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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 | #ifndef DUMUX_EXAMPLE_TWOP_INFILTRATION_PROBLEM_HH | ||
| 9 | #define DUMUX_EXAMPLE_TWOP_INFILTRATION_PROBLEM_HH | ||
| 10 | |||
| 11 | // ## The file `problem.hh` | ||
| 12 | // [[content]] | ||
| 13 | // | ||
| 14 | // ### Includes | ||
| 15 | // We start with includes for `PorousMediumFlowProblem`, `readFileToContainer`, | ||
| 16 | // `BoundaryTypes`, `GetPropType` and `NumEqVector` (used below). | ||
| 17 | #include <dumux/porousmediumflow/problem.hh> | ||
| 18 | #include <dumux/io/container.hh> | ||
| 19 | #include <dumux/common/boundarytypes.hh> | ||
| 20 | #include <dumux/common/properties.hh> | ||
| 21 | #include <dumux/common/numeqvector.hh> | ||
| 22 | |||
| 23 | // ### Problem class | ||
| 24 | // The problem class `PointSourceProblem` implements boundary and initial conditions. | ||
| 25 | // It derives from the `PorousMediumFlowProblem` class. | ||
| 26 | namespace Dumux { | ||
| 27 | |||
| 28 | template <class TypeTag> | ||
| 29 | class PointSourceProblem : public PorousMediumFlowProblem<TypeTag> | ||
| 30 | { | ||
| 31 | // The class implementation starts with some alias declarations and index definitions for convenience | ||
| 32 | // [[details]] local alias declarations and indices | ||
| 33 | using ParentType = PorousMediumFlowProblem<TypeTag>; | ||
| 34 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
| 35 | using GridView = typename GridGeometry::GridView; | ||
| 36 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 37 | using Vertex = typename GridView::template Codim<GridView::dimensionworld>::Entity; | ||
| 38 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 39 | using FluidSystem = GetPropType<TypeTag, Properties::FluidSystem>; | ||
| 40 | using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>; | ||
| 41 | using PointSource = GetPropType<TypeTag, Properties::PointSource>; | ||
| 42 | using BoundaryTypes = Dumux::BoundaryTypes<PrimaryVariables::size()>; | ||
| 43 | using GlobalPosition = typename Element::Geometry::GlobalCoordinate; | ||
| 44 | using NumEqVector = Dumux::NumEqVector<PrimaryVariables>; | ||
| 45 | using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices; | ||
| 46 | |||
| 47 | enum { | ||
| 48 | pressureH2OIdx = Indices::pressureIdx, | ||
| 49 | saturationDNAPLIdx = Indices::saturationIdx, | ||
| 50 | contiDNAPLEqIdx = Indices::conti0EqIdx + FluidSystem::comp1Idx, | ||
| 51 | waterPhaseIdx = FluidSystem::phase0Idx, | ||
| 52 | dnaplPhaseIdx = FluidSystem::phase1Idx | ||
| 53 | }; | ||
| 54 | // [[/details]] | ||
| 55 | // | ||
| 56 | // In the constructor of the class, we call the parent type's constructor | ||
| 57 | // and read the initial values for the primary variables from a text file. | ||
| 58 | // The function `readFileToContainer` is implemented in the header `dumux/io/container.hh`. | ||
| 59 | public: | ||
| 60 | 1 | PointSourceProblem(std::shared_ptr<const GridGeometry> gridGeometry) | |
| 61 |
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3 | : ParentType(gridGeometry) |
| 62 | { | ||
| 63 |
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3 | initialValues_ = readFileToContainer<std::vector<PrimaryVariables>>("initialsolutioncc.txt"); |
| 64 | 1 | } | |
| 65 | |||
| 66 | // #### Boundary types | ||
| 67 | // We define the type of boundary conditions depending on the location. Two types of boundary conditions | ||
| 68 | // can be specified: Dirichlet or Neumann boundary conditions. On a Dirichlet boundary, the values of the | ||
| 69 | // primary variables need to be fixed. On a Neumann boundary condition, values for derivatives need to be fixed. | ||
| 70 | // Depending on the chosen discretization scheme, mixed boundary conditions (different types for different equations | ||
| 71 | // on the same boundary) may not be accepted. | ||
| 72 | // [[codeblock]] | ||
| 73 | 33924 | BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const | |
| 74 | { | ||
| 75 | 33924 | BoundaryTypes values; | |
| 76 | // Dirichlet boundaries on the left and right hand side of the domain | ||
| 77 | 124688 | if (onLeftBoundary_(globalPos) || onRightBoundary_(globalPos)) | |
| 78 | values.setAllDirichlet(); | ||
| 79 | // and Neumann boundaries otherwise (top and bottom of the domain) | ||
| 80 | else | ||
| 81 | values.setAllNeumann(); | ||
| 82 | 33924 | return values; | |
| 83 | } | ||
| 84 | // [[/codeblock]] | ||
| 85 | |||
| 86 | // #### Dirichlet boundaries | ||
| 87 | // We specify the values for the Dirichlet boundaries, depending on location. | ||
| 88 | // We need to fix values for the two primary variables: the water pressure | ||
| 89 | // and the DNAPL saturation. | ||
| 90 | // [[codeblock]] | ||
| 91 | 2880 | PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const | |
| 92 | { | ||
| 93 | // To determine the density of water for a given state, we build a fluid state with the given conditions: | ||
| 94 | 2880 | PrimaryVariables values; | |
| 95 | 2880 | GetPropType<TypeTag, Properties::FluidState> fluidState; | |
| 96 | 5760 | fluidState.setTemperature(this->spatialParams().temperatureAtPos({})); | |
| 97 | 5760 | fluidState.setPressure(waterPhaseIdx, /*pressure=*/1e5); | |
| 98 | 5760 | fluidState.setPressure(dnaplPhaseIdx, /*pressure=*/1e5); | |
| 99 | |||
| 100 | // The density is then calculated by the fluid system: | ||
| 101 | 5760 | const Scalar densityW = FluidSystem::density(fluidState, waterPhaseIdx); | |
| 102 | |||
| 103 | // The water phase pressure is the hydrostatic pressure, scaled with a factor: | ||
| 104 | 20160 | const Scalar height = this->gridGeometry().bBoxMax()[1] - this->gridGeometry().bBoxMin()[1]; | |
| 105 | 14400 | const Scalar depth = this->gridGeometry().bBoxMax()[1] - globalPos[1]; | |
| 106 | 2880 | const Scalar alpha = 1 + 1.5/height; | |
| 107 | 20160 | const Scalar width = this->gridGeometry().bBoxMax()[0] - this->gridGeometry().bBoxMin()[0]; | |
| 108 | 5760 | const Scalar factor = (width*alpha + (1.0 - alpha)*globalPos[0])/width; | |
| 109 | |||
| 110 | 14400 | values[pressureH2OIdx] = 1e5 - factor*densityW*this->spatialParams().gravity(globalPos)[1]*depth; | |
| 111 | // The saturation of the DNAPL Trichlorethene is zero on our Dirichlet boundary: | ||
| 112 | 5760 | values[saturationDNAPLIdx] = 0.0; | |
| 113 | |||
| 114 | 2880 | return values; | |
| 115 | } | ||
| 116 | // [[/codeblock]] | ||
| 117 | |||
| 118 | // #### Neumann boundaries | ||
| 119 | // In our case, we need to specify mass fluxes for our two liquid phases. | ||
| 120 | // Negative sign means influx and the unit of the boundary flux is $\mathrm{kg}/\mathrm{(m^2 s)}$. | ||
| 121 | // On the inlet area, we set a DNAPL influx of $0.04 \, \mathrm{kg}/\mathrm{(m^2 s)}$. On all other | ||
| 122 | // Neumann boundaries, the boundary flux is zero. | ||
| 123 | // [[codeblock]] | ||
| 124 | 17259 | NumEqVector neumannAtPos(const GlobalPosition &globalPos) const | |
| 125 | { | ||
| 126 | 17259 | NumEqVector values(0.0); | |
| 127 | 20995 | if (onInlet_(globalPos)) | |
| 128 | 7472 | values[contiDNAPLEqIdx] = -0.04; | |
| 129 | |||
| 130 | 17259 | return values; | |
| 131 | } | ||
| 132 | // [[/codeblock]] | ||
| 133 | |||
| 134 | // #### Initial conditions | ||
| 135 | // The initial condition needs to be set for all primary variables. | ||
| 136 | // Here, we take the data from the file that we read in previously. | ||
| 137 | // [[codeblock]] | ||
| 138 | 6144 | PrimaryVariables initial(const Element& element) const | |
| 139 | { | ||
| 140 | // The input data is written for a uniform grid with discretization length delta. | ||
| 141 | // Accordingly, we need to find the index of our cells, depending on the x and y coordinates, | ||
| 142 | // that corresponds to the indices of the input data set. | ||
| 143 | 6144 | const auto delta = 0.0625; | |
| 144 | 18432 | const unsigned int cellsX = this->gridGeometry().bBoxMax()[0]/delta; | |
| 145 |
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6144 | const auto globalPos = element.geometry().center(); |
| 146 | |||
| 147 | 12288 | const unsigned int dataIdx = std::trunc(globalPos[1]/delta) * cellsX + std::trunc(globalPos[0]/delta); | |
| 148 | 12288 | return initialValues_[dataIdx]; | |
| 149 | } | ||
| 150 | // [[/codeblock]] | ||
| 151 | |||
| 152 | // #### Point source | ||
| 153 | // In this scenario, we set a point source (e.g. modeling a well). The point source value can be solution dependent. | ||
| 154 | // Point sources are added by pushing them into the vector `pointSources`. | ||
| 155 | // The `PointSource` constructor takes two arguments. | ||
| 156 | // The first argument is a coordinate array containing the position in space, | ||
| 157 | // the second argument is an array of source values for each equation (in units of $`\mathrm{kg}/\mathrm{s}`$). | ||
| 158 | // Recall that the first equation is the water phase mass balance | ||
| 159 | // and the second equation is the DNAPL phase mass balance. | ||
| 160 | void addPointSources(std::vector<PointSource>& pointSources) const | ||
| 161 | { | ||
| 162 |
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32 | pointSources.push_back(PointSource({0.502, 3.02}, {0, 0.1})); |
| 163 | } | ||
| 164 | |||
| 165 | // In the private part of the class, we define some helper functions for | ||
| 166 | // the boundary conditions and local variables. | ||
| 167 | // [[details]] private data members and functions | ||
| 168 | private: | ||
| 169 | bool onLeftBoundary_(const GlobalPosition &globalPos) const | ||
| 170 |
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169620 | { return globalPos[0] < this->gridGeometry().bBoxMin()[0] + eps_; } |
| 171 | |||
| 172 | bool onRightBoundary_(const GlobalPosition &globalPos) const | ||
| 173 |
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142100 | { return globalPos[0] > this->gridGeometry().bBoxMax()[0] - eps_; } |
| 174 | |||
| 175 | bool onUpperBoundary_(const GlobalPosition &globalPos) const | ||
| 176 |
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51777 | { return globalPos[1] > this->gridGeometry().bBoxMax()[1] - eps_; } |
| 177 | |||
| 178 | bool onInlet_(const GlobalPosition &globalPos) const | ||
| 179 | { | ||
| 180 |
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103554 | Scalar width = this->gridGeometry().bBoxMax()[0] - this->gridGeometry().bBoxMin()[0]; |
| 181 |
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69036 | Scalar lambda = (this->gridGeometry().bBoxMax()[0] - globalPos[0])/width; |
| 182 |
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34518 | return onUpperBoundary_(globalPos) && 0.5 < lambda && lambda < 2.0/3.0; |
| 183 | } | ||
| 184 | |||
| 185 | static constexpr Scalar eps_ = 1e-6; | ||
| 186 | std::vector<PrimaryVariables> initialValues_; | ||
| 187 | }; | ||
| 188 | |||
| 189 | } // end namespace Dumux | ||
| 190 | // [[/details]] | ||
| 191 | // [[/content]] | ||
| 192 | #endif | ||
| 193 |