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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 NavierStokesModel | ||
| 10 | * \copydoc Dumux::NavierStokesResidualImpl | ||
| 11 | */ | ||
| 12 | #ifndef DUMUX_STAGGERED_NAVIERSTOKES_LOCAL_RESIDUAL_HH | ||
| 13 | #define DUMUX_STAGGERED_NAVIERSTOKES_LOCAL_RESIDUAL_HH | ||
| 14 | |||
| 15 | #include <type_traits> | ||
| 16 | |||
| 17 | #include <dune/common/hybridutilities.hh> | ||
| 18 | |||
| 19 | #include <dumux/common/properties.hh> | ||
| 20 | #include <dumux/discretization/method.hh> | ||
| 21 | #include <dumux/discretization/extrusion.hh> | ||
| 22 | #include <dumux/assembly/staggeredlocalresidual.hh> | ||
| 23 | #include <dumux/freeflow/nonisothermal/localresidual.hh> | ||
| 24 | |||
| 25 | namespace Dumux { | ||
| 26 | |||
| 27 | namespace Impl { | ||
| 28 | template<class T> | ||
| 29 | static constexpr bool isRotationalExtrusion = false; | ||
| 30 | |||
| 31 | template<int radialAxis> | ||
| 32 | static constexpr bool isRotationalExtrusion<RotationalExtrusion<radialAxis>> = true; | ||
| 33 | } // end namespace Impl | ||
| 34 | |||
| 35 | /*! | ||
| 36 | * \ingroup NavierStokesModel | ||
| 37 | * \brief Element-wise calculation of the Navier-Stokes residual for models using the staggered discretization | ||
| 38 | */ | ||
| 39 | |||
| 40 | // forward declaration | ||
| 41 | template<class TypeTag, class DiscretizationMethod> | ||
| 42 | class NavierStokesResidualImpl; | ||
| 43 | |||
| 44 | template<class TypeTag> | ||
| 45 | class NavierStokesResidualImpl<TypeTag, DiscretizationMethods::Staggered> | ||
| 46 | : public StaggeredLocalResidual<TypeTag> | ||
| 47 | { | ||
| 48 | using ParentType = StaggeredLocalResidual<TypeTag>; | ||
| 49 | friend class StaggeredLocalResidual<TypeTag>; | ||
| 50 | |||
| 51 | using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; | ||
| 52 | |||
| 53 | using GridVolumeVariables = typename GridVariables::GridVolumeVariables; | ||
| 54 | using ElementVolumeVariables = typename GridVolumeVariables::LocalView; | ||
| 55 | using VolumeVariables = typename GridVolumeVariables::VolumeVariables; | ||
| 56 | |||
| 57 | using GridFluxVariablesCache = typename GridVariables::GridFluxVariablesCache; | ||
| 58 | using ElementFluxVariablesCache = typename GridFluxVariablesCache::LocalView; | ||
| 59 | |||
| 60 | using GridFaceVariables = typename GridVariables::GridFaceVariables; | ||
| 61 | using ElementFaceVariables = typename GridFaceVariables::LocalView; | ||
| 62 | |||
| 63 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 64 | using Implementation = GetPropType<TypeTag, Properties::LocalResidual>; | ||
| 65 | using Problem = GetPropType<TypeTag, Properties::Problem>; | ||
| 66 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
| 67 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
| 68 | using GridView = typename GridGeometry::GridView; | ||
| 69 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 70 | using SubControlVolume = typename FVElementGeometry::SubControlVolume; | ||
| 71 | using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace; | ||
| 72 | using Extrusion = Extrusion_t<GridGeometry>; | ||
| 73 | using ElementBoundaryTypes = GetPropType<TypeTag, Properties::ElementBoundaryTypes>; | ||
| 74 | using CellCenterPrimaryVariables = GetPropType<TypeTag, Properties::CellCenterPrimaryVariables>; | ||
| 75 | using FacePrimaryVariables = GetPropType<TypeTag, Properties::FacePrimaryVariables>; | ||
| 76 | using FluxVariables = GetPropType<TypeTag, Properties::FluxVariables>; | ||
| 77 | using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices; | ||
| 78 | |||
| 79 | static constexpr bool normalizePressure = getPropValue<TypeTag, Properties::NormalizePressure>(); | ||
| 80 | |||
| 81 | using CellCenterResidual = CellCenterPrimaryVariables; | ||
| 82 | using FaceResidual = FacePrimaryVariables; | ||
| 83 | |||
| 84 | using ModelTraits = GetPropType<TypeTag, Properties::ModelTraits>; | ||
| 85 | |||
| 86 | public: | ||
| 87 | using EnergyLocalResidual = FreeFlowEnergyLocalResidual<GridGeometry, FluxVariables, ModelTraits::enableEnergyBalance(), (ModelTraits::numFluidComponents() > 1)>; | ||
| 88 | |||
| 89 | // account for the offset of the cell center privars within the PrimaryVariables container | ||
| 90 | static constexpr auto cellCenterOffset = ModelTraits::numEq() - CellCenterPrimaryVariables::dimension; | ||
| 91 | static_assert(cellCenterOffset == ModelTraits::dim(), "cellCenterOffset must equal dim for staggered NavierStokes"); | ||
| 92 | |||
| 93 | //! Use the parent type's constructor | ||
| 94 |
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2723772 | using ParentType::ParentType; |
| 95 | |||
| 96 | //! Evaluate fluxes entering or leaving the cell center control volume. | ||
| 97 | 166059724 | CellCenterPrimaryVariables computeFluxForCellCenter(const Problem& problem, | |
| 98 | const Element &element, | ||
| 99 | const FVElementGeometry& fvGeometry, | ||
| 100 | const ElementVolumeVariables& elemVolVars, | ||
| 101 | const ElementFaceVariables& elemFaceVars, | ||
| 102 | const SubControlVolumeFace &scvf, | ||
| 103 | const ElementFluxVariablesCache& elemFluxVarsCache) const | ||
| 104 | { | ||
| 105 | FluxVariables fluxVars; | ||
| 106 | 165772170 | CellCenterPrimaryVariables flux = fluxVars.computeMassFlux(problem, element, fvGeometry, elemVolVars, | |
| 107 | 166059724 | elemFaceVars, scvf, elemFluxVarsCache[scvf]); | |
| 108 | |||
| 109 | 62256998 | EnergyLocalResidual::heatFlux(flux, problem, element, fvGeometry, elemVolVars, elemFaceVars, scvf); | |
| 110 | |||
| 111 | 73621866 | return flux; | |
| 112 | } | ||
| 113 | |||
| 114 | //! Evaluate the source term for the cell center control volume. | ||
| 115 | 33822444 | CellCenterPrimaryVariables computeSourceForCellCenter(const Problem& problem, | |
| 116 | const Element &element, | ||
| 117 | const FVElementGeometry& fvGeometry, | ||
| 118 | const ElementVolumeVariables& elemVolVars, | ||
| 119 | const ElementFaceVariables& elemFaceVars, | ||
| 120 | const SubControlVolume &scv) const | ||
| 121 | { | ||
| 122 | 41655204 | CellCenterPrimaryVariables result(0.0); | |
| 123 | |||
| 124 | // get the values from the problem | ||
| 125 | 41655204 | const auto sourceValues = problem.source(element, fvGeometry, elemVolVars, elemFaceVars, scv); | |
| 126 | |||
| 127 | // copy the respective cell center related values to the result | ||
| 128 |
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174073596 | for (int i = 0; i < result.size(); ++i) |
| 129 | 136170960 | result[i] = sourceValues[i + cellCenterOffset]; | |
| 130 | |||
| 131 | 3747936 | return result; | |
| 132 | } | ||
| 133 | |||
| 134 | |||
| 135 | //! Evaluate the storage term for the cell center control volume. | ||
| 136 | 23879244 | CellCenterPrimaryVariables computeStorageForCellCenter(const Problem& problem, | |
| 137 | const SubControlVolume& scv, | ||
| 138 | const VolumeVariables& volVars) const | ||
| 139 | { | ||
| 140 | 2535156 | CellCenterPrimaryVariables storage; | |
| 141 | 23879244 | storage[Indices::conti0EqIdx - ModelTraits::dim()] = volVars.density(); | |
| 142 | |||
| 143 | 9009320 | EnergyLocalResidual::fluidPhaseStorage(storage, volVars); | |
| 144 | |||
| 145 | return storage; | ||
| 146 | } | ||
| 147 | |||
| 148 | //! Evaluate the storage term for the face control volume. | ||
| 149 | 273423496 | FacePrimaryVariables computeStorageForFace(const Problem& problem, | |
| 150 | const SubControlVolumeFace& scvf, | ||
| 151 | const VolumeVariables& volVars, | ||
| 152 | const ElementFaceVariables& elemFaceVars) const | ||
| 153 | { | ||
| 154 | 136711748 | FacePrimaryVariables storage(0.0); | |
| 155 | 136711748 | const Scalar velocity = elemFaceVars[scvf].velocitySelf(); | |
| 156 | 136711748 | storage[0] = volVars.density() * velocity; | |
| 157 | return storage; | ||
| 158 | } | ||
| 159 | |||
| 160 | //! Evaluate the source term for the face control volume. | ||
| 161 | 151443068 | FacePrimaryVariables computeSourceForFace(const Problem& problem, | |
| 162 | const Element& element, | ||
| 163 | const FVElementGeometry& fvGeometry, | ||
| 164 | const SubControlVolumeFace& scvf, | ||
| 165 | const ElementVolumeVariables& elemVolVars, | ||
| 166 | const ElementFaceVariables& elemFaceVars) const | ||
| 167 | { | ||
| 168 | 151443068 | FacePrimaryVariables source(0.0); | |
| 169 | 151443068 | const auto& insideVolVars = elemVolVars[scvf.insideScvIdx()]; | |
| 170 | 151443068 | source += problem.gravity()[scvf.directionIndex()] * insideVolVars.density(); | |
| 171 | 151443068 | source += problem.source(element, fvGeometry, elemVolVars, elemFaceVars, scvf)[Indices::velocity(scvf.directionIndex())]; | |
| 172 | |||
| 173 | // Axisymmetric problems in 2D feature an extra source terms arising from the transformation to cylindrical coordinates. | ||
| 174 | // See Ferziger/Peric: Computational methods for fluid dynamics chapter 8. | ||
| 175 | // https://doi.org/10.1007/978-3-540-68228-8 (page 301) | ||
| 176 | if constexpr (ModelTraits::dim() == 2 && Impl::isRotationalExtrusion<Extrusion>) | ||
| 177 | { | ||
| 178 | if (scvf.directionIndex() == Extrusion::radialAxis) | ||
| 179 | { | ||
| 180 | // Velocity term | ||
| 181 | const auto r = scvf.center()[scvf.directionIndex()]; | ||
| 182 | source -= -2.0*insideVolVars.effectiveViscosity() * elemFaceVars[scvf].velocitySelf() / (r*r); | ||
| 183 | |||
| 184 | // Pressure term (needed because we incorporate pressure in terms of a surface integral). | ||
| 185 | // grad(p) becomes div(pI) + (p/r)*n_r in cylindrical coordinates. The second term | ||
| 186 | // is new with respect to Cartesian coordinates and handled below as a source term. | ||
| 187 | const Scalar pressure = | ||
| 188 | normalizePressure ? insideVolVars.pressure() - problem.initial(scvf)[Indices::pressureIdx] | ||
| 189 | : insideVolVars.pressure(); | ||
| 190 | |||
| 191 | source += pressure/r; | ||
| 192 | } | ||
| 193 | } | ||
| 194 | |||
| 195 | 151443068 | return source; | |
| 196 | } | ||
| 197 | |||
| 198 | //! Evaluate the momentum flux for the face control volume. | ||
| 199 | 142769378 | FacePrimaryVariables computeFluxForFace(const Problem& problem, | |
| 200 | const Element& element, | ||
| 201 | const SubControlVolumeFace& scvf, | ||
| 202 | const FVElementGeometry& fvGeometry, | ||
| 203 | const ElementVolumeVariables& elemVolVars, | ||
| 204 | const ElementFaceVariables& elemFaceVars, | ||
| 205 | const ElementFluxVariablesCache& elemFluxVarsCache) const | ||
| 206 | { | ||
| 207 | FluxVariables fluxVars; | ||
| 208 | 142769378 | return fluxVars.computeMomentumFlux(problem, element, scvf, fvGeometry, elemVolVars, elemFaceVars, elemFluxVarsCache.gridFluxVarsCache()); | |
| 209 | } | ||
| 210 | |||
| 211 | /*! | ||
| 212 | * \brief Evaluate boundary conditions for a cell center dof | ||
| 213 | */ | ||
| 214 | 9430866 | CellCenterResidual computeBoundaryFluxForCellCenter(const Problem& problem, | |
| 215 | const Element& element, | ||
| 216 | const FVElementGeometry& fvGeometry, | ||
| 217 | const SubControlVolumeFace& scvf, | ||
| 218 | const ElementVolumeVariables& elemVolVars, | ||
| 219 | const ElementFaceVariables& elemFaceVars, | ||
| 220 | const ElementBoundaryTypes& elemBcTypes, | ||
| 221 | const ElementFluxVariablesCache& elemFluxVarsCache) const | ||
| 222 | { | ||
| 223 |
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9430866 | CellCenterResidual result(0.0); |
| 224 | |||
| 225 |
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9430866 | if (scvf.boundary()) |
| 226 | { | ||
| 227 |
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9430866 | const auto bcTypes = problem.boundaryTypes(element, scvf); |
| 228 | |||
| 229 | // no fluxes occur over symmetry boundaries | ||
| 230 |
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9430866 | if (bcTypes.isSymmetry()) |
| 231 | 563720 | return result; | |
| 232 | |||
| 233 | // treat Dirichlet and outflow BCs | ||
| 234 |
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8867146 | result = computeFluxForCellCenter(problem, element, fvGeometry, elemVolVars, elemFaceVars, scvf, elemFluxVarsCache); |
| 235 | |||
| 236 | // treat Neumann BCs, i.e. overwrite certain fluxes by user-specified values | ||
| 237 | static constexpr auto numEqCellCenter = CellCenterResidual::dimension; | ||
| 238 |
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8867146 | if (bcTypes.hasNeumann()) |
| 239 | { | ||
| 240 | 942069 | const auto extrusionFactor = elemVolVars[scvf.insideScvIdx()].extrusionFactor(); | |
| 241 | 942069 | const auto neumannFluxes = problem.neumann(element, fvGeometry, elemVolVars, elemFaceVars, scvf); | |
| 242 | |||
| 243 |
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4161335 | for (int eqIdx = 0; eqIdx < numEqCellCenter; ++eqIdx) |
| 244 | { | ||
| 245 |
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3219266 | if (bcTypes.isNeumann(eqIdx + cellCenterOffset)) |
| 246 | 1405310 | result[eqIdx] = neumannFluxes[eqIdx + cellCenterOffset] * extrusionFactor * Extrusion::area(fvGeometry, scvf); | |
| 247 | } | ||
| 248 | } | ||
| 249 | |||
| 250 | // account for wall functions, if used | ||
| 251 | 8152526 | incorporateWallFunction_(result, problem, element, fvGeometry, scvf, elemVolVars, elemFaceVars); | |
| 252 | } | ||
| 253 | 1151026 | return result; | |
| 254 | } | ||
| 255 | |||
| 256 | /*! | ||
| 257 | * \brief Evaluate Dirichlet (fixed value) boundary conditions for a face dof | ||
| 258 | */ | ||
| 259 |
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151443068 | void evalDirichletBoundariesForFace(FaceResidual& residual, |
| 260 | const Problem& problem, | ||
| 261 | const Element& element, | ||
| 262 | const FVElementGeometry& fvGeometry, | ||
| 263 | const SubControlVolumeFace& scvf, | ||
| 264 | const ElementVolumeVariables& elemVolVars, | ||
| 265 | const ElementFaceVariables& elemFaceVars, | ||
| 266 | const ElementBoundaryTypes& elemBcTypes, | ||
| 267 | const ElementFluxVariablesCache& elemFluxVarsCache) const | ||
| 268 | { | ||
| 269 |
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151443068 | if (scvf.boundary()) |
| 270 | { | ||
| 271 | // handle the actual boundary conditions: | ||
| 272 |
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8673690 | const auto bcTypes = problem.boundaryTypes(element, scvf); |
| 273 | |||
| 274 |
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8673690 | if(bcTypes.isDirichlet(Indices::velocity(scvf.directionIndex()))) |
| 275 | { | ||
| 276 | // set a fixed value for the velocity for Dirichlet boundary conditions | ||
| 277 |
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5365316 | const Scalar velocity = elemFaceVars[scvf].velocitySelf(); |
| 278 |
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5371292 | const Scalar dirichletValue = problem.dirichlet(element, scvf)[Indices::velocity(scvf.directionIndex())]; |
| 279 | 5365316 | residual = velocity - dirichletValue; | |
| 280 | } | ||
| 281 |
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3308374 | else if(bcTypes.isSymmetry()) |
| 282 | { | ||
| 283 | // for symmetry boundary conditions, there is no flow across the boundary and | ||
| 284 | // we therefore treat it like a Dirichlet boundary conditions with zero velocity | ||
| 285 | 499408 | const Scalar velocity = elemFaceVars[scvf].velocitySelf(); | |
| 286 | 499408 | const Scalar fixedValue = 0.0; | |
| 287 | 499408 | residual = velocity - fixedValue; | |
| 288 | } | ||
| 289 | } | ||
| 290 | 151443068 | } | |
| 291 | |||
| 292 | /*! | ||
| 293 | * \brief Evaluate boundary fluxes for a face dof | ||
| 294 | */ | ||
| 295 | 8673690 | FaceResidual computeBoundaryFluxForFace(const Problem& problem, | |
| 296 | const Element& element, | ||
| 297 | const FVElementGeometry& fvGeometry, | ||
| 298 | const SubControlVolumeFace& scvf, | ||
| 299 | const ElementVolumeVariables& elemVolVars, | ||
| 300 | const ElementFaceVariables& elemFaceVars, | ||
| 301 | const ElementBoundaryTypes& elemBcTypes, | ||
| 302 | const ElementFluxVariablesCache& elemFluxVarsCache) const | ||
| 303 | { | ||
| 304 |
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8673690 | FaceResidual result(0.0); |
| 305 | |||
| 306 |
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8673690 | if (scvf.boundary()) |
| 307 | { | ||
| 308 | FluxVariables fluxVars; | ||
| 309 | |||
| 310 | // handle the actual boundary conditions: | ||
| 311 |
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8673690 | const auto bcTypes = problem.boundaryTypes(element, scvf); |
| 312 |
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8673690 | if (bcTypes.isNeumann(Indices::velocity(scvf.directionIndex()))) |
| 313 | { | ||
| 314 | // the source term has already been accounted for, here we | ||
| 315 | // add a given Neumann flux for the face on the boundary itself ... | ||
| 316 | 173386 | const auto extrusionFactor = elemVolVars[scvf.insideScvIdx()].extrusionFactor(); | |
| 317 | 173386 | result = problem.neumann(element, fvGeometry, elemVolVars, elemFaceVars, scvf)[Indices::velocity(scvf.directionIndex())] | |
| 318 | 173386 | * extrusionFactor * Extrusion::area(fvGeometry, scvf); | |
| 319 | |||
| 320 | // ... and treat the fluxes of the remaining (frontal and lateral) faces of the staggered control volume | ||
| 321 | 173386 | result += fluxVars.computeMomentumFlux(problem, element, scvf, fvGeometry, elemVolVars, elemFaceVars, elemFluxVarsCache.gridFluxVarsCache()); | |
| 322 | } | ||
| 323 |
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8500304 | else if(bcTypes.isDirichlet(Indices::pressureIdx)) |
| 324 | { | ||
| 325 | // we are at an "fixed pressure" boundary for which the resdiual of the momentum balance needs to be assembled | ||
| 326 | // as if it where inside the domain and not on the boundary (source term has already been acounted for) | ||
| 327 | 2635580 | result = fluxVars.computeMomentumFlux(problem, element, scvf, fvGeometry, elemVolVars, elemFaceVars, elemFluxVarsCache.gridFluxVarsCache()); | |
| 328 | |||
| 329 | // incorporate the inflow or outflow contribution | ||
| 330 | 2635580 | result += fluxVars.inflowOutflowBoundaryFlux(problem, scvf, fvGeometry, elemVolVars, elemFaceVars); | |
| 331 | } | ||
| 332 | } | ||
| 333 | 8673690 | return result; | |
| 334 | } | ||
| 335 | |||
| 336 | private: | ||
| 337 | |||
| 338 | //! do nothing if no turbulence model is used | ||
| 339 | template<class ...Args, bool turbulenceModel = ModelTraits::usesTurbulenceModel(), std::enable_if_t<!turbulenceModel, int> = 0> | ||
| 340 | void incorporateWallFunction_(Args&&... args) const | ||
| 341 | {} | ||
| 342 | |||
| 343 | //! if a turbulence model is used, ask the problem is a wall function shall be employed and get the flux accordingly | ||
| 344 | template<bool turbulenceModel = ModelTraits::usesTurbulenceModel(), std::enable_if_t<turbulenceModel, int> = 0> | ||
| 345 | 8152526 | void incorporateWallFunction_(CellCenterResidual& boundaryFlux, | |
| 346 | const Problem& problem, | ||
| 347 | const Element& element, | ||
| 348 | const FVElementGeometry& fvGeometry, | ||
| 349 | const SubControlVolumeFace& scvf, | ||
| 350 | const ElementVolumeVariables& elemVolVars, | ||
| 351 | const ElementFaceVariables& elemFaceVars) const | ||
| 352 | { | ||
| 353 | static constexpr auto numEqCellCenter = CellCenterResidual::dimension; | ||
| 354 | 8152526 | const auto extrusionFactor = elemVolVars[scvf.insideScvIdx()].extrusionFactor(); | |
| 355 | |||
| 356 | // account for wall functions, if used | ||
| 357 |
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16457300 | for(int eqIdx = 0; eqIdx < numEqCellCenter; ++eqIdx) |
| 358 | { | ||
| 359 | // use a wall function | ||
| 360 |
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8304774 | if(problem.useWallFunction(element, scvf, eqIdx + cellCenterOffset)) |
| 361 | { | ||
| 362 | 1205192 | boundaryFlux[eqIdx] = problem.wallFunction(element, fvGeometry, elemVolVars, elemFaceVars, scvf)[eqIdx] | |
| 363 | 662108 | * extrusionFactor * Extrusion::area(fvGeometry, scvf); | |
| 364 | } | ||
| 365 | } | ||
| 366 | 2306480 | } | |
| 367 | }; | ||
| 368 | |||
| 369 | } // end namespace Dumux | ||
| 370 | |||
| 371 | #endif | ||
| 372 |