout << "Vertex dof enrichment took " << watch.elapsed() << " seconds." << std::endl; | |
256 | 28 | } | |
257 | |||
258 | private: | ||
259 | |||
260 | //! initializes the mapper on the basis of the standard Dune mcmgmapper | ||
261 | 54 | void initialize_() | |
262 | { | ||
263 | 54 | size_ = gridView_.size(dim); | |
264 | 54 | hasEnrichedVertices_ = false; | |
265 | 54 | indexMap_.resize(gridView_.size(0)); | |
266 | 54 | isEnriched_.resize(gridView_.size(dim), false); | |
267 |
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332915 | for (const auto& e : elements(gridView_)) |
268 | { | ||
269 |
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112793 | const auto numCorners = e.geometry().corners(); |
270 |
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111811 | const auto eIdxGlobal = elementMapper_.index(e); |
271 |
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223622 | indexMap_[eIdxGlobal].resize(numCorners); |
272 |
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541687 | for (unsigned int i = 0; i < numCorners; ++i) |
273 |
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429876 | indexMap_[eIdxGlobal][i] = vertexMapper_.subIndex(e, i, dim); |
274 | } | ||
275 | 54 | } | |
276 | |||
277 | // data members | ||
278 | std::size_t size_; //! number of dofs mapped to by this mapper | ||
279 | GV gridView_; //! the grid view | ||
280 | MCMGMapper elementMapper_; //! unmodified element mapper | ||
281 | MCMGMapper vertexMapper_; //! unmodified vertex mapper | ||
282 | bool hasEnrichedVertices_; //! keeps track of if vertices are enriched | ||
283 | std::vector<bool> isEnriched_; //! keeps track which vertices are enriched | ||
284 | std::vector< std::vector<GIType> > indexMap_; //! contains the new dof indices | ||
285 | }; | ||
286 | |||
287 | } // end namespace Dumux | ||
288 | |||
289 | #endif | ||
290 |