diff --git a/test/freeflow/navierstokes/sincos/CMakeLists.txt b/test/freeflow/navierstokes/sincos/CMakeLists.txt index dcd38a65cbbed03f8a29cede395e610d7213136a..248d85c99e2bdae00dbd27c924fac2459e347d89 100644 --- a/test/freeflow/navierstokes/sincos/CMakeLists.txt +++ b/test/freeflow/navierstokes/sincos/CMakeLists.txt @@ -1 +1,2 @@ +add_subdirectory(steady) add_subdirectory(unsteady) diff --git a/test/freeflow/navierstokes/sincos/steady/CMakeLists.txt b/test/freeflow/navierstokes/sincos/steady/CMakeLists.txt new file mode 100644 index 0000000000000000000000000000000000000000..096c0a26b245986c8061ade2fdadd92d76e23939 --- /dev/null +++ b/test/freeflow/navierstokes/sincos/steady/CMakeLists.txt @@ -0,0 +1,12 @@ +dune_add_test(NAME test_ff_navierstokes_sincos_steady + SOURCES main.cc + LABELS freeflow + CMAKE_GUARD HAVE_UMFPACK + COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py + CMD_ARGS --script fuzzy + --files ${CMAKE_SOURCE_DIR}/test/references/test_ff_navierstokes_sincos_steady-reference.vtu + ${CMAKE_CURRENT_BINARY_DIR}/test_ff_navierstokes_sincos_steady-00001.vtu + --command "${CMAKE_CURRENT_BINARY_DIR}/test_ff_navierstokes_sincos_steady params.input + -Problem.Name test_ff_navierstokes_sincos_steady") + +dune_symlink_to_source_files(FILES "params.input") diff --git a/test/freeflow/navierstokes/sincos/steady/main.cc b/test/freeflow/navierstokes/sincos/steady/main.cc new file mode 100644 index 0000000000000000000000000000000000000000..f98561938afe929f4798103b618d777d8519af2f --- /dev/null +++ b/test/freeflow/navierstokes/sincos/steady/main.cc @@ -0,0 +1,250 @@ +// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- +// vi: set et ts=4 sw=4 sts=4: +/***************************************************************************** + * See the file COPYING for full copying permissions. * + * * + * This program is free software: you can redistribute it and/or modify * + * it under the terms of the GNU General Public License as published by * + * the Free Software Foundation, either version 3 of the License, or * + * (at your option) any later version. * + * * + * This program is distributed in the hope that it will be useful, * + * but WITHOUT ANY WARRANTY; without even the implied warranty of * + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * + * GNU General Public License for more details. * + * * + * You should have received a copy of the GNU General Public License * + * along with this program. If not, see <http://www.gnu.org/licenses/>. * + *****************************************************************************/ +/*! + * \file + * \ingroup NavierStokesTests + * \brief Test for the instationary staggered grid Navier-Stokes model + * with analytical solution. + */ +#include <config.h> + +#include <ctime> +#include <iostream> +#include <type_traits> +#include <tuple> + +#include <dune/common/parallel/mpihelper.hh> +#include <dune/common/timer.hh> +#include <dune/grid/io/file/dgfparser/dgfexception.hh> +#include <dune/grid/io/file/vtk.hh> + +#include <dumux/assembly/staggeredfvassembler.hh> +#include <dumux/assembly/diffmethod.hh> +#include <dumux/common/dumuxmessage.hh> +#include <dumux/common/parameters.hh> +#include <dumux/common/properties.hh> +#include <dumux/common/valgrind.hh> +#include <dumux/io/grid/gridmanager.hh> +#include <dumux/io/staggeredvtkoutputmodule.hh> +#include <dumux/linear/seqsolverbackend.hh> +#include <dumux/nonlinear/newtonsolver.hh> + +#include "problem.hh" + +/*! +* \brief Creates analytical solution. +* Returns a tuple of the analytical solution for the pressure, the velocity and the velocity at the faces +* \param problem the problem for which to evaluate the analytical solution +*/ +template<class Problem> +auto createAnalyticalSolution(const Problem& problem) +{ + const auto& fvGridGeometry = problem.fvGridGeometry(); + using GridView = typename std::decay_t<decltype(fvGridGeometry)>::GridView; + + static constexpr auto dim = GridView::dimension; + static constexpr auto dimWorld = GridView::dimensionworld; + + using Scalar = double; + using VelocityVector = Dune::FieldVector<Scalar, dimWorld>; + + std::vector<Scalar> analyticalPressure; + std::vector<VelocityVector> analyticalVelocity; + std::vector<VelocityVector> analyticalVelocityOnFace; + + analyticalPressure.resize(fvGridGeometry.numCellCenterDofs()); + analyticalVelocity.resize(fvGridGeometry.numCellCenterDofs()); + analyticalVelocityOnFace.resize(fvGridGeometry.numFaceDofs()); + + using Indices = typename Problem::Indices; + for (const auto& element : elements(fvGridGeometry.gridView())) + { + auto fvGeometry = localView(fvGridGeometry); + fvGeometry.bindElement(element); + for (auto&& scv : scvs(fvGeometry)) + { + auto ccDofIdx = scv.dofIndex(); + auto ccDofPosition = scv.dofPosition(); + auto analyticalSolutionAtCc = problem.analyticalSolution(ccDofPosition); + + // velocities on faces + for (auto&& scvf : scvfs(fvGeometry)) + { + const auto faceDofIdx = scvf.dofIndex(); + const auto faceDofPosition = scvf.center(); + const auto dirIdx = scvf.directionIndex(); + const auto analyticalSolutionAtFace = problem.analyticalSolution(faceDofPosition); + analyticalVelocityOnFace[faceDofIdx][dirIdx] = analyticalSolutionAtFace[Indices::velocity(dirIdx)]; + } + + analyticalPressure[ccDofIdx] = analyticalSolutionAtCc[Indices::pressureIdx]; + + for(int dirIdx = 0; dirIdx < dim; ++dirIdx) + analyticalVelocity[ccDofIdx][dirIdx] = analyticalSolutionAtCc[Indices::velocity(dirIdx)]; + } + } + + return std::make_tuple(analyticalPressure, analyticalVelocity, analyticalVelocityOnFace); +} + +int main(int argc, char** argv) try +{ + using namespace Dumux; + + // define the type tag for this problem + using TypeTag = Properties::TTag::SincosSteadyTest; + + // initialize MPI, finalize is done automatically on exit + const auto& mpiHelper = Dune::MPIHelper::instance(argc, argv); + + // print dumux start message + if (mpiHelper.rank() == 0) + DumuxMessage::print(/*firstCall=*/true); + + // parse command line arguments and input file + Parameters::init(argc, argv); + + // try to create a grid (from the given grid file or the input file) + GridManager<GetPropType<TypeTag, Properties::Grid>> gridManager; + gridManager.init(); + + //////////////////////////////////////////////////////////// + // run instationary non-linear problem on this grid + //////////////////////////////////////////////////////////// + + // we compute on the leaf grid view + const auto& leafGridView = gridManager.grid().leafGridView(); + + // create the finite volume grid geometry + using FVGridGeometry = GetPropType<TypeTag, Properties::FVGridGeometry>; + auto fvGridGeometry = std::make_shared<FVGridGeometry>(leafGridView); + fvGridGeometry->update(); + + // the problem (initial and boundary conditions) + using Problem = GetPropType<TypeTag, Properties::Problem>; + auto problem = std::make_shared<Problem>(fvGridGeometry); + + // the solution vector + using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>; + SolutionVector x; + x[FVGridGeometry::cellCenterIdx()].resize(fvGridGeometry->numCellCenterDofs()); + x[FVGridGeometry::faceIdx()].resize(fvGridGeometry->numFaceDofs()); + + // the grid variables + using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; + auto gridVariables = std::make_shared<GridVariables>(problem, fvGridGeometry); + gridVariables->init(x); + + // initialize the vtk output module + StaggeredVtkOutputModule<GridVariables, SolutionVector> vtkWriter(*gridVariables, x, problem->name()); + using IOFields = GetPropType<TypeTag, Properties::IOFields>; + IOFields::initOutputModule(vtkWriter); // Add model specific output fields + + auto analyticalSolution = createAnalyticalSolution(*problem); + vtkWriter.addField(std::get<0>(analyticalSolution), "pressureExact"); + vtkWriter.addField(std::get<1>(analyticalSolution), "velocityExact"); + vtkWriter.addFaceField(std::get<2>(analyticalSolution), "faceVelocityExact"); + vtkWriter.write(0.0); + + // the assembler with time loop for instationary problem + using Assembler = StaggeredFVAssembler<TypeTag, DiffMethod::numeric>; + auto assembler = std::make_shared<Assembler>(problem, fvGridGeometry, gridVariables); + + // the linear solver + using LinearSolver = Dumux::UMFPackBackend; + auto linearSolver = std::make_shared<LinearSolver>(); + + // the non-linear solver + using NewtonSolver = Dumux::NewtonSolver<Assembler, LinearSolver>; + NewtonSolver nonLinearSolver(assembler, linearSolver); + + const bool printL2Error = getParam<bool>("Problem.PrintL2Error"); + + // linearize & solve + Dune::Timer timer; + nonLinearSolver.solve(x); + + if (printL2Error) + { + using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices; + using ModelTraits = GetPropType<TypeTag, Properties::ModelTraits>; + using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>; + + using Scalar = GetPropType<TypeTag, Properties::Scalar>; + using L2Error = NavierStokesTestL2Error<Scalar, ModelTraits, PrimaryVariables>; + const auto l2error = L2Error::calculateL2Error(*problem, x); + const int numCellCenterDofs = fvGridGeometry->numCellCenterDofs(); + const int numFaceDofs = fvGridGeometry->numFaceDofs(); + std::cout << std::setprecision(8) << "** L2 error (abs/rel) for " + << std::setw(6) << numCellCenterDofs << " cc dofs and " << numFaceDofs << " face dofs (total: " << numCellCenterDofs + numFaceDofs << "): " + << std::scientific + << "L2(p) = " << l2error.first[Indices::pressureIdx] << " / " << l2error.second[Indices::pressureIdx] + << " , L2(vx) = " << l2error.first[Indices::velocityXIdx] << " / " << l2error.second[Indices::velocityXIdx] + << " , L2(vy) = " << l2error.first[Indices::velocityYIdx] << " / " << l2error.second[Indices::velocityYIdx] + << std::endl; + } + + // write vtk output + analyticalSolution = createAnalyticalSolution(*problem); + vtkWriter.write(1.0); + + timer.stop(); + + const auto& comm = Dune::MPIHelper::getCollectiveCommunication(); + std::cout << "Simulation took " << timer.elapsed() << " seconds on " + << comm.size() << " processes.\n" + << "The cumulative CPU time was " << timer.elapsed()*comm.size() << " seconds.\n"; + + //////////////////////////////////////////////////////////// + // finalize, print dumux message to say goodbye + //////////////////////////////////////////////////////////// + + // print dumux end message + if (mpiHelper.rank() == 0) + { + Parameters::print(); + DumuxMessage::print(/*firstCall=*/false); + } + + return 0; +} // end main +catch (Dumux::ParameterException &e) +{ + std::cerr << std::endl << e << " ---> Abort!" << std::endl; + return 1; +} +catch (Dune::DGFException & e) +{ + std::cerr << "DGF exception thrown (" << e << + "). Most likely, the DGF file name is wrong " + "or the DGF file is corrupted, " + "e.g. missing hash at end of file or wrong number (dimensions) of entries." + << " ---> Abort!" << std::endl; + return 2; +} +catch (Dune::Exception &e) +{ + std::cerr << "Dune reported error: " << e << " ---> Abort!" << std::endl; + return 3; +} +catch (...) +{ + std::cerr << "Unknown exception thrown! ---> Abort!" << std::endl; + return 4; +} diff --git a/test/freeflow/navierstokes/sincos/steady/params.input b/test/freeflow/navierstokes/sincos/steady/params.input new file mode 100644 index 0000000000000000000000000000000000000000..d822598cd6075827bc8a6e00692ce8bec534ec8a --- /dev/null +++ b/test/freeflow/navierstokes/sincos/steady/params.input @@ -0,0 +1,21 @@ +[Grid] +UpperRight = 1 1 +Cells = 50 50 + +[Problem] +Name = test_sincos_steady # name passed to the output routines +EnableGravity = false +PrintL2Error = true +EnableInertiaTerms = true + +[Component] +LiquidDensity = 1.0 +LiquidKinematicViscosity = 0.001 + +[Newton] +MaxSteps = 10 +MaxRelativeShift = 1e-5 + +[Vtk] +WriteFaceData = false +AddProcessRank = false diff --git a/test/freeflow/navierstokes/sincos/steady/problem.hh b/test/freeflow/navierstokes/sincos/steady/problem.hh new file mode 100644 index 0000000000000000000000000000000000000000..ce5993e480b36b5292e0ac4c7692341bb37a6a3e --- /dev/null +++ b/test/freeflow/navierstokes/sincos/steady/problem.hh @@ -0,0 +1,267 @@ +// -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- +// vi: set et ts=4 sw=4 sts=4: +/***************************************************************************** + * See the file COPYING for full copying permissions. * + * * + * This program is free software: you can redistribute it and/or modify * + * it under the terms of the GNU General Public License as published by * + * the Free Software Foundation, either version 3 of the License, or * + * (at your option) any later version. * + * * + * This program is distributed in the hope that it will be useful, * + * but WITHOUT ANY WARRANTY; without even the implied warranty of * + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * + * GNU General Public License for more details. * + * * + * You should have received a copy of the GNU General Public License * + * along with this program. If not, see <http://www.gnu.org/licenses/>. * + *****************************************************************************/ +/*! + * \file + * \ingroup NavierStokesTests + * \brief Test for the stationary staggered grid Navier-Stokes model + * with analytical solution. + */ +#ifndef DUMUX_SINCOS_STEADY_TEST_PROBLEM_HH +#define DUMUX_SINCOS_STEADY_TEST_PROBLEM_HH + +#include <dune/grid/yaspgrid.hh> + +#include <dumux/material/fluidsystems/1pliquid.hh> +#include <dumux/material/components/constant.hh> + +#include <dumux/freeflow/navierstokes/problem.hh> +#include <dumux/discretization/staggered/freeflow/properties.hh> +#include <dumux/freeflow/navierstokes/model.hh> +#include "../../l2error.hh" + +namespace Dumux { +template <class TypeTag> +class SincosSteadyTestProblem; + +namespace Properties { +// Create new type tags +namespace TTag { +struct SincosSteadyTest { using InheritsFrom = std::tuple<NavierStokes, StaggeredFreeFlowModel>; }; +} // end namespace TTag + +// the fluid system +template<class TypeTag> +struct FluidSystem<TypeTag, TTag::SincosSteadyTest> +{ +private: + using Scalar = GetPropType<TypeTag, Properties::Scalar>; +public: + using type = FluidSystems::OnePLiquid<Scalar, Components::Constant<1, Scalar> >; +}; + +// Set the grid type +template<class TypeTag> +struct Grid<TypeTag, TTag::SincosSteadyTest> { using type = Dune::YaspGrid<2, Dune::EquidistantOffsetCoordinates<GetPropType<TypeTag, Properties::Scalar>, 2> >; }; + +// Set the problem property +template<class TypeTag> +struct Problem<TypeTag, TTag::SincosSteadyTest> { using type = Dumux::SincosSteadyTestProblem<TypeTag> ; }; + +template<class TypeTag> +struct EnableFVGridGeometryCache<TypeTag, TTag::SincosSteadyTest> { static constexpr bool value = true; }; +template<class TypeTag> +struct EnableGridFluxVariablesCache<TypeTag, TTag::SincosSteadyTest> { static constexpr bool value = true; }; +template<class TypeTag> +struct EnableGridVolumeVariablesCache<TypeTag, TTag::SincosSteadyTest> { static constexpr bool value = true; }; +} // end namespace Properties + +/*! + * \ingroup NavierStokesTests + * \brief Test problem for the staggered grid. + * + * The steady, 2D, incompressible Navier-Stokes equations for zero gravity and a Newtonian + * flow is solved and compared to an analytical solution (sums/products of trigonometric functions). + * The Dirichlet boundary conditions are consistent with the analytical solution. + */ +template <class TypeTag> +class SincosSteadyTestProblem : public NavierStokesProblem<TypeTag> +{ + using ParentType = NavierStokesProblem<TypeTag>; + + using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>; + using FVGridGeometry = GetPropType<TypeTag, Properties::FVGridGeometry>; + using ModelTraits = GetPropType<TypeTag, Properties::ModelTraits>; + using NumEqVector = GetPropType<TypeTag, Properties::NumEqVector>; + using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>; + using Scalar = GetPropType<TypeTag, Properties::Scalar>; + using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>; + using TimeLoopPtr = std::shared_ptr<TimeLoop<Scalar>>; + using SubControlVolume = typename FVGridGeometry::SubControlVolume; + using FVElementGeometry = typename FVGridGeometry::LocalView; + + static constexpr auto dimWorld = GetPropType<TypeTag, Properties::GridView>::dimensionworld; + using Element = typename FVGridGeometry::GridView::template Codim<0>::Entity; + using GlobalPosition = typename Element::Geometry::GlobalCoordinate; + using VelocityVector = Dune::FieldVector<Scalar, dimWorld>; + +public: + using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices; + + SincosSteadyTestProblem(std::shared_ptr<const FVGridGeometry> fvGridGeometry) + : ParentType(fvGridGeometry) + { + kinematicViscosity_ = getParam<Scalar>("Component.LiquidKinematicViscosity", 1.0); + enableInertiaTerms_ = getParam<bool>("Problem.EnableInertiaTerms"); + + using CellArray = std::array<unsigned int, dimWorld>; + CellArray numCells = getParam<CellArray>("Grid.Cells"); + + const unsigned int refinement = getParam<unsigned int>("Grid.Refinement", 0); + for(unsigned int i = 0; i < refinement; i++) + { + numCells[0] *= 2; + numCells[1] *= 2; + } + + cellSizeX_ = (this->fvGridGeometry().bBoxMax()[0] - this->fvGridGeometry().bBoxMin()[0]) / numCells[0]; + cellSizeY_ = (this->fvGridGeometry().bBoxMax()[1] - this->fvGridGeometry().bBoxMin()[1]) / numCells[1]; + } + + /*! + * \brief Returns the temperature within the domain in [K]. + * + * This problem assumes a temperature of 10 degrees Celsius. + */ + Scalar temperature() const + { return 298.0; } + + /*! + * \brief Return the sources within the domain. + * + * \param globalPos The global position + */ + NumEqVector sourceAtPos(const GlobalPosition &globalPos) const + { + NumEqVector source(0.0); + const Scalar x = globalPos[0]; + const Scalar y = globalPos[1]; + + using std::cos; + using std::sin; + + source[Indices::momentumXBalanceIdx] = -2.0 * kinematicViscosity_ * cos(x) * sin(y); + source[Indices::momentumYBalanceIdx] = 2.0 * kinematicViscosity_ * cos(y) * sin(x); + + if (!enableInertiaTerms_) + { + source[Indices::momentumXBalanceIdx] += 0.5 * sin(2.0 * x); + source[Indices::momentumYBalanceIdx] += 0.5 * sin(2.0 * y); + } + + return source; + } + + // \} + /*! + * \name Boundary conditions + */ + // \{ + + /*! + * \brief Specifies which kind of boundary condition should be + * used for which equation on a given boundary control volume. + * + * \param globalPos The position of the center of the finite volume + */ + BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const + { + BoundaryTypes values; + + // set Dirichlet values for the velocity everywhere + values.setDirichlet(Indices::velocityXIdx); + values.setDirichlet(Indices::velocityYIdx); + + return values; + } + + /*! + * \brief Returns whether a fixed Dirichlet value shall be used at a given cell. + * + * \param element The finite element + * \param fvGeometry The finite-volume geometry + * \param scv The sub control volume + * \param pvIdx The primary variable index in the solution vector + */ + bool isDirichletCell(const Element& element, + const typename FVGridGeometry::LocalView& fvGeometry, + const typename FVGridGeometry::SubControlVolume& scv, + int pvIdx) const + { + // set fixed pressure in one cell + return (scv.dofIndex() == 0) && pvIdx == Indices::pressureIdx; + } + + /*! + * \brief Returns Dirichlet boundary values at a given position. + * + * \param globalPos The global position + */ + PrimaryVariables dirichletAtPos(const GlobalPosition & globalPos) const + { + // use the values of the analytical solution + return analyticalSolution(globalPos); + } + + /*! + * \brief Returns the analytical solution of the problem at a given position. + * + * \param globalPos The global position + */ + PrimaryVariables analyticalSolution(const GlobalPosition& globalPos) const + { + const Scalar x = globalPos[0]; + const Scalar y = globalPos[1]; + + PrimaryVariables values; + + using std::sin; + using std::cos; + + values[Indices::pressureIdx] = -0.25 * (cos(2.0 * x) + cos(2.0 * y)); + values[Indices::velocityXIdx] = -1.0 * cos(x) * sin(y); + values[Indices::velocityYIdx] = sin(x) * cos(y); + + return values; + } + + // \} + + /*! + * \name Volume terms + */ + // \{ + + /*! + * \brief Evaluates the initial value for a control volume. + * + * \param globalPos The global position + */ + PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const + { + PrimaryVariables values; + values[Indices::pressureIdx] = 0.0; + values[Indices::velocityXIdx] = 0.0; + values[Indices::velocityYIdx] = 0.0; + + return values; + } + +private: + static constexpr Scalar eps_ = 1e-6; + + Scalar cellSizeX_; + Scalar cellSizeY_; + + Scalar kinematicViscosity_; + bool enableInertiaTerms_; +}; + +} // end namespace Dumux + +#endif // DUMUX_SINCOS_STEADY_TEST_PROBLEM_HH diff --git 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