diff --git a/examples/CMakeLists.txt b/examples/CMakeLists.txt index e8da037368456c9854b21bbb6b8b7c5b5a2e8f3f..72da3bd43811fb95c5c4d951b5bfa5aabe2e918e 100644 --- a/examples/CMakeLists.txt +++ b/examples/CMakeLists.txt @@ -1,3 +1,4 @@ add_subdirectory(2pinfiltration) add_subdirectory(1ptracer) add_subdirectory(shallowwaterfriction) +add_subdirectory(freeflowchannel) diff --git a/examples/README.md b/examples/README.md index 41a8181419c085126cf700a4fa31dadbf0379a3f..29cf75a8051102187ccb399b1a1bfc8bdd133927 100644 --- a/examples/README.md +++ b/examples/README.md @@ -33,3 +33,10 @@ You learn how to * solve a shallow water flow problem including bottom friction * computate and output (VTK) an analytical reference solution + +### [:open_file_folder: Example 4: Freeflow channel](https://git.iws.uni-stuttgart.de/dumux-repositories/dumux/tree/master/examples/freeflowchannel) +In this example, we simulate a free flow between two plates in two dimensions. +You learn how to + +* solve a free flow problem +* set outflow boundary conditions in the free-flow context diff --git a/examples/freeflowchannel/.doc_config b/examples/freeflowchannel/.doc_config new file mode 100644 index 0000000000000000000000000000000000000000..cf97091424913c537e2f1539c78d6a21469dabd6 --- /dev/null +++ b/examples/freeflowchannel/.doc_config @@ -0,0 +1,4 @@ +doc/intro.md +problem.hh +main.cc +doc/results.md diff --git a/examples/freeflowchannel/CMakeLists.txt b/examples/freeflowchannel/CMakeLists.txt new file mode 100644 index 0000000000000000000000000000000000000000..b1612c352563fcec544466f2de9eecdc0eed0d67 --- /dev/null +++ b/examples/freeflowchannel/CMakeLists.txt @@ -0,0 +1,11 @@ +dune_symlink_to_source_files(FILES "params.input") + +dumux_add_test(NAME example_freeflow_channel_navierstokes + LABELS freeflow navierstokes + SOURCES main.cc + CMAKE_GUARD HAVE_UMFPACK + COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py + CMD_ARGS --script fuzzy + --files ${CMAKE_SOURCE_DIR}/test/references/example_ff_channel-reference.vtu + ${CMAKE_CURRENT_BINARY_DIR}/example_ff_channel-00001.vtu + --command "${CMAKE_CURRENT_BINARY_DIR}/example_freeflow_channel_navierstokes params.input -Problem.Name example_ff_channel") diff --git a/examples/freeflowchannel/README.md b/examples/freeflowchannel/README.md new file mode 100644 index 0000000000000000000000000000000000000000..2159c8619bf64768e3e3c1bbc669a99d340ab7e6 --- /dev/null +++ b/examples/freeflowchannel/README.md @@ -0,0 +1,538 @@ +This example is based on dumux/test/freeflow/navierstokes/channel/2d. + +# Freeflow through a channel + +## Problem set-up +This example contains a stationary free flow of a fluid through two parallel solid plates in two dimensions from left to right. The figure below shows the simulation set-up. The fluid flows into the system at the left with a constant velocity of $` v = 1~\frac{\text{m}}{\text{s}} `$. The inflow velocity profile is a block profile. Due to the no-slip, no-flow boundary conditions at the top and bottom plate, the velocity profile gradually assumes a parabolic shape along the channel. At the outlet, the pressure is fixed and a zero velocity gradient in x-direction is assumed. The physical domain, which is modeled is the rectangular domain $`x\in[0,10],~y\in[0,1]`$. + + + +## Model description +The Stokes model without gravitation and without sources or sinks for a stationary, incompressible, laminar, single phase, one-component, isothermal ($`T=10^\circ C`$) flow is considered assuming a Newtonian fluid of constant density $` \varrho = 1~\frac{\text{kg}}{\text{m}^3} `$ and constant kinematic viscosity $` \nu = 1~\frac{\text{m}^2}{\text{s}} `$. The momentum balance +```math +- \nabla\cdot\left(\mu\left(\nabla\boldsymbol{u}+\nabla\boldsymbol{u}^{\text{T}}\right)\right)+ \nabla p = 0 +``` +with density $`\varrho`$, velocity $`\boldsymbol{u}`$, dynamic viscosity $`\mu=\varrho\nu`$ and pressure $`p`$ and the mass balance +```math +\nabla \cdot \left(\varrho\boldsymbol{u}\right) =0 +``` +are discretized using a staggered-grid finite-volume scheme as spatial discretization with pressures and velocity components as primary variables. For details on the discretization scheme, have a look at the dumux [handbook](https://dumux.org/handbook). + +In the following, we take a close look at the files containing the set-up: At first, boundary conditions are set in `problem.hh` for the Navier-Stokes model. Afterwards, we show the different steps for solving the model in the source file `main.cc`. At the end, we show some simulation results. + + +## The file `problem.hh` + + + +### The problem class +We enter the problem class where all necessary initial and boundary conditions are set for our simulation. + +As this is a Stokes problem, we inherit from the basic <code>NavierStokesProblem</code>. +<details><summary>Toggle to expand code:</summary> +```cpp + +#include <dumux/freeflow/navierstokes/problem.hh> + +namespace Dumux { + +template <class TypeTag> +class ChannelExampleProblem : public NavierStokesProblem<TypeTag> +{ +``` +</details> + +We use convenient declarations that we derive from the property system. +<details> +<summary>Toggle to expand code (convenient declarations)</summary> + +```cpp + using ParentType = NavierStokesProblem<TypeTag>; + using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>; + using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; + using FVElementGeometry = typename GridGeometry::LocalView; + using SubControlVolumeFace = typename GridGeometry::SubControlVolumeFace; + using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices; + using NumEqVector = GetPropType<TypeTag, Properties::NumEqVector>; + using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>; + using Scalar = GetPropType<TypeTag, Properties::Scalar>; + + using Element = typename GridGeometry::GridView::template Codim<0>::Entity; + using GlobalPosition = typename Element::Geometry::GlobalCoordinate; + +public: +``` +</details> + +There follows the constructor of our problem class: +Within the constructor, we set the inlet velocity to a run-time specified value. +As no run-time value is specified, we set the outlet pressure to 1.1e5 Pa. +<details> +<summary>Toggle to expand code (constructor)</summary> + +```cpp + ChannelExampleProblem(std::shared_ptr<const GridGeometry> gridGeometry) + : ParentType(gridGeometry) + { + inletVelocity_ = getParam<Scalar>("Problem.InletVelocity"); + outletPressure_ = getParam<Scalar>("Problem.OutletPressure", 1.1e5); + } +``` +</details> + +Now, we define the type of initial and boundary conditions depending on location. +Two types of boundary conditions can be specified: Dirichlet and Neumann. On a Dirichlet boundary, +the values of the primary variables need to be fixed. +On a Neumann boundary condition, values for derivatives need to be fixed. +When Dirichlet conditions are set for the pressure, the derivative of the velocity +vector with respect to the direction normal to the boundary is automatically set to +zero. This boundary condition is called in-/outflow boundary condition in Dumux. +In the following we specify Dirichlet boundaries for velocity on the left of our domain +if isInlet_ is true, Dirichlet boundaries for pressure on the right of our domain +if isOutlet_ is true and specify Dirichlet boundaries for velocity on the top and bottom +of our domain else. +<details> +<summary>Toggle to expand code (<code>boundaryTypesAtPos</code>)</summary> + +```cpp + BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const + { + BoundaryTypes values; + + if(isInlet_(globalPos)) + { + values.setDirichlet(Indices::velocityXIdx); + values.setDirichlet(Indices::velocityYIdx); + } + else if(isOutlet_(globalPos)) + { + values.setDirichlet(Indices::pressureIdx); + } + else + { + values.setDirichlet(Indices::velocityXIdx); + values.setDirichlet(Indices::velocityYIdx); + } + + return values; + } +``` +</details> + +Second, we specify the values for the Dirichlet boundaries. We need to fix the values of our primary variables. +To ensure a no-slip boundary condition at the top and bottom of the channel, the Dirichlet velocity +in x-direction is set to zero if not at the inlet. +<details> +<summary>Toggle to expand code (<code>dirichletAtPos</code>)</summary> + +```cpp + PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const + { + PrimaryVariables values = initialAtPos(globalPos); + + if(!isInlet_(globalPos)) + { + values[Indices::velocityXIdx] = 0.0; + } + + return values; + } +``` +</details> + +We specify the values for the initial conditions. +We assign constant values for pressure and velocity components. +<details> +<summary>Toggle to expand code (<code>initialAtPos</code>)</summary> + +```cpp + PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const + { + PrimaryVariables values; + + values[Indices::pressureIdx] = outletPressure_; + values[Indices::velocityXIdx] = inletVelocity_; + values[Indices::velocityYIdx] = 0.0; + + return values; + } +``` +</details> + +We need to specify a constant temperature for our isothermal problem. +We set it to 10°C. +<details> +<summary>Toggle to expand code (<code>temperature</code>)</summary> + +```cpp + Scalar temperature() const + { return 273.15 + 10; } +private: +``` +</details> + +The inlet is at the left side of the physical domain. +<details> +<summary>Toggle to expand code (<code>isInlet_</code>)</summary> + +```cpp + bool isInlet_(const GlobalPosition& globalPos) const + { + return globalPos[0] < eps_; + } +``` +</details> + +The outlet is at the right side of the physical domain. +<details> +<summary>Toggle to expand code (<code>isOutlet_</code>)</summary> + +```cpp + bool isOutlet_(const GlobalPosition& globalPos) const + { + return globalPos[0] > this->gridGeometry().bBoxMax()[0] - eps_; + } +``` +</details> + +Finally, private variables are declared: +<details> +<summary>Toggle to expand code (private variables)</summary> + +```cpp + static constexpr Scalar eps_=1e-6; + Scalar inletVelocity_; + Scalar outletPressure_; +}; +} +#endif +``` +</details> + + + +## The file `main.cc` + + +We look now at the main file for the channel problem. +### Includes +Necessary files are included. +<details> +<summary>Toggle to expand details</summary> + +First, the Dune configuration file is include, the standard header file for C++ to get time and date information +and another standard header for in- and output. + +<details> +<summary>Toggle to expand code (includes of problem file and of standard headers)</summary> + +```cpp +#include <config.h> + +#include <ctime> +#include <iostream> +``` +</details> + +Dumux is based on DUNE, the Distributed and Unified Numerics Environment, which provides several grid managers and +linear solvers. So we need some includes from that. +<details> +<summary>Toggle to expand code (dune includes)</summary> + +```cpp +#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 <dune/istl/io.hh> +``` +</details> + +In Dumux, a property system is used to specify the model. For this, different properties are defined containing +type definitions, values and methods. All properties are declared in the file `properties.hh`. +The file `parameters.hh` contains the parameter class, which manages the definition of input parameters by a default +value, the inputfile or the command line. +The file `dumuxmessage.hh` contains the class defining the start and end message of the simulation. +The file `valgrind.hh` contains debugging funcionality. + +The file `seqsolverbackend.hh` contains the class, which defines the sequential linear solver backends. +The nonlinear Newton's method is included, as well as the assembler, which assembles the linear systems for staggered-grid finite volume schemes. +The containing class in the file `diffmethod.hh` defines the different differentiation methods used to compute the derivatives of the residual. + +We need the class in `staggeredvtkoutputmodule.hh` to simplify the writing of dumux simulation data to VTK format. +The gridmanager constructs a grid from the information in the input or grid file. There is a specification for the +different supported grid managers. + +The following class contains functionality for additional flux output to the console. +<details> +<summary>Toggle to expand code (dumux includes)</summary> + +```cpp +#include <dumux/common/properties.hh> +#include <dumux/common/parameters.hh> +#include <dumux/common/dumuxmessage.hh> +#include <dumux/common/valgrind.hh> + +#include <dumux/linear/seqsolverbackend.hh> +#include <dumux/nonlinear/newtonsolver.hh> +#include <dumux/assembly/staggeredfvassembler.hh> +#include <dumux/assembly/diffmethod.hh> + +#include <dumux/io/staggeredvtkoutputmodule.hh> +#include <dumux/io/grid/gridmanager.hh> + +#include <dumux/discretization/staggered/freeflow/properties.hh> +#include <dumux/freeflow/navierstokes/staggered/fluxoversurface.hh> +#include <dumux/freeflow/navierstokes/model.hh> + +#include <dumux/material/fluidsystems/1pliquid.hh> +#include <dumux/material/components/constant.hh> + +#include "problem.hh" +``` +</details> +</details> + + +### Setup basic properties for our simulation +We setup the DuMux properties for our simulation (click [here](https://git.iws.uni-stuttgart.de/dumux-repositories/dumux-course/blob/master/slides/dumux-course-properties.pdf) for DuMux course slides on the property system) within the namespace Properties, which is a sub-namespace of Dumux. +1. For every test problem, a new `TypeTag` has to be created, which is done within the namespace `TTag` (subnamespace of `Properties`). It inherits from the Navier-Stokes flow model and the staggered-grid discretization scheme. +2. The grid is chosen to be a two-dimensional YASP grid. +3. We set the `FluidSystem` to be a one-phase liquid with a single component. The class `Component::Constant` refers to a component with constant fluid properties (density, viscosity, ...) that can be set via the input file in the group `[0.Component]` where the number is the identifier given as template argument to the class template `Component::Constant`. +4. The problem class `ChannelExampleProblem`, which is forward declared before we enter `namespace Dumux` and defined later in this file, is defined to be the problem used in this test problem (charaterized by the TypeTag `ChannelExample`). The fluid system, which contains information about the properties such as density, viscosity or diffusion coefficient of the fluid we're simulating, is set to a constant one phase liquid. +5. We enable caching for the following classes (which stores values that were already calculated for later usage and thus results in higher memory usage but improved CPU speed): the grid volume variables, the grid flux variables, the finite volume grid geometry. + +```cpp +namespace Dumux::Properties { + +namespace TTag { +struct ChannelExample { using InheritsFrom = std::tuple<NavierStokes, StaggeredFreeFlowModel>; }; +} // namespace TTag + +template<class TypeTag> +struct Grid<TypeTag, TTag::ChannelExample> { using type = Dune::YaspGrid<2>; }; + +template<class TypeTag> +struct Problem<TypeTag, TTag::ChannelExample> { using type = Dumux::ChannelExampleProblem<TypeTag> ; }; + +template<class TypeTag> +struct FluidSystem<TypeTag, TTag::ChannelExample> +{ + using Scalar = GetPropType<TypeTag, Properties::Scalar>; + using type = FluidSystems::OnePLiquid<Scalar, Components::Constant<1, Scalar> >; +}; + +template<class TypeTag> +struct EnableGridVolumeVariablesCache<TypeTag, TTag::ChannelExample> { static constexpr bool value = true; }; + +template<class TypeTag> +struct EnableGridFluxVariablesCache<TypeTag, TTag::ChannelExample> { static constexpr bool value = true; }; + +template<class TypeTag> +struct EnableGridGeometryCache<TypeTag, TTag::ChannelExample> { static constexpr bool value = true; }; +} // end namespace Dumux::Properties +``` + + +### Beginning of the main function +We begin the main function by making the type tag `ChannelExample`, that we defined in `problem.hh` for this test problem available here. +Then we initializing the message passing interface (MPI), even if we do not plan to run the application in parallel. Finalizing of the MPI is done automatically on exit. +We continue by printing the dumux start message and parsing the command line arguments and runtimeparameters from the input file in the init function. + +```cpp +int main(int argc, char** argv) try +{ + using namespace Dumux; + + using TypeTag = Properties::TTag::ChannelExample; + + const auto& mpiHelper = Dune::MPIHelper::instance(argc, argv); + + if (mpiHelper.rank() == 0) + DumuxMessage::print(/*firstCall=*/true); + + Parameters::init(argc, argv); +``` + +### Set-up and solving of the problem + +A gridmanager tries to create the grid either from a grid file or the input file. You can learn more about grids in +Dumux in the [grid exercise](https://git.iws.uni-stuttgart.de/dumux-repositories/dumux-course/-/tree/master/exercises/exercise-grids). +Then, we compute the leaf grid view, which is the overlap of all grid levels in hierarchical grids. +We create (`std::make_shared`) and initialize (`update`) the finite volume geometry to build up the subcontrolvolumes +and subcontrolvolume faces for each element of the grid partition. +In the problem, we define the boundary and initial conditions. +We set a solution vector which has a part (indexed by `cellCenterIdx`) for degrees of freedom (`dofs`) living +in grid cell centers - pressures - and a part (indexed by `faceIdx`) for degrees of freedom livin on grid cell faces. +We initialize the solution vector by what was defined as the initial solution in `problem.hh` (`applyInitialSolution`) +and then use the solution vector to intialize the `gridVariables`. Grid variables in general contain the s +primary variables (velocities, pressures) as well as secondary variables (density, viscosity, ...). +We then initialize the vtkoutput. Each model has a predefined model-specific output with relevant parameters +for that model. Here, it is pressure, velocity, density and process rank (relevant in the case of parallelisation). + +```cpp + GridManager<GetPropType<TypeTag, Properties::Grid>> gridManager; + gridManager.init(); + + const auto& leafGridView = gridManager.grid().leafGridView(); + + using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; + auto gridGeometry = std::make_shared<GridGeometry>(leafGridView); + gridGeometry->update(); + + using Problem = GetPropType<TypeTag, Properties::Problem>; + auto problem = std::make_shared<Problem>(gridGeometry); + + using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>; + SolutionVector x; + x[GridGeometry::cellCenterIdx()].resize(gridGeometry->numCellCenterDofs()); + x[GridGeometry::faceIdx()].resize(gridGeometry->numFaceDofs()); + problem->applyInitialSolution(x); + + using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; + auto gridVariables = std::make_shared<GridVariables>(problem, gridGeometry); + gridVariables->init(x); + + using IOFields = GetPropType<TypeTag, Properties::IOFields>; + StaggeredVtkOutputModule<GridVariables, SolutionVector> vtkWriter(*gridVariables, x, problem->name()); + IOFields::initOutputModule(vtkWriter); // Add model specific output fields + vtkWriter.write(0.0); +``` + +We set up two surfaces over which fluxes are calculated. +We determine the extensions [xMin,xMax]x[yMin,yMax] of the physical domain. +The first surface (added by the first call of addSurface) shall be placed at the middle of the channel. +If we have an odd number of cells in x-direction, there would not be any cell faces +at the position of the surface (which is required for the flux calculation). +In this case, we add half a cell-width to the x-position in order to make sure that +the cell faces lie on the surface. This assumes a regular cartesian grid. +The second surface (second call of addSurface) is placed at the outlet of the channel. + +```cpp + FluxOverSurface<GridVariables, + SolutionVector, + GetPropType<TypeTag, Properties::ModelTraits>, + GetPropType<TypeTag, Properties::LocalResidual>> flux(*gridVariables, x); + + using Scalar = GetPropType<TypeTag, Properties::Scalar>; + + const Scalar xMin = gridGeometry->bBoxMin()[0]; + const Scalar xMax = gridGeometry->bBoxMax()[0]; + const Scalar yMin = gridGeometry->bBoxMin()[1]; + const Scalar yMax = gridGeometry->bBoxMax()[1]; + + const Scalar planePosMiddleX = xMin + 0.5*(xMax - xMin); + int numCellsX = getParam<std::vector<int>>("Grid.Cells")[0]; + + const unsigned int refinement = getParam<unsigned int>("Grid.Refinement", 0); + numCellsX *= (1<<refinement); + + const Scalar offsetX = (numCellsX % 2 == 0) ? 0.0 : 0.5*((xMax - xMin) / numCellsX); + + using GridView = GetPropType<TypeTag, Properties::GridView>; + using Element = typename GridView::template Codim<0>::Entity; + using GlobalPosition = typename Element::Geometry::GlobalCoordinate; + + const auto p0middle = GlobalPosition{planePosMiddleX + offsetX, yMin}; + const auto p1middle = GlobalPosition{planePosMiddleX + offsetX, yMax}; + flux.addSurface("middle", p0middle, p1middle); + + const auto p0outlet = GlobalPosition{xMax, yMin}; + const auto p1outlet = GlobalPosition{xMax, yMax}; + flux.addSurface("outlet", p0outlet, p1outlet); +``` + +The incompressible Stokes equation depends only linearly on the velocity, so we could use a linear solver to solve the problem. +Here, we use the show the more general case which would also work for incompressible fluids or the +Navier-Stokes equation. We use non-linear Newton solver for the solution. +In each step of the Newton solver, we assemble the respective linear system, including the jacobian matrix and the residual by the +`assembler`. The linear systems are here solved by the direct linear solver `UMFPack`. +As a postprocessing, we calculate mass and volume fluxes over the planes specified above. +<details> +<summary>Toggle to expand code (assembly, solution process, postprocessing)</summary> + +```cpp + using Assembler = StaggeredFVAssembler<TypeTag, DiffMethod::numeric>; + auto assembler = std::make_shared<Assembler>(problem, gridGeometry, gridVariables); + + using LinearSolver = Dumux::UMFPackBackend; + auto linearSolver = std::make_shared<LinearSolver>(); + + using NewtonSolver = Dumux::NewtonSolver<Assembler, LinearSolver>; + NewtonSolver nonLinearSolver(assembler, linearSolver); + + nonLinearSolver.solve(x); + + flux.calculateMassOrMoleFluxes(); + flux.calculateVolumeFluxes(); +``` +</details> + +### Final Output +We write the vtk output and print the mass/energy/volume fluxes over the planes. +We conclude by printing the dumux end message. After the end of the main function, +possibly catched error messages are printed. +<details> +<summary>Toggle to expand code (final output)</summary> + +```cpp + vtkWriter.write(1.0); + + if(GetPropType<TypeTag, Properties::ModelTraits>::enableEnergyBalance()) + { + std::cout << "mass / energy flux at middle is: " << flux.netFlux("middle") << std::endl; + std::cout << "mass / energy flux at outlet is: " << flux.netFlux("outlet") << std::endl; + } + else + { + std::cout << "mass flux at middle is: " << flux.netFlux("middle") << std::endl; + std::cout << "mass flux at outlet is: " << flux.netFlux("outlet") << std::endl; + } + + std::cout << "volume flux at middle is: " << flux.netFlux("middle")[0] << std::endl; + std::cout << "volume flux at outlet is: " << flux.netFlux("outlet")[0] << std::endl; + + 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; +} +``` +</details> + + +## Results +This example computes the following stationary velocity profile: + + + +and stationary pressure profile: + + diff --git a/examples/freeflowchannel/doc/intro.md b/examples/freeflowchannel/doc/intro.md new file mode 100644 index 0000000000000000000000000000000000000000..682e9dab3dcadf96b2d4742ed3c706d1f5fe317a --- /dev/null +++ b/examples/freeflowchannel/doc/intro.md @@ -0,0 +1,21 @@ +This example is based on dumux/test/freeflow/navierstokes/channel/2d. + +# Freeflow through a channel + +## Problem set-up +This example contains a stationary free flow of a fluid through two parallel solid plates in two dimensions from left to right. The figure below shows the simulation set-up. The fluid flows into the system at the left with a constant velocity of $` v = 1~\frac{\text{m}}{\text{s}} `$. The inflow velocity profile is a block profile. Due to the no-slip, no-flow boundary conditions at the top and bottom plate, the velocity profile gradually assumes a parabolic shape along the channel. At the outlet, the pressure is fixed and a zero velocity gradient in x-direction is assumed. The physical domain, which is modeled is the rectangular domain $`x\in[0,10],~y\in[0,1]`$. + + + +## Model description +The Stokes model without gravitation and without sources or sinks for a stationary, incompressible, laminar, single phase, one-component, isothermal ($`T=10^\circ C`$) flow is considered assuming a Newtonian fluid of constant density $` \varrho = 1~\frac{\text{kg}}{\text{m}^3} `$ and constant kinematic viscosity $` \nu = 1~\frac{\text{m}^2}{\text{s}} `$. The momentum balance +```math +- \nabla\cdot\left(\mu\left(\nabla\boldsymbol{u}+\nabla\boldsymbol{u}^{\text{T}}\right)\right)+ \nabla p = 0 +``` +with density $`\varrho`$, velocity $`\boldsymbol{u}`$, dynamic viscosity $`\mu=\varrho\nu`$ and pressure $`p`$ and the mass balance +```math +\nabla \cdot \left(\varrho\boldsymbol{u}\right) =0 +``` +are discretized using a staggered-grid finite-volume scheme as spatial discretization with pressures and velocity components as primary variables. For details on the discretization scheme, have a look at the dumux [handbook](https://dumux.org/handbook). + +In the following, we take a close look at the files containing the set-up: At first, boundary conditions are set in `problem.hh` for the Navier-Stokes model. Afterwards, we show the different steps for solving the model in the source file `main.cc`. At the end, we show some simulation results. diff --git a/examples/freeflowchannel/doc/results.md b/examples/freeflowchannel/doc/results.md new file mode 100644 index 0000000000000000000000000000000000000000..5fa9feff90523568413c104d416d9e7e3764c084 --- /dev/null +++ b/examples/freeflowchannel/doc/results.md @@ -0,0 +1,8 @@ +## Results +This example computes the following stationary velocity profile: + + + +and stationary pressure profile: + + diff --git a/examples/freeflowchannel/img/pressure.png b/examples/freeflowchannel/img/pressure.png new file mode 100644 index 0000000000000000000000000000000000000000..b2477eefe612c457c384687ba730b4a03f6c2f27 Binary files /dev/null and b/examples/freeflowchannel/img/pressure.png differ diff --git a/examples/freeflowchannel/img/setup.png b/examples/freeflowchannel/img/setup.png new file mode 100644 index 0000000000000000000000000000000000000000..8f1c5b7c69688f7277d7cd2166c249f352e697f1 Binary files /dev/null and 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a/examples/freeflowchannel/img/velocity.png b/examples/freeflowchannel/img/velocity.png new file mode 100644 index 0000000000000000000000000000000000000000..7f19c5273c0f446352e3fc6fca55a817276a56d0 Binary files /dev/null and b/examples/freeflowchannel/img/velocity.png differ diff --git a/examples/freeflowchannel/main.cc b/examples/freeflowchannel/main.cc new file mode 100644 index 0000000000000000000000000000000000000000..69a9bd58cdb3d0d6a65aae366c8003017f9ef794 --- /dev/null +++ b/examples/freeflowchannel/main.cc @@ -0,0 +1,314 @@ +// -*- 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/>. * + *****************************************************************************/ + +// We look now at the main file for the channel problem. +// ### Includes +// Necessary files are included. +//<details> +// <summary>Toggle to expand details</summary> +// +// First, the Dune configuration file is include, the standard header file for C++ to get time and date information +// and another standard header for in- and output. +// +//<details> +// <summary>Toggle to expand code (includes of problem file and of standard headers)</summary> +// +#include <config.h> + +#include <ctime> +#include <iostream> +// </details> +// +// Dumux is based on DUNE, the Distributed and Unified Numerics Environment, which provides several grid managers and +// linear solvers. So we need some includes from that. +//<details> +// <summary>Toggle to expand code (dune includes)</summary> +// +#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 <dune/istl/io.hh> +// </details> +// +// In Dumux, a property system is used to specify the model. For this, different properties are defined containing +// type definitions, values and methods. All properties are declared in the file `properties.hh`. +// The file `parameters.hh` contains the parameter class, which manages the definition of input parameters by a default +// value, the inputfile or the command line. +// The file `dumuxmessage.hh` contains the class defining the start and end message of the simulation. +// The file `valgrind.hh` contains debugging funcionality. +// +// The file `seqsolverbackend.hh` contains the class, which defines the sequential linear solver backends. +// The nonlinear Newton's method is included, as well as the assembler, which assembles the linear systems for staggered-grid finite volume schemes. +// The containing class in the file `diffmethod.hh` defines the different differentiation methods used to compute the derivatives of the residual. +// +// We need the class in `staggeredvtkoutputmodule.hh` to simplify the writing of dumux simulation data to VTK format. +// The gridmanager constructs a grid from the information in the input or grid file. There is a specification for the +// different supported grid managers. +// +// The following class contains functionality for additional flux output to the console. +//<details> +// <summary>Toggle to expand code (dumux includes)</summary> +// +#include <dumux/common/properties.hh> +#include <dumux/common/parameters.hh> +#include <dumux/common/dumuxmessage.hh> +#include <dumux/common/valgrind.hh> + +#include <dumux/linear/seqsolverbackend.hh> +#include <dumux/nonlinear/newtonsolver.hh> +#include <dumux/assembly/staggeredfvassembler.hh> +#include <dumux/assembly/diffmethod.hh> + +#include <dumux/io/staggeredvtkoutputmodule.hh> +#include <dumux/io/grid/gridmanager.hh> + +#include <dumux/discretization/staggered/freeflow/properties.hh> +#include <dumux/freeflow/navierstokes/staggered/fluxoversurface.hh> +#include <dumux/freeflow/navierstokes/model.hh> + +#include <dumux/material/fluidsystems/1pliquid.hh> +#include <dumux/material/components/constant.hh> + +#include "problem.hh" +// </details> +// </details> +// +// +// ### Setup basic properties for our simulation +// We setup the DuMux properties for our simulation (click [here](https://git.iws.uni-stuttgart.de/dumux-repositories/dumux-course/blob/master/slides/dumux-course-properties.pdf) for DuMux course slides on the property system) within the namespace Properties, which is a sub-namespace of Dumux. +// 1. For every test problem, a new `TypeTag` has to be created, which is done within the namespace `TTag` (subnamespace of `Properties`). It inherits from the Navier-Stokes flow model and the staggered-grid discretization scheme. +// 2. The grid is chosen to be a two-dimensional YASP grid. +// 3. We set the `FluidSystem` to be a one-phase liquid with a single component. The class `Component::Constant` refers to a component with constant fluid properties (density, viscosity, ...) that can be set via the input file in the group `[0.Component]` where the number is the identifier given as template argument to the class template `Component::Constant`. +// 4. The problem class `ChannelExampleProblem`, which is forward declared before we enter `namespace Dumux` and defined later in this file, is defined to be the problem used in this test problem (charaterized by the TypeTag `ChannelExample`). The fluid system, which contains information about the properties such as density, viscosity or diffusion coefficient of the fluid we're simulating, is set to a constant one phase liquid. +// 5. We enable caching for the following classes (which stores values that were already calculated for later usage and thus results in higher memory usage but improved CPU speed): the grid volume variables, the grid flux variables, the finite volume grid geometry. +// +namespace Dumux::Properties { + +namespace TTag { +struct ChannelExample { using InheritsFrom = std::tuple<NavierStokes, StaggeredFreeFlowModel>; }; +} // namespace TTag + +template<class TypeTag> +struct Grid<TypeTag, TTag::ChannelExample> { using type = Dune::YaspGrid<2>; }; + +template<class TypeTag> +struct Problem<TypeTag, TTag::ChannelExample> { using type = Dumux::ChannelExampleProblem<TypeTag> ; }; + +template<class TypeTag> +struct FluidSystem<TypeTag, TTag::ChannelExample> +{ + using Scalar = GetPropType<TypeTag, Properties::Scalar>; + using type = FluidSystems::OnePLiquid<Scalar, Components::Constant<1, Scalar> >; +}; + +template<class TypeTag> +struct EnableGridVolumeVariablesCache<TypeTag, TTag::ChannelExample> { static constexpr bool value = true; }; + +template<class TypeTag> +struct EnableGridFluxVariablesCache<TypeTag, TTag::ChannelExample> { static constexpr bool value = true; }; + +template<class TypeTag> +struct EnableGridGeometryCache<TypeTag, TTag::ChannelExample> { static constexpr bool value = true; }; +} // end namespace Dumux::Properties +// +// +// ### Beginning of the main function +// We begin the main function by making the type tag `ChannelExample`, that we defined in `problem.hh` for this test problem available here. +// Then we initializing the message passing interface (MPI), even if we do not plan to run the application in parallel. Finalizing of the MPI is done automatically on exit. +// We continue by printing the dumux start message and parsing the command line arguments and runtimeparameters from the input file in the init function. +// +int main(int argc, char** argv) try +{ + using namespace Dumux; + + using TypeTag = Properties::TTag::ChannelExample; + + const auto& mpiHelper = Dune::MPIHelper::instance(argc, argv); + + if (mpiHelper.rank() == 0) + DumuxMessage::print(/*firstCall=*/true); + + Parameters::init(argc, argv); + // + // ### Set-up and solving of the problem + // + // A gridmanager tries to create the grid either from a grid file or the input file. You can learn more about grids in + // Dumux in the [grid exercise](https://git.iws.uni-stuttgart.de/dumux-repositories/dumux-course/-/tree/master/exercises/exercise-grids). + // Then, we compute the leaf grid view, which is the overlap of all grid levels in hierarchical grids. + // We create (`std::make_shared`) and initialize (`update`) the finite volume geometry to build up the subcontrolvolumes + // and subcontrolvolume faces for each element of the grid partition. + // In the problem, we define the boundary and initial conditions. + // We set a solution vector which has a part (indexed by `cellCenterIdx`) for degrees of freedom (`dofs`) living + // in grid cell centers - pressures - and a part (indexed by `faceIdx`) for degrees of freedom livin on grid cell faces. + // We initialize the solution vector by what was defined as the initial solution in `problem.hh` (`applyInitialSolution`) + // and then use the solution vector to intialize the `gridVariables`. Grid variables in general contain the s + // primary variables (velocities, pressures) as well as secondary variables (density, viscosity, ...). + // We then initialize the vtkoutput. Each model has a predefined model-specific output with relevant parameters + // for that model. Here, it is pressure, velocity, density and process rank (relevant in the case of parallelisation). + // + GridManager<GetPropType<TypeTag, Properties::Grid>> gridManager; + gridManager.init(); + + const auto& leafGridView = gridManager.grid().leafGridView(); + + using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; + auto gridGeometry = std::make_shared<GridGeometry>(leafGridView); + gridGeometry->update(); + + using Problem = GetPropType<TypeTag, Properties::Problem>; + auto problem = std::make_shared<Problem>(gridGeometry); + + using SolutionVector = GetPropType<TypeTag, Properties::SolutionVector>; + SolutionVector x; + x[GridGeometry::cellCenterIdx()].resize(gridGeometry->numCellCenterDofs()); + x[GridGeometry::faceIdx()].resize(gridGeometry->numFaceDofs()); + problem->applyInitialSolution(x); + + using GridVariables = GetPropType<TypeTag, Properties::GridVariables>; + auto gridVariables = std::make_shared<GridVariables>(problem, gridGeometry); + gridVariables->init(x); + + using IOFields = GetPropType<TypeTag, Properties::IOFields>; + StaggeredVtkOutputModule<GridVariables, SolutionVector> vtkWriter(*gridVariables, x, problem->name()); + IOFields::initOutputModule(vtkWriter); // Add model specific output fields + vtkWriter.write(0.0); + // + // We set up two surfaces over which fluxes are calculated. + // We determine the extensions [xMin,xMax]x[yMin,yMax] of the physical domain. + // The first surface (added by the first call of addSurface) shall be placed at the middle of the channel. + // If we have an odd number of cells in x-direction, there would not be any cell faces + // at the position of the surface (which is required for the flux calculation). + // In this case, we add half a cell-width to the x-position in order to make sure that + // the cell faces lie on the surface. This assumes a regular cartesian grid. + // The second surface (second call of addSurface) is placed at the outlet of the channel. + // + FluxOverSurface<GridVariables, + SolutionVector, + GetPropType<TypeTag, Properties::ModelTraits>, + GetPropType<TypeTag, Properties::LocalResidual>> flux(*gridVariables, x); + + using Scalar = GetPropType<TypeTag, Properties::Scalar>; + + const Scalar xMin = gridGeometry->bBoxMin()[0]; + const Scalar xMax = gridGeometry->bBoxMax()[0]; + const Scalar yMin = gridGeometry->bBoxMin()[1]; + const Scalar yMax = gridGeometry->bBoxMax()[1]; + + const Scalar planePosMiddleX = xMin + 0.5*(xMax - xMin); + int numCellsX = getParam<std::vector<int>>("Grid.Cells")[0]; + + const unsigned int refinement = getParam<unsigned int>("Grid.Refinement", 0); + numCellsX *= (1<<refinement); + + const Scalar offsetX = (numCellsX % 2 == 0) ? 0.0 : 0.5*((xMax - xMin) / numCellsX); + + using GridView = GetPropType<TypeTag, Properties::GridView>; + using Element = typename GridView::template Codim<0>::Entity; + using GlobalPosition = typename Element::Geometry::GlobalCoordinate; + + const auto p0middle = GlobalPosition{planePosMiddleX + offsetX, yMin}; + const auto p1middle = GlobalPosition{planePosMiddleX + offsetX, yMax}; + flux.addSurface("middle", p0middle, p1middle); + + const auto p0outlet = GlobalPosition{xMax, yMin}; + const auto p1outlet = GlobalPosition{xMax, yMax}; + flux.addSurface("outlet", p0outlet, p1outlet); + // + // The incompressible Stokes equation depends only linearly on the velocity, so we could use a linear solver to solve the problem. + // Here, we use the show the more general case which would also work for incompressible fluids or the + // Navier-Stokes equation. We use non-linear Newton solver for the solution. + // In each step of the Newton solver, we assemble the respective linear system, including the jacobian matrix and the residual by the + // `assembler`. The linear systems are here solved by the direct linear solver `UMFPack`. + // As a postprocessing, we calculate mass and volume fluxes over the planes specified above. + //<details> + // <summary>Toggle to expand code (assembly, solution process, postprocessing)</summary> + // + using Assembler = StaggeredFVAssembler<TypeTag, DiffMethod::numeric>; + auto assembler = std::make_shared<Assembler>(problem, gridGeometry, gridVariables); + + using LinearSolver = Dumux::UMFPackBackend; + auto linearSolver = std::make_shared<LinearSolver>(); + + using NewtonSolver = Dumux::NewtonSolver<Assembler, LinearSolver>; + NewtonSolver nonLinearSolver(assembler, linearSolver); + + nonLinearSolver.solve(x); + + flux.calculateMassOrMoleFluxes(); + flux.calculateVolumeFluxes(); + // </details> + // + // ### Final Output + // We write the vtk output and print the mass/energy/volume fluxes over the planes. + // We conclude by printing the dumux end message. After the end of the main function, + // possibly catched error messages are printed. + //<details> + // <summary>Toggle to expand code (final output)</summary> + // + vtkWriter.write(1.0); + + if(GetPropType<TypeTag, Properties::ModelTraits>::enableEnergyBalance()) + { + std::cout << "mass / energy flux at middle is: " << flux.netFlux("middle") << std::endl; + std::cout << "mass / energy flux at outlet is: " << flux.netFlux("outlet") << std::endl; + } + else + { + std::cout << "mass flux at middle is: " << flux.netFlux("middle") << std::endl; + std::cout << "mass flux at outlet is: " << flux.netFlux("outlet") << std::endl; + } + + std::cout << "volume flux at middle is: " << flux.netFlux("middle")[0] << std::endl; + std::cout << "volume flux at outlet is: " << flux.netFlux("outlet")[0] << std::endl; + + 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; +} +// </details> +// diff --git a/examples/freeflowchannel/params.input b/examples/freeflowchannel/params.input new file mode 100644 index 0000000000000000000000000000000000000000..4f1d82a9bc42a8737d1ea1776c90276d1aae5b46 --- /dev/null +++ b/examples/freeflowchannel/params.input @@ -0,0 +1,20 @@ +[Grid] +UpperRight = 10 1 # [m] +Cells = 100 50 # [m] + +[Problem] +Name = example_ff_channel # name passed to the output routines +InletVelocity = 1 # [m/s] +EnableGravity = false +EnableInertiaTerms = false # Stokes, not Navier Stokes, in this example + +[Component] +LiquidDensity = 1.0 # [kg/m^3] +LiquidKinematicViscosity = 1.0 # [m^2/s] + +[ Newton ] +MaxSteps = 10 +MaxRelativeShift = 1e-8 + +[Vtk] +WriteFaceData = false diff --git a/examples/freeflowchannel/problem.hh b/examples/freeflowchannel/problem.hh new file mode 100644 index 0000000000000000000000000000000000000000..e9f9886d4698f3735a60b17828c79e7ad18df811 --- /dev/null +++ b/examples/freeflowchannel/problem.hh @@ -0,0 +1,188 @@ +// -*- 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/>. * + *****************************************************************************/ + +// ### Header guard +#ifndef DUMUX_CHANNEL_TEST_PROBLEM_HH +#define DUMUX_CHANNEL_TEST_PROBLEM_HH + +// +// ### The problem class +// We enter the problem class where all necessary initial and boundary conditions are set for our simulation. +// +// As this is a Stokes problem, we inherit from the basic <code>NavierStokesProblem</code>. +// <details><summary>Toggle to expand code:</summary> + +#include <dumux/freeflow/navierstokes/problem.hh> + +namespace Dumux { + +template <class TypeTag> +class ChannelExampleProblem : public NavierStokesProblem<TypeTag> +{ + // </details> + // + // We use convenient declarations that we derive from the property system. + //<details> + // <summary>Toggle to expand code (convenient declarations)</summary> + // + using ParentType = NavierStokesProblem<TypeTag>; + using BoundaryTypes = GetPropType<TypeTag, Properties::BoundaryTypes>; + using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; + using FVElementGeometry = typename GridGeometry::LocalView; + using SubControlVolumeFace = typename GridGeometry::SubControlVolumeFace; + using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices; + using NumEqVector = GetPropType<TypeTag, Properties::NumEqVector>; + using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>; + using Scalar = GetPropType<TypeTag, Properties::Scalar>; + + using Element = typename GridGeometry::GridView::template Codim<0>::Entity; + using GlobalPosition = typename Element::Geometry::GlobalCoordinate; + +public: + // </details> + // + // There follows the constructor of our problem class: + // Within the constructor, we set the inlet velocity to a run-time specified value. + // As no run-time value is specified, we set the outlet pressure to 1.1e5 Pa. + //<details> + // <summary>Toggle to expand code (constructor)</summary> + // + ChannelExampleProblem(std::shared_ptr<const GridGeometry> gridGeometry) + : ParentType(gridGeometry) + { + inletVelocity_ = getParam<Scalar>("Problem.InletVelocity"); + outletPressure_ = getParam<Scalar>("Problem.OutletPressure", 1.1e5); + } + // </details> + // + // Now, we define the type of initial and boundary conditions depending on location. + // Two types of boundary conditions can be specified: Dirichlet and Neumann. On a Dirichlet boundary, + // the values of the primary variables need to be fixed. + // On a Neumann boundary condition, values for derivatives need to be fixed. + // When Dirichlet conditions are set for the pressure, the derivative of the velocity + // vector with respect to the direction normal to the boundary is automatically set to + // zero. This boundary condition is called in-/outflow boundary condition in Dumux. + // In the following we specify Dirichlet boundaries for velocity on the left of our domain + // if isInlet_ is true, Dirichlet boundaries for pressure on the right of our domain + // if isOutlet_ is true and specify Dirichlet boundaries for velocity on the top and bottom + // of our domain else. + //<details> + // <summary>Toggle to expand code (<code>boundaryTypesAtPos</code>)</summary> + // + BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const + { + BoundaryTypes values; + + if(isInlet_(globalPos)) + { + values.setDirichlet(Indices::velocityXIdx); + values.setDirichlet(Indices::velocityYIdx); + } + else if(isOutlet_(globalPos)) + { + values.setDirichlet(Indices::pressureIdx); + } + else + { + values.setDirichlet(Indices::velocityXIdx); + values.setDirichlet(Indices::velocityYIdx); + } + + return values; + } + // </details> + // + // Second, we specify the values for the Dirichlet boundaries. We need to fix the values of our primary variables. + // To ensure a no-slip boundary condition at the top and bottom of the channel, the Dirichlet velocity + // in x-direction is set to zero if not at the inlet. + //<details> + // <summary>Toggle to expand code (<code>dirichletAtPos</code>)</summary> + // + PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const + { + PrimaryVariables values = initialAtPos(globalPos); + + if(!isInlet_(globalPos)) + { + values[Indices::velocityXIdx] = 0.0; + } + + return values; + } + // </details> + // + // We specify the values for the initial conditions. + // We assign constant values for pressure and velocity components. + //<details> + // <summary>Toggle to expand code (<code>initialAtPos</code>)</summary> + // + PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const + { + PrimaryVariables values; + + values[Indices::pressureIdx] = outletPressure_; + values[Indices::velocityXIdx] = inletVelocity_; + values[Indices::velocityYIdx] = 0.0; + + return values; + } + // </details> + // + // We need to specify a constant temperature for our isothermal problem. + // We set it to 10°C. + //<details> + // <summary>Toggle to expand code (<code>temperature</code>)</summary> + // + Scalar temperature() const + { return 273.15 + 10; } +private: + // </details> + // + // The inlet is at the left side of the physical domain. + //<details> + // <summary>Toggle to expand code (<code>isInlet_</code>)</summary> + // + bool isInlet_(const GlobalPosition& globalPos) const + { + return globalPos[0] < eps_; + } + // </details> + // + // The outlet is at the right side of the physical domain. + //<details> + // <summary>Toggle to expand code (<code>isOutlet_</code>)</summary> + // + bool isOutlet_(const GlobalPosition& globalPos) const + { + return globalPos[0] > this->gridGeometry().bBoxMax()[0] - eps_; + } + // </details> + // + // Finally, private variables are declared: + //<details> + // <summary>Toggle to expand code (private variables)</summary> + // + static constexpr Scalar eps_=1e-6; + Scalar inletVelocity_; + Scalar outletPressure_; +}; +} +#endif +// </details> +// diff --git a/test/references/example_ff_channel-reference.vtu b/test/references/example_ff_channel-reference.vtu new file mode 100644 index 0000000000000000000000000000000000000000..c285e6e8f28757f83540e1902fe84e465e808e29 --- /dev/null +++ b/test/references/example_ff_channel-reference.vtu @@ -0,0 +1,6319 @@ +<?xml version="1.0"?> +<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian"> + <UnstructuredGrid> + <Piece NumberOfCells="5000" NumberOfPoints="5151"> + <CellData Scalars="p" Vectors="velocity_liq (m/s)"> + <DataArray type="Float32" Name="p" NumberOfComponents="1" format="ascii"> + 110146 110121 110117 110116 110114 110113 110112 110111 110110 110108 110107 110106 + 110105 110104 110103 110101 110100 110099 110098 110097 110095 110094 110093 110092 + 110091 110089 110088 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