From 91b05593f5f4cf89a8b57bad6fd4b353dd80fb06 Mon Sep 17 00:00:00 2001
From: Andrea <vescovini.andrea@gmail.com>
Date: Thu, 17 Jan 2019 09:16:26 +0000
Subject: [PATCH] [freeflow][test] Added test sincos unsteady
---
test/freeflow/navierstokes/CMakeLists.txt | 1 +
.../navierstokes/sincos/CMakeLists.txt | 1 +
.../sincos/unsteady/CMakeLists.txt | 12 +
.../navierstokes/sincos/unsteady/main.cc | 280 ++
.../navierstokes/sincos/unsteady/params.input | 30 +
.../navierstokes/sincos/unsteady/problem.hh | 277 ++
...navierstokes_sincos_unsteady-reference.vtu | 3811 +++++++++++++++++
7 files changed, 4412 insertions(+)
create mode 100644 test/freeflow/navierstokes/sincos/CMakeLists.txt
create mode 100644 test/freeflow/navierstokes/sincos/unsteady/CMakeLists.txt
create mode 100644 test/freeflow/navierstokes/sincos/unsteady/main.cc
create mode 100644 test/freeflow/navierstokes/sincos/unsteady/params.input
create mode 100644 test/freeflow/navierstokes/sincos/unsteady/problem.hh
create mode 100644 test/references/test_ff_navierstokes_sincos_unsteady-reference.vtu
diff --git a/test/freeflow/navierstokes/CMakeLists.txt b/test/freeflow/navierstokes/CMakeLists.txt
index 70746e33d2..70806b5004 100644
--- a/test/freeflow/navierstokes/CMakeLists.txt
+++ b/test/freeflow/navierstokes/CMakeLists.txt
@@ -3,5 +3,6 @@ add_subdirectory(angeli)
add_subdirectory(kovasznay)
add_subdirectory(closedsystem)
add_subdirectory(channel)
+add_subdirectory(sincos)
dune_symlink_to_source_files(FILES convergence.sh)
diff --git a/test/freeflow/navierstokes/sincos/CMakeLists.txt b/test/freeflow/navierstokes/sincos/CMakeLists.txt
new file mode 100644
index 0000000000..dcd38a65cb
--- /dev/null
+++ b/test/freeflow/navierstokes/sincos/CMakeLists.txt
@@ -0,0 +1 @@
+add_subdirectory(unsteady)
diff --git a/test/freeflow/navierstokes/sincos/unsteady/CMakeLists.txt b/test/freeflow/navierstokes/sincos/unsteady/CMakeLists.txt
new file mode 100644
index 0000000000..215523ba1e
--- /dev/null
+++ b/test/freeflow/navierstokes/sincos/unsteady/CMakeLists.txt
@@ -0,0 +1,12 @@
+dune_add_test(NAME test_ff_navierstokes_sincos_unsteady
+ 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_unsteady-reference.vtu
+ ${CMAKE_CURRENT_BINARY_DIR}/test_ff_navierstokes_sincos_unsteady-00017.vtu
+ --command "${CMAKE_CURRENT_BINARY_DIR}/test_ff_navierstokes_sincos_unsteady params.input
+ -Problem.Name test_ff_navierstokes_sincos_unsteady")
+
+dune_symlink_to_source_files(FILES "params.input")
diff --git a/test/freeflow/navierstokes/sincos/unsteady/main.cc b/test/freeflow/navierstokes/sincos/unsteady/main.cc
new file mode 100644
index 0000000000..d8e949868e
--- /dev/null
+++ b/test/freeflow/navierstokes/sincos/unsteady/main.cc
@@ -0,0 +1,280 @@
+// -*- 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 time the time at which to evaluate the analytical solution
+* \param problem the problem for which to evaluate the analytical solution
+*/
+template<class Scalar, class Problem>
+auto createAnalyticalSolution(const Scalar time, 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 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, time);
+
+ // 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, time);
+ 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::SincosUnsteadyTest;
+
+ // 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();
+
+ // get some time loop parameters
+ using Scalar = GetPropType<TypeTag, Properties::Scalar>;
+ const auto tEnd = getParam<Scalar>("TimeLoop.TEnd");
+ const auto maxDt = getParam<Scalar>("TimeLoop.MaxTimeStepSize");
+ auto dt = getParam<Scalar>("TimeLoop.DtInitial");
+
+ // instantiate time loop
+ auto timeLoop = std::make_shared<TimeLoop<Scalar>>(0.0, dt, tEnd);
+ timeLoop->setMaxTimeStepSize(maxDt);
+
+ // the problem (initial and boundary conditions)
+ using Problem = GetPropType<TypeTag, Properties::Problem>;
+ auto problem = std::make_shared<Problem>(fvGridGeometry);
+ problem->updateTimeStepSize(timeLoop->timeStepSize());
+
+ // the solution vector
+ using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>;
+ SolutionVector x;
+ x[FVGridGeometry::cellCenterIdx()].resize(fvGridGeometry->numCellCenterDofs());
+ x[FVGridGeometry::faceIdx()].resize(fvGridGeometry->numFaceDofs());
+ problem->applyInitialSolution(x);
+ auto xOld = x;
+
+ // 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(timeLoop->time(), *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, timeLoop);
+
+ // 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");
+
+ // time loop
+ timeLoop->start(); do
+ {
+ // set previous solution for storage evaluations
+ assembler->setPreviousSolution(xOld);
+
+ // solve the non-linear system with time step control
+ nonLinearSolver.solve(x, *timeLoop);
+
+ // make the new solution the old solution
+ xOld = x;
+ gridVariables->advanceTimeStep();
+
+ if (printL2Error)
+ {
+ using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices;
+ using ModelTraits = GetPropType<TypeTag, Properties::ModelTraits>;
+ using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>;
+
+ 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;
+ }
+
+ // advance to the time loop to the next step
+ timeLoop->advanceTimeStep();
+ problem->updateTime(timeLoop->time());
+ analyticalSolution = createAnalyticalSolution(timeLoop->time(), *problem);
+
+ // write vtk output
+ vtkWriter.write(timeLoop->time());
+
+ // report statistics of this time step
+ timeLoop->reportTimeStep();
+
+ // set new dt as suggested by newton solver
+ timeLoop->setTimeStepSize(nonLinearSolver.suggestTimeStepSize(timeLoop->timeStepSize()));
+ problem->updateTimeStepSize(timeLoop->timeStepSize());
+
+ } while (!timeLoop->finished());
+
+ timeLoop->finalize(leafGridView.comm());
+
+ ////////////////////////////////////////////////////////////
+ // 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/unsteady/params.input b/test/freeflow/navierstokes/sincos/unsteady/params.input
new file mode 100644
index 0000000000..f074489dc8
--- /dev/null
+++ b/test/freeflow/navierstokes/sincos/unsteady/params.input
@@ -0,0 +1,30 @@
+[TimeLoop]
+DtInitial = 0.01 # [s]
+TEnd = 1.0 # [s]
+
+[Grid]
+LowerLeft = 0 0
+UpperRight = 1 1
+Cells = 50 50
+
+[Problem]
+Name = test_sincos_unsteady # name passed to the output routines
+EnableGravity = false
+PrintL2Error = true
+EnableInertiaTerms = true
+
+[Component]
+LiquidDensity = 1.0
+LiquidKinematicViscosity = 0.1
+
+[Assembly]
+NumericDifference.BaseEpsilon = 1e-8
+
+[Newton]
+MaxSteps = 10
+TargetSteps = 4
+MaxRelativeShift = 1e-5
+
+[Vtk]
+WriteFaceData = false
+AddProcessRank = false
diff --git a/test/freeflow/navierstokes/sincos/unsteady/problem.hh b/test/freeflow/navierstokes/sincos/unsteady/problem.hh
new file mode 100644
index 0000000000..05be7c0232
--- /dev/null
+++ b/test/freeflow/navierstokes/sincos/unsteady/problem.hh
@@ -0,0 +1,277 @@
+// -*- 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.
+ */
+#ifndef DUMUX_SINCOS_UNSTEADY_TEST_PROBLEM_HH
+#define DUMUX_SINCOS_UNSTEADY_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 SincosUnsteadyTestProblem;
+
+namespace Properties {
+// Create new type tags
+namespace TTag {
+struct SincosUnsteadyTest { using InheritsFrom = std::tuple<NavierStokes, StaggeredFreeFlowModel>; };
+} // end namespace TTag
+
+// the fluid system
+template<class TypeTag>
+struct FluidSystem<TypeTag, TTag::SincosUnsteadyTest>
+{
+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::SincosUnsteadyTest> { using type = Dune::YaspGrid<2, Dune::EquidistantOffsetCoordinates<GetPropType<TypeTag, Properties::Scalar>, 2> >; };
+
+// Set the problem property
+template<class TypeTag>
+struct Problem<TypeTag, TTag::SincosUnsteadyTest> { using type = Dumux::SincosUnsteadyTestProblem<TypeTag> ; };
+
+template<class TypeTag>
+struct EnableFVGridGeometryCache<TypeTag, TTag::SincosUnsteadyTest> { static constexpr bool value = true; };
+template<class TypeTag>
+struct EnableGridFluxVariablesCache<TypeTag, TTag::SincosUnsteadyTest> { static constexpr bool value = true; };
+template<class TypeTag>
+struct EnableGridVolumeVariablesCache<TypeTag, TTag::SincosUnsteadyTest> { static constexpr bool value = true; };
+} // end namespace Properties
+
+/*!
+ * \ingroup NavierStokesTests
+ * \brief Test problem for the staggered grid.
+ *
+ * The unsteady, 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 velocities and pressures are periodical in time. The Dirichlet boundary conditions are
+ * time-dependent and consistent with the analytical solution.
+ */
+template <class TypeTag>
+class SincosUnsteadyTestProblem : 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;
+
+ SincosUnsteadyTestProblem(std::shared_ptr<const FVGridGeometry> fvGridGeometry)
+ : ParentType(fvGridGeometry), time_(0.0), timeStepSize_(0.0)
+ {
+ kinematicViscosity_ = getParam<Scalar>("Component.LiquidKinematicViscosity", 1.0);
+
+ using CellArray = std::array<unsigned int, dimWorld>;
+ auto 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];
+ const Scalar t = time_ + timeStepSize_;
+
+ using std::cos;
+ using std::sin;
+
+ source[Indices::momentumXBalanceIdx] = -2.0 * cos(x) * sin(y) * (cos(2.0 * t) + sin(2.0 * t) * kinematicViscosity_);
+ source[Indices::momentumYBalanceIdx] = 2.0 * sin(x) * cos(y) * (cos(2.0 * t) + sin(2.0 * t) * kinematicViscosity_);
+
+ 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 FVElementGeometry& fvGeometry,
+ const 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, time_+timeStepSize_);
+ }
+
+ /*!
+ * \brief Returns the analytical solution of the problem at a given position.
+ *
+ * \param globalPos The global position
+ * \param time The current simulation time
+ */
+ PrimaryVariables analyticalSolution(const GlobalPosition& globalPos, const Scalar time) const
+ {
+ const Scalar x = globalPos[0];
+ const Scalar y = globalPos[1];
+
+ const Scalar t = time;
+
+ PrimaryVariables values;
+
+ using std::sin;
+ using std::cos;
+
+ values[Indices::pressureIdx] = -0.25 * (cos(2.0 * x) + cos(2.0 * y)) * sin(2.0 * t) * sin(2.0 * t);
+ values[Indices::velocityXIdx] = -1.0 * cos(x) * sin(y) * sin(2.0 * t);
+ values[Indices::velocityYIdx] = sin(x) * cos(y) * sin(2.0 * t);
+
+ 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
+ {
+ return analyticalSolution(globalPos, 0.0);
+ }
+
+ /*!
+ * \brief Updates the time
+ */
+ void updateTime(const Scalar time)
+ {
+ time_ = time;
+ }
+
+ /*!
+ * \brief Updates the time step size
+ */
+ void updateTimeStepSize(const Scalar timeStepSize)
+ {
+ timeStepSize_ = timeStepSize;
+ }
+
+private:
+ static constexpr Scalar eps_ = 1e-6;
+
+ Scalar cellSizeX_;
+ Scalar cellSizeY_;
+
+ Scalar kinematicViscosity_;
+ Scalar time_;
+ Scalar timeStepSize_;
+};
+
+} // end namespace Dumux
+
+#endif // DUMUX_SINCOS_UNSTEADY_TEST_PROBLEM_HH
diff --git a/test/references/test_ff_navierstokes_sincos_unsteady-reference.vtu b/test/references/test_ff_navierstokes_sincos_unsteady-reference.vtu
new file mode 100644
index 0000000000..b48edc9fe1
--- /dev/null
+++ b/test/references/test_ff_navierstokes_sincos_unsteady-reference.vtu
@@ -0,0 +1,3811 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian">
+ <UnstructuredGrid>
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+ <CellData Scalars="p" Vectors="velocity_liq (m/s)">
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+ </UnstructuredGrid>
+</VTKFile>
--
GitLab