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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 OnePTests | ||
| 10 | * \brief The problem setup for the convergence test with analytic solution | ||
| 11 | */ | ||
| 12 | #ifndef DUMUX_CONVERGENCE_TEST_ONEP_PROBLEM_HH | ||
| 13 | #define DUMUX_CONVERGENCE_TEST_ONEP_PROBLEM_HH | ||
| 14 | |||
| 15 | #include <cmath> | ||
| 16 | #include <dune/common/fvector.hh> | ||
| 17 | |||
| 18 | #include <dumux/common/properties.hh> | ||
| 19 | #include <dumux/common/boundarytypes.hh> | ||
| 20 | #include <dumux/common/numeqvector.hh> | ||
| 21 | #include <dumux/porousmediumflow/problem.hh> | ||
| 22 | |||
| 23 | namespace Dumux { | ||
| 24 | |||
| 25 | /*! | ||
| 26 | * \ingroup OnePTests | ||
| 27 | * \brief The problem setup for the convergence test with analytic solution | ||
| 28 | */ | ||
| 29 | template <class TypeTag> | ||
| 30 | 20 | class ConvergenceProblem : public PorousMediumFlowProblem<TypeTag> | |
| 31 | { | ||
| 32 | using ParentType = PorousMediumFlowProblem<TypeTag>; | ||
| 33 | using GridView = typename GetPropType<TypeTag, Properties::GridGeometry>::GridView; | ||
| 34 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 35 | using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>; | ||
| 36 | using NumEqVector = Dumux::NumEqVector<PrimaryVariables>; | ||
| 37 | using BoundaryTypes = Dumux::BoundaryTypes<GetPropType<TypeTag, Properties::ModelTraits>::numEq()>; | ||
| 38 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
| 39 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 40 | using GlobalPosition = typename Element::Geometry::GlobalCoordinate; | ||
| 41 | |||
| 42 | static constexpr auto velocityXIdx = 0; | ||
| 43 | static constexpr auto velocityYIdx = 1; | ||
| 44 | static constexpr auto pressureIdx = 2; | ||
| 45 | |||
| 46 | public: | ||
| 47 | /*! | ||
| 48 | * \brief The constructor. | ||
| 49 | * \param gridGeometry The finite-volume grid geometry | ||
| 50 | */ | ||
| 51 | 20 | ConvergenceProblem(std::shared_ptr<const GridGeometry> gridGeometry) | |
| 52 | : ParentType(gridGeometry) | ||
| 53 |
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60 | , c_(getParam<Scalar>("Problem.C")) |
| 54 | 20 | {} | |
| 55 | |||
| 56 | /*! | ||
| 57 | * \name Problem parameters | ||
| 58 | */ | ||
| 59 | // \{ | ||
| 60 | |||
| 61 | /*! | ||
| 62 | * \name Boundary conditions | ||
| 63 | */ | ||
| 64 | // \{ | ||
| 65 | |||
| 66 | /*! | ||
| 67 | * \brief Specifies which kind of boundary condition should be | ||
| 68 | * used for which equation on a given boundary control volume. | ||
| 69 | * | ||
| 70 | * \param globalPos The position of the center of the finite volume | ||
| 71 | */ | ||
| 72 | ✗ | BoundaryTypes boundaryTypesAtPos(const GlobalPosition& globalPos) const | |
| 73 | { | ||
| 74 |
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96952 | BoundaryTypes values; |
| 75 |
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96952 | values.setAllDirichlet(); |
| 76 | ✗ | return values; | |
| 77 | } | ||
| 78 | |||
| 79 | /*! | ||
| 80 | * \brief Evaluates Dirichlet boundary conditions. | ||
| 81 | * \param globalPos The center of the finite volume which ought to be set. | ||
| 82 | */ | ||
| 83 | PrimaryVariables dirichletAtPos(const GlobalPosition& globalPos) const | ||
| 84 | { | ||
| 85 |
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55048 | const auto p = analyticalSolution(globalPos)[pressureIdx]; |
| 86 |
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55048 | return PrimaryVariables(p); |
| 87 | } | ||
| 88 | |||
| 89 | // \} | ||
| 90 | |||
| 91 | /*! | ||
| 92 | * \name Volume terms | ||
| 93 | */ | ||
| 94 | // \{ | ||
| 95 | |||
| 96 | /*! | ||
| 97 | * \brief Evaluates the source term for all phases within a given | ||
| 98 | * sub-control volume. | ||
| 99 | * | ||
| 100 | * For this method, the \a priVars parameter stores the rate mass | ||
| 101 | * of a component is generated or annihilated per volume | ||
| 102 | * unit. Positive values mean that mass is created, negative ones | ||
| 103 | * mean that it vanishes. | ||
| 104 | * | ||
| 105 | * The units must be according to either using mole or mass fractions (mole/(m^3*s) or kg/(m^3*s)). | ||
| 106 | */ | ||
| 107 | 971040 | NumEqVector sourceAtPos(const GlobalPosition& globalPos) const | |
| 108 | { | ||
| 109 | 1942080 | const Scalar x = globalPos[0]; | |
| 110 | 1942080 | const Scalar y = globalPos[1]; | |
| 111 | using std::exp; | ||
| 112 | using std::sin; | ||
| 113 | using std::cos; | ||
| 114 | 971040 | const Scalar cosOmegaX = cos(omega_*x); | |
| 115 | static const Scalar expTwo = exp(2); | ||
| 116 | 971040 | const Scalar expYPlusOne = exp(y+1); | |
| 117 | |||
| 118 | 1942080 | const Scalar result = ( -(c_*cosOmegaX + 1)*exp(y - 1) | |
| 119 | 971040 | + 1.5*c_*expYPlusOne*cosOmegaX | |
| 120 | 971040 | + omega_*omega_*(expYPlusOne - expTwo + 2)) | |
| 121 | 971040 | * sin(omega_*x); | |
| 122 | |||
| 123 | 971040 | return NumEqVector(result); | |
| 124 | } | ||
| 125 | |||
| 126 | // \} | ||
| 127 | |||
| 128 | /*! | ||
| 129 | * \brief Evaluates the initial value for a control volume. | ||
| 130 | * \param globalPos The position for which the initial condition should be evaluated | ||
| 131 | */ | ||
| 132 | PrimaryVariables initialAtPos(const GlobalPosition& globalPos) const | ||
| 133 | { return PrimaryVariables(0.0); } | ||
| 134 | |||
| 135 | /*! | ||
| 136 | * \brief Returns the analytical solution of the problem at a given position. | ||
| 137 | * \param globalPos The global position | ||
| 138 | */ | ||
| 139 | 133248 | auto analyticalSolution(const GlobalPosition& globalPos) const | |
| 140 | { | ||
| 141 | 133248 | Dune::FieldVector<Scalar, 3> sol(0.0); | |
| 142 | 266496 | const Scalar x = globalPos[0]; | |
| 143 | 266496 | const Scalar y = globalPos[1]; | |
| 144 | using std::exp; using std::sin; using std::cos; | ||
| 145 | 133248 | const Scalar sinOmegaX = sin(omega_*x); | |
| 146 | 133248 | const Scalar cosOmegaX = cos(omega_*x); | |
| 147 | static const Scalar expTwo = exp(2); | ||
| 148 | 133248 | const Scalar expYPlusOne = exp(y+1); | |
| 149 | |||
| 150 | 266496 | sol[pressureIdx] = (expYPlusOne + 2 - expTwo)*sinOmegaX + 10.0; | |
| 151 | 399744 | sol[velocityXIdx] = c_/(2*omega_)*expYPlusOne*sinOmegaX*sinOmegaX | |
| 152 | 133248 | -omega_*(expYPlusOne + 2 - expTwo)*cosOmegaX; | |
| 153 | 399744 | sol[velocityYIdx] = (0.5*c_*(expYPlusOne + 2 - expTwo)*cosOmegaX | |
| 154 | 133248 | -(c_*cosOmegaX + 1)*exp(y-1))*sinOmegaX; | |
| 155 | |||
| 156 | 133248 | return sol; | |
| 157 | } | ||
| 158 | |||
| 159 | private: | ||
| 160 | static constexpr Scalar eps_ = 1e-7; | ||
| 161 | static constexpr Scalar omega_ = M_PI; | ||
| 162 | Scalar c_; | ||
| 163 | }; | ||
| 164 | |||
| 165 | } // end namespace Dumux | ||
| 166 | |||
| 167 | #endif | ||
| 168 |