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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 | // ## The main file (`main.cc`) | ||
| 9 | // [[content]] | ||
| 10 | // | ||
| 11 | // ### Included header files | ||
| 12 | // [[details]] includes | ||
| 13 | // [[exclude]] | ||
| 14 | // Some generic includes. | ||
| 15 | #include <config.h> | ||
| 16 | #include <iostream> | ||
| 17 | #include <dune/common/timer.hh> | ||
| 18 | #include <dumux/common/dumuxmessage.hh> | ||
| 19 | // [[/exclude]] | ||
| 20 | |||
| 21 | // These is DUNE helper class related to parallel computation | ||
| 22 | #include <dune/common/parallel/mpihelper.hh> | ||
| 23 | |||
| 24 | // The following headers include functionality related to property definition or retrieval, as well as | ||
| 25 | // the retrieval of input parameters specified in the input file or via the command line. | ||
| 26 | #include <dumux/common/parameters.hh> | ||
| 27 | #include <dumux/common/properties.hh> | ||
| 28 | #include <dumux/common/initialize.hh> | ||
| 29 | |||
| 30 | // The following files contain the multi-domain Newton solver, the available linear solver backends and the assembler for the linear | ||
| 31 | // systems arising from the staggered-grid discretization. | ||
| 32 | #include <dumux/linear/istlsolvers.hh> | ||
| 33 | #include <dumux/linear/linearalgebratraits.hh> | ||
| 34 | #include <dumux/linear/linearsolvertraits.hh> | ||
| 35 | #include <dumux/multidomain/fvassembler.hh> | ||
| 36 | #include <dumux/multidomain/traits.hh> | ||
| 37 | #include <dumux/multidomain/newtonsolver.hh> | ||
| 38 | |||
| 39 | // The gridmanager constructs a grid from the information in the input or grid file. | ||
| 40 | // Many different Dune grid implementations are supported, of which a list can be found | ||
| 41 | // in `gridmanager.hh`. | ||
| 42 | #include <dumux/io/grid/gridmanager_yasp.hh> | ||
| 43 | |||
| 44 | // This class contains functionality for VTK output for models using the staggered finite volume scheme. | ||
| 45 | #include <dumux/io/vtkoutputmodule.hh> | ||
| 46 | #include <dumux/freeflow/navierstokes/velocityoutput.hh> | ||
| 47 | |||
| 48 | // We include the problem header used for this simulation. | ||
| 49 | #include "properties.hh" | ||
| 50 | // [[/details]] | ||
| 51 | |||
| 52 | // The following function writes the velocities and coordinates at x = 0.5 and y = 0.5 into a log file. | ||
| 53 | // [[codeblock]] | ||
| 54 | template<class Problem, class SolutionVector> | ||
| 55 | 2 | void writeSteadyVelocityAndCoordinates(const Problem& problem, const SolutionVector& sol) | |
| 56 | { | ||
| 57 | 2 | const auto& gridGeometry = problem.gridGeometry(); | |
| 58 |
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8 | std::ofstream logFilevx(problem.name() + "_vx.log"), logFilevy(problem.name() + "_vy.log"); |
| 59 |
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2 | logFilevx << "y vx\n"; |
| 60 |
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2 | logFilevy << "x vy\n"; |
| 61 | |||
| 62 | static constexpr double eps_ = 1.0e-7; | ||
| 63 |
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6 | std::vector<int> dofHandled(gridGeometry.numDofs(), false); |
| 64 |
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16390 | for (const auto& element : elements(gridGeometry.gridView())) |
| 65 | { | ||
| 66 | 8192 | auto fvGeometry = localView(gridGeometry); | |
| 67 | 8192 | fvGeometry.bind(element); | |
| 68 |
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40960 | for (const auto& scv : scvs(fvGeometry)) |
| 69 | { | ||
| 70 |
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65536 | if (dofHandled[scv.dofIndex()]) |
| 71 | continue; | ||
| 72 | |||
| 73 |
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16640 | if (!scv.boundary()) |
| 74 | { | ||
| 75 |
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16128 | const auto& globalPos = scv.dofPosition(); |
| 76 |
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16128 | const auto velocity = sol[scv.dofIndex()][0]; |
| 77 | 16128 | dofHandled[scv.dofIndex()] = true; | |
| 78 | |||
| 79 |
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48384 | if (std::abs(globalPos[0]-0.5) < eps_) |
| 80 |
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384 | logFilevx << globalPos[1] << " " << velocity << "\n"; |
| 81 |
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48000 | else if (std::abs(globalPos[1]-0.5) < eps_) |
| 82 |
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384 | logFilevy << globalPos[0] << " " << velocity << "\n"; |
| 83 | } | ||
| 84 | } | ||
| 85 | } | ||
| 86 | 2 | } | |
| 87 | // [[/codeblock]] | ||
| 88 | |||
| 89 | // ### The main function | ||
| 90 | // We will now discuss the main program flow implemented within the `main` function. | ||
| 91 | // At the beginning of each program using Dune, an instance of `Dune::MPIHelper` has to | ||
| 92 | // be created. Moreover, we parse the run-time arguments from the command line and the | ||
| 93 | // input file: | ||
| 94 | // [[codeblock]] | ||
| 95 | 2 | int main(int argc, char** argv) | |
| 96 | { | ||
| 97 | 2 | using namespace Dumux; | |
| 98 | |||
| 99 | // maybe initialize MPI and/or multithreading backend | ||
| 100 | 2 | Dumux::initialize(argc, argv); | |
| 101 | 2 | const auto& mpiHelper = Dune::MPIHelper::instance(); | |
| 102 | |||
| 103 | // parse command line arguments and input file | ||
| 104 |
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12 | Parameters::init(argc, argv); |
| 105 | // [[/codeblock]] | ||
| 106 | |||
| 107 | // We define a convenience alias for the type tags of the problems. The type | ||
| 108 | // tag contains all the properties that are needed to define the model and the problem | ||
| 109 | // setup. Throughout the main file, we will obtain types defined each type tag | ||
| 110 | // using the property system, i.e. with `GetPropType`. | ||
| 111 | 2 | using MomentumTypeTag = Properties::TTag::LidDrivenCavityExampleMomentum; | |
| 112 | 2 | using MassTypeTag = Properties::TTag::LidDrivenCavityExampleMass; | |
| 113 | |||
| 114 | // #### Step 1: Create the grid | ||
| 115 | // The `GridManager` class creates the grid from information given in the input file. | ||
| 116 | // This can either be a grid file, or in the case of structured grids, one can specify the coordinates | ||
| 117 | // of the corners of the grid and the number of cells to be used to discretize each spatial direction. | ||
| 118 | // [[codeblock]] | ||
| 119 | 4 | GridManager<GetPropType<MomentumTypeTag, Properties::Grid>> gridManager; | |
| 120 |
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4 | gridManager.init(); |
| 121 | |||
| 122 | // We compute on the leaf grid view. | ||
| 123 |
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2 | const auto& leafGridView = gridManager.grid().leafGridView(); |
| 124 | // [[/codeblock]] | ||
| 125 | |||
| 126 | // #### Step 2: Setting up and solving the problem | ||
| 127 | // First, a finite volume grid geometry is constructed from the grid that was created above. | ||
| 128 | // This builds the sub-control volumes (scv) and sub-control volume faces (scvf) for each element | ||
| 129 | // of the grid partition. | ||
| 130 | // This is done for both the momentum and mass grid geometries | ||
| 131 | 2 | using MomentumGridGeometry = GetPropType<MomentumTypeTag, Properties::GridGeometry>; | |
| 132 |
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4 | auto momentumGridGeometry = std::make_shared<MomentumGridGeometry>(leafGridView); |
| 133 | 2 | using MassGridGeometry = GetPropType<MassTypeTag, Properties::GridGeometry>; | |
| 134 |
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4 | auto massGridGeometry = std::make_shared<MassGridGeometry>(leafGridView); |
| 135 | |||
| 136 | // We introduce the multidomain coupling manager, which will couple the mass and the momentum problems | ||
| 137 | // We can obtain the type from either the `MomentumTypeTag` or the `MassTypeTag` because they are mutually coupled with the same manager | ||
| 138 | 2 | using CouplingManager = GetPropType<MomentumTypeTag, Properties::CouplingManager>; | |
| 139 |
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4 | auto couplingManager = std::make_shared<CouplingManager>(); |
| 140 | |||
| 141 | // We now instantiate the problems, in which we define the boundary and initial conditions. | ||
| 142 | 2 | using MomentumProblem = GetPropType<MomentumTypeTag, Properties::Problem>; | |
| 143 |
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4 | auto momentumProblem = std::make_shared<MomentumProblem>(momentumGridGeometry, couplingManager); |
| 144 | 2 | using MassProblem = GetPropType<MassTypeTag, Properties::Problem>; | |
| 145 |
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4 | auto massProblem = std::make_shared<MassProblem>(massGridGeometry, couplingManager); |
| 146 | |||
| 147 | // We set a solution vector which consist of two parts: one part (indexed by `massIdx`) | ||
| 148 | // is for the pressure degrees of freedom (`dofs`) living in grid cell centers. Another part | ||
| 149 | // (indexed by `momentumIdx`) is for degrees of freedom defining the normal velocities on grid cell faces. | ||
| 150 | // We initialize the solution vector by what was defined as the initial solution of the the problem. | ||
| 151 | 2 | constexpr auto momentumIdx = CouplingManager::freeFlowMomentumIndex; | |
| 152 | 2 | constexpr auto massIdx = CouplingManager::freeFlowMassIndex; | |
| 153 | 2 | using Traits = MultiDomainTraits<MomentumTypeTag, MassTypeTag>; | |
| 154 | 2 | using SolutionVector = typename Traits::SolutionVector; | |
| 155 |
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4 | SolutionVector x; |
| 156 |
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6 | momentumProblem->applyInitialSolution(x[momentumIdx]); |
| 157 |
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6 | massProblem->applyInitialSolution(x[massIdx]); |
| 158 |
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4 | auto xOld = x; |
| 159 | |||
| 160 | // We use the initial solution vector to create the `gridVariables`. | ||
| 161 | // The grid variables are used store variables (primary and secondary variables) on sub-control volumes and faces (volume and flux variables). | ||
| 162 | 2 | using MomentumGridVariables = GetPropType<MomentumTypeTag, Properties::GridVariables>; | |
| 163 |
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4 | auto momentumGridVariables = std::make_shared<MomentumGridVariables>(momentumProblem, momentumGridGeometry); |
| 164 | 2 | using MassGridVariables = GetPropType<MassTypeTag, Properties::GridVariables>; | |
| 165 |
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4 | auto massGridVariables = std::make_shared<MassGridVariables>(massProblem, massGridGeometry); |
| 166 | |||
| 167 | // using the problems and the grid variables, the coupling manager and the grid variables are initialized with the initial solution. | ||
| 168 | // The grid variables have to be initialized _after_ the coupling manager. | ||
| 169 | // This is because they require the correct coupling context between the mass and momentum model to be initialized. | ||
| 170 |
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10 | couplingManager->init(momentumProblem, massProblem, std::make_tuple(momentumGridVariables, massGridVariables), x, xOld); |
| 171 |
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6 | momentumGridVariables->init(x[momentumIdx]); |
| 172 |
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6 | massGridVariables->init(x[massIdx]); |
| 173 | |||
| 174 | // We get some time loop parameters from the input file | ||
| 175 | // and instantiate the time loop | ||
| 176 | 2 | using Scalar = typename Traits::Scalar; | |
| 177 |
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2 | const auto tEnd = getParam<Scalar>("TimeLoop.TEnd"); |
| 178 |
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2 | const auto maxDt = getParam<Scalar>("TimeLoop.MaxTimeStepSize"); |
| 179 |
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2 | const auto dt = getParam<Scalar>("TimeLoop.DtInitial"); |
| 180 | |||
| 181 |
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4 | auto timeLoop = std::make_shared<TimeLoop<Scalar>>(0, dt, tEnd); |
| 182 |
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4 | timeLoop->setMaxTimeStepSize(maxDt); |
| 183 | |||
| 184 | // We then initialize the predefined model-specific output vtk output. | ||
| 185 | 2 | using IOFields = GetPropType<MassTypeTag, Properties::IOFields>; | |
| 186 |
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8 | VtkOutputModule vtkWriter(*massGridVariables, x[massIdx], massProblem->name()); |
| 187 |
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2 | IOFields::initOutputModule(vtkWriter); // Add model specific output fields |
| 188 |
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4 | vtkWriter.addVelocityOutput(std::make_shared<NavierStokesVelocityOutput<MassGridVariables>>()); |
| 189 |
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2 | vtkWriter.write(0.0); |
| 190 | |||
| 191 | // To solve the non-linear problem at hand, we use the `NewtonSolver`, | ||
| 192 | // which we have to tell how to assemble and solve the system in each | ||
| 193 | // iteration. Here, we use the direct linear solver UMFPack. | ||
| 194 | 2 | using Assembler = MultiDomainFVAssembler<Traits, CouplingManager, DiffMethod::numeric>; | |
| 195 | 2 | auto assembler = std::make_shared<Assembler>(std::make_tuple(momentumProblem, massProblem), | |
| 196 | 4 | std::make_tuple(momentumGridGeometry, massGridGeometry), | |
| 197 | 4 | std::make_tuple(momentumGridVariables, massGridVariables), | |
| 198 |
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4 | couplingManager, timeLoop, xOld); |
| 199 | // the linear solver | ||
| 200 | 2 | using LinearSolver = Dumux::UMFPackIstlSolver<SeqLinearSolverTraits, LinearAlgebraTraitsFromAssembler<Assembler>>; | |
| 201 |
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4 | auto linearSolver = std::make_shared<LinearSolver>(); |
| 202 | |||
| 203 | // the non-linear solver | ||
| 204 | 2 | using NewtonSolver = MultiDomainNewtonSolver<Assembler, LinearSolver, CouplingManager>; | |
| 205 |
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12 | NewtonSolver nonLinearSolver(assembler, linearSolver, couplingManager); |
| 206 | |||
| 207 | // ##### The time loop | ||
| 208 | // In each time step, we solve the non-linear system of equations, write | ||
| 209 | // the current solution into .vtk files and prepare for the next time step. | ||
| 210 | // [[codeblock]] | ||
| 211 |
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4 | timeLoop->start(); do |
| 212 | { | ||
| 213 | // We solve the non-linear system with time step control. | ||
| 214 |
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20 | nonLinearSolver.solve(x, *timeLoop); |
| 215 | |||
| 216 | // We make the new solution the old solution. | ||
| 217 |
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10 | xOld = x; |
| 218 |
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20 | massGridVariables->advanceTimeStep(); |
| 219 |
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20 | momentumGridVariables->advanceTimeStep(); |
| 220 | |||
| 221 | // We advance to the time loop to the next step. | ||
| 222 |
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20 | timeLoop->advanceTimeStep(); |
| 223 | |||
| 224 | // We write vtk output for each time step. | ||
| 225 |
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30 | vtkWriter.write(timeLoop->time()); |
| 226 | |||
| 227 | // We report statistics of this time step. | ||
| 228 |
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20 | timeLoop->reportTimeStep(); |
| 229 | |||
| 230 | // We set a new dt as suggested by the newton solver for the next time step. | ||
| 231 |
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50 | timeLoop->setTimeStepSize(nonLinearSolver.suggestTimeStepSize(timeLoop->timeStepSize())); |
| 232 | |||
| 233 |
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20 | } while (!timeLoop->finished()); |
| 234 | // [[/codeblock]] | ||
| 235 | |||
| 236 | // We write the velocities and coordinates at x = 0.5 and y = 0.5 into a file | ||
| 237 |
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6 | writeSteadyVelocityAndCoordinates(*momentumProblem, x[momentumIdx]); |
| 238 | |||
| 239 | // The following piece of code prints a final status report of the time loop | ||
| 240 | // before the program is terminated. | ||
| 241 | // [[codeblock]] | ||
| 242 |
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4 | timeLoop->finalize(leafGridView.comm()); |
| 243 | |||
| 244 | // print used and unused parameters | ||
| 245 |
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4 | if (mpiHelper.rank() == 0) |
| 246 |
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2 | Parameters::print(); |
| 247 | |||
| 248 | 2 | return 0; | |
| 249 | } // end main | ||
| 250 | // [[/codeblock]] | ||
| 251 | // [[/content]] | ||
| 252 |