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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 ShallowWaterTests | ||
| 10 | * \brief A test for the Shallow water model (wet dam break). | ||
| 11 | */ | ||
| 12 | #ifndef DUMUX_DAM_BREAK_TEST_PROBLEM_HH | ||
| 13 | #define DUMUX_DAM_BREAK_TEST_PROBLEM_HH | ||
| 14 | |||
| 15 | #include <dumux/common/boundarytypes.hh> | ||
| 16 | #include <dumux/common/parameters.hh> | ||
| 17 | #include <dumux/common/properties.hh> | ||
| 18 | #include <dumux/common/numeqvector.hh> | ||
| 19 | |||
| 20 | #include <dumux/freeflow/shallowwater/problem.hh> | ||
| 21 | #include <dumux/flux/shallowwater/riemannproblem.hh> | ||
| 22 | #include <dumux/flux/shallowwater/exactriemann.hh> | ||
| 23 | |||
| 24 | namespace Dumux { | ||
| 25 | |||
| 26 | /*! | ||
| 27 | * \ingroup Shallow water equations model | ||
| 28 | * \ingroup ImplicitTestProblems | ||
| 29 | * | ||
| 30 | * \brief A simple dam break test (1D wet dam break). | ||
| 31 | * | ||
| 32 | * The domain is a long rectangle with a gate in the middle. On the left | ||
| 33 | * side the water depth is larger than on the right side. | ||
| 34 | * All boundaries are set to no-flow. | ||
| 35 | * | ||
| 36 | * This problem uses the \ref ShallowWaterModel. | ||
| 37 | * | ||
| 38 | */ | ||
| 39 | template <class TypeTag> | ||
| 40 | class DamBreakProblem : public ShallowWaterProblem<TypeTag> | ||
| 41 | { | ||
| 42 | using ParentType = ShallowWaterProblem<TypeTag>; | ||
| 43 | using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>; | ||
| 44 | using BoundaryTypes = Dumux::BoundaryTypes<GetPropType<TypeTag, Properties::ModelTraits>::numEq()>; | ||
| 45 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 46 | using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices; | ||
| 47 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
| 48 | using NeumannFluxes = Dumux::NumEqVector<PrimaryVariables>; | ||
| 49 | |||
| 50 | using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; | ||
| 51 | using ElementVolumeVariables = typename GridVariables::GridVolumeVariables::LocalView; | ||
| 52 | using ElementFluxVariablesCache = typename GridVariables::GridFluxVariablesCache::LocalView; | ||
| 53 | using FVElementGeometry = typename GetPropType<TypeTag, Properties::GridGeometry>::LocalView; | ||
| 54 | using SubControlVolumeFace = typename FVElementGeometry::SubControlVolumeFace; | ||
| 55 | using GridView = typename GetPropType<TypeTag, Properties::GridGeometry>::GridView; | ||
| 56 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 57 | using GlobalPosition = typename Element::Geometry::GlobalCoordinate; | ||
| 58 | |||
| 59 | public: | ||
| 60 | 3 | DamBreakProblem(std::shared_ptr<const GridGeometry> gridGeometry) | |
| 61 |
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9 | : ParentType(gridGeometry) |
| 62 | { | ||
| 63 |
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3 | name_ = getParam<std::string>("Problem.Name"); |
| 64 |
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6 | exactWaterDepth_.resize(gridGeometry->numDofs(), 0.0); |
| 65 |
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6 | exactVelocityX_.resize(gridGeometry->numDofs(), 0.0); |
| 66 | 3 | } | |
| 67 | |||
| 68 | //! Get the analytical water depth | ||
| 69 | const std::vector<Scalar>& getExactWaterDepth() | ||
| 70 | { | ||
| 71 |
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3 | return exactWaterDepth_; |
| 72 | } | ||
| 73 | |||
| 74 | //! Get the analytical velocity | ||
| 75 | const std::vector<Scalar>& getExactVelocityX() | ||
| 76 | { | ||
| 77 |
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3 | return exactVelocityX_; |
| 78 | } | ||
| 79 | |||
| 80 | //! Update the analytical solution | ||
| 81 | template<class SolutionVector, class GridVariables> | ||
| 82 | 603 | void updateAnalyticalSolution(const SolutionVector& curSol, | |
| 83 | const GridVariables& gridVariables, | ||
| 84 | const Scalar time) | ||
| 85 | { | ||
| 86 | //compute solution for all elements | ||
| 87 |
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1206 | auto fvGeometry = localView(this->gridGeometry()); |
| 88 |
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1206 | auto elemVolVars = localView(gridVariables.curGridVolVars()); |
| 89 |
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2032512 | for (const auto& element : elements(this->gridGeometry().gridView())) |
| 90 | { | ||
| 91 | 1015050 | fvGeometry.bindElement(element); | |
| 92 |
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1015050 | elemVolVars.bindElement(element, fvGeometry, curSol); |
| 93 | |||
| 94 | 1015050 | const auto& globalPos = element.geometry().center(); | |
| 95 | |||
| 96 | //compute the position s and the initial water depth at the gate, velocities are zero | ||
| 97 | 1015050 | const Scalar s = (globalPos[0] - gatePosition_)/time; | |
| 98 | 1015050 | const Scalar waterDepthLeft = initialWaterDepthLeft_; | |
| 99 | 1015050 | const Scalar waterDepthRight = initialWaterDepthRight_; | |
| 100 | 1015050 | const auto gravity = this->spatialParams().gravity(globalPos); | |
| 101 | |||
| 102 | 1015050 | auto riemannResult = ShallowWater::exactRiemann(waterDepthLeft, | |
| 103 | waterDepthRight, | ||
| 104 | 0.0, | ||
| 105 | 0.0, | ||
| 106 | 0.0, | ||
| 107 | 0.0, | ||
| 108 | gravity, | ||
| 109 | s); | ||
| 110 | |||
| 111 | 3045150 | const auto eIdx = this->gridGeometry().elementMapper().index(element); | |
| 112 | 1015050 | exactWaterDepth_[eIdx] = riemannResult.waterDepth; | |
| 113 | 2030100 | exactVelocityX_[eIdx] = riemannResult.velocityX; | |
| 114 | } | ||
| 115 | 603 | } | |
| 116 | |||
| 117 | /*! | ||
| 118 | * \name Problem parameters | ||
| 119 | */ | ||
| 120 | // \{ | ||
| 121 | |||
| 122 | /*! | ||
| 123 | * \brief The problem name | ||
| 124 | * | ||
| 125 | * This is used as a prefix for files generated by the simulation. | ||
| 126 | */ | ||
| 127 | const std::string& name() const | ||
| 128 |
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3 | { return name_; } |
| 129 | |||
| 130 | |||
| 131 | // \} | ||
| 132 | |||
| 133 | /*! | ||
| 134 | * \name Boundary conditions | ||
| 135 | */ | ||
| 136 | // \{ | ||
| 137 | |||
| 138 | /*! | ||
| 139 | * \brief Specifies which kind of boundary condition should be | ||
| 140 | * used for which equation on a given boundary segment. | ||
| 141 | * | ||
| 142 | * \param globalPos The position for which the boundary type is set | ||
| 143 | */ | ||
| 144 | ✗ | BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const | |
| 145 | { | ||
| 146 | 1446210 | BoundaryTypes bcTypes; | |
| 147 |
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1446210 | bcTypes.setAllNeumann(); |
| 148 | ✗ | return bcTypes; | |
| 149 | } | ||
| 150 | |||
| 151 | /*! | ||
| 152 | * \brief Specifies the neumann boundary | ||
| 153 | * \param element | ||
| 154 | * \param fvGeometry | ||
| 155 | * \param elemVolVars | ||
| 156 | * \param elemFluxVarsCache | ||
| 157 | * \param scvf | ||
| 158 | */ | ||
| 159 | 1042506 | NeumannFluxes neumann(const Element& element, | |
| 160 | const FVElementGeometry& fvGeometry, | ||
| 161 | const ElementVolumeVariables& elemVolVars, | ||
| 162 | const ElementFluxVariablesCache& elemFluxVarsCache, | ||
| 163 | const SubControlVolumeFace& scvf) const | ||
| 164 | { | ||
| 165 | 1042506 | NeumannFluxes values(0.0); | |
| 166 | |||
| 167 | // we need the Riemann invariants to compute the values depending of the boundary type | ||
| 168 | // since we use a weak imposition we do not have a dirichlet value. We impose fluxes | ||
| 169 | // based on q,h, etc. computed with the Riemann invariants | ||
| 170 | 2085012 | const auto& insideScv = fvGeometry.scv(scvf.insideScvIdx()); | |
| 171 | 1042506 | const auto& insideVolVars = elemVolVars[insideScv]; | |
| 172 | 1042506 | const auto& nxy = scvf.unitOuterNormal(); | |
| 173 | 2085012 | const auto gravity = this->spatialParams().gravity(scvf.center()); | |
| 174 | |||
| 175 | 3127518 | auto riemannFlux = ShallowWater::riemannProblem(insideVolVars.waterDepth(), | |
| 176 | insideVolVars.waterDepth(), | ||
| 177 | insideVolVars.velocity(0), | ||
| 178 | 2085012 | -insideVolVars.velocity(0), | |
| 179 | insideVolVars.velocity(1), | ||
| 180 | 2085012 | -insideVolVars.velocity(1), | |
| 181 | insideVolVars.bedSurface(), | ||
| 182 | insideVolVars.bedSurface(), | ||
| 183 | gravity, | ||
| 184 | nxy); | ||
| 185 | |||
| 186 | 2085012 | values[Indices::massBalanceIdx] = riemannFlux[0]; | |
| 187 | 3127518 | values[Indices::velocityXIdx] = riemannFlux[1]; | |
| 188 | 3127518 | values[Indices::velocityYIdx] = riemannFlux[2]; | |
| 189 | |||
| 190 | 1042506 | return values; | |
| 191 | } | ||
| 192 | |||
| 193 | // \} | ||
| 194 | |||
| 195 | /*! | ||
| 196 | * \name Volume terms | ||
| 197 | */ | ||
| 198 | // \{ | ||
| 199 | |||
| 200 | /*! | ||
| 201 | * \brief Evaluate the initial values for a control volume. | ||
| 202 | * | ||
| 203 | * For this method, the \a values parameter stores primary | ||
| 204 | * variables. | ||
| 205 | * | ||
| 206 | * \param globalPos The position for which the boundary type is set | ||
| 207 | */ | ||
| 208 | ✗ | PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const | |
| 209 | { | ||
| 210 | |||
| 211 | ✗ | PrimaryVariables values(0.0); | |
| 212 | |||
| 213 | ✗ | values[0] = initialWaterDepthRight_; | |
| 214 | ✗ | values[1] = 0.0; | |
| 215 | ✗ | values[2] = 0.0; | |
| 216 | |||
| 217 | // water level on the left side of the gate | ||
| 218 | ✗ | if (globalPos[0] < 10.0 + eps_) | |
| 219 | { | ||
| 220 | ✗ | values[0] = initialWaterDepthLeft_; | |
| 221 | } | ||
| 222 | |||
| 223 | //water level on the right side of the gate | ||
| 224 | else | ||
| 225 | { | ||
| 226 | values[0] = initialWaterDepthRight_; | ||
| 227 | } | ||
| 228 | |||
| 229 | ✗ | return values; | |
| 230 | }; | ||
| 231 | |||
| 232 | // \} | ||
| 233 | |||
| 234 | private: | ||
| 235 | |||
| 236 | std::vector<Scalar> exactWaterDepth_; | ||
| 237 | std::vector<Scalar> exactVelocityX_; | ||
| 238 | |||
| 239 | static constexpr Scalar initialWaterDepthLeft_ = 4.0; | ||
| 240 | static constexpr Scalar initialWaterDepthRight_ = 1.0; | ||
| 241 | static constexpr Scalar channelLenght_ = 20.0; | ||
| 242 | static constexpr Scalar gatePosition_ = 10.0; | ||
| 243 | |||
| 244 | static constexpr Scalar eps_ = 1.0e-6; | ||
| 245 | std::string name_; | ||
| 246 | }; | ||
| 247 | |||
| 248 | } //end namespace Dumux | ||
| 249 | |||
| 250 | #endif | ||
| 251 |