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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 MPNCTests | ||
| 10 | * \brief Problem where liquid water is injected which has to go | ||
| 11 | * around an obstacle with \f$10^3\f$ lower permeability. | ||
| 12 | * | ||
| 13 | * The water is injected by means of a Dirichlet condition on the lower | ||
| 14 | * right of the domain. | ||
| 15 | */ | ||
| 16 | #ifndef DUMUX_OBSTACLEPROBLEM_HH | ||
| 17 | #define DUMUX_OBSTACLEPROBLEM_HH | ||
| 18 | |||
| 19 | #include <dumux/common/properties.hh> | ||
| 20 | #include <dumux/common/parameters.hh> | ||
| 21 | #include <dumux/common/boundarytypes.hh> | ||
| 22 | #include <dumux/common/numeqvector.hh> | ||
| 23 | |||
| 24 | #include <dumux/porousmediumflow/problem.hh> | ||
| 25 | #include <dumux/porousmediumflow/mpnc/initialconditionhelper.hh> | ||
| 26 | |||
| 27 | namespace Dumux { | ||
| 28 | |||
| 29 | /*! | ||
| 30 | * \ingroup MPNCTests | ||
| 31 | * \brief Problem where liquid water is injected which has to go | ||
| 32 | * around an obstacle with \f$10^3\f$ lower permeability. | ||
| 33 | * | ||
| 34 | * The water is injected by means of a Dirichlet condition on the lower | ||
| 35 | * right of the domain. | ||
| 36 | * | ||
| 37 | * The domain is sized 60m times 40m and consists of two media, a | ||
| 38 | * moderately permeable soil (\f$ K_0=10e-12 m^2\f$) and an obstacle | ||
| 39 | * at \f$[10; 20]m \times [0; 35]m \f$ with a lower permeablility of | ||
| 40 | * \f$ K_1=K_0/1000\f$. | ||
| 41 | * | ||
| 42 | * Initially, the whole domain is filled with nitrogen, the temperature | ||
| 43 | * is \f$25\symbol{23}C\f$ in the whole domain. The gas pressure in the | ||
| 44 | * domain is 1 bar, except on the inlet (lower 10 meters of right hand | ||
| 45 | * boundary) where the pressure is 2 bar. | ||
| 46 | * | ||
| 47 | * The boundary is no-flow except on the lower 10 meters of the left | ||
| 48 | * and the right boundary which are Dirichlet conditions with the same | ||
| 49 | * values as the initial condition. | ||
| 50 | * | ||
| 51 | * This problem uses the \ref MPNCModel. | ||
| 52 | */ | ||
| 53 | template <class TypeTag> | ||
| 54 | class ObstacleProblem | ||
| 55 | : public PorousMediumFlowProblem<TypeTag> | ||
| 56 | { | ||
| 57 | using ParentType = PorousMediumFlowProblem<TypeTag>; | ||
| 58 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 59 | using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>; | ||
| 60 | using BoundaryTypes = Dumux::BoundaryTypes<GetPropType<TypeTag, Properties::ModelTraits>::numEq()>; | ||
| 61 | using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>; | ||
| 62 | using NumEqVector = Dumux::NumEqVector<PrimaryVariables>; | ||
| 63 | using ElementVolumeVariables = typename GetPropType<TypeTag, Properties::GridVolumeVariables>::LocalView; | ||
| 64 | using FVElementGeometry = typename GetPropType<TypeTag, Properties::GridGeometry>::LocalView; | ||
| 65 | using SubControlVolume = typename FVElementGeometry::SubControlVolume; | ||
| 66 | using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace; | ||
| 67 | using GridView = typename GetPropType<TypeTag, Properties::GridGeometry>::GridView; | ||
| 68 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 69 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
| 70 | using FluidState = GetPropType<TypeTag, Properties::FluidState>; | ||
| 71 | |||
| 72 | using ModelTraits = GetPropType<TypeTag, Properties::ModelTraits>; | ||
| 73 | using Indices = typename ModelTraits::Indices; | ||
| 74 | |||
| 75 | enum { dimWorld = GridView::dimensionworld }; | ||
| 76 | enum { numPhases = ModelTraits::numFluidPhases() }; | ||
| 77 | enum { numComponents = ModelTraits::numFluidComponents() }; | ||
| 78 | enum { gasPhaseIdx = FluidSystem::gasPhaseIdx }; | ||
| 79 | enum { liquidPhaseIdx = FluidSystem::liquidPhaseIdx }; | ||
| 80 | enum { H2OIdx = FluidSystem::H2OIdx }; | ||
| 81 | enum { N2Idx = FluidSystem::N2Idx }; | ||
| 82 | enum { fug0Idx = Indices::fug0Idx }; | ||
| 83 | enum { s0Idx = Indices::s0Idx }; | ||
| 84 | enum { p0Idx = Indices::p0Idx }; | ||
| 85 | |||
| 86 | using GlobalPosition = typename SubControlVolume::GlobalPosition; | ||
| 87 | using PhaseVector = Dune::FieldVector<Scalar, numPhases>; | ||
| 88 | |||
| 89 | public: | ||
| 90 | 2 | ObstacleProblem(std::shared_ptr<const GridGeometry> gridGeometry) | |
| 91 |
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6 | : ParentType(gridGeometry) |
| 92 | { | ||
| 93 |
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2 | const auto temperature = getParam<Scalar>("SpatialParams.Temperature"); |
| 94 | |||
| 95 | // initialize the tables of the fluid system | ||
| 96 | 2 | Scalar Tmin = temperature - 1.0; | |
| 97 | 2 | Scalar Tmax = temperature + 1.0; | |
| 98 | 2 | int nT = 3; | |
| 99 | |||
| 100 | 2 | Scalar pmin = 1.0e5 * 0.75; | |
| 101 | 2 | Scalar pmax = 2.0e5 * 1.25; | |
| 102 | 2 | int np = 1000; | |
| 103 | |||
| 104 |
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2 | FluidSystem::init(Tmin, Tmax, nT, pmin, pmax, np); |
| 105 |
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2 | name_ = getParam<std::string>("Problem.Name"); |
| 106 | 2 | } | |
| 107 | |||
| 108 | /*! | ||
| 109 | * \name Problem parameters | ||
| 110 | */ | ||
| 111 | // \{ | ||
| 112 | |||
| 113 | /*! | ||
| 114 | * \brief Returns the problem name | ||
| 115 | * | ||
| 116 | * This is used as a prefix for files generated by the simulation. | ||
| 117 | */ | ||
| 118 | const std::string name() const | ||
| 119 |
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2 | { return name_; } |
| 120 | |||
| 121 | // \} | ||
| 122 | |||
| 123 | /*! | ||
| 124 | * \name Boundary conditions | ||
| 125 | */ | ||
| 126 | // \{ | ||
| 127 | /*! | ||
| 128 | * \brief Specifies which kind of boundary condition should be | ||
| 129 | * used for which equation on a given boundary segment | ||
| 130 | * | ||
| 131 | * \param globalPos The global position | ||
| 132 | */ | ||
| 133 | 28308 | BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const | |
| 134 | { | ||
| 135 | 28308 | BoundaryTypes bcTypes; | |
| 136 | 55149 | if (onInlet_(globalPos) || onOutlet_(globalPos)) | |
| 137 | bcTypes.setAllDirichlet(); | ||
| 138 | else | ||
| 139 | bcTypes.setAllNeumann(); | ||
| 140 | 28308 | return bcTypes; | |
| 141 | } | ||
| 142 | |||
| 143 | /*! | ||
| 144 | * \brief Evaluates the boundary conditions for a Dirichlet boundary segment. | ||
| 145 | * | ||
| 146 | * \param globalPos The global position | ||
| 147 | */ | ||
| 148 | PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const | ||
| 149 | { | ||
| 150 | 1134 | return initial_(globalPos); | |
| 151 | } | ||
| 152 | |||
| 153 | /*! | ||
| 154 | * \brief Evaluates the boundary conditions for a Neumann boundary segment. | ||
| 155 | */ | ||
| 156 | ✗ | NumEqVector neumannAtPos(const GlobalPosition& globalPos) const | |
| 157 | { | ||
| 158 |
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237080 | return NumEqVector(0.0); |
| 159 | } | ||
| 160 | |||
| 161 | // \} | ||
| 162 | |||
| 163 | /*! | ||
| 164 | * \name Volume terms | ||
| 165 | */ | ||
| 166 | // \{ | ||
| 167 | |||
| 168 | /*! | ||
| 169 | * \brief Evaluates the source term for all balance equations within a given | ||
| 170 | * sub-control volume. | ||
| 171 | * | ||
| 172 | * \param element The finite element | ||
| 173 | * \param fvGeometry The finite volume geometry of the element | ||
| 174 | * \param elemVolVars The volume variables of the element | ||
| 175 | * \param scv The sub-control volume | ||
| 176 | * | ||
| 177 | * Positive values mean that mass is created, negative ones mean that it vanishes. | ||
| 178 | */ | ||
| 179 | ✗ | NumEqVector source(const Element &element, | |
| 180 | const FVElementGeometry& fvGeometry, | ||
| 181 | const ElementVolumeVariables& elemVolVars, | ||
| 182 | const SubControlVolume &scv) const | ||
| 183 | { | ||
| 184 | 1209216 | return NumEqVector(0.0); | |
| 185 | } | ||
| 186 | |||
| 187 | /*! | ||
| 188 | * \brief Evaluates the initial value for a control volume. | ||
| 189 | * | ||
| 190 | * \param globalPos The center of the finite volume which ought to be set. | ||
| 191 | * | ||
| 192 | * For this method, the \a values parameter stores primary | ||
| 193 | * variables. | ||
| 194 | */ | ||
| 195 | PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const | ||
| 196 | { | ||
| 197 | 809 | return initial_(globalPos); | |
| 198 | } | ||
| 199 | |||
| 200 | // \} | ||
| 201 | |||
| 202 | private: | ||
| 203 | // the internal method for the initial condition | ||
| 204 | 1943 | PrimaryVariables initial_(const GlobalPosition &globalPos) const | |
| 205 | { | ||
| 206 | int refPhaseIdx, otherPhaseIdx; | ||
| 207 | Scalar refPhasePressure, refPhaseSaturation; | ||
| 208 | |||
| 209 | 1943 | FluidState fs; | |
| 210 | 3886 | fs.setTemperature(this->spatialParams().temperatureAtPos(globalPos)); | |
| 211 | 3886 | if (onInlet_(globalPos)) | |
| 212 | { | ||
| 213 | // only liquid on inlet | ||
| 214 | 572 | refPhaseIdx = liquidPhaseIdx; | |
| 215 | 572 | otherPhaseIdx = gasPhaseIdx; | |
| 216 | 572 | refPhasePressure = 2e5; | |
| 217 | 572 | refPhaseSaturation = 1.0; | |
| 218 | |||
| 219 | 572 | fs.setSaturation(liquidPhaseIdx, refPhaseSaturation); | |
| 220 | 572 | fs.setPressure(liquidPhaseIdx, refPhasePressure); | |
| 221 | 572 | fs.setMoleFraction(liquidPhaseIdx, N2Idx, 0.0); | |
| 222 | 572 | fs.setMoleFraction(liquidPhaseIdx, H2OIdx, 1.0); | |
| 223 | } | ||
| 224 | else { | ||
| 225 | // elsewhere, only gas | ||
| 226 | 1371 | refPhaseIdx = gasPhaseIdx; | |
| 227 | 1371 | otherPhaseIdx = liquidPhaseIdx; | |
| 228 | 1371 | refPhasePressure = 1e5; | |
| 229 | 1371 | refPhaseSaturation = 1.0; | |
| 230 | |||
| 231 | 1371 | fs.setSaturation(gasPhaseIdx, refPhaseSaturation); | |
| 232 | 1371 | fs.setPressure(gasPhaseIdx, refPhasePressure); | |
| 233 | 1371 | fs.setMoleFraction(gasPhaseIdx, N2Idx, 0.99); | |
| 234 | 1371 | fs.setMoleFraction(gasPhaseIdx, H2OIdx, 0.01); | |
| 235 | } | ||
| 236 | |||
| 237 | 1943 | fs.setSaturation(otherPhaseIdx, 1.0 - refPhaseSaturation); | |
| 238 | 3886 | const auto fluidMatrixInteraction = this->spatialParams().fluidMatrixInteractionAtPos(globalPos); | |
| 239 | 1943 | const int wPhaseIdx = this->spatialParams().template wettingPhaseAtPos<FluidSystem>(globalPos); | |
| 240 | 1943 | const auto pc = fluidMatrixInteraction.capillaryPressures(fs, wPhaseIdx); | |
| 241 | 5829 | fs.setPressure(otherPhaseIdx, refPhasePressure + (pc[otherPhaseIdx] - pc[refPhaseIdx])); | |
| 242 | |||
| 243 | MPNCInitialConditionHelper<PrimaryVariables, FluidSystem, ModelTraits> helper; | ||
| 244 | 1943 | helper.solve(fs, MPNCInitialConditions::NotAllPhasesPresent{.refPhaseIdx = refPhaseIdx}); | |
| 245 | 1943 | return helper.getPrimaryVariables(fs); | |
| 246 | } | ||
| 247 | |||
| 248 | ✗ | bool onInlet_(const GlobalPosition &globalPos) const | |
| 249 | { | ||
| 250 |
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30251 | Scalar x = globalPos[0]; |
| 251 |
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30251 | Scalar y = globalPos[1]; |
| 252 |
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30251 | return x >= 60 - eps_ && y <= 10 + eps_; |
| 253 | } | ||
| 254 | |||
| 255 | ✗ | bool onOutlet_(const GlobalPosition &globalPos) const | |
| 256 | { | ||
| 257 |
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26841 | Scalar x = globalPos[0]; |
| 258 |
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26841 | Scalar y = globalPos[1]; |
| 259 |
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26841 | return x < eps_ && y <= 10 + eps_; |
| 260 | } | ||
| 261 | |||
| 262 | static constexpr Scalar eps_ = 1e-6; | ||
| 263 | std::string name_; | ||
| 264 | }; | ||
| 265 | } // end namespace Dumux | ||
| 266 | |||
| 267 | #endif | ||
| 268 |