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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 EmbeddedTests | ||
| 10 | * \brief A test problem for the one-phase root model: | ||
| 11 | * Sap is flowing through a 1d network root xylem. | ||
| 12 | */ | ||
| 13 | |||
| 14 | #ifndef DUMUX_ROOT_PROBLEM_HH | ||
| 15 | #define DUMUX_ROOT_PROBLEM_HH | ||
| 16 | |||
| 17 | #include <dumux/common/boundarytypes.hh> | ||
| 18 | #include <dumux/common/parameters.hh> | ||
| 19 | #include <dumux/common/properties.hh> | ||
| 20 | #include <dumux/common/numeqvector.hh> | ||
| 21 | |||
| 22 | #include <dumux/porousmediumflow/problem.hh> | ||
| 23 | |||
| 24 | namespace Dumux { | ||
| 25 | |||
| 26 | /*! | ||
| 27 | * \ingroup EmbeddedTests | ||
| 28 | * \brief Exact solution 1D-3D | ||
| 29 | */ | ||
| 30 | template <class TypeTag> | ||
| 31 | class RootProblem : public PorousMediumFlowProblem<TypeTag> | ||
| 32 | { | ||
| 33 | using ParentType = PorousMediumFlowProblem<TypeTag>; | ||
| 34 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 35 | using PointSource = GetPropType<TypeTag, Properties::PointSource>; | ||
| 36 | using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>; | ||
| 37 | using SourceValues = Dumux::NumEqVector<PrimaryVariables>; | ||
| 38 | using NeumannFluxes = SourceValues; | ||
| 39 | using BoundaryTypes = Dumux::BoundaryTypes<GetPropType<TypeTag, Properties::ModelTraits>::numEq()>; | ||
| 40 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
| 41 | using GridView = typename GridGeometry::GridView; | ||
| 42 | using FVElementGeometry = typename GridGeometry::LocalView; | ||
| 43 | using SubControlVolume = typename GridGeometry::SubControlVolume; | ||
| 44 | using SubControlVolumeFace = typename GridGeometry::SubControlVolumeFace; | ||
| 45 | using GlobalPosition = typename GridGeometry::GlobalCoordinate; | ||
| 46 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 47 | using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>; | ||
| 48 | using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; | ||
| 49 | |||
| 50 | using CouplingManager = GetPropType<TypeTag, Properties::CouplingManager>; | ||
| 51 | |||
| 52 | public: | ||
| 53 | using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>; | ||
| 54 | enum Indices { | ||
| 55 | // Grid and world dimension | ||
| 56 | dim = GridView::dimension, | ||
| 57 | dimworld = GridView::dimensionworld, | ||
| 58 | |||
| 59 | pressureIdx = 0, | ||
| 60 | transportCompIdx = 1, | ||
| 61 | |||
| 62 | conti0EqIdx = 0, | ||
| 63 | transportEqIdx = 1, | ||
| 64 | |||
| 65 | liquidPhaseIdx = 0 | ||
| 66 | }; | ||
| 67 | |||
| 68 | template<class SpatialParams> | ||
| 69 | 1 | RootProblem(std::shared_ptr<const GridGeometry> gridGeometry, | |
| 70 | std::shared_ptr<SpatialParams> spatialParams, | ||
| 71 | std::shared_ptr<CouplingManager> couplingManager) | ||
| 72 | : ParentType(gridGeometry, spatialParams, "Root") | ||
| 73 |
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4 | , couplingManager_(couplingManager) |
| 74 | { | ||
| 75 | // read parameters from input file | ||
| 76 |
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2 | name_ = getParam<std::string>("Vtk.OutputName") + "_" + getParamFromGroup<std::string>(this->paramGroup(), "Problem.Name"); |
| 77 |
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1 | transpirationRate_ = getParam<Scalar>("BoundaryConditions.TranspirationRate"); |
| 78 |
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1 | initPressure_ = getParam<Scalar>("BoundaryConditions.InitialRootPressure"); |
| 79 | 1 | } | |
| 80 | |||
| 81 | /*! | ||
| 82 | * \name Problem parameters | ||
| 83 | */ | ||
| 84 | // \{ | ||
| 85 | |||
| 86 | /*! | ||
| 87 | * \brief The problem name. | ||
| 88 | * | ||
| 89 | * This is used as a prefix for files generated by the simulation. | ||
| 90 | */ | ||
| 91 | const std::string& name() const | ||
| 92 |
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1 | { return name_; } |
| 93 | |||
| 94 | // \} | ||
| 95 | /*! | ||
| 96 | * \name Boundary conditions | ||
| 97 | */ | ||
| 98 | // \{ | ||
| 99 | |||
| 100 | /*! | ||
| 101 | * \brief Specifies which kind of boundary condition should be | ||
| 102 | * used for which equation on a given boundary segment. | ||
| 103 | * | ||
| 104 | * \param globalPos The global position | ||
| 105 | */ | ||
| 106 | ✗ | BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const | |
| 107 | { | ||
| 108 | 8614 | BoundaryTypes values; | |
| 109 |
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8614 | values.setAllNeumann(); |
| 110 | ✗ | return values; | |
| 111 | } | ||
| 112 | |||
| 113 | /*! | ||
| 114 | * \brief Evaluates the boundary conditions for a Dirichlet control volume. | ||
| 115 | * | ||
| 116 | * \param globalPos The global position | ||
| 117 | * | ||
| 118 | * For this method, the \a values parameter stores primary variables. | ||
| 119 | */ | ||
| 120 | ✗ | PrimaryVariables dirichletAtPos(const GlobalPosition& globalPos) const | |
| 121 | ✗ | { return initialAtPos(globalPos); } | |
| 122 | |||
| 123 | |||
| 124 | /*! | ||
| 125 | * \brief Evaluates the boundary conditions for a Neumann boundary segment. | ||
| 126 | * | ||
| 127 | * For this method, the \a priVars parameter stores the mass flux | ||
| 128 | * in normal direction of each component. Negative values mean | ||
| 129 | * influx. | ||
| 130 | */ | ||
| 131 | template<class ElementVolumeVariables, class ElementFluxVarsCache> | ||
| 132 | 6549 | NeumannFluxes neumann(const Element& element, | |
| 133 | const FVElementGeometry& fvGeometry, | ||
| 134 | const ElementVolumeVariables& elemVolvars, | ||
| 135 | const ElementFluxVarsCache& elemFluxVarsCache, | ||
| 136 | const SubControlVolumeFace& scvf) const | ||
| 137 | { | ||
| 138 | 6549 | NeumannFluxes values(0.0); | |
| 139 |
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39294 | if (scvf.center()[2] + eps_ > this->gridGeometry().bBoxMax()[2]) |
| 140 | { | ||
| 141 | 222 | const auto& volVars = elemVolvars[scvf.insideScvIdx()]; | |
| 142 | 222 | const Scalar value = transpirationRate_ * volVars.molarDensity(liquidPhaseIdx)/volVars.density(liquidPhaseIdx); | |
| 143 | |||
| 144 | 111 | values[conti0EqIdx] = value / volVars.extrusionFactor() / scvf.area(); | |
| 145 | // use upwind mole fraction to get outflow condition for the tracer | ||
| 146 | 444 | values[transportEqIdx] = values[conti0EqIdx] * volVars.moleFraction(liquidPhaseIdx, transportCompIdx); | |
| 147 | } | ||
| 148 | 6549 | return values; | |
| 149 | |||
| 150 | } | ||
| 151 | |||
| 152 | // \} | ||
| 153 | |||
| 154 | /*! | ||
| 155 | * \name Volume terms | ||
| 156 | */ | ||
| 157 | // \{ | ||
| 158 | |||
| 159 | /*! | ||
| 160 | * \brief Applies a vector of point sources which are possibly solution dependent. | ||
| 161 | * | ||
| 162 | * \param pointSources A vector of PointSource s that contain | ||
| 163 | source values for all phases and space positions. | ||
| 164 | * | ||
| 165 | * For this method, the \a values method of the point source | ||
| 166 | * has to return the absolute mass rate in kg/s. Positive values mean | ||
| 167 | * that mass is created, negative ones mean that it vanishes. | ||
| 168 | */ | ||
| 169 | void addPointSources(std::vector<PointSource>& pointSources) const | ||
| 170 |
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1 | { pointSources = this->couplingManager().lowDimPointSources(); } |
| 171 | |||
| 172 | /*! | ||
| 173 | * \brief Evaluates the point sources (added by addPointSources) | ||
| 174 | * for all phases within a given sub control volume. | ||
| 175 | * | ||
| 176 | * This is the method for the case where the point source is | ||
| 177 | * solution dependent and requires some quantities that | ||
| 178 | * are specific to the fully-implicit method. | ||
| 179 | * | ||
| 180 | * \param source A single point source | ||
| 181 | * \param element The finite element | ||
| 182 | * \param fvGeometry The finite-volume geometry | ||
| 183 | * \param elemVolVars All volume variables for the element | ||
| 184 | * \param scv The sub control volume within the element | ||
| 185 | * | ||
| 186 | * For this method, the \a values() method of the point sources returns | ||
| 187 | * the absolute rate mass generated or annihilated in kg/s. Positive values mean | ||
| 188 | * that mass is created, negative ones mean that it vanishes. | ||
| 189 | */ | ||
| 190 | template<class ElementVolumeVariables> | ||
| 191 | 670548 | void pointSource(PointSource& source, | |
| 192 | const Element &element, | ||
| 193 | const FVElementGeometry& fvGeometry, | ||
| 194 | const ElementVolumeVariables& elemVolVars, | ||
| 195 | const SubControlVolume &scv) const | ||
| 196 | { | ||
| 197 | 670548 | SourceValues sourceValues; | |
| 198 | |||
| 199 | // compute source at every integration point | ||
| 200 | 2011644 | const auto priVars3D = this->couplingManager().bulkPriVars(source.id()); | |
| 201 | 2011644 | const auto priVars1D = this->couplingManager().lowDimPriVars(source.id()); | |
| 202 |
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670548 | const Scalar pressure3D = priVars3D[pressureIdx]; |
| 203 |
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670548 | const Scalar pressure1D = priVars1D[pressureIdx]; |
| 204 | |||
| 205 | 2011644 | const auto lowDimElementIdx = this->couplingManager().pointSourceData(source.id()).lowDimElementIdx(); | |
| 206 |
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670548 | const Scalar Kr = this->spatialParams().Kr(lowDimElementIdx); |
| 207 |
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1341096 | const Scalar rootRadius = this->spatialParams().radius(lowDimElementIdx); |
| 208 | |||
| 209 | // sink defined as radial flow Jr * density [m^2 s-1]* [kg m-3] | ||
| 210 | 670548 | const auto molarDensityH20 = 1000 / 0.018; | |
| 211 |
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670548 | sourceValues[conti0EqIdx] = 2 * M_PI * rootRadius * Kr * (pressure3D - pressure1D) * molarDensityH20; |
| 212 | |||
| 213 |
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670548 | const Scalar x3D = priVars3D[transportCompIdx]; |
| 214 |
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670548 | const Scalar x1D = priVars1D[transportCompIdx]; |
| 215 | |||
| 216 | //! Advective transport over root wall | ||
| 217 | // compute correct upwind concentration | ||
| 218 |
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1341096 | if (sourceValues[conti0EqIdx] > 0) |
| 219 | 2011644 | sourceValues[transportEqIdx] = sourceValues[conti0EqIdx]*x3D; | |
| 220 | else | ||
| 221 | ✗ | sourceValues[transportEqIdx] = sourceValues[conti0EqIdx]*x1D; | |
| 222 | |||
| 223 | //! Diffusive transport over root wall | ||
| 224 | 670548 | const auto molarDensityD20 = 1000 / 0.020; | |
| 225 | 670548 | sourceValues[transportEqIdx] += 2 * M_PI * rootRadius * 1.0e-8 * (x3D - x1D) * molarDensityD20; | |
| 226 | |||
| 227 | 670548 | sourceValues *= source.quadratureWeight()*source.integrationElement(); | |
| 228 | 1341096 | source = sourceValues; | |
| 229 | 670548 | } | |
| 230 | |||
| 231 | /*! | ||
| 232 | * \brief Evaluates the initial value for a control volume. | ||
| 233 | * | ||
| 234 | * For this method, the \a priVars parameter stores primary | ||
| 235 | * variables. | ||
| 236 | */ | ||
| 237 | ✗ | PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const | |
| 238 | ✗ | { return PrimaryVariables({initPressure_, 0.0}); } | |
| 239 | |||
| 240 | // \} | ||
| 241 | |||
| 242 | /*! | ||
| 243 | * \brief Adds additional VTK output data to the VTKWriter. | ||
| 244 | * | ||
| 245 | * Function is called by the output module on every write. | ||
| 246 | */ | ||
| 247 | template<class VtkOutputModule> | ||
| 248 | 1 | void addVtkOutputFields(VtkOutputModule& vtk) const | |
| 249 | { | ||
| 250 |
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2 | vtk.addField(this->spatialParams().getRadii(), "radius"); |
| 251 | 1 | } | |
| 252 | |||
| 253 | //! Get the coupling manager | ||
| 254 | const CouplingManager& couplingManager() const | ||
| 255 |
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2682194 | { return *couplingManager_; } |
| 256 | |||
| 257 | private: | ||
| 258 | Scalar transpirationRate_, initPressure_; | ||
| 259 | |||
| 260 | static constexpr Scalar eps_ = 1.5e-7; | ||
| 261 | std::string name_; | ||
| 262 | |||
| 263 | std::shared_ptr<CouplingManager> couplingManager_; | ||
| 264 | }; | ||
| 265 | |||
| 266 | } // end namespace Dumux | ||
| 267 | |||
| 268 | #endif | ||
| 269 |