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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 RANSModel | ||
10 | * \copydoc Dumux::RANSProblem | ||
11 | */ | ||
12 | #ifndef DUMUX_RANS_PROBLEM_HH | ||
13 | #define DUMUX_RANS_PROBLEM_HH | ||
14 | |||
15 | #include <algorithm> | ||
16 | |||
17 | #include <dune/common/fmatrix.hh> | ||
18 | #include <dumux/common/properties.hh> | ||
19 | #include <dumux/common/staggeredfvproblem.hh> | ||
20 | #include <dumux/discretization/localview.hh> | ||
21 | #include <dumux/discretization/method.hh> | ||
22 | #include <dumux/discretization/walldistance.hh> | ||
23 | #include <dumux/discretization/staggered/elementsolution.hh> | ||
24 | #include <dumux/freeflow/navierstokes/staggered/problem.hh> | ||
25 | #include "model.hh" | ||
26 | |||
27 | namespace Dumux { | ||
28 | |||
29 | //! forward declare | ||
30 | template<class TypeTag, TurbulenceModel turbulenceModel> | ||
31 | class RANSProblemImpl; | ||
32 | |||
33 | //! the turbulence-model-specfic RANS problem | ||
34 | template<class TypeTag> | ||
35 | using RANSProblem = RANSProblemImpl<TypeTag, GetPropType<TypeTag, Properties::ModelTraits>::turbulenceModel()>; | ||
36 | |||
37 | /*! | ||
38 | * \ingroup RANSModel | ||
39 | * \brief Reynolds-Averaged Navier-Stokes problem base class. | ||
40 | * | ||
41 | * This implements some base functionality for RANS models. | ||
42 | * Especially vectors containing all wall-relevant properties, which are accessed | ||
43 | * by the volumevariables. | ||
44 | */ | ||
45 | template<class TypeTag> | ||
46 | class RANSProblemBase : public NavierStokesStaggeredProblem<TypeTag> | ||
47 | { | ||
48 | using ParentType = NavierStokesStaggeredProblem<TypeTag>; | ||
49 | using Implementation = GetPropType<TypeTag, Properties::Problem>; | ||
50 | |||
51 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
52 | |||
53 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
54 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
55 | using GridView = typename GridGeometry::GridView; | ||
56 | using Element = typename GridView::template Codim<0>::Entity; | ||
57 | using SubControlVolume = typename FVElementGeometry::SubControlVolume; | ||
58 | using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace; | ||
59 | using VolumeVariables = GetPropType<TypeTag, Properties::VolumeVariables>; | ||
60 | using PrimaryVariables = typename VolumeVariables::PrimaryVariables; | ||
61 | using CellCenterPrimaryVariables = GetPropType<TypeTag, Properties::CellCenterPrimaryVariables>; | ||
62 | using FacePrimaryVariables = GetPropType<TypeTag, Properties::FacePrimaryVariables>; | ||
63 | using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices; | ||
64 | |||
65 | using GlobalPosition = typename SubControlVolumeFace::GlobalPosition; | ||
66 | |||
67 | static constexpr auto dim = GridView::dimension; | ||
68 | static constexpr int numCorners = SubControlVolumeFace::numCornersPerFace; | ||
69 | using DimVector = GlobalPosition; | ||
70 | using DimMatrix = Dune::FieldMatrix<Scalar, dim, dim>; | ||
71 | |||
72 | struct WallElementInformation | ||
73 | { | ||
74 | // store the element indices for all elements with an intersection on the wall | ||
75 | unsigned int wallElementIdx; | ||
76 | // for each wall element, store the faces normal axis | ||
77 | unsigned int wallFaceNormalAxis; | ||
78 | // for each wall element, store the location of the face center and each corner. | ||
79 | GlobalPosition wallFaceCenter; | ||
80 | std::array<GlobalPosition, numCorners> wallFaceCorners; | ||
81 | }; | ||
82 | |||
83 | public: | ||
84 | |||
85 | /*! | ||
86 | * \brief The constructor | ||
87 | * \param gridGeometry The finite volume grid geometry | ||
88 | * \param paramGroup The parameter group in which to look for runtime parameters first (default is "") | ||
89 | */ | ||
90 | 70 | RANSProblemBase(std::shared_ptr<const GridGeometry> gridGeometry, const std::string& paramGroup = "") | |
91 |
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140 | : ParentType(gridGeometry, paramGroup) |
92 | { | ||
93 |
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350 | if ( !(hasParamInGroup(this->paramGroup(), "RANS.IsFlatWallBounded"))) |
94 | { | ||
95 | std::cout << "The parameter \"Rans.IsFlatWallBounded\" is not specified. \n" | ||
96 | << " -- Based on the grid and the boundary conditions specified by the user," | ||
97 | ✗ | << " this parameter is set to be "<< std::boolalpha << isFlatWallBounded() << "\n"; | |
98 | } | ||
99 | |||
100 | // update size and initial values of the global vectors | ||
101 |
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280 | wallDistance_.resize(this->gridGeometry().elementMapper().size(), std::numeric_limits<Scalar>::max()); |
102 |
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280 | neighborIdx_.resize(this->gridGeometry().elementMapper().size()); |
103 |
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350 | velocity_.resize(this->gridGeometry().elementMapper().size(), DimVector(0.0)); |
104 |
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350 | velocityGradients_.resize(this->gridGeometry().elementMapper().size(), DimMatrix(0.0)); |
105 |
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280 | stressTensorScalarProduct_.resize(this->gridGeometry().elementMapper().size(), 0.0); |
106 |
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280 | vorticityTensorScalarProduct_.resize(this->gridGeometry().elementMapper().size(), 0.0); |
107 |
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280 | flowDirectionAxis_.resize(this->gridGeometry().elementMapper().size(), fixedFlowDirectionAxis_); |
108 |
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280 | storedViscosity_.resize(this->gridGeometry().elementMapper().size(), 0.0); |
109 |
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280 | storedDensity_.resize(this->gridGeometry().elementMapper().size(), 0.0); |
110 | 70 | } | |
111 | |||
112 | /*! | ||
113 | * \brief Update the static (solution independent) relations to the walls and neighbors | ||
114 | */ | ||
115 | 70 | void updateStaticWallProperties() | |
116 | { | ||
117 | 70 | std::cout << "Update static wall properties. "; | |
118 | 70 | calledUpdateStaticWallProperties = true; | |
119 | |||
120 | 70 | checkForWalls_(); | |
121 | 70 | findWallDistances_(); | |
122 | 70 | findNeighborIndices_(); | |
123 | 70 | } | |
124 | |||
125 | /*! | ||
126 | * \brief Update the dynamic (solution dependent) turbulence parameters | ||
127 | * | ||
128 | * \param curSol The solution vector. | ||
129 | */ | ||
130 | template<class SolutionVector> | ||
131 | 1127 | void updateDynamicWallProperties(const SolutionVector& curSol) | |
132 | { | ||
133 | 2254 | std::cout << "Update dynamic wall properties." << std::endl; | |
134 |
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1127 | if (!calledUpdateStaticWallProperties) |
135 | ✗ | DUNE_THROW(Dune::InvalidStateException, | |
136 | "You have to call updateStaticWallProperties() once before you call updateDynamicWallProperties()."); | ||
137 | |||
138 | 1127 | calculateCCVelocities_(curSol); | |
139 | 1127 | calculateCCVelocityGradients_(); | |
140 | 1127 | calculateMaxMinVelocities_(); | |
141 | 1127 | calculateStressTensor_(); | |
142 | 1127 | calculateVorticityTensor_(); | |
143 | 1127 | storeViscosities_(curSol); | |
144 | 1127 | } | |
145 | |||
146 | /*! | ||
147 | * \brief Returns whether a wall function should be used at a given face | ||
148 | * | ||
149 | * \param element The element. | ||
150 | * \param scvf The sub control volume face. | ||
151 | * \param eqIdx The equation index. | ||
152 | */ | ||
153 | ✗ | bool useWallFunction(const Element& element, | |
154 | const SubControlVolumeFace& scvf, | ||
155 | const int& eqIdx) const | ||
156 | ✗ | { return false; } | |
157 | |||
158 | /*! | ||
159 | * \brief Returns an additional wall function momentum flux | ||
160 | */ | ||
161 | template<class ElementVolumeVariables, class ElementFaceVariables> | ||
162 | ✗ | FacePrimaryVariables wallFunction(const Element& element, | |
163 | const FVElementGeometry& fvGeometry, | ||
164 | const ElementVolumeVariables& elemVolVars, | ||
165 | const ElementFaceVariables& elemFaceVars, | ||
166 | const SubControlVolumeFace& scvf, | ||
167 | const SubControlVolumeFace& lateralBoundaryFace) const | ||
168 | ✗ | { return FacePrimaryVariables(0.0); } | |
169 | |||
170 | /*! | ||
171 | * \brief Returns an additional wall function flux for cell-centered quantities | ||
172 | */ | ||
173 | template<class ElementVolumeVariables, class ElementFaceVariables> | ||
174 | ✗ | CellCenterPrimaryVariables wallFunction(const Element& element, | |
175 | const FVElementGeometry& fvGeometry, | ||
176 | const ElementVolumeVariables& elemVolVars, | ||
177 | const ElementFaceVariables& elemFaceVars, | ||
178 | const SubControlVolumeFace& scvf) const | ||
179 | ✗ | { return CellCenterPrimaryVariables(0.0); } | |
180 | |||
181 | /*! | ||
182 | * \brief Returns whether a given sub control volume face is on a wall | ||
183 | */ | ||
184 | 1005804617 | bool isFlatWallBounded() const | |
185 | { | ||
186 |
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1005804617 | static const bool hasAlignedWalls = hasAlignedWalls_(); |
187 | 1005804617 | return hasAlignedWalls; | |
188 | } | ||
189 | |||
190 | /*! | ||
191 | * \brief Returns the Karman constant | ||
192 | */ | ||
193 | ✗ | const Scalar karmanConstant() const | |
194 | ✗ | { return 0.41; } | |
195 | |||
196 | //! \brief Returns the \f$ \beta_{\omega} \f$ constant | ||
197 | ✗ | const Scalar betaOmega() const | |
198 | ✗ | { return 0.0708; } | |
199 | |||
200 | /*! | ||
201 | * \brief Return the turbulent Prandtl number \f$ [-] \f$ which is used to convert | ||
202 | * the eddy viscosity to an eddy thermal conductivity | ||
203 | */ | ||
204 | 43055122 | Scalar turbulentPrandtlNumber() const | |
205 | { | ||
206 |
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43055157 | static const Scalar turbulentPrandtlNumber |
207 |
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105 | = getParamFromGroup<Scalar>(this->paramGroup(), "RANS.TurbulentPrandtlNumber", 1.0); |
208 | 43055122 | return turbulentPrandtlNumber; | |
209 | } | ||
210 | |||
211 | /*! | ||
212 | * \brief Return the turbulent Schmidt number \f$ [-] \f$ which is used to convert | ||
213 | * the eddy viscosity to an eddy diffusivity | ||
214 | */ | ||
215 | 98533912 | Scalar turbulentSchmidtNumber() const | |
216 | { | ||
217 |
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98533982 | static const Scalar turbulentSchmidtNumber |
218 |
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210 | = getParamFromGroup<Scalar>(this->paramGroup(), "RANS.TurbulentSchmidtNumber", 1.0); |
219 | 98533912 | return turbulentSchmidtNumber; | |
220 | } | ||
221 | |||
222 | 139797016 | int wallNormalAxis(const int elementIdx) const | |
223 | { | ||
224 |
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139797016 | if (!isFlatWallBounded()) |
225 | ✗ | DUNE_THROW(Dune::NotImplemented, "\n Due to grid/geometric concerns, models requiring a wallNormalAxis " | |
226 | << "can only be used for flat wall bounded flows. " | ||
227 | << "\n If your geometry is a flat channel, " | ||
228 | << "please set the runtime parameter RANS.IsFlatWallBounded to true. \n"); | ||
229 | 279594032 | return wallNormalAxis_[elementIdx]; | |
230 | } | ||
231 | |||
232 | 169490604 | int flowDirectionAxis(const int elementIdx) const | |
233 | { | ||
234 |
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169490604 | if (!isFlatWallBounded()) |
235 | ✗ | DUNE_THROW(Dune::NotImplemented, "\n Due to grid/geometric concerns, models requiring a flowDirectionAxis " | |
236 | << "can only be used for flat wall bounded flows. " | ||
237 | << "\n If your geometry is a flat channel, " | ||
238 | << "please set the runtime parameter RANS.IsFlatWallBounded to true. \n"); | ||
239 | 338981208 | return flowDirectionAxis_[elementIdx]; | |
240 | } | ||
241 | |||
242 | 598219908 | unsigned int wallElementIndex(const int elementIdx) const | |
243 | { | ||
244 |
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598219908 | if (!isFlatWallBounded()) |
245 | ✗ | DUNE_THROW(Dune::NotImplemented, "\n Due to grid/geometric concerns, models requiring a wallElementIndex " | |
246 | << "can only be used for flat wall bounded flows. " | ||
247 | << "\n If your geometry is a flat channel, " | ||
248 | << "please set the runtime parameter RANS.IsFlatWallBounded to true. \n"); | ||
249 | 1196439816 | return wallElementIdx_[elementIdx]; | |
250 | |||
251 | } | ||
252 | |||
253 | Scalar wallDistance(const int elementIdx) const | ||
254 |
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369701112 | { return wallDistance_[elementIdx]; } |
255 | |||
256 | 5146204 | GlobalPosition cellCenter(const int elementIdx) const | |
257 | { | ||
258 | 10292408 | const auto& element = this->gridGeometry().element(elementIdx); | |
259 | 5146204 | return element.geometry().center(); | |
260 | } | ||
261 | |||
262 | unsigned int neighborIndex(const int elementIdx, const int axisIdx, const int sideIdx) const | ||
263 |
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|
5392472 | { return neighborIdx_[elementIdx][axisIdx][sideIdx];} |
264 | |||
265 | DimVector ccVelocityVector(const int elementIdx) const | ||
266 | 196584928 | { return velocity_[elementIdx]; } | |
267 | |||
268 | Scalar ccVelocity(const int elementIdx, const int axisIdx) const | ||
269 |
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|
259233522 | { return velocity_[elementIdx][axisIdx]; } |
270 | |||
271 | DimVector velocityMaximum(const int elementIdx) const | ||
272 |
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|
367357888 | { return velocityMaximum_[elementIdx]; } |
273 | |||
274 | DimVector velocityMinimum(const int elementIdx) const | ||
275 |
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|
367357888 | { return velocityMinimum_[elementIdx]; } |
276 | |||
277 | DimMatrix velocityGradientTensor(const int elementIdx) const | ||
278 | 196584928 | { return velocityGradients_[elementIdx]; } | |
279 | |||
280 | Scalar velocityGradient(const int elementIdx, const int i, const int j) const | ||
281 |
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347487648 | { return velocityGradients_[elementIdx][i][j]; } |
282 | |||
283 | Scalar stressTensorScalarProduct(const int elementIdx) const | ||
284 | 186060632 | { return stressTensorScalarProduct_[elementIdx]; } | |
285 | |||
286 | Scalar vorticityTensorScalarProduct(const int elementIdx) const | ||
287 | 53732960 | { return vorticityTensorScalarProduct_[elementIdx]; } | |
288 | |||
289 | Scalar storedViscosity(const int elementIdx) const | ||
290 | 673834808 | { return storedViscosity_[elementIdx]; } | |
291 | |||
292 | Scalar storedDensity(const int elementIdx) const | ||
293 | 673964240 | { return storedDensity_[elementIdx]; } | |
294 | |||
295 | Scalar kinematicViscosity(const int elementIdx) const | ||
296 |
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650688888 | { return storedViscosity(elementIdx) / storedDensity(elementIdx); } |
297 | |||
298 | bool calledUpdateStaticWallProperties = false; | ||
299 | |||
300 | private: | ||
301 | |||
302 | 70 | bool hasAlignedWalls_() const | |
303 | { | ||
304 |
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350 | if ( hasParamInGroup(this->paramGroup(), "RANS.IsFlatWallBounded")) |
305 | { | ||
306 |
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70 | static const bool isFlatWallBounded = getParamFromGroup<bool>(this->paramGroup(), "RANS.IsFlatWallBounded"); |
307 | 70 | return isFlatWallBounded; | |
308 | } | ||
309 | |||
310 | ✗ | std::vector<int> wallFaceAxis; | |
311 | ✗ | wallFaceAxis.reserve(this->gridGeometry().numBoundaryScvf()); | |
312 | |||
313 | ✗ | const auto gridView = this->gridGeometry().gridView(); | |
314 | ✗ | auto fvGeometry = localView(this->gridGeometry()); | |
315 | ✗ | for (const auto& element : elements(gridView)) | |
316 | { | ||
317 | ✗ | fvGeometry.bindElement(element); | |
318 | ✗ | for (const auto& scvf : scvfs(fvGeometry)) | |
319 | ✗ | if (!scvf.boundary() && asImp_().boundaryTypes(element, scvf).hasWall()) // only search for walls at a global boundary | |
320 | ✗ | wallFaceAxis.push_back(scvf.directionIndex()); | |
321 | } | ||
322 | |||
323 | // Returns if all wall directions are the same | ||
324 | ✗ | return std::all_of(wallFaceAxis.begin(), wallFaceAxis.end(), [firstDir=wallFaceAxis[0]](auto dir){ return (dir == firstDir);} ) ; | |
325 | } | ||
326 | |||
327 | 70 | void checkForWalls_() | |
328 | { | ||
329 |
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280 | for (const auto& element : elements(this->gridGeometry().gridView())) |
330 | { | ||
331 |
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140 | auto fvGeometry = localView(this->gridGeometry()); |
332 |
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70 | fvGeometry.bindElement(element); |
333 |
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200 | for (auto&& scvf : scvfs(fvGeometry)) |
334 |
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144 | if (asImp_().boundaryTypes(element, scvf).hasWall()) |
335 | 70 | return; | |
336 | } | ||
337 | // If reached, no walls were found using the boundary types has wall function. | ||
338 | ✗ | DUNE_THROW(Dune::InvalidStateException, "No walls are are specified with the setWall() function"); | |
339 | } | ||
340 | |||
341 | /*! | ||
342 | * \brief Use the boundary search algorithm to find the shortest distance to a wall for each element | ||
343 | * | ||
344 | * Also store the wall element's index, and its direction in the case of flat wall bounded problems | ||
345 | */ | ||
346 | 70 | void findWallDistances_() | |
347 | { | ||
348 | 610 | WallDistance wallInformation(this->gridGeometry(), WallDistance<GridGeometry>::atElementCenters, | |
349 | 140 | [this] (const FVElementGeometry& fvGeometry, const SubControlVolumeFace& scvf) | |
350 |
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4540 | { return asImp_().boundaryTypes(fvGeometry.element(), scvf).hasWall(); }); |
351 |
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70 | wallDistance_ = wallInformation.wallDistance(); |
352 |
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70 | storeWallElementAndDirectionIndex_(wallInformation.wallData()); |
353 | 70 | } | |
354 | |||
355 | template <class WallData> | ||
356 | 70 | void storeWallElementAndDirectionIndex_(const WallData& wallData) | |
357 | { | ||
358 | // The wall Direction Index is used for flat quadrilateral channel problems only | ||
359 | if (!(GridGeometry::discMethod == DiscretizationMethods::staggered)) | ||
360 | DUNE_THROW(Dune::NotImplemented, "The wall direction Index can only be calculated for quadrilateral structured grids"); | ||
361 | |||
362 | // If isFlatWallBounded, the corresponding wall element is stored for each element | ||
363 |
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70 | if (isFlatWallBounded()) |
364 | { | ||
365 | 134 | wallNormalAxis_.resize(wallData.size()); | |
366 | 134 | wallElementIdx_.resize(wallData.size()); | |
367 | |||
368 |
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13868 | for (const auto& element : elements(this->gridGeometry().gridView())) |
369 | { | ||
370 | 20400 | unsigned int elementIdx = this->gridGeometry().elementMapper().index(element); | |
371 |
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13600 | wallElementIdx_[elementIdx] = wallData[elementIdx].eIdx; |
372 |
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34000 | if ( ! (hasParam("RANS.WallNormalAxis")) ) |
373 | { | ||
374 | 1000 | GlobalPosition wallOuterNormal = wallData[elementIdx].scvfOuterNormal; | |
375 | if constexpr (dim == 2) // 2D | ||
376 | 3000 | wallNormalAxis_[elementIdx] = (wallOuterNormal[0] == 1) ? 0 : 1; | |
377 | else // 3D | ||
378 | wallNormalAxis_[elementIdx] = (wallOuterNormal[0] == 1) ? 0 : ((wallOuterNormal[1] == 1) ? 1 : 2); | ||
379 | } | ||
380 | else | ||
381 | 11600 | wallNormalAxis_[elementIdx] = fixedWallNormalAxis_; | |
382 | } | ||
383 | } | ||
384 | 70 | } | |
385 | |||
386 | /*! | ||
387 | * \brief Store all direct neighbor indices for each element | ||
388 | */ | ||
389 | 70 | void findNeighborIndices_() | |
390 | { | ||
391 | // search for neighbor Idxs | ||
392 |
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15282 | for (const auto& element : elements(this->gridGeometry().gridView())) |
393 | { | ||
394 | 15072 | unsigned int elementIdx = this->gridGeometry().elementMapper().index(element); | |
395 |
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22608 | for (unsigned int axisIdx = 0; axisIdx < dim; ++axisIdx) |
396 | { | ||
397 | 45216 | neighborIdx_[elementIdx][axisIdx][0] = elementIdx; | |
398 | 45216 | neighborIdx_[elementIdx][axisIdx][1] = elementIdx; | |
399 | } | ||
400 | |||
401 |
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60288 | for (const auto& intersection : intersections(this->gridGeometry().gridView(), element)) |
402 | { | ||
403 |
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30144 | if (intersection.boundary()) |
404 | continue; | ||
405 | |||
406 | 109896 | unsigned int neighborIdx = this->gridGeometry().elementMapper().index(intersection.outside()); | |
407 |
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82422 | for (unsigned int axisIdx = 0; axisIdx < dim; ++axisIdx) |
408 | { | ||
409 |
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54948 | if (abs(cellCenter(elementIdx)[axisIdx] - cellCenter(neighborIdx)[axisIdx]) > 1e-8) |
410 | { | ||
411 |
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27474 | if (cellCenter(elementIdx)[axisIdx] > cellCenter(neighborIdx)[axisIdx]) |
412 | 54948 | neighborIdx_[elementIdx][axisIdx][0] = neighborIdx; | |
413 | |||
414 |
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27474 | if (cellCenter(elementIdx)[axisIdx] < cellCenter(neighborIdx)[axisIdx]) |
415 | 54948 | neighborIdx_[elementIdx][axisIdx][1] = neighborIdx; | |
416 | } | ||
417 | } | ||
418 | } | ||
419 | } | ||
420 | 70 | } | |
421 | |||
422 | template<class SolutionVector> | ||
423 | 1127 | void calculateCCVelocities_(const SolutionVector& curSol) | |
424 | { | ||
425 |
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2254 | auto fvGeometry = localView(this->gridGeometry()); |
426 | // calculate cell-center-averaged velocities | ||
427 |
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495357 | for (const auto& element : elements(this->gridGeometry().gridView())) |
428 | { | ||
429 |
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245968 | fvGeometry.bindElement(element); |
430 | 737904 | unsigned int elementIdx = this->gridGeometry().elementMapper().index(element); | |
431 | |||
432 | // calculate velocities | ||
433 | 245968 | DimVector velocityTemp(0.0); | |
434 |
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1479808 | for (auto&& scvf : scvfs(fvGeometry)) |
435 | { | ||
436 | 983872 | const int dofIdxFace = scvf.dofIndex(); | |
437 | 1967744 | const auto numericalSolutionFace = curSol[GridGeometry::faceIdx()][dofIdxFace][Indices::velocity(scvf.directionIndex())]; | |
438 | 1967744 | velocityTemp[scvf.directionIndex()] += numericalSolutionFace; | |
439 | } | ||
440 |
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737904 | for (unsigned int axisIdx = 0; axisIdx < dim; ++axisIdx) |
441 | 1967744 | velocity_[elementIdx][axisIdx] = velocityTemp[axisIdx] * 0.5; // faces are equidistant to cell center | |
442 | } | ||
443 | 1127 | } | |
444 | |||
445 | |||
446 | 1127 | void calculateCCVelocityGradients_() | |
447 | { | ||
448 | using std::abs; | ||
449 | |||
450 | // calculate cell-center-averaged velocity gradients, maximum, and minimum values | ||
451 |
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2254 | auto fvGeometry = localView(this->gridGeometry()); |
452 |
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495357 | for (const auto& element : elements(this->gridGeometry().gridView())) |
453 | { | ||
454 | 491936 | const unsigned int elementIdx = this->gridGeometry().elementMapper().index(element); | |
455 | |||
456 |
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737904 | for (unsigned int j = 0; j < dim; ++j) |
457 | { | ||
458 |
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1475808 | for (unsigned int i = 0; i < dim; ++i) |
459 | { | ||
460 |
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983872 | const unsigned int neighborIndex0 = neighborIndex(elementIdx, j, 0); |
461 |
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983872 | const unsigned int neighborIndex1 = neighborIndex(elementIdx, j, 1); |
462 | |||
463 |
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1967744 | velocityGradients_[elementIdx][i][j] |
464 |
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1967744 | = (ccVelocity(neighborIndex1, i) - ccVelocity(neighborIndex0, i)) |
465 |
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983872 | / (cellCenter(neighborIndex1)[j] - cellCenter(neighborIndex0)[j]); |
466 | |||
467 |
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983872 | if (abs(cellCenter(neighborIndex1)[j] - cellCenter(neighborIndex0)[j]) < 1e-8) |
468 | ✗ | velocityGradients_[elementIdx][i][j] = 0.0; | |
469 | } | ||
470 | } | ||
471 | |||
472 |
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245968 | fvGeometry.bindElement(element); |
473 |
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2459680 | for (auto&& scvf : scvfs(fvGeometry)) |
474 | { | ||
475 | // adapt calculations for Dirichlet condition | ||
476 | 983872 | unsigned int axisIdx = scvf.directionIndex(); | |
477 |
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983872 | if (scvf.boundary()) |
478 | { | ||
479 |
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208470 | for (unsigned int velIdx = 0; velIdx < dim; ++velIdx) |
480 | { | ||
481 |
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139540 | if (!asImp_().boundaryTypes(element, scvf).isDirichlet(Indices::velocity(velIdx))) |
482 | 52700 | continue; | |
483 | |||
484 |
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86680 | Scalar dirichletVelocity = asImp_().dirichlet(element, scvf)[Indices::velocity(velIdx)]; |
485 | |||
486 |
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86280 | unsigned int neighborIdx = neighborIndex(elementIdx, axisIdx, 0); |
487 |
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258840 | if (scvf.center()[axisIdx] < cellCenter(elementIdx)[axisIdx]) |
488 | 138180 | neighborIdx = neighborIndex(elementIdx, axisIdx, 1); | |
489 | |||
490 | 172560 | velocityGradients_[elementIdx][velIdx][axisIdx] | |
491 |
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86280 | = (ccVelocity(neighborIdx, velIdx) - dirichletVelocity) |
492 |
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86280 | / (cellCenter(neighborIdx)[axisIdx] - scvf.center()[axisIdx]); |
493 | } | ||
494 | } | ||
495 | |||
496 | // Calculate the BJS-velocity by accounting for all sub faces. | ||
497 |
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2951616 | std::vector<int> bjsNumFaces(dim, 0); |
498 |
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3935488 | std::vector<unsigned int> bjsNeighbor(dim, 0); |
499 | 983872 | DimVector bjsVelocityAverage(0.0); | |
500 | 983872 | DimVector normalNormCoordinate(0.0); | |
501 | 983872 | unsigned int velCompIdx = Indices::velocity(scvf.directionIndex()); | |
502 | 983872 | const int numSubFaces = scvf.pairData().size(); | |
503 |
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2951616 | for(int localSubFaceIdx = 0; localSubFaceIdx < numSubFaces; ++localSubFaceIdx) |
504 | { | ||
505 |
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7870976 | const auto& lateralFace = fvGeometry.scvf(scvf.insideScvIdx(), scvf.pairData()[localSubFaceIdx].localLateralFaceIdx); |
506 | |||
507 | // adapt calculations for Beavers-Joseph-Saffman condition | ||
508 | 1967744 | unsigned int lateralAxisIdx = lateralFace.directionIndex(); | |
509 |
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1968864 | if (lateralFace.boundary() && (asImp_().boundaryTypes(element, lateralFace).isBeaversJoseph(Indices::velocity(velCompIdx)))) |
510 | { | ||
511 | ✗ | unsigned int neighborIdx = neighborIndex(elementIdx, lateralAxisIdx, 0); | |
512 | ✗ | if (lateralFace.center()[lateralAxisIdx] < cellCenter(elementIdx)[lateralAxisIdx]) | |
513 | neighborIdx = neighborIndex(elementIdx, lateralAxisIdx, 1); | ||
514 | |||
515 | ✗ | const SubControlVolume& scv = fvGeometry.scv(scvf.insideScvIdx()); | |
516 | ✗ | bjsVelocityAverage[lateralAxisIdx] += ParentType::beaversJosephVelocity(element, scv, scvf, lateralFace, ccVelocity(elementIdx, velCompIdx), 0.0); | |
517 | if (bjsNumFaces[lateralAxisIdx] > 0 && neighborIdx != bjsNeighbor[lateralAxisIdx]) | ||
518 | DUNE_THROW(Dune::InvalidStateException, "Two different neighborIdx should not occur"); | ||
519 | bjsNeighbor[lateralAxisIdx] = neighborIdx; | ||
520 | normalNormCoordinate[lateralAxisIdx] = lateralFace.center()[lateralAxisIdx]; | ||
521 | bjsNumFaces[lateralAxisIdx]++; | ||
522 | } | ||
523 | } | ||
524 |
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2951616 | for (unsigned axisIdx = 0; axisIdx < dim; ++axisIdx) |
525 | { | ||
526 |
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3935488 | if (bjsNumFaces[axisIdx] == 0) |
527 | continue; | ||
528 | |||
529 | ✗ | unsigned int neighborIdx = bjsNeighbor[axisIdx]; | |
530 | ✗ | bjsVelocityAverage[axisIdx] /= bjsNumFaces[axisIdx]; | |
531 | |||
532 | ✗ | velocityGradients_[elementIdx][velCompIdx][axisIdx] | |
533 | ✗ | = (ccVelocity(neighborIdx, velCompIdx) - bjsVelocityAverage[axisIdx]) | |
534 | ✗ | / (cellCenter(neighborIdx)[axisIdx] - normalNormCoordinate[axisIdx]); | |
535 | } | ||
536 | } | ||
537 | } | ||
538 | 1127 | } | |
539 | |||
540 | 1127 | void calculateMaxMinVelocities_() | |
541 | { | ||
542 | using std::abs; | ||
543 |
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1127 | if (isFlatWallBounded()) |
544 | { | ||
545 | // If the parameter isFlatWallBounded is set to true, | ||
546 | // the maximum/minimum velocities are calculated along a profile perpendicular to the corresponding wall face. | ||
547 | |||
548 | // re-initialize min and max values | ||
549 | 4950 | velocityMaximum_.assign(this->gridGeometry().elementMapper().size(), DimVector(1e-16)); | |
550 | 4950 | velocityMinimum_.assign(this->gridGeometry().elementMapper().size(), DimVector(std::numeric_limits<Scalar>::max())); | |
551 | |||
552 | // For each profile perpendicular to the channel wall, find the max and minimum velocities | ||
553 |
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427992 | for (const auto& element : elements(this->gridGeometry().gridView())) |
554 | { | ||
555 | 636048 | const unsigned int elementIdx = this->gridGeometry().elementMapper().index(element); | |
556 | 212016 | Scalar maxVelocity = 0.0; | |
557 | 212016 | const unsigned int wallElementIdx = wallElementIndex(elementIdx); | |
558 | |||
559 |
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636048 | for (unsigned int axisIdx = 0; axisIdx < dim; ++axisIdx) |
560 | { | ||
561 |
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2544192 | if (abs(ccVelocity(elementIdx, axisIdx)) > abs(velocityMaximum_[wallElementIdx][axisIdx])) |
562 | 769398 | velocityMaximum_[wallElementIdx][axisIdx] = ccVelocity(elementIdx, axisIdx); | |
563 | |||
564 |
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2544192 | if (abs(ccVelocity(elementIdx, axisIdx)) < abs(velocityMinimum_[wallElementIdx][axisIdx])) |
565 | 324702 | velocityMinimum_[wallElementIdx][axisIdx] = ccVelocity(elementIdx, axisIdx); | |
566 | |||
567 | // Set the flow direction axis as the direction of the max velocity | ||
568 |
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1908378 | if ((hasParam("RANS.FlowDirectionAxis") != 1) && (maxVelocity) < abs(ccVelocity(elementIdx, axisIdx))) |
569 | { | ||
570 | 423564 | maxVelocity = abs(ccVelocity(elementIdx, axisIdx)); | |
571 | 423564 | flowDirectionAxis_[elementIdx] = axisIdx; | |
572 | } | ||
573 | } | ||
574 | } | ||
575 | } | ||
576 | else | ||
577 | { | ||
578 | // If the parameter isFlatWallBounded is set to false, or not set, | ||
579 | // the maximum/minimum velocities are calculated as a global max/min throughout the domain. | ||
580 | |||
581 | 137 | DimVector maxVelocity(0.0); | |
582 | 137 | DimVector minVelocity(std::numeric_limits<Scalar>::max()); | |
583 | // Find the max and minimum velocities in the full domain | ||
584 |
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68315 | for (const auto& element : elements(this->gridGeometry().gridView())) |
585 | { | ||
586 | 67904 | const unsigned int elementIdx = this->gridGeometry().elementMapper().index(element); | |
587 | |||
588 |
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101856 | for (unsigned int axisIdx = 0; axisIdx < dim; ++axisIdx) |
589 | { | ||
590 |
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339520 | if (abs(ccVelocity(elementIdx, axisIdx)) > abs(maxVelocity[axisIdx])) |
591 | 10629 | maxVelocity[axisIdx] = ccVelocity(elementIdx, axisIdx); | |
592 | |||
593 |
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339520 | if (abs(ccVelocity(elementIdx, axisIdx)) < abs(minVelocity[axisIdx])) |
594 | 8220 | minVelocity[axisIdx] = ccVelocity(elementIdx, axisIdx); | |
595 | } | ||
596 | } | ||
597 | 548 | velocityMaximum_.assign(this->gridGeometry().elementMapper().size(), maxVelocity); | |
598 | 548 | velocityMinimum_.assign(this->gridGeometry().elementMapper().size(), minVelocity); | |
599 | } | ||
600 | 1127 | } | |
601 | |||
602 | 1127 | void calculateStressTensor_() | |
603 | { | ||
604 |
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495317 | for (const auto& element : elements(this->gridGeometry().gridView())) |
605 | { | ||
606 | 737904 | unsigned int elementIdx = this->gridGeometry().elementMapper().index(element); | |
607 | 245968 | Dune::FieldMatrix<Scalar, GridView::dimension, GridView::dimension> stressTensor(0.0); | |
608 |
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737904 | for (unsigned int j = 0; j < dim; ++j) |
609 | { | ||
610 |
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1475808 | for (unsigned int i = 0; i < dim; ++i) |
611 | { | ||
612 | 2951616 | stressTensor[j][i] = 0.5 * velocityGradient(elementIdx, j, i) | |
613 | 1967744 | + 0.5 * velocityGradient(elementIdx, i, j); | |
614 | } | ||
615 | } | ||
616 | 245968 | stressTensorScalarProduct_[elementIdx] = 0.0; | |
617 |
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737904 | for (unsigned int j = 0; j < dim; ++j) |
618 | { | ||
619 |
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1475808 | for (unsigned int i = 0; i < dim; ++i) |
620 | { | ||
621 | 4919360 | stressTensorScalarProduct_[elementIdx] += stressTensor[j][i] * stressTensor[j][i]; | |
622 | } | ||
623 | } | ||
624 | } | ||
625 | 1127 | } | |
626 | |||
627 | 1127 | void calculateVorticityTensor_() | |
628 | { | ||
629 |
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495317 | for (const auto& element : elements(this->gridGeometry().gridView())) |
630 | { | ||
631 | 737904 | unsigned int elementIdx = this->gridGeometry().elementMapper().index(element); | |
632 | 245968 | Dune::FieldMatrix<Scalar, GridView::dimension, GridView::dimension> vorticityTensor(0.0); | |
633 |
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737904 | for (unsigned int j = 0; j < dim; ++j) |
634 | { | ||
635 |
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1475808 | for (unsigned int i = 0; i < dim; ++i) |
636 | { | ||
637 | 2951616 | vorticityTensor[j][i] = 0.5 * velocityGradient(elementIdx, j, i) | |
638 | 1967744 | - 0.5 * velocityGradient(elementIdx, i, j); | |
639 | } | ||
640 | } | ||
641 | 245968 | vorticityTensorScalarProduct_[elementIdx] = 0.0; | |
642 |
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737904 | for (unsigned int j = 0; j < dim; ++j) |
643 | { | ||
644 |
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1475808 | for (unsigned int i = 0; i < dim; ++i) |
645 | { | ||
646 | 4919360 | vorticityTensorScalarProduct_[elementIdx] += vorticityTensor[j][i] * vorticityTensor[j][i]; | |
647 | } | ||
648 | } | ||
649 | } | ||
650 | 1127 | } | |
651 | |||
652 | template<class SolutionVector> | ||
653 | 1127 | void storeViscosities_(const SolutionVector& curSol) | |
654 | { | ||
655 | // calculate or call all secondary variables | ||
656 |
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2254 | auto fvGeometry = localView(this->gridGeometry()); |
657 |
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495357 | for (const auto& element : elements(this->gridGeometry().gridView())) |
658 | { | ||
659 | 737904 | unsigned int elementIdx = this->gridGeometry().elementMapper().index(element); | |
660 |
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245968 | fvGeometry.bindElement(element); |
661 |
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981872 | for (auto&& scv : scvs(fvGeometry)) |
662 | { | ||
663 | 245968 | const int dofIdx = scv.dofIndex(); | |
664 | // construct a privars object from the cell center solution vector | ||
665 | 491936 | const auto& cellCenterPriVars = curSol[GridGeometry::cellCenterIdx()][dofIdx]; | |
666 | 245968 | PrimaryVariables priVars = makePriVarsFromCellCenterPriVars<PrimaryVariables>(cellCenterPriVars); | |
667 |
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491936 | auto elemSol = elementSolution<typename GridGeometry::LocalView>(std::move(priVars)); |
668 | |||
669 | 245968 | VolumeVariables volVars; | |
670 |
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245968 | volVars.update(elemSol, asImp_(), element, scv); |
671 |
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491936 | storedDensity_[elementIdx] = volVars.density(); |
672 |
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737904 | storedViscosity_[elementIdx] = volVars.viscosity(); |
673 | } | ||
674 | } | ||
675 | 1127 | } | |
676 | |||
677 | const int fixedFlowDirectionAxis_ = getParam<int>("RANS.FlowDirectionAxis", 0); | ||
678 | const int fixedWallNormalAxis_ = getParam<int>("RANS.WallNormalAxis", 1); | ||
679 | |||
680 | std::vector<unsigned int> wallNormalAxis_; | ||
681 | std::vector<unsigned int> flowDirectionAxis_; | ||
682 | std::vector<Scalar> wallDistance_; | ||
683 | std::vector<unsigned int> wallElementIdx_; | ||
684 | std::vector<std::array<std::array<unsigned int, 2>, dim>> neighborIdx_; | ||
685 | |||
686 | std::vector<DimVector> velocity_; | ||
687 | std::vector<DimVector> velocityMaximum_; | ||
688 | std::vector<DimVector> velocityMinimum_; | ||
689 | std::vector<DimMatrix> velocityGradients_; | ||
690 | |||
691 | std::vector<Scalar> stressTensorScalarProduct_; | ||
692 | std::vector<Scalar> vorticityTensorScalarProduct_; | ||
693 | |||
694 | std::vector<Scalar> storedDensity_; | ||
695 | std::vector<Scalar> storedViscosity_; | ||
696 | |||
697 | //! Returns the implementation of the problem (i.e. static polymorphism) | ||
698 | Implementation &asImp_() | ||
699 | { return *static_cast<Implementation *>(this); } | ||
700 | |||
701 | //! \copydoc asImp_() | ||
702 | const Implementation &asImp_() const | ||
703 | { return *static_cast<const Implementation *>(this); } | ||
704 | }; | ||
705 | |||
706 | } // end namespace Dumux | ||
707 | |||
708 | #endif | ||
709 |