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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 BoundaryTests | ||
| 10 | * \brief A simple Navier-Stokes test problem for the staggered grid (Navier-)Stokes model. | ||
| 11 | */ | ||
| 12 | |||
| 13 | #ifndef DUMUX_STOKES_SUBPROBLEM_HH | ||
| 14 | #define DUMUX_STOKES_SUBPROBLEM_HH | ||
| 15 | |||
| 16 | #include <dumux/common/properties.hh> | ||
| 17 | #include <dumux/common/parameters.hh> | ||
| 18 | #include <dumux/common/numeqvector.hh> | ||
| 19 | #include <dumux/common/timeloop.hh> | ||
| 20 | #include <dumux/freeflow/navierstokes/boundarytypes.hh> | ||
| 21 | #include <dumux/freeflow/navierstokes/staggered/problem.hh> | ||
| 22 | |||
| 23 | namespace Dumux { | ||
| 24 | |||
| 25 | /*! | ||
| 26 | * \ingroup BoundaryTests | ||
| 27 | * \brief Test problem for the one-phase (Navier-) Stokes problem. | ||
| 28 | * | ||
| 29 | * Horizontal flow from left to right with a parabolic velocity profile. | ||
| 30 | */ | ||
| 31 | template <class TypeTag> | ||
| 32 | class StokesSubProblem : public NavierStokesStaggeredProblem<TypeTag> | ||
| 33 | { | ||
| 34 | using ParentType = NavierStokesStaggeredProblem<TypeTag>; | ||
| 35 | using GridView = typename GetPropType<TypeTag, Properties::GridGeometry>::GridView; | ||
| 36 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 37 | using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices; | ||
| 38 | using BoundaryTypes = Dumux::NavierStokesBoundaryTypes<GetPropType<TypeTag, Properties::ModelTraits>::numEq()>; | ||
| 39 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
| 40 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
| 41 | using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace; | ||
| 42 | using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>; | ||
| 43 | using NumEqVector = Dumux::NumEqVector<PrimaryVariables>; | ||
| 44 | |||
| 45 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 46 | using GlobalPosition = typename Element::Geometry::GlobalCoordinate; | ||
| 47 | |||
| 48 | using CouplingManager = GetPropType<TypeTag, Properties::CouplingManager>; | ||
| 49 | using TimeLoopPtr = std::shared_ptr<TimeLoop<Scalar>>; | ||
| 50 | |||
| 51 | public: | ||
| 52 | 3 | StokesSubProblem(std::shared_ptr<const GridGeometry> gridGeometry, std::shared_ptr<CouplingManager> couplingManager) | |
| 53 |
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9 | : ParentType(gridGeometry, "Stokes"), eps_(1e-6), couplingManager_(couplingManager) |
| 54 | { | ||
| 55 |
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6 | problemName_ = getParam<std::string>("Vtk.OutputName") + "_" + getParamFromGroup<std::string>(this->paramGroup(), "Problem.Name"); |
| 56 | |||
| 57 | // determine whether to simulate a vertical or horizontal flow configuration | ||
| 58 | 3 | verticalFlow_ = problemName_.find("vertical") != std::string::npos; | |
| 59 | 3 | } | |
| 60 | |||
| 61 | /*! | ||
| 62 | * \name Problem parameters | ||
| 63 | */ | ||
| 64 | // \{ | ||
| 65 | |||
| 66 | /*! | ||
| 67 | * \brief The problem name. | ||
| 68 | */ | ||
| 69 | const std::string& name() const | ||
| 70 | { | ||
| 71 |
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3 | return problemName_; |
| 72 | } | ||
| 73 | |||
| 74 | /*! | ||
| 75 | * \brief Returns the sources within the domain. | ||
| 76 | * | ||
| 77 | * \param globalPos The global position | ||
| 78 | */ | ||
| 79 | ✗ | NumEqVector sourceAtPos(const GlobalPosition &globalPos) const | |
| 80 | 3870240 | { return NumEqVector(0.0); } | |
| 81 | // \} | ||
| 82 | |||
| 83 | /*! | ||
| 84 | * \name Boundary conditions | ||
| 85 | */ | ||
| 86 | // \{ | ||
| 87 | |||
| 88 | /*! | ||
| 89 | * \brief Specifies which kind of boundary condition should be | ||
| 90 | * used for which equation on a given boundary segment. | ||
| 91 | * | ||
| 92 | * \param element The finite element | ||
| 93 | * \param scvf The sub control volume face | ||
| 94 | */ | ||
| 95 | 939712 | BoundaryTypes boundaryTypes(const Element& element, | |
| 96 | const SubControlVolumeFace& scvf) const | ||
| 97 | { | ||
| 98 | 939712 | BoundaryTypes values; | |
| 99 | |||
| 100 |
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939712 | const auto& globalPos = scvf.dofPosition(); |
| 101 | |||
| 102 |
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939712 | if (verticalFlow_) |
| 103 | { | ||
| 104 | // inflow | ||
| 105 | 1230624 | if(onUpperBoundary_(globalPos)) | |
| 106 | { | ||
| 107 | 140212 | values.setDirichlet(Indices::velocityXIdx); | |
| 108 | 140212 | values.setDirichlet(Indices::velocityYIdx); | |
| 109 | 140212 | values.setDirichlet(Indices::conti0EqIdx + 1); | |
| 110 | } | ||
| 111 | |||
| 112 | // left/right wall | ||
| 113 | 2177328 | if (onRightBoundary_(globalPos) || (onLeftBoundary_(globalPos))) | |
| 114 | { | ||
| 115 | 283920 | values.setDirichlet(Indices::velocityXIdx); | |
| 116 | 283920 | values.setDirichlet(Indices::velocityYIdx); | |
| 117 | 283920 | values.setNeumann(Indices::conti0EqIdx); | |
| 118 | 283920 | values.setNeumann(Indices::conti0EqIdx + 1); | |
| 119 | } | ||
| 120 | |||
| 121 | } | ||
| 122 | else // horizontal flow | ||
| 123 | { | ||
| 124 | 648800 | if (onLeftBoundary_(globalPos)) | |
| 125 | { | ||
| 126 | 61840 | values.setDirichlet(Indices::conti0EqIdx + 1); | |
| 127 | 61840 | values.setDirichlet(Indices::velocityXIdx); | |
| 128 | 61840 | values.setDirichlet(Indices::velocityYIdx); | |
| 129 | } | ||
| 130 | 525120 | else if (onRightBoundary_(globalPos)) | |
| 131 | { | ||
| 132 | 92320 | values.setDirichlet(Indices::pressureIdx); | |
| 133 | 92320 | values.setOutflow(Indices::conti0EqIdx + 1); | |
| 134 | } | ||
| 135 | else | ||
| 136 | { | ||
| 137 | 170240 | values.setDirichlet(Indices::velocityXIdx); | |
| 138 | 170240 | values.setDirichlet(Indices::velocityYIdx); | |
| 139 | 170240 | values.setNeumann(Indices::conti0EqIdx); | |
| 140 | 170240 | values.setNeumann(Indices::conti0EqIdx + 1); | |
| 141 | } | ||
| 142 | } | ||
| 143 | |||
| 144 |
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939712 | if(couplingManager().isCoupledEntity(CouplingManager::stokesIdx, scvf)) |
| 145 | { | ||
| 146 | 299940 | values.setCouplingNeumann(Indices::conti0EqIdx); | |
| 147 | 299940 | values.setCouplingNeumann(Indices::conti0EqIdx + 1); | |
| 148 | 299940 | values.setCouplingNeumann(Indices::momentumYBalanceIdx); | |
| 149 | 299940 | values.setBeaversJoseph(Indices::momentumXBalanceIdx); | |
| 150 | } | ||
| 151 | |||
| 152 | 939712 | return values; | |
| 153 | } | ||
| 154 | |||
| 155 | /*! | ||
| 156 | * \brief Evaluates the boundary conditions for a Dirichlet control volume. | ||
| 157 | */ | ||
| 158 | 315564 | PrimaryVariables dirichletAtPos(const GlobalPosition& globalPos) const | |
| 159 | { | ||
| 160 | 315564 | PrimaryVariables values(0.0); | |
| 161 | 315564 | values = initialAtPos(globalPos); | |
| 162 | |||
| 163 |
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315564 | if (verticalFlow_) |
| 164 | { | ||
| 165 | // Check if this a pure diffusion problem. | ||
| 166 |
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205166 | static const bool isDiffusionProblem = problemName_.find("diffusion") != std::string::npos; |
| 167 | |||
| 168 | 205164 | Scalar topMoleFraction = 1e-3; | |
| 169 | |||
| 170 |
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205164 | if (isDiffusionProblem) |
| 171 | { | ||
| 172 | // For the diffusion problem, change the top mole fraction after some time | ||
| 173 | // in order to revert the concentration gradient. | ||
| 174 | 40196 | if (time() >= 1e10) | |
| 175 | 6706 | topMoleFraction = 0.0; | |
| 176 | } | ||
| 177 | else // advection problem | ||
| 178 | { | ||
| 179 | // reverse the flow direction after some time for the advection problem | ||
| 180 | 370132 | if (time() >= 3e5) | |
| 181 | 196176 | values[Indices::velocityYIdx] *= -1.0; | |
| 182 | } | ||
| 183 | |||
| 184 |
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1025820 | if(globalPos[1] > this->gridGeometry().bBoxMax()[1] - eps_) |
| 185 | 139480 | values[Indices::conti0EqIdx + 1] = topMoleFraction; | |
| 186 | } | ||
| 187 | else // horizontal flow | ||
| 188 | { | ||
| 189 |
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110400 | static const Scalar inletMoleFraction = getParamFromGroup<Scalar>(this->paramGroup(), "Problem.InletMoleFraction"); |
| 190 |
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552000 | if(globalPos[0] < this->gridGeometry().bBoxMin()[0] + eps_) |
| 191 | 101520 | values[Indices::conti0EqIdx + 1] = inletMoleFraction; | |
| 192 | } | ||
| 193 | |||
| 194 | |||
| 195 | 315564 | return values; | |
| 196 | } | ||
| 197 | |||
| 198 | /*! | ||
| 199 | * \brief Evaluates the boundary conditions for a Neumann control volume. | ||
| 200 | * | ||
| 201 | * \param element The element for which the Neumann boundary condition is set | ||
| 202 | * \param fvGeometry The fvGeometry | ||
| 203 | * \param elemVolVars The element volume variables | ||
| 204 | * \param elemFaceVars The element face variables | ||
| 205 | * \param scvf The boundary sub control volume face | ||
| 206 | */ | ||
| 207 | template<class ElementVolumeVariables, class ElementFaceVariables> | ||
| 208 | 141056 | NumEqVector neumann(const Element& element, | |
| 209 | const FVElementGeometry& fvGeometry, | ||
| 210 | const ElementVolumeVariables& elemVolVars, | ||
| 211 | const ElementFaceVariables& elemFaceVars, | ||
| 212 | const SubControlVolumeFace& scvf) const | ||
| 213 | { | ||
| 214 | 141056 | NumEqVector values(0.0); | |
| 215 | |||
| 216 |
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141056 | if(couplingManager().isCoupledEntity(CouplingManager::stokesIdx, scvf)) |
| 217 | { | ||
| 218 | 83160 | values[Indices::momentumYBalanceIdx] = couplingManager().couplingData().momentumCouplingCondition(element, fvGeometry, elemVolVars, elemFaceVars, scvf); | |
| 219 | |||
| 220 | 83160 | const auto tmp = couplingManager().couplingData().massCouplingCondition(element, fvGeometry, elemVolVars, elemFaceVars, scvf); | |
| 221 | 166320 | values[Indices::conti0EqIdx] = tmp[0]; | |
| 222 | 249480 | values[Indices::conti0EqIdx + 1] = tmp[1]; | |
| 223 | } | ||
| 224 | 141056 | return values; | |
| 225 | } | ||
| 226 | |||
| 227 | // \} | ||
| 228 | |||
| 229 | //! Get the coupling manager | ||
| 230 | const CouplingManager& couplingManager() const | ||
| 231 | 2327856 | { return *couplingManager_; } | |
| 232 | |||
| 233 | /*! | ||
| 234 | * \name Volume terms | ||
| 235 | */ | ||
| 236 | // \{ | ||
| 237 | |||
| 238 | /*! | ||
| 239 | * \brief Evaluates the initial value for a control volume. | ||
| 240 | * | ||
| 241 | * \param globalPos The global position | ||
| 242 | */ | ||
| 243 | 3415900 | PrimaryVariables initialAtPos(const GlobalPosition& globalPos) const | |
| 244 | { | ||
| 245 | 3415900 | PrimaryVariables values(0.0); | |
| 246 |
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3415900 | values[Indices::pressureIdx] = 1e5; |
| 247 | |||
| 248 |
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3415900 | static const Scalar vMax = getParamFromGroup<Scalar>(this->paramGroup(), "Problem.Velocity", 0.0); |
| 249 | |||
| 250 | 3415900 | auto parabolicProfile = [&](const GlobalPosition& globalPos, int coord) | |
| 251 | { | ||
| 252 | 10247700 | return vMax * (globalPos[coord] - this->gridGeometry().bBoxMin()[coord]) | |
| 253 | 13663600 | * (this->gridGeometry().bBoxMax()[coord] - globalPos[coord]) | |
| 254 | 20495400 | / (0.25 * (this->gridGeometry().bBoxMax()[coord] - this->gridGeometry().bBoxMin()[coord]) | |
| 255 | 20495400 | * (this->gridGeometry().bBoxMax()[coord] - this->gridGeometry().bBoxMin()[coord])); | |
| 256 | }; | ||
| 257 | |||
| 258 |
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3415900 | if (verticalFlow_) |
| 259 | 7054980 | values[Indices::velocityYIdx] = parabolicProfile(globalPos, 0); | |
| 260 | else // horizontal flow | ||
| 261 | 3192720 | values[Indices::velocityXIdx] = parabolicProfile(globalPos, 1); | |
| 262 | |||
| 263 | 3415900 | return values; | |
| 264 | } | ||
| 265 | |||
| 266 | /*! | ||
| 267 | * \brief Returns the intrinsic permeability of required as input parameter | ||
| 268 | * for the Beavers-Joseph-Saffman boundary condition. | ||
| 269 | */ | ||
| 270 | Scalar permeability(const Element& element, const SubControlVolumeFace& scvf) const | ||
| 271 | { | ||
| 272 | ✗ | return couplingManager().couplingData().darcyPermeability(element, scvf); | |
| 273 | } | ||
| 274 | |||
| 275 | /*! | ||
| 276 | * \brief Returns the alpha value required as input parameter for the | ||
| 277 | * Beavers-Joseph-Saffman boundary condition. | ||
| 278 | */ | ||
| 279 | ✗ | Scalar alphaBJ(const SubControlVolumeFace& scvf) const | |
| 280 | { | ||
| 281 | ✗ | return 1.0; | |
| 282 | } | ||
| 283 | |||
| 284 | /*! | ||
| 285 | * \brief Sets the time loop pointer. | ||
| 286 | */ | ||
| 287 | void setTimeLoop(TimeLoopPtr timeLoop) | ||
| 288 |
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3 | { timeLoop_ = timeLoop; } |
| 289 | |||
| 290 | /*! | ||
| 291 | * \brief Returns the time. | ||
| 292 | */ | ||
| 293 | Scalar time() const | ||
| 294 |
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615492 | { return timeLoop_->time(); } |
| 295 | |||
| 296 | // \} | ||
| 297 | |||
| 298 | private: | ||
| 299 | bool onLeftBoundary_(const GlobalPosition &globalPos) const | ||
| 300 |
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3988760 | { return globalPos[0] < this->gridGeometry().bBoxMin()[0] + eps_; } |
| 301 | |||
| 302 | bool onRightBoundary_(const GlobalPosition &globalPos) const | ||
| 303 |
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4389360 | { return globalPos[0] > this->gridGeometry().bBoxMax()[0] - eps_; } |
| 304 | |||
| 305 | bool onLowerBoundary_(const GlobalPosition &globalPos) const | ||
| 306 | { return globalPos[1] < this->gridGeometry().bBoxMin()[1] + eps_; } | ||
| 307 | |||
| 308 | bool onUpperBoundary_(const GlobalPosition &globalPos) const | ||
| 309 |
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3076560 | { return globalPos[1] > this->gridGeometry().bBoxMax()[1] - eps_; } |
| 310 | |||
| 311 | Scalar eps_; | ||
| 312 | bool verticalFlow_; | ||
| 313 | std::string problemName_; | ||
| 314 | std::shared_ptr<CouplingManager> couplingManager_; | ||
| 315 | TimeLoopPtr timeLoop_; | ||
| 316 | }; | ||
| 317 | } // end namespace Dumux | ||
| 318 | |||
| 319 | #endif | ||
| 320 |