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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 ThreePTests | ||
| 10 | * \brief Definition of a 3pni problem: | ||
| 11 | * Component transport of nitrogen dissolved in the water phase. | ||
| 12 | */ | ||
| 13 | |||
| 14 | #ifndef DUMUX_3PNI_CONDUCTION_PROBLEM_HH | ||
| 15 | #define DUMUX_3PNI_CONDUCTION_PROBLEM_HH | ||
| 16 | |||
| 17 | #include <cmath> | ||
| 18 | #include <algorithm> | ||
| 19 | |||
| 20 | #include <dumux/common/properties.hh> | ||
| 21 | #include <dumux/common/parameters.hh> | ||
| 22 | #include <dumux/common/boundarytypes.hh> | ||
| 23 | #include <dumux/common/numeqvector.hh> | ||
| 24 | |||
| 25 | #include <dumux/porousmediumflow/problem.hh> | ||
| 26 | #include <dumux/material/components/h2o.hh> | ||
| 27 | |||
| 28 | namespace Dumux { | ||
| 29 | |||
| 30 | /*! | ||
| 31 | * \ingroup ThreePTests | ||
| 32 | * | ||
| 33 | * \brief Test for the ThreePModel in combination with the NI model for a conduction problem. | ||
| 34 | * | ||
| 35 | * The simulation domain is a tube where with an elevated temperature on the left hand side. | ||
| 36 | * | ||
| 37 | * Initially the domain is fully saturated with water at a constant temperature. | ||
| 38 | * On the left hand side there is a Dirichlet boundary condition with an increased | ||
| 39 | * temperature and on the right hand side a Dirichlet boundary with constant | ||
| 40 | * pressure, saturation and temperature is applied. | ||
| 41 | * | ||
| 42 | * The results are compared to an analytical solution for a diffusion process: | ||
| 43 | \f[ | ||
| 44 | T =T_{high} + (T_{init} - T_{high})erf \left(0.5\sqrt{\frac{x^2 S_{total}}{t \lambda_{eff}}}\right) | ||
| 45 | \f] | ||
| 46 | * This problem uses the \ref ThreePModel and \ref NIModel model. | ||
| 47 | */ | ||
| 48 | template <class TypeTag> | ||
| 49 | class ThreePNIConductionProblem : public PorousMediumFlowProblem<TypeTag> | ||
| 50 | { | ||
| 51 | using ParentType = PorousMediumFlowProblem<TypeTag>; | ||
| 52 | |||
| 53 | using GridView = typename GetPropType<TypeTag, Properties::GridGeometry>::GridView; | ||
| 54 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 55 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
| 56 | using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>; | ||
| 57 | using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>; | ||
| 58 | using BoundaryTypes = Dumux::BoundaryTypes<GetPropType<TypeTag, Properties::ModelTraits>::numEq()>; | ||
| 59 | using ThermalConductivityModel = GetPropType<TypeTag, Properties::ThermalConductivityModel>; | ||
| 60 | using VolumeVariables = GetPropType<TypeTag, Properties::VolumeVariables>; | ||
| 61 | using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>; | ||
| 62 | using IapwsH2O = Components::H2O<Scalar>; | ||
| 63 | using NumEqVector = Dumux::NumEqVector<PrimaryVariables>; | ||
| 64 | |||
| 65 | // copy some indices for convenience | ||
| 66 | using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices; | ||
| 67 | enum { | ||
| 68 | // index of the primary variables | ||
| 69 | pressureIdx = Indices::pressureIdx, | ||
| 70 | swIdx = Indices::swIdx, | ||
| 71 | snIdx = Indices::snIdx, | ||
| 72 | temperatureIdx = Indices::temperatureIdx, | ||
| 73 | wPhaseIdx = FluidSystem::wPhaseIdx | ||
| 74 | }; | ||
| 75 | |||
| 76 | enum { dimWorld = GridView::dimensionworld }; | ||
| 77 | |||
| 78 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 79 | using GlobalPosition = typename Element::Geometry::GlobalCoordinate; | ||
| 80 | |||
| 81 | public: | ||
| 82 | 2 | ThreePNIConductionProblem(std::shared_ptr<const GridGeometry> gridGeometry) | |
| 83 |
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6 | : ParentType(gridGeometry) |
| 84 | { | ||
| 85 | //initialize fluid system | ||
| 86 | FluidSystem::init(); | ||
| 87 | |||
| 88 |
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2 | name_ = getParam<std::string>("Problem.Name"); |
| 89 | 2 | temperatureHigh_ = 300.0; | |
| 90 |
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2 | temperatureExact_.resize(gridGeometry->numDofs()); |
| 91 | 2 | } | |
| 92 | |||
| 93 | //! Get the analytical temperature | ||
| 94 | 2 | const std::vector<Scalar>& getExactTemperature() | |
| 95 | { | ||
| 96 |
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2 | return temperatureExact_; |
| 97 | } | ||
| 98 | |||
| 99 | //! Update the analytical temperature | ||
| 100 | 48 | void updateExactTemperature(const SolutionVector& curSol, Scalar time) | |
| 101 | { | ||
| 102 | 48 | const auto someElement = *(elements(this->gridGeometry().gridView()).begin()); | |
| 103 | |||
| 104 |
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48 | const auto someElemSol = elementSolution(someElement, curSol, this->gridGeometry()); |
| 105 |
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48 | const auto someInitSol = initialAtPos(someElement.geometry().center()); |
| 106 | |||
| 107 |
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96 | const auto someFvGeometry = localView(this->gridGeometry()).bindElement(someElement); |
| 108 | 48 | const auto someScv = *(scvs(someFvGeometry).begin()); | |
| 109 | |||
| 110 | 48 | VolumeVariables volVars; | |
| 111 |
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48 | volVars.update(someElemSol, *this, someElement, someScv); |
| 112 | |||
| 113 |
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48 | const auto porosity = this->spatialParams().porosity(someElement, someScv, someElemSol); |
| 114 |
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48 | const auto densityW = volVars.density(wPhaseIdx); |
| 115 |
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48 | const auto heatCapacityW = IapwsH2O::liquidHeatCapacity(someInitSol[temperatureIdx], someInitSol[pressureIdx]); |
| 116 |
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48 | const auto densityS = volVars.solidDensity(); |
| 117 | 48 | const auto heatCapacityS = volVars.solidHeatCapacity(); | |
| 118 | 48 | const auto storage = densityW*heatCapacityW*porosity + densityS*heatCapacityS*(1 - porosity); | |
| 119 |
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48 | const auto effectiveThermalConductivity = ThermalConductivityModel::effectiveThermalConductivity(volVars); |
| 120 | using std::max; | ||
| 121 |
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48 | time = max(time, 1e-10); |
| 122 |
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48 | auto fvGeometry = localView(this->gridGeometry()); |
| 123 |
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28848 | for (const auto& element : elements(this->gridGeometry().gridView())) |
| 124 | { | ||
| 125 |
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14400 | fvGeometry.bindElement(element); |
| 126 |
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33600 | for (auto&& scv : scvs(fvGeometry)) |
| 127 | { | ||
| 128 | 43200 | auto globalIdx = scv.dofIndex(); | |
| 129 | 24000 | const auto& globalPos = scv.dofPosition(); | |
| 130 | using std::erf; | ||
| 131 | using std::sqrt; | ||
| 132 | 24000 | temperatureExact_[globalIdx] = temperatureHigh_ + (someInitSol[temperatureIdx] - temperatureHigh_) | |
| 133 | 24000 | *erf(0.5*sqrt(globalPos[0]*globalPos[0]*storage/time/effectiveThermalConductivity)); | |
| 134 | |||
| 135 | } | ||
| 136 | } | ||
| 137 | 48 | } | |
| 138 | |||
| 139 | /*! | ||
| 140 | * \name Problem parameters | ||
| 141 | */ | ||
| 142 | // \{ | ||
| 143 | |||
| 144 | /*! | ||
| 145 | * \brief The problem name. | ||
| 146 | * | ||
| 147 | * This is used as a prefix for files generated by the simulation. | ||
| 148 | */ | ||
| 149 | 2 | const std::string& name() const | |
| 150 | { | ||
| 151 |
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2 | return name_; |
| 152 | } | ||
| 153 | // \} | ||
| 154 | |||
| 155 | /*! | ||
| 156 | * \name Boundary conditions | ||
| 157 | */ | ||
| 158 | // \{ | ||
| 159 | |||
| 160 | /*! | ||
| 161 | * \brief Specifies which kind of boundary condition should be | ||
| 162 | * used for which equation on a given boundary segment. | ||
| 163 | * | ||
| 164 | * \param globalPos The position for which the bc type should be evaluated | ||
| 165 | */ | ||
| 166 | 228876 | BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const | |
| 167 | { | ||
| 168 |
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228876 | BoundaryTypes values; |
| 169 |
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230016 | if(globalPos[0] < eps_ || globalPos[0] > this->gridGeometry().bBoxMax()[0] - eps_) |
| 170 | { | ||
| 171 | 228876 | values.setAllDirichlet(); | |
| 172 | } | ||
| 173 | else | ||
| 174 | { | ||
| 175 | 228876 | values.setAllNeumann(); | |
| 176 | } | ||
| 177 | 228876 | return values; | |
| 178 | } | ||
| 179 | |||
| 180 | /*! | ||
| 181 | * \brief Evaluates the boundary conditions for a Dirichlet boundary segment. | ||
| 182 | * | ||
| 183 | * \param globalPos The position for which the bc type should be evaluated | ||
| 184 | */ | ||
| 185 | 408 | PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const | |
| 186 | { | ||
| 187 |
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408 | PrimaryVariables values = initialAtPos(globalPos); |
| 188 | |||
| 189 |
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408 | if (globalPos[0] < eps_) |
| 190 | 204 | values[temperatureIdx] = temperatureHigh_; | |
| 191 | return values; | ||
| 192 | } | ||
| 193 | |||
| 194 | /*! | ||
| 195 | * \brief Evaluates the boundary conditions for a Neumann boundary segment. | ||
| 196 | * | ||
| 197 | * \param globalPos The position of the integration point of the boundary segment. | ||
| 198 | * | ||
| 199 | * For this method, the \a values parameter stores the mass flux | ||
| 200 | * in normal direction of each phase. Negative values mean influx. | ||
| 201 | */ | ||
| 202 | 1032312 | NumEqVector neumannAtPos(const GlobalPosition &globalPos) const | |
| 203 | { | ||
| 204 |
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2064624 | return NumEqVector(0.0); |
| 205 | } | ||
| 206 | |||
| 207 | // \} | ||
| 208 | |||
| 209 | /*! | ||
| 210 | * \name Volume terms | ||
| 211 | */ | ||
| 212 | // \{ | ||
| 213 | |||
| 214 | /*! | ||
| 215 | * \brief Evaluates the source term for all phases within a given | ||
| 216 | * sub-controlvolume. | ||
| 217 | * | ||
| 218 | * \param globalPos The position for which the source should be evaluated | ||
| 219 | * | ||
| 220 | * Returns the rate mass of a component is generated or annihilated | ||
| 221 | * per volume unit. Positive values mean that mass is created, | ||
| 222 | * negative ones mean that it vanishes. | ||
| 223 | * | ||
| 224 | * The units must be according to either using mole or mass fractions (mole/(m^3*s) or kg/(m^3*s)). | ||
| 225 | */ | ||
| 226 | 963600 | NumEqVector sourceAtPos(const GlobalPosition &globalPos) const | |
| 227 | { | ||
| 228 |
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5781600 | return NumEqVector(0.0); |
| 229 | } | ||
| 230 | |||
| 231 | /*! | ||
| 232 | * \brief Evaluates the initial value for a control volume. | ||
| 233 | * | ||
| 234 | * \param globalPos The position for which the initial condition should be evaluated | ||
| 235 | * | ||
| 236 | */ | ||
| 237 |
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1058 | PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const |
| 238 | { | ||
| 239 | PrimaryVariables values; | ||
| 240 | 264 | values[pressureIdx] = 1e5; // initial condition for the pressure | |
| 241 | 264 | values[swIdx] = 1.0; // initial condition for the wetting phase saturation | |
| 242 | 264 | values[snIdx] = 1e-5; // initial condition for the nonwetting phase saturation | |
| 243 |
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264 | values[temperatureIdx] = 290; |
| 244 | return values; | ||
| 245 | } | ||
| 246 | |||
| 247 | // \} | ||
| 248 | |||
| 249 | private: | ||
| 250 | Scalar temperatureHigh_; | ||
| 251 | static constexpr Scalar eps_ = 1e-6; | ||
| 252 | std::string name_; | ||
| 253 | std::vector<Scalar> temperatureExact_; | ||
| 254 | }; | ||
| 255 | |||
| 256 | } // end namespace Dumux | ||
| 257 | #endif | ||
| 258 |