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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 NavierStokesNCTests | ||
| 10 | * \brief Channel flow test for the multi-component staggered grid (Navier-)Stokes model. | ||
| 11 | */ | ||
| 12 | |||
| 13 | #ifndef DUMUX_CHANNEL_NC_TEST_PROBLEM_HH | ||
| 14 | #define DUMUX_CHANNEL_NC_TEST_PROBLEM_HH | ||
| 15 | |||
| 16 | #include <dumux/common/parameters.hh> | ||
| 17 | #include <dumux/common/properties.hh> | ||
| 18 | #include <dumux/common/timeloop.hh> | ||
| 19 | |||
| 20 | #include <dumux/freeflow/navierstokes/boundarytypes.hh> | ||
| 21 | |||
| 22 | #include <dumux/freeflow/navierstokes/momentum/fluxhelper.hh> | ||
| 23 | #include <dumux/freeflow/navierstokes/scalarfluxhelper.hh> | ||
| 24 | #include <dumux/freeflow/navierstokes/mass/1pnc/advectiveflux.hh> | ||
| 25 | |||
| 26 | namespace Dumux { | ||
| 27 | |||
| 28 | /*! | ||
| 29 | * \ingroup NavierStokesNCTests | ||
| 30 | * \brief Test problem for the one-phase (Navier-)Stokes model. | ||
| 31 | * | ||
| 32 | * Flow from left to right in a channel is considered. A parabolic velocity | ||
| 33 | * profile is set at the left boundary, while the pressure is set to | ||
| 34 | * a fixed value on the right boundary. The top and bottom boundaries | ||
| 35 | * represent solid walls with no-slip/no-flow conditions. | ||
| 36 | */ | ||
| 37 | template <class TypeTag, class BaseProblem> | ||
| 38 | class ChannelNCTestProblem : public BaseProblem | ||
| 39 | { | ||
| 40 | using ParentType = BaseProblem; | ||
| 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 ModelTraits = GetPropType<TypeTag, Properties::ModelTraits>; | ||
| 48 | using InitialValues = typename ParentType::InitialValues; | ||
| 49 | using Sources = typename ParentType::Sources; | ||
| 50 | using DirichletValues = typename ParentType::DirichletValues; | ||
| 51 | using BoundaryFluxes = typename ParentType::BoundaryFluxes; | ||
| 52 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 53 | using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>; | ||
| 54 | using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>; | ||
| 55 | |||
| 56 | static constexpr auto dimWorld = GridGeometry::GridView::dimensionworld; | ||
| 57 | using Element = typename GridGeometry::GridView::template Codim<0>::Entity; | ||
| 58 | using GlobalPosition = typename Element::Geometry::GlobalCoordinate; | ||
| 59 | using VelocityVector = Dune::FieldVector<Scalar, dimWorld>; | ||
| 60 | |||
| 61 | using CouplingManager = GetPropType<TypeTag, Properties::CouplingManager>; | ||
| 62 | |||
| 63 | using TimeLoopPtr = std::shared_ptr<CheckPointTimeLoop<Scalar>>; | ||
| 64 | |||
| 65 | static constexpr bool useMoles = ModelTraits::useMoles(); | ||
| 66 | static constexpr bool isNonisothermal = ModelTraits::enableEnergyBalance(); | ||
| 67 | static constexpr auto compIdx = 1; | ||
| 68 | |||
| 69 | public: | ||
| 70 | 24 | ChannelNCTestProblem(std::shared_ptr<const GridGeometry> gridGeometry, | |
| 71 | std::shared_ptr<CouplingManager> couplingManager) | ||
| 72 | : ParentType(gridGeometry, couplingManager) | ||
| 73 |
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96 | , eps_(1e-6) |
| 74 | { | ||
| 75 | FluidSystem::init(); | ||
| 76 |
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24 | inletVelocity_ = getParam<Scalar>("Problem.InletVelocity"); |
| 77 | 24 | } | |
| 78 | |||
| 79 | /*! | ||
| 80 | * \brief Returns a reference pressure at a given sub control volume face. | ||
| 81 | * This pressure is subtracted from the actual pressure for the momentum balance | ||
| 82 | * which potentially helps to improve numerical accuracy by avoiding issues related do floating point arithmetic. | ||
| 83 | */ | ||
| 84 | Scalar referencePressure(const Element& element, | ||
| 85 | const FVElementGeometry& fvGeometry, | ||
| 86 | const SubControlVolumeFace& scvf) const | ||
| 87 | { return 1.1e5; } | ||
| 88 | |||
| 89 | /*! | ||
| 90 | * \brief Specifies which kind of boundary condition should be | ||
| 91 | * used for which equation on a given boundary control volume. | ||
| 92 | * | ||
| 93 | * \param globalPos The position of the center of the finite volume | ||
| 94 | */ | ||
| 95 | 1399076 | BoundaryTypes boundaryTypesAtPos(const GlobalPosition& globalPos) const | |
| 96 | { | ||
| 97 |
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3388616 | BoundaryTypes values; |
| 98 | |||
| 99 | if constexpr (ParentType::isMomentumProblem()) | ||
| 100 | { | ||
| 101 | 566396 | values.setDirichlet(Indices::velocityXIdx); | |
| 102 | 566396 | values.setDirichlet(Indices::velocityYIdx); | |
| 103 | |||
| 104 |
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566396 | if (isOutlet_(globalPos)) |
| 105 | 566396 | values.setAllNeumann(); | |
| 106 | } | ||
| 107 | else | ||
| 108 | { | ||
| 109 | 832680 | values.setAllNeumann(); | |
| 110 | |||
| 111 | 832680 | if (isInlet_(globalPos)) | |
| 112 | { | ||
| 113 | 97040 | values.setDirichlet(Indices::pressureIdx); | |
| 114 | 97040 | values.setDirichlet(Indices::conti0EqIdx + compIdx); | |
| 115 | if constexpr (isNonisothermal) | ||
| 116 | 39290 | values.setDirichlet(Indices::temperatureIdx); | |
| 117 | } | ||
| 118 | } | ||
| 119 | |||
| 120 | 1399076 | return values; | |
| 121 | } | ||
| 122 | |||
| 123 | /*! | ||
| 124 | * \brief Evaluates the boundary conditions for a Dirichlet control volume. | ||
| 125 | * | ||
| 126 | * \param globalPos The center of the finite volume which ought to be set. | ||
| 127 | */ | ||
| 128 |
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530566 | DirichletValues dirichlet(const Element& element, const SubControlVolumeFace& scvf) const |
| 129 | { | ||
| 130 | 530566 | const auto& globalPos = scvf.ipGlobal(); | |
| 131 | 519846 | DirichletValues values = initialAtPos(globalPos); | |
| 132 | |||
| 133 | if constexpr (!ParentType::isMomentumProblem()) // mass problem | ||
| 134 | { | ||
| 135 | // give the system some time so that the pressure can equilibrate, then start the injection of the tracer | ||
| 136 | 10720 | if (isInlet_(globalPos)) | |
| 137 | { | ||
| 138 | // With respect to implementation, pressure is treated as if it were a dirichlet condition. | ||
| 139 | // As we want to prescribe the velocity profile in the inlet, we cannot fix the pressure at the same time. | ||
| 140 | // Therefore, the coupling manager is used to get the pressure from the momentum problem and use it as | ||
| 141 | // entry for the dirichlet condition in the mass problem. | ||
| 142 |
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10720 | values[Indices::pressureIdx] = this->couplingManager().cellPressure(element, scvf); |
| 143 | |||
| 144 |
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10720 | if (time() >= 10.0 || inletVelocity_ < eps_) |
| 145 | { | ||
| 146 | 9720 | Scalar moleFracTransportedComp = 1e-3; | |
| 147 | if constexpr (useMoles) | ||
| 148 | 5810 | values[Indices::conti0EqIdx+compIdx] = moleFracTransportedComp; | |
| 149 | else | ||
| 150 | { | ||
| 151 | Scalar averageMolarMassPhase = moleFracTransportedComp * FluidSystem::molarMass(compIdx) | ||
| 152 | + (1. - moleFracTransportedComp) * FluidSystem::molarMass(1-compIdx); | ||
| 153 | values[Indices::conti0EqIdx+compIdx] = moleFracTransportedComp * FluidSystem::molarMass(compIdx) | ||
| 154 | / averageMolarMassPhase; | ||
| 155 | } | ||
| 156 | |||
| 157 | if constexpr (isNonisothermal) | ||
| 158 | values[Indices::temperatureIdx] = 293.15; | ||
| 159 | } | ||
| 160 | } | ||
| 161 | } | ||
| 162 | |||
| 163 | return values; | ||
| 164 | } | ||
| 165 | |||
| 166 | /*! | ||
| 167 | * \brief Evaluates the boundary conditions for a Neumann control volume. | ||
| 168 | * | ||
| 169 | * \param element The element for which the Neumann boundary condition is set | ||
| 170 | * \param fvGeometry The fvGeometry | ||
| 171 | * \param elemVolVars The element volume variables | ||
| 172 | * \param elemFaceVars The element face variables | ||
| 173 | * \param scvf The boundary sub control volume face | ||
| 174 | */ | ||
| 175 | template<class ElementVolumeVariables, class ElementFluxVariablesCache> | ||
| 176 | 542424 | BoundaryFluxes neumann(const Element& element, | |
| 177 | const FVElementGeometry& fvGeometry, | ||
| 178 | const ElementVolumeVariables& elemVolVars, | ||
| 179 | const ElementFluxVariablesCache& elemFluxVarsCache, | ||
| 180 | const SubControlVolumeFace& scvf) const | ||
| 181 | { | ||
| 182 | 285600 | BoundaryFluxes values(0.0); | |
| 183 | |||
| 184 | if constexpr (ParentType::isMomentumProblem()) | ||
| 185 | { | ||
| 186 | using FluxHelper = NavierStokesMomentumBoundaryFlux<typename GridGeometry::DiscretizationMethod>; | ||
| 187 | 256824 | values = FluxHelper::fixedPressureMomentumFlux(*this, fvGeometry, scvf, | |
| 188 | elemVolVars, elemFluxVarsCache, | ||
| 189 | referencePressure(element, fvGeometry, scvf), true /*zeroNormalVelocityGradient*/); | ||
| 190 | } | ||
| 191 | else | ||
| 192 | { | ||
| 193 | 285600 | const auto insideDensity = elemVolVars[scvf.insideScvIdx()].density(); | |
| 194 |
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856800 | values[Indices::conti0EqIdx] = this->faceVelocity(element, fvGeometry, scvf) * insideDensity * scvf.unitOuterNormal(); |
| 195 | |||
| 196 | using FluxHelper = NavierStokesScalarBoundaryFluxHelper<AdvectiveFlux<ModelTraits>>; | ||
| 197 | 285600 | if (isOutlet_(scvf.ipGlobal())) | |
| 198 | 37800 | values = FluxHelper::scalarOutflowFlux( *this, element, fvGeometry, scvf, elemVolVars); | |
| 199 | } | ||
| 200 | |||
| 201 | 256824 | return values; | |
| 202 | } | ||
| 203 | |||
| 204 | /*! | ||
| 205 | * \brief Evaluates the initial value for a control volume. | ||
| 206 | * | ||
| 207 | * \param globalPos The global position | ||
| 208 | */ | ||
| 209 |
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211407 | InitialValues initialAtPos(const GlobalPosition& globalPos) const |
| 210 | { | ||
| 211 | 208872 | InitialValues values(0.0); | |
| 212 | |||
| 213 | if constexpr (ParentType::isMomentumProblem()) | ||
| 214 | { | ||
| 215 | // parabolic velocity profile | ||
| 216 | 530751 | values[Indices::velocityXIdx] = parabolicProfile(globalPos[1], inletVelocity_); | |
| 217 | } | ||
| 218 | else | ||
| 219 | { | ||
| 220 | values[Indices::pressureIdx] = 1.1e+5; | ||
| 221 | if constexpr (isNonisothermal) | ||
| 222 | values[Indices::temperatureIdx] = 283.15; | ||
| 223 | } | ||
| 224 | |||
| 225 | return values; | ||
| 226 | } | ||
| 227 | |||
| 228 | /*! | ||
| 229 | * \brief A parabolic velocity profile. | ||
| 230 | * | ||
| 231 | * \param y The position where the velocity is evaluated. | ||
| 232 | * \param vMax The profile's maximum velocity. | ||
| 233 | */ | ||
| 234 | 530751 | Scalar parabolicProfile(const Scalar y, const Scalar vMax) const | |
| 235 | { | ||
| 236 | 530751 | const Scalar yMin = this->gridGeometry().bBoxMin()[1]; | |
| 237 | 530751 | const Scalar yMax = this->gridGeometry().bBoxMax()[1]; | |
| 238 | 530751 | return vMax * (y - yMin)*(yMax - y) / (0.25*(yMax - yMin)*(yMax - yMin)); | |
| 239 | } | ||
| 240 | |||
| 241 | 12 | void setTimeLoop(TimeLoopPtr timeLoop) | |
| 242 |
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12 | { timeLoop_ = timeLoop; } |
| 243 | |||
| 244 | 10720 | Scalar time() const | |
| 245 |
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10720 | { return timeLoop_->time(); } |
| 246 | |||
| 247 | //! Enable internal Dirichlet constraints | ||
| 248 | static constexpr bool enableInternalDirichletConstraints() | ||
| 249 | { return !ParentType::isMomentumProblem(); } | ||
| 250 | |||
| 251 | /*! | ||
| 252 | * \brief Tag a degree of freedom to carry internal Dirichlet constraints. | ||
| 253 | * If true is returned for a dof, the equation for this dof is replaced | ||
| 254 | * by the constraint that its primary variable values must match the | ||
| 255 | * user-defined values obtained from the function internalDirichlet(), | ||
| 256 | * which must be defined in the problem. | ||
| 257 | * | ||
| 258 | * \param element The finite element | ||
| 259 | * \param scv The sub-control volume | ||
| 260 | */ | ||
| 261 | std::bitset<DirichletValues::dimension> hasInternalDirichletConstraint(const Element& element, const SubControlVolume& scv) const | ||
| 262 | { | ||
| 263 | std::bitset<DirichletValues::dimension> values; | ||
| 264 | return values; | ||
| 265 | } | ||
| 266 | |||
| 267 | /*! | ||
| 268 | * \brief Define the values of internal Dirichlet constraints for a degree of freedom. | ||
| 269 | * \param element The finite element | ||
| 270 | * \param scv The sub-control volume | ||
| 271 | */ | ||
| 272 | 396000 | DirichletValues internalDirichlet(const Element& element, const SubControlVolume& scv) const | |
| 273 |
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1368000 | { return DirichletValues(1.1e5); } |
| 274 | |||
| 275 | private: | ||
| 276 |
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427060 | bool isInlet_(const GlobalPosition& globalPos) const |
| 277 |
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427060 | { return globalPos[0] < eps_; } |
| 278 | |||
| 279 |
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568798 | bool isOutlet_(const GlobalPosition& globalPos) const |
| 280 |
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568798 | { return globalPos[0] > this->gridGeometry().bBoxMax()[0] - eps_; } |
| 281 | |||
| 282 | const Scalar eps_; | ||
| 283 | Scalar inletVelocity_; | ||
| 284 | TimeLoopPtr timeLoop_; | ||
| 285 | }; | ||
| 286 | } // end namespace Dumux | ||
| 287 | |||
| 288 | #endif | ||
| 289 |