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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 ThreePTests | ||
| 10 | * \brief Isothermal NAPL infiltration problem: LNAPL contaminates | ||
| 11 | * the unsaturated and the saturated groundwater zone. | ||
| 12 | */ | ||
| 13 | #ifndef DUMUX_INFILTRATION_THREEP_PROBLEM_HH | ||
| 14 | #define DUMUX_INFILTRATION_THREEP_PROBLEM_HH | ||
| 15 | |||
| 16 | #include <dumux/common/boundarytypes.hh> | ||
| 17 | #include <dumux/common/numeqvector.hh> | ||
| 18 | |||
| 19 | #include <dumux/porousmediumflow/problem.hh> | ||
| 20 | |||
| 21 | namespace Dumux { | ||
| 22 | |||
| 23 | /*! | ||
| 24 | * \ingroup ThreePTests | ||
| 25 | * \brief Isothermal NAPL infiltration problem: LNAPL contaminates | ||
| 26 | * the unsaturated and the saturated groundwater zone. | ||
| 27 | * | ||
| 28 | * The 2D domain of this test problem is 500m long and 10m deep, where | ||
| 29 | * the lower part represents a slightly inclined groundwater table, and the | ||
| 30 | * upper part is the vadose zone. | ||
| 31 | * A LNAPL (Non-Aqueous Phase Liquid which is lighter than water) infiltrates | ||
| 32 | * (modelled with a Neumann boundary condition) into the vadose zone. Upon | ||
| 33 | * reaching the water table, it spreads (since lighter than water) and migrates | ||
| 34 | * on top of the water table in the direction of the slope. | ||
| 35 | * On its way through the vadose zone, it leaves a trace of residually trapped | ||
| 36 | * immobile NAPL, which can in the following dissolve and evaporate slowly, | ||
| 37 | * and eventually be transported by advection and diffusion. | ||
| 38 | * | ||
| 39 | * Left and right boundaries are constant head boundaries (Dirichlet), | ||
| 40 | * Top and bottom are Neumann boundaries, all no-flow except for the small | ||
| 41 | * infiltration zone in the upper left part. | ||
| 42 | * | ||
| 43 | * This problem uses the \ref ThreePModel. | ||
| 44 | * | ||
| 45 | * This problem should typically be simulated for 30 days. | ||
| 46 | * A good choice for the initial time step size is 60s. | ||
| 47 | * */ | ||
| 48 | template <class TypeTag > | ||
| 49 | class InfiltrationThreePProblem : public PorousMediumFlowProblem<TypeTag> | ||
| 50 | { | ||
| 51 | using ParentType = PorousMediumFlowProblem<TypeTag>; | ||
| 52 | |||
| 53 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 54 | using GridView = typename GetPropType<TypeTag, Properties::GridGeometry>::GridView; | ||
| 55 | using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices; | ||
| 56 | |||
| 57 | enum { | ||
| 58 | pressureIdx = Indices::pressureIdx, | ||
| 59 | swIdx = Indices::swIdx, | ||
| 60 | snIdx = Indices::snIdx, | ||
| 61 | |||
| 62 | // world dimension | ||
| 63 | dimWorld = GridView::dimensionworld | ||
| 64 | }; | ||
| 65 | |||
| 66 | using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>; | ||
| 67 | using NumEqVector = Dumux::NumEqVector<PrimaryVariables>; | ||
| 68 | using BoundaryTypes = Dumux::BoundaryTypes<GetPropType<TypeTag, Properties::ModelTraits>::numEq()>; | ||
| 69 | using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>; | ||
| 70 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
| 71 | |||
| 72 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 73 | using GlobalPosition = typename Element::Geometry::GlobalCoordinate; | ||
| 74 | |||
| 75 | public: | ||
| 76 | 2 | InfiltrationThreePProblem(std::shared_ptr<const GridGeometry> gridGeometry) | |
| 77 |
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6 | : ParentType(gridGeometry) |
| 78 | { | ||
| 79 |
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2 | FluidSystem::init(282.15, 284.15, 3, 8e4, 3e5, 200); |
| 80 | |||
| 81 |
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2 | name_ = getParam<std::string>("Problem.Name"); |
| 82 | |||
| 83 |
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4 | this->spatialParams().plotMaterialLaw(); |
| 84 | 2 | time_ = 0.0; | |
| 85 | 2 | } | |
| 86 | |||
| 87 | /*! | ||
| 88 | * \name Problem parameters | ||
| 89 | */ | ||
| 90 | // \{ | ||
| 91 | ✗ | void setTime(Scalar time) | |
| 92 |
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16 | { time_ = time; } |
| 93 | |||
| 94 | /*! | ||
| 95 | * \brief The problem name. | ||
| 96 | * | ||
| 97 | * This is used as a prefix for files generated by the simulation. | ||
| 98 | */ | ||
| 99 | const std::string& name() const | ||
| 100 |
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2 | { return name_; } |
| 101 | |||
| 102 | // \} | ||
| 103 | |||
| 104 | /*! | ||
| 105 | * \name Boundary conditions | ||
| 106 | */ | ||
| 107 | // \{ | ||
| 108 | |||
| 109 | /*! | ||
| 110 | * \brief Specifies which kind of boundary condition should be | ||
| 111 | * used for which equation on a given boundary segment. | ||
| 112 | * | ||
| 113 | * \param globalPos The position for which the bc type should be evaluated | ||
| 114 | */ | ||
| 115 | 13376 | BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const | |
| 116 | { | ||
| 117 | 13376 | BoundaryTypes values; | |
| 118 | |||
| 119 |
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53504 | if(globalPos[0] > this->gridGeometry().bBoxMax()[0] - eps_ |
| 120 |
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13376 | || globalPos[0] < this->gridGeometry().bBoxMin()[0] + eps_) |
| 121 | values.setAllDirichlet(); | ||
| 122 | else | ||
| 123 | values.setAllNeumann(); | ||
| 124 | |||
| 125 | 13376 | return values; | |
| 126 | } | ||
| 127 | |||
| 128 | /*! | ||
| 129 | * \brief Evaluates the boundary conditions for a Dirichlet boundary segment. | ||
| 130 | * | ||
| 131 | * \param globalPos The position for which the bc type should be evaluated | ||
| 132 | * | ||
| 133 | * For this method, the \a values parameter stores primary variables. | ||
| 134 | */ | ||
| 135 | PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const | ||
| 136 | { | ||
| 137 | 960 | PrimaryVariables values(0.0); | |
| 138 | 960 | initial_(values, globalPos); | |
| 139 | return values; | ||
| 140 | } | ||
| 141 | /*! | ||
| 142 | * \brief Evaluates the boundary conditions for a Neumann boundary segment. | ||
| 143 | * | ||
| 144 | * \param globalPos The position of the integration point of the boundary segment. | ||
| 145 | * | ||
| 146 | * For this method, the \a values parameter stores the mass flux | ||
| 147 | * in normal direction of each phase. Negative values mean influx. | ||
| 148 | */ | ||
| 149 | NumEqVector neumannAtPos(const GlobalPosition &globalPos) const | ||
| 150 | { | ||
| 151 | 47168 | NumEqVector values(0.0); | |
| 152 | |||
| 153 | // negative values for injection | ||
| 154 |
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47168 | if (time_ < 2592000.0 - eps_) |
| 155 | { | ||
| 156 |
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47168 | if ((globalPos[0] < 175.0 + eps_) && (globalPos[0] > 155.0 - eps_) |
| 157 |
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57408 | && (globalPos[1] > this->gridGeometry().bBoxMax()[1] - eps_)) |
| 158 | { | ||
| 159 | // mol fluxes, convert with M(Mesit.)=0,120 kg/mol --> 1.2e-4 kg/(sm) | ||
| 160 | 2048 | values[Indices::conti0EqIdx + FluidSystem::nCompIdx] = -0.001; | |
| 161 | } | ||
| 162 | } | ||
| 163 | |||
| 164 | return values; | ||
| 165 | } | ||
| 166 | |||
| 167 | // \} | ||
| 168 | |||
| 169 | /*! | ||
| 170 | * \name Volume terms | ||
| 171 | */ | ||
| 172 | // \{ | ||
| 173 | |||
| 174 | /*! | ||
| 175 | * \brief Evaluates the initial value for a control volume. | ||
| 176 | * | ||
| 177 | * \param globalPos The position for which the initial condition should be evaluated | ||
| 178 | * | ||
| 179 | * For this method, the \a values parameter stores primary | ||
| 180 | * variables. | ||
| 181 | */ | ||
| 182 | PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const | ||
| 183 | { | ||
| 184 | 1061 | PrimaryVariables values(0.0); | |
| 185 | 1061 | initial_(values, globalPos); | |
| 186 | return values; | ||
| 187 | } | ||
| 188 | |||
| 189 | private: | ||
| 190 | // internal method for the initial condition (reused for the | ||
| 191 | // dirichlet conditions!) | ||
| 192 | 2021 | void initial_(PrimaryVariables &values, | |
| 193 | const GlobalPosition &globalPos) const | ||
| 194 | { | ||
| 195 |
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2021 | const Scalar y = globalPos[1]; |
| 196 |
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2021 | const Scalar x = globalPos[0]; |
| 197 | 2021 | Scalar sw, swr=0.12, sgr=0.03; | |
| 198 | |||
| 199 |
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2021 | if (y > (-1e-3*x + 5) - eps_) |
| 200 | { | ||
| 201 | 1084 | Scalar pc = 9.81 * 1000.0 * (y - (-5e-4*x + 5)); | |
| 202 |
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1084 | if (pc < 0.0) pc = 0.0; |
| 203 | |||
| 204 | 1084 | sw = invertPcgw_(pc, | |
| 205 | 2168 | this->spatialParams().fluidMatrixInteractionAtPos(globalPos)); | |
| 206 |
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1084 | if (sw < swr) sw = swr; |
| 207 |
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1084 | if (sw > 1.-sgr) sw = 1.-sgr; |
| 208 | |||
| 209 | 1084 | values[pressureIdx] = 1e5 ; | |
| 210 | 1084 | values[swIdx] = sw; | |
| 211 | 2168 | values[snIdx] = 0.; | |
| 212 | } | ||
| 213 | else | ||
| 214 | { | ||
| 215 | 937 | values[pressureIdx] = 1e5 + 9.81 * 1000.0 * ((-5e-4*x + 5) - y); | |
| 216 | 937 | values[swIdx] = 1.-sgr; | |
| 217 | 1874 | values[snIdx] = 0.; | |
| 218 | } | ||
| 219 | 2021 | } | |
| 220 | |||
| 221 | // small solver inverting the pc curve | ||
| 222 | template<class FMInteraction> | ||
| 223 | 1084 | static Scalar invertPcgw_(Scalar pcIn, const FMInteraction& fluidMatrixInteraction) | |
| 224 | { | ||
| 225 | Scalar lower,upper; | ||
| 226 | int k; | ||
| 227 | 1084 | int maxIt = 50; | |
| 228 | 1084 | Scalar bisLimit = 1.; | |
| 229 | Scalar sw, pcgw; | ||
| 230 | 1084 | lower=0.0; upper=1.0; | |
| 231 |
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17345 | for (k=1; k<=25; k++) |
| 232 | { | ||
| 233 | 17345 | sw = 0.5*(upper+lower); | |
| 234 | 17345 | pcgw = fluidMatrixInteraction.pcgw(sw, 0.0); | |
| 235 | 17345 | Scalar delta = pcgw-pcIn; | |
| 236 |
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17345 | if (delta<0.) delta*=-1.; |
| 237 |
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17345 | if (delta<bisLimit) |
| 238 | { | ||
| 239 | 1084 | return(sw); | |
| 240 | } | ||
| 241 | if (k==maxIt) { | ||
| 242 | return(sw); | ||
| 243 | } | ||
| 244 |
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16261 | if (pcgw>pcIn) lower=sw; |
| 245 | 9026 | else upper=sw; | |
| 246 | } | ||
| 247 | return(sw); | ||
| 248 | } | ||
| 249 | |||
| 250 | static constexpr Scalar eps_ = 1e-6; | ||
| 251 | std::string name_; | ||
| 252 | Scalar time_; | ||
| 253 | }; | ||
| 254 | |||
| 255 | } // end namespace Dumux | ||
| 256 | |||
| 257 | #endif | ||
| 258 |