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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 | #ifndef DUMUX_TEST_FREEFLOW_NAVIERSTOKES_3D_CHANNEL_PROBLEM_HH | ||
| 8 | #define DUMUX_TEST_FREEFLOW_NAVIERSTOKES_3D_CHANNEL_PROBLEM_HH | ||
| 9 | |||
| 10 | #if HAVE_DUNE_FOAMGRID | ||
| 11 | #include <dune/foamgrid/foamgrid.hh> | ||
| 12 | #endif | ||
| 13 | |||
| 14 | #include <dune/common/float_cmp.hh> | ||
| 15 | |||
| 16 | #include <dumux/common/math.hh> | ||
| 17 | #include <dumux/common/properties.hh> | ||
| 18 | #include <dumux/common/parameters.hh> | ||
| 19 | #include <dumux/io/vtkoutputmodule.hh> | ||
| 20 | #include <dumux/io/vtk/function.hh> | ||
| 21 | #include <dumux/io/grid/griddata.hh> | ||
| 22 | |||
| 23 | #include <dumux/geometry/diameter.hh> | ||
| 24 | #include <dumux/geometry/geometricentityset.hh> | ||
| 25 | #include <dumux/geometry/boundingboxtree.hh> | ||
| 26 | #include <dumux/multidomain/embedded/circlepoints.hh> | ||
| 27 | |||
| 28 | namespace Dumux { | ||
| 29 | |||
| 30 | /*! | ||
| 31 | * \brief Test problem for the (Navier-) Stokes model in a 3D channel | ||
| 32 | * | ||
| 33 | * Flow from left to right in a three-dimensional channel is considered. At the inlet (left) | ||
| 34 | * and outlet (right) fixed values for pressure are set. | ||
| 35 | */ | ||
| 36 | template <class TypeTag, class BaseProblem> | ||
| 37 | class ThreeDChannelTestProblem : public BaseProblem | ||
| 38 | { | ||
| 39 | using ParentType = BaseProblem; | ||
| 40 | |||
| 41 | using BoundaryTypes = typename ParentType::BoundaryTypes; | ||
| 42 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
| 43 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
| 44 | using SubControlVolume = typename FVElementGeometry::SubControlVolume; | ||
| 45 | using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace; | ||
| 46 | using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices; | ||
| 47 | using BoundaryFluxes = typename ParentType::BoundaryFluxes; | ||
| 48 | using DirichletValues = typename ParentType::DirichletValues; | ||
| 49 | using ModelTraits = GetPropType<TypeTag, Properties::ModelTraits>; | ||
| 50 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 51 | using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>; | ||
| 52 | |||
| 53 | static constexpr int dim = GridGeometry::GridView::dimension; | ||
| 54 | static constexpr auto dimWorld = GridGeometry::GridView::dimensionworld; | ||
| 55 | |||
| 56 | using Element = typename GridGeometry::GridView::template Codim<0>::Entity; | ||
| 57 | using GlobalPosition = typename Element::Geometry::GlobalCoordinate; | ||
| 58 | using VelocityVector = Dune::FieldVector<Scalar, dimWorld>; | ||
| 59 | |||
| 60 | using CouplingManager = GetPropType<TypeTag, Properties::CouplingManager>; | ||
| 61 | |||
| 62 | public: | ||
| 63 | template<class GridData> | ||
| 64 | 12 | ThreeDChannelTestProblem(std::shared_ptr<const GridGeometry> gridGeometry, std::shared_ptr<CouplingManager> couplingManager, GridData gridData) | |
| 65 | : ParentType(gridGeometry, couplingManager, ParentType::isMomentumProblem() ? "Momentum" : "Mass") | ||
| 66 |
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48 | , gridData_(gridData) |
| 67 | { | ||
| 68 |
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12 | deltaP_ = getParam<Scalar>("Problem.DeltaP"); |
| 69 |
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12 | density_ = getParam<Scalar>("Component.LiquidDensity"); |
| 70 |
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12 | viscosity_ = getParam<Scalar>("Component.LiquidDynamicViscosity"); |
| 71 | 12 | } | |
| 72 | |||
| 73 | /*! | ||
| 74 | * \brief Specifies which kind of boundary condition should be | ||
| 75 | * used for which equation on a given boundary segment. | ||
| 76 | * | ||
| 77 | * \param element The finite element | ||
| 78 | * \param scvf The sub control volume face | ||
| 79 | */ | ||
| 80 | ✗ | BoundaryTypes boundaryTypes(const Element& element, | |
| 81 | const SubControlVolumeFace& scvf) const | ||
| 82 | { | ||
| 83 |
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157296 | BoundaryTypes values; |
| 84 | |||
| 85 | if constexpr (ParentType::isMomentumProblem()) | ||
| 86 | { | ||
| 87 | if (isOutlet_(scvf) || isInlet_(scvf)) | ||
| 88 | values.setAllNeumann(); | ||
| 89 | else | ||
| 90 | values.setAllDirichlet(); | ||
| 91 | } | ||
| 92 | else | ||
| 93 |
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314592 | values.setNeumann(Indices::conti0EqIdx); |
| 94 | |||
| 95 | ✗ | return values; | |
| 96 | } | ||
| 97 | |||
| 98 | /*! | ||
| 99 | * \brief Specifies which kind of boundary condition should be | ||
| 100 | * used for which equation on a given boundary segment. | ||
| 101 | * | ||
| 102 | * \param element The finite element | ||
| 103 | * \param scv The sub control volume | ||
| 104 | */ | ||
| 105 | 58704 | BoundaryTypes boundaryTypes(const Element& element, | |
| 106 | const SubControlVolume& scv) const | ||
| 107 | { | ||
| 108 |
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82680 | BoundaryTypes values; |
| 109 | |||
| 110 | if constexpr (ParentType::isMomentumProblem()) | ||
| 111 | { | ||
| 112 | 117408 | auto fvGeometry = localView(this->gridGeometry()); | |
| 113 | 58704 | fvGeometry.bindElement(element); | |
| 114 | |||
| 115 |
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736888 | for (const auto& scvf : scvfs(fvGeometry)) |
| 116 | { | ||
| 117 |
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1973136 | if (fvGeometry.scv(scvf.insideScvIdx()).dofIndex() == scv.dofIndex() && scvf.boundary()) |
| 118 | { | ||
| 119 |
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75906 | if (isOutlet_(scvf) || isInlet_(scvf)) |
| 120 | values.setAllNeumann(); | ||
| 121 | else | ||
| 122 | values.setAllDirichlet(); | ||
| 123 | |||
| 124 | break; | ||
| 125 | } | ||
| 126 | } | ||
| 127 | } | ||
| 128 | else | ||
| 129 |
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47952 | values.setNeumann(Indices::conti0EqIdx); |
| 130 | |||
| 131 | 58704 | return values; | |
| 132 | } | ||
| 133 | |||
| 134 | /*! | ||
| 135 | * \brief Evaluates the boundary conditions for a Dirichlet control volume. | ||
| 136 | * | ||
| 137 | * \param globalPos The center of the finite volume which ought to be set. | ||
| 138 | */ | ||
| 139 | ✗ | DirichletValues dirichletAtPos(const GlobalPosition& globalPos) const | |
| 140 | { | ||
| 141 | // no-flow/no-slip | ||
| 142 | 23704 | return DirichletValues(0.0); | |
| 143 | } | ||
| 144 | |||
| 145 | /*! | ||
| 146 | * \brief Evaluates the boundary conditions for a Neumann control volume. | ||
| 147 | * | ||
| 148 | * \param element The element for which the Neumann boundary condition is set | ||
| 149 | * \param fvGeometry The fvGeometry | ||
| 150 | * \param elemVolVars The element volume variables | ||
| 151 | * \param elemFaceVars The element face variables | ||
| 152 | * \param scvf The boundary sub control volume face | ||
| 153 | */ | ||
| 154 | template<class ElementVolumeVariables, class ElementFluxVariablesCache> | ||
| 155 | 660568 | BoundaryFluxes neumann(const Element& element, | |
| 156 | const FVElementGeometry& fvGeometry, | ||
| 157 | const ElementVolumeVariables& elemVolVars, | ||
| 158 | const ElementFluxVariablesCache& elemFluxVarsCache, | ||
| 159 | const SubControlVolumeFace& scvf) const | ||
| 160 | { | ||
| 161 | 660568 | BoundaryFluxes values(0.0); | |
| 162 | if constexpr (ParentType::isMomentumProblem()) | ||
| 163 | { | ||
| 164 |
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27856 | if (isOutlet_(scvf) || isInlet_(scvf)) |
| 165 | { | ||
| 166 |
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17504 | const auto p = isInlet_(scvf) ? deltaP_ : 0.0; |
| 167 | 52512 | values.axpy(-p, scvf.unitOuterNormal()); | |
| 168 | } | ||
| 169 | } | ||
| 170 | else | ||
| 171 | { | ||
| 172 |
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1273558 | if (isInlet_(scvf) || isOutlet_(scvf)) |
| 173 | { | ||
| 174 | 54488 | const auto insideDensity = elemVolVars[scvf.insideScvIdx()].density(); | |
| 175 | 65820 | values[Indices::conti0EqIdx] = this->faceVelocity(element, fvGeometry, scvf) * insideDensity * scvf.unitOuterNormal(); | |
| 176 | } | ||
| 177 | } | ||
| 178 | |||
| 179 | 660568 | return values; | |
| 180 | } | ||
| 181 | |||
| 182 | template<class ScvOrScvf> | ||
| 183 | Scalar density(const Element&, | ||
| 184 | const FVElementGeometry&, | ||
| 185 | const ScvOrScvf&, | ||
| 186 | const bool isPreviousTimeStep = false) const | ||
| 187 | { | ||
| 188 | 1635768 | return density_; | |
| 189 | } | ||
| 190 | |||
| 191 | template<class ScvOrScvf> | ||
| 192 | ✗ | Scalar effectiveViscosity(const Element&, | |
| 193 | const FVElementGeometry&, | ||
| 194 | const ScvOrScvf&) const | ||
| 195 | { | ||
| 196 | ✗ | return viscosity_; | |
| 197 | } | ||
| 198 | |||
| 199 | template<class VelSolutionVector> | ||
| 200 | 3 | void computeFluxes(const VelSolutionVector& sol) | |
| 201 | { | ||
| 202 | 3 | Scalar influx = 0.0; | |
| 203 | 3 | Scalar outflux = 0.0; | |
| 204 | 6 | auto fvGeometry = localView(this->gridGeometry()); | |
| 205 |
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14908 | for (const auto& element : elements(this->gridGeometry().gridView())) |
| 206 | { | ||
| 207 | 14899 | fvGeometry.bind(element); | |
| 208 |
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186208 | for (const auto& scvf : scvfs(fvGeometry)) |
| 209 | { | ||
| 210 |
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156410 | if (scvf.boundary()) |
| 211 | { | ||
| 212 |
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12918 | if (isInlet_(scvf)) |
| 213 | 1302 | influx += scvf.area() * (sol[fvGeometry.scv(scvf.insideScvIdx()).dofIndex()] * scvf.unitOuterNormal()); | |
| 214 | |||
| 215 |
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12701 | else if (isOutlet_(scvf)) |
| 216 | 1302 | outflux += scvf.area() * (sol[fvGeometry.scv(scvf.insideScvIdx()).dofIndex()] * scvf.unitOuterNormal()); | |
| 217 | } | ||
| 218 | } | ||
| 219 | } | ||
| 220 | |||
| 221 | 12 | std::cout << "Influx: " << influx << " m^3/s" << std::endl; | |
| 222 | 9 | std::cout << "Outflux: " << outflux << " m^3/s" << std::endl; | |
| 223 | 9 | std::cout << "Balance: " << outflux+influx << " m^3/s" << std::endl; | |
| 224 | |||
| 225 | 9 | std::cout << "Transmissibility: " << outflux / deltaP_ << " m^3/(s*Pa)" << std::endl; | |
| 226 | 3 | } | |
| 227 | |||
| 228 | #if HAVE_DUNE_FOAMGRID | ||
| 229 | // Compute the wall shear stress | ||
| 230 | template<class VelSolutionVector, class GridVariables, class CouplingManager, class Assembler> | ||
| 231 | 3 | void computeWallShearStress( | |
| 232 | const VelSolutionVector& curSol, | ||
| 233 | const GridVariables& gridVariables, | ||
| 234 | CouplingManager& couplingManager, | ||
| 235 | const Assembler& assembler | ||
| 236 | ){ | ||
| 237 | 3 | const auto& gg = this->gridGeometry(); | |
| 238 | 3 | const auto& gv = gg.gridView(); | |
| 239 | |||
| 240 | using Grid = Dune::FoamGrid<dim-1, dimWorld>; | ||
| 241 | 3 | Dune::GridFactory<Grid> factory; | |
| 242 | { | ||
| 243 |
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3 | std::vector<std::vector<std::vector<unsigned int>>> elems; |
| 244 |
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3 | elems.reserve(gg.numBoundaryScvf()); |
| 245 |
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9 | std::vector<bool> insertedVertex(gv.size(dim), false); |
| 246 |
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9 | std::vector<int> vertexIndexMap(gv.size(dim), -1); |
| 247 |
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9 | std::vector<Dune::FieldVector<double, 3>> points; |
| 248 |
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3 | points.reserve(gg.numBoundaryScvf()*4); |
| 249 | 3 | std::size_t boundaryElementIndex = 0; | |
| 250 |
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29801 | for (const auto& element : elements(gv)) |
| 251 | { | ||
| 252 |
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148855 | for (const auto& intersection : intersections(gv, element)) |
| 253 | { | ||
| 254 |
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71746 | if (intersection.boundary()) |
| 255 | { | ||
| 256 |
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7890 | const auto insideIdx = intersection.indexInInside(); |
| 257 |
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7890 | const auto refElement = referenceElement(element); |
| 258 | 7890 | const auto numVertices = refElement.size(insideIdx, 1, dim); | |
| 259 |
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7890 | if (numVertices == 3) |
| 260 |
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20112 | elems.push_back({std::vector<unsigned int>{}}); |
| 261 |
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2862 | else if (numVertices == 4) |
| 262 |
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17172 | elems.push_back({std::vector<unsigned int>{}, |
| 263 | std::vector<unsigned int>{}}); // add two triangles | ||
| 264 | else | ||
| 265 | ✗ | DUNE_THROW(Dune::NotImplemented, | |
| 266 | "Wall shear stress for boundary type with " << numVertices << " corners" | ||
| 267 | ); | ||
| 268 | |||
| 269 | |||
| 270 |
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34422 | for (int i = 0; i < numVertices; ++i) |
| 271 | { | ||
| 272 | 26532 | const auto localVIdx = refElement.subEntity(insideIdx, 1, i, dim); | |
| 273 |
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26532 | const auto& vertex = element.template subEntity<dim>(localVIdx); |
| 274 |
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53064 | const auto vIdx = gg.vertexMapper().index(vertex); |
| 275 |
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79596 | if (!insertedVertex[vIdx]) |
| 276 | { | ||
| 277 |
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10764 | vertexIndexMap[vIdx] = points.size(); |
| 278 |
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10764 | points.push_back(vertex.geometry().corner(0)); |
| 279 | 16146 | insertedVertex[vIdx] = true; | |
| 280 | } | ||
| 281 | |||
| 282 | |||
| 283 |
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26532 | if (numVertices == 3) |
| 284 |
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45252 | elems[boundaryElementIndex][0].push_back(vertexIndexMap[vIdx]); |
| 285 | |||
| 286 |
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11448 | else if (numVertices == 4) |
| 287 | { | ||
| 288 | // add two triangles | ||
| 289 |
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11448 | if (i == 0) |
| 290 |
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8586 | elems[boundaryElementIndex][0].push_back(vertexIndexMap[vIdx]); |
| 291 |
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8586 | else if (i == 1 || i == 2) |
| 292 | { | ||
| 293 |
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17172 | elems[boundaryElementIndex][0].push_back(vertexIndexMap[vIdx]); |
| 294 |
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22896 | elems[boundaryElementIndex][1].push_back(vertexIndexMap[vIdx]); |
| 295 | } | ||
| 296 | else | ||
| 297 |
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11448 | elems[boundaryElementIndex][1].push_back(vertexIndexMap[vIdx]); |
| 298 | } | ||
| 299 | else | ||
| 300 | ✗ | DUNE_THROW(Dune::NotImplemented, | |
| 301 | "Wall shear stress for boundary type with " << numVertices << " corners" | ||
| 302 | ); | ||
| 303 | } | ||
| 304 | |||
| 305 | 7890 | ++boundaryElementIndex; | |
| 306 | } | ||
| 307 | } | ||
| 308 | } | ||
| 309 | |||
| 310 |
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5391 | for (const auto& p : points) |
| 311 |
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5382 | factory.insertVertex(p); |
| 312 |
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7899 | for (const auto& e : elems) |
| 313 |
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45174 | for (const auto& ee : e) |
| 314 |
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10752 | factory.insertElement(Dune::GeometryTypes::simplex(dim-1), ee); |
| 315 | } | ||
| 316 | |||
| 317 |
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6 | auto bGrid = factory.createGrid(); |
| 318 | |||
| 319 | using ElementSet = GridViewGeometricEntitySet<typename Grid::LeafGridView, 0>; | ||
| 320 | using Tree = BoundingBoxTree<ElementSet>; | ||
| 321 |
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15 | Tree tree(std::make_shared<ElementSet>(bGrid->leafGridView())); |
| 322 | |||
| 323 |
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15 | std::vector<GlobalPosition> wallShearStress(bGrid->leafGridView().size(0)); |
| 324 | |||
| 325 |
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3 | auto fvGeometry = localView(gg); |
| 326 |
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6 | auto elemVolVars = localView(gridVariables.curGridVolVars()); |
| 327 |
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6 | auto elemFluxVarsCache = localView(gridVariables.gridFluxVarsCache()); |
| 328 |
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14902 | for (const auto& element : elements(gv)) |
| 329 | { | ||
| 330 |
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29798 | const auto h = diameter(element.geometry()); |
| 331 | 14899 | couplingManager.bindCouplingContext( | |
| 332 | CouplingManager::freeFlowMomentumIndex, element, assembler | ||
| 333 | ); | ||
| 334 |
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14899 | fvGeometry.bind(element); |
| 335 |
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14899 | elemVolVars.bind(element, fvGeometry, curSol); |
| 336 |
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14899 | elemFluxVarsCache.bind(element, fvGeometry, elemVolVars); |
| 337 | |||
| 338 |
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186208 | for (const auto& scvf : scvfs(fvGeometry)) |
| 339 | { | ||
| 340 |
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156410 | if (scvf.boundary()) |
| 341 | { | ||
| 342 | 12918 | const auto ip = scvf.ipGlobal(); | |
| 343 | |||
| 344 | // assemble wss = sigma*n - (sigma*n*n)*n | ||
| 345 | 12918 | const auto& fluxVarCache = elemFluxVarsCache[scvf]; | |
| 346 | using Tensor = Dune::FieldMatrix<Scalar, dim>; | ||
| 347 | 12918 | Tensor sigma(0.0); | |
| 348 |
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90774 | for (const auto& scv : scvs(fvGeometry)) |
| 349 | { | ||
| 350 | 64938 | const auto& volVars = elemVolVars[scv]; | |
| 351 |
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259752 | for (int dir = 0; dir < dim; ++dir) |
| 352 | 974070 | sigma[dir].axpy(volVars.velocity(dir), fluxVarCache.gradN(scv.indexInElement())); | |
| 353 | } | ||
| 354 | 12918 | sigma += getTransposed(sigma); | |
| 355 | 12918 | sigma *= -this->effectiveViscosity(element, fvGeometry, scvf); | |
| 356 |
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51672 | for (int dir = 0; dir < dim; ++dir) |
| 357 |
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38754 | sigma[dir][dir] += this->pressure(element, fvGeometry, scvf); |
| 358 | |||
| 359 | 25836 | const auto sigman = mv(sigma, scvf.unitOuterNormal()); | |
| 360 | 38754 | const auto normalStress = (sigman * scvf.unitOuterNormal())*scvf.unitOuterNormal(); | |
| 361 | 12918 | const auto wss = sigman - normalStress; | |
| 362 | |||
| 363 | // make sure we hit all triangles of this face | ||
| 364 |
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51672 | const auto points = EmbeddedCoupling::circlePoints(ip, scvf.unitOuterNormal(), 0.05*h, 4); |
| 365 |
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142098 | for (const auto& p : points) |
| 366 |
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206688 | for (auto b : intersectingEntities(p, tree)) |
| 367 | 103344 | wallShearStress[b] = wss; | |
| 368 | } | ||
| 369 | } | ||
| 370 | } | ||
| 371 | |||
| 372 |
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9 | Dune::MultipleCodimMultipleGeomTypeMapper<typename Grid::LeafGridView> bMapper( |
| 373 |
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6 | bGrid->leafGridView(), Dune::mcmgLayout(Dune::Codim<0>()) |
| 374 | ); | ||
| 375 | using Field = Dumux::Vtk::Field<typename Grid::LeafGridView>; | ||
| 376 |
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9 | Dune::VTKWriter<typename Grid::LeafGridView> writer(bGrid->leafGridView()); |
| 377 |
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12 | writer.addCellData(Field( |
| 378 |
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6 | bGrid->leafGridView(), bMapper, wallShearStress, "wallShearStress", dimWorld |
| 379 | ).get()); | ||
| 380 |
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12 | writer.write(this->name() + "_wall_shear_stress"); |
| 381 | 3 | } | |
| 382 | #endif | ||
| 383 | |||
| 384 | private: | ||
| 385 | bool isInlet_(const SubControlVolumeFace& scvf) const | ||
| 386 | 1115028 | { return gridData_->getBoundaryDomainMarker(scvf.boundaryFlag()) == 1; } | |
| 387 | |||
| 388 | bool isOutlet_(const SubControlVolumeFace& scvf) const | ||
| 389 | 1085976 | { return gridData_->getBoundaryDomainMarker(scvf.boundaryFlag()) == 2; } | |
| 390 | |||
| 391 | static constexpr Scalar eps_ = 1e-10; | ||
| 392 | Scalar deltaP_, density_, viscosity_; | ||
| 393 | |||
| 394 | std::shared_ptr<GridData<typename GridGeometry::GridView::Grid>> gridData_; | ||
| 395 | }; | ||
| 396 | |||
| 397 | } // end namespace Dumux | ||
| 398 | |||
| 399 | #endif | ||
| 400 |