From 81dd74d20978498d5b4c471f08be0f0b1d634199 Mon Sep 17 00:00:00 2001 From: David Schneider Date: Wed, 2 Dec 2020 21:52:59 +0100 Subject: [PATCH] Add a deal.II-preCICE example --- .github/workflows/precice-ci.yml | 35 + coupled_laplace_problem/Allclean | 25 + coupled_laplace_problem/CMakeLists.txt | 51 + coupled_laplace_problem/README.md | 69 + .../coupled_laplace_problem.cc | 646 ++++++++ coupled_laplace_problem/doc/author | 2 + coupled_laplace_problem/doc/builds-on | 1 + coupled_laplace_problem/doc/dependencies | 1 + coupled_laplace_problem/doc/entry-name | 1 + coupled_laplace_problem/doc/result.gif | Bin 0 -> 359590 bytes coupled_laplace_problem/doc/tooltip | 1 + .../fancy_boundary_condition.cc | 117 ++ coupled_laplace_problem/precice-config.xml | 52 + .../test_data/reference-10.vtk | 1294 +++++++++++++++++ 14 files changed, 2295 insertions(+) create mode 100644 .github/workflows/precice-ci.yml create mode 100755 coupled_laplace_problem/Allclean create mode 100644 coupled_laplace_problem/CMakeLists.txt create mode 100644 coupled_laplace_problem/README.md create mode 100644 coupled_laplace_problem/coupled_laplace_problem.cc create mode 100644 coupled_laplace_problem/doc/author create mode 100644 coupled_laplace_problem/doc/builds-on create mode 100644 coupled_laplace_problem/doc/dependencies create mode 100644 coupled_laplace_problem/doc/entry-name create mode 100644 coupled_laplace_problem/doc/result.gif create mode 100644 coupled_laplace_problem/doc/tooltip create mode 100644 coupled_laplace_problem/fancy_boundary_condition.cc create mode 100644 coupled_laplace_problem/precice-config.xml create mode 100644 coupled_laplace_problem/test_data/reference-10.vtk diff --git a/.github/workflows/precice-ci.yml b/.github/workflows/precice-ci.yml new file mode 100644 index 0000000..6b2e20a --- /dev/null +++ b/.github/workflows/precice-ci.yml @@ -0,0 +1,35 @@ +name: PreCICE CI + +on: + push: + branches: [ master ] + pull_request: + branches: [ master ] + +jobs: + build: + + runs-on: ubuntu-latest + + steps: + - uses: actions/checkout@v2 + - name: setup + run: | + command="sudo apt-get -y update && \ + wget https://github.com/precice/precice/releases/download/v2.1.1/libprecice2_2.1.1_focal.deb && \ + sudo apt-get -y install ./libprecice2_2.1.1_focal.deb && \ + git clone https://github.com/${{ github.repository }} && \ + cd code-gallery && \ + git fetch origin ${{ github.ref }} && \ + git checkout FETCH_HEAD && \ + cd coupled_laplace_problem && \ + cmake . && \ + make && \ + (./coupled_laplace_problem 2>&1 & ./fancy_boundary_condition >fbc.log) && \ + sed -i '2d' solution-10.vtk && \ + numdiff solution-10.vtk test_data/reference-10.vtk"; + + echo $command + + docker pull dealii/dealii:v9.2.0-focal + docker run -t dealii/dealii:v9.2.0-focal /bin/sh -c "$command"; diff --git a/coupled_laplace_problem/Allclean b/coupled_laplace_problem/Allclean new file mode 100755 index 0000000..ad56970 --- /dev/null +++ b/coupled_laplace_problem/Allclean @@ -0,0 +1,25 @@ +#!/bin/sh +cd ${0%/*} || exit 1 # Run from this directory + +echo "Cleaning..." + +# Participant 1: coupled_laplace_problem +Participant1="coupled_laplace_problem" + +# Participant 2: fancy_boundary_condition +Participant2="fancy_boundary_condition" + +# Remove vtk result files +rm -fv solution-*.vtk + +# Remove the preCICE-related log files +echo "Deleting the preCICE log files..." +rm -fv \ + precice-*.log \ + precice-*-events.json + +rm -rfv precice-run +rm -fv .${Participant1}-${Participant2}.address + +echo "Cleaning complete!" +#------------------------------------------------------------------------------ diff --git a/coupled_laplace_problem/CMakeLists.txt b/coupled_laplace_problem/CMakeLists.txt new file mode 100644 index 0000000..ec2dc24 --- /dev/null +++ b/coupled_laplace_problem/CMakeLists.txt @@ -0,0 +1,51 @@ +## +# CMake script for the coupled laplace problem tutorial program: +## + +# Set the name of the project and target: +SET(TARGET "coupled_laplace_problem") + +# Declare all source files the target consists of. Here, this is only +# the one step-X.cc file, but as you expand your project you may wish +# to add other source files as well. If your project becomes much larger, +# you may want to either replace the following statement by something like +# FILE(GLOB_RECURSE TARGET_SRC "source/*.cc") +# FILE(GLOB_RECURSE TARGET_INC "include/*.h") +# SET(TARGET_SRC ${TARGET_SRC} ${TARGET_INC}) +# or switch altogether to the large project CMakeLists.txt file discussed +# in the "CMake in user projects" page accessible from the "User info" +# page of the documentation. +SET(TARGET_SRC + ${TARGET}.cc + ) + +# Usually, you will not need to modify anything beyond this point... + +CMAKE_MINIMUM_REQUIRED(VERSION 2.8.12) + +FIND_PACKAGE(deal.II 9.2.0 + HINTS ${deal.II_DIR} ${DEAL_II_DIR} ../ ../../ $ENV{DEAL_II_DIR} + ) +IF(NOT ${deal.II_FOUND}) + MESSAGE(FATAL_ERROR "\n" + "*** Could not locate a (sufficiently recent) version of deal.II. ***\n\n" + "You may want to either pass a flag -DDEAL_II_DIR=/path/to/deal.II to cmake\n" + "or set an environment variable \"DEAL_II_DIR\" that contains this path." + ) +ENDIF() + +DEAL_II_INITIALIZE_CACHED_VARIABLES() +PROJECT(${TARGET}) +DEAL_II_INVOKE_AUTOPILOT() + +FIND_PACKAGE(precice REQUIRED + HINTS ${PRECICE_DIR} + ) +MESSAGE(STATUS "Using the preCICE version found at ${precice_CONFIG}") + +TARGET_LINK_LIBRARIES(${TARGET} precice::precice) + +# In order to build the fancy_boundary_condition, the DEAL_II macros are not +# required since the code doesn't use deal.II at all. +ADD_EXECUTABLE(fancy_boundary_condition fancy_boundary_condition.cc) +TARGET_LINK_LIBRARIES(fancy_boundary_condition precice::precice) diff --git a/coupled_laplace_problem/README.md b/coupled_laplace_problem/README.md new file mode 100644 index 0000000..0f60b76 --- /dev/null +++ b/coupled_laplace_problem/README.md @@ -0,0 +1,69 @@ +Laplace equation coupled to an external simulation program +------------------------------------------ +## Overview + +preCICE allows to couple deal.II to external simulation software, such as OpenFOAM, SU2, or CalculiX. To keep dependencies of this example minimal, we couple deal.II to an external C++ program, which provides a time varying boundary condition. The deal.II code consists mainly of the [`step-4` tutorial program](https://www.dealii.org/developer/doxygen/deal.II/step_4.html), where a simple Laplace problem is solved. + +Coupling with preCICE is usually carried out along surfaces in order to apply a Dirichlet-Neumann coupling between two domains (volume coupling is also possible). For the sake of simplicity, we couple here an external C++ program in a unidirectional fashion to one side of our quadrilateral domain. The external C++ program generates a parabolic boundary profile with time varying amplitude. The boundary values are then used in the Laplace solver as a Dirichlet boundary condition. + +## Time discretization +Coupled simulations deal mostly with time-dependent problems. Hence, we make the stationary Laplace problem from step-4 time dependent. +@f{align*} + \\frac{\partial u}{\partial t}-\Delta u &= f \qquad\qquad & \text{in}\ \Omega, + \\ + u &= x^2+y^2 \qquad\qquad & \text{on}\ \partial\Omega_s, + \\ + u &= g(t) \qquad\qquad & \text{on}\ \partial\Omega_c. +@f} +with the fixed Dirichlet boundary \Omega_s, the coupling boundary \Omega_c and the time-dependent coupling data g(t). + +The system is consequently discretized by a first-order backward Euler method, resulting in +@f{align*} + \\frac{u^{n+1}-u^n}{\Delta t}-\Delta u^{n+1} &= f \qquad\qquad & \text{in}\ \Omega, +@f} +at the next time level n+1. + +## Requirements + +* `deal.II`, version `9.2` or greater. Older versions might work as well, but have not been tested. + +* [preCICE](https://github.com/precice/precice/wiki#1-get-precice), version `2.0` or greater. Have a look at the provided link for an installation guide. + +## Compiling and running + +Similar to the example programs, run +``` +cmake -DDEAL_II_DIR=/path/to/deal.II -Dprecice_DIR=/path/to/precice . +``` +in this directory to configure the problem. The explicit specification of the library locations can be omitted if they are installed globally or via environment variables. +You can then switch between debug and release mode by calling either +``` +make debug +``` +or +``` +make release +``` +This command will generate two executables: one for the `coupled_laplace_problem` and one for the `fancy_boundary_condition` participant. +``` +./coupled_laplace_problem +``` +executes the `coupled_laplace_problem`. In order to start the coupled simulation, execute +``` +./fancy_boundary_condition +``` +in the same directory from another terminal window. + +preCICE and the deal.II solver create several log files during the simulation. In order to remove all result-associated files and clean-up the simulation directory the Allclean script can be executed. + +## Results + +By default, the results are saved in each time step using `vtk` files, which can, for example, be visualized with ParaView. You should get something like: +![result](./doc/result.gif) + +## Further reading + +* A complete overview of the preCICE project can be found on the [preCICE webpage](https://www.precice.org/). +* The [source code](https://github.com/precice/precice/) of preCICE is hosted on Github. +* For more coupled deal.II codes, have a look at the [deal.II adapter repository](https://github.com/precice/dealii-adapter). In the [preCICE tutorials](https://github.com/precice/tutorials/tree/master/FSI/flap_perp_2D/OpenFOAM-deal.II), a fluid-structure interaction example is given coupling OpenFOAM (fluid dynamics) to deal.II (solid mechanics). +* [The preCICE reference paper](https://www.sciencedirect.com/science/article/abs/pii/S0045793016300974) diff --git a/coupled_laplace_problem/coupled_laplace_problem.cc b/coupled_laplace_problem/coupled_laplace_problem.cc new file mode 100644 index 0000000..072e67a --- /dev/null +++ b/coupled_laplace_problem/coupled_laplace_problem.cc @@ -0,0 +1,646 @@ +// The included deal.II header files are the same as in the other example +// programs: +#include +#include +#include + +#include +#include +#include + +#include +#include + +#include +#include +#include +#include + +#include +#include +#include +#include +#include +#include + +#include +#include +#include +// In addition to the deal.II header files, we include the preCICE API in order +// to obtain access to preCICE specific functionality +#include + +#include +#include + +using namespace dealii; + +// Configuration parameters +// +// We set up a simple hard-coded struct containing all names we need for +// external coupling. The struct includes the name of the preCICE +// configuration file as well as the name of the simulation participant, the +// name of the coupling mesh and the name of the exchanged data. The last three +// names you also find in the preCICE configuration file. For real application +// cases, these names are better handled by a parameter file. +struct CouplingParamters +{ + const std::string config_file = "precice-config.xml"; + const std::string participant_name = "laplace-solver"; + const std::string mesh_name = "dealii-mesh"; + const std::string read_data_name = "boundary-data"; +}; + + +// The Adapter class +// +// The Adapter class handles all functionalities to couple the deal.II solver +// code to other solvers with preCICE, i.e., data structures are set up and all +// relevant information is passed to preCICE. + +template +class Adapter +{ +public: + Adapter(const ParameterClass & parameters, + const types::boundary_id dealii_boundary_interface_id); + + double + initialize(const DoFHandler & dof_handler, + std::map &boundary_data, + const MappingQGeneric & mapping); + + double + advance(std::map &boundary_data, + const double computed_timestep_length); + + // public precCICE solver interface + precice::SolverInterface precice; + + // Boundary ID of the deal.II triangulation, associated with the coupling + // interface. The variable is defined in the constructor of this class and + // intentionally public so that it can be used during the grid generation and + // system assembly. The only thing, one needs to make sure is that this ID is + // unique for a particular triangulation. + const unsigned int dealii_boundary_interface_id; + +private: + // preCICE related initializations + // These variables are specified in and read from a parameter file, which is + // in this simple tutorial program the CouplingParameter struct already + // introduced in the beginning. + const std::string mesh_name; + const std::string read_data_name; + + // These IDs are filled by preCICE during the initialization. We set a default + // value of -1 in order to detect potential errors more easily. + int mesh_id; + int read_data_id; + int n_interface_nodes; + + // DoF IndexSet, containing relevant coupling DoF indices at the coupling + // boundary + IndexSet coupling_dofs; + + // Data containers which are passed to preCICE in an appropriate preCICE + // specific format + std::vector interface_nodes_ids; + std::vector read_data; + + // The MPI rank and total number of MPI ranks is required by preCICE when the + // SolverInterface is created. Since this tutorial runs only in serial mode we + // define the variables manually in this class instead of using the regular + // MPI interface. + static constexpr int this_mpi_process = 0; + static constexpr int n_mpi_processes = 1; + + // Function to transform the obtained data from preCICE into an appropriate + // map for Dirichlet boundary conditions + void + format_precice_to_dealii( + std::map &boundary_data) const; +}; + + + +// In the constructor of the Adapter class, we set up the preCICE +// SolverInterface. We need to tell preCICE our name as participant of the +// simulation and the name of the preCICE configuration file. Both have already +// been specified in the CouplingParameter class above. Thus, we pass the class +// directly to the constructor and read out all relevant information. As a +// second parameter, we need to specify the boundary ID of our triangulation, +// which is associated with the coupling interface. +template +Adapter::Adapter( + const ParameterClass & parameters, + const types::boundary_id deal_boundary_interface_id) + : precice(parameters.participant_name, + parameters.config_file, + this_mpi_process, + n_mpi_processes) + , dealii_boundary_interface_id(deal_boundary_interface_id) + , mesh_name(parameters.mesh_name) + , read_data_name(parameters.read_data_name) +{} + + + +// This function initializes preCICE (e.g. establishes communication channels +// and allocates memory) and passes all relevant data to preCICE. For surface +// coupling, relevant data is in particular the location of the data points at +// the associated interface(s). The `boundary_data` is an empty map, which is +// filled by preCICE, i.e., information of the other participant. Throughout +// the system assembly, the map can directly be used in order to apply the +// Dirichlet boundary conditions in the linear system. preCICE returns the +// maximum admissible time-step size during the initialization. +template +double +Adapter::initialize( + const DoFHandler & dof_handler, + std::map &boundary_data, + const MappingQGeneric & mapping) +{ + Assert(dim > 1, ExcNotImplemented()); + AssertDimension(dim, precice.getDimensions()); + + // In a first step, we get preCICE specific IDs from preCICE and store them in + // the respective variables. Later, they are used for data transfer. + mesh_id = precice.getMeshID(mesh_name); + read_data_id = precice.getDataID(read_data_name, mesh_id); + + + // Afterwards, we extract the number of interface nodes and the coupling DoFs + // at the coupling interface from our deal.II solver via + // `extract_boundary_dofs()` + std::set couplingBoundary; + couplingBoundary.insert(dealii_boundary_interface_id); + + // The `ComponentMask()` might be important in case we deal with vector valued + // problems, because vector valued problems have a DoF for each component. + DoFTools::extract_boundary_dofs(dof_handler, + ComponentMask(), + coupling_dofs, + couplingBoundary); + + // The coupling DoFs are used to set up the `boundary_data` map. At the end, + // we associate here each DoF with a respective boundary value. + for (const auto i : coupling_dofs) + boundary_data[i] = 0.0; + + // Since we deal with a scalar problem, the number of DoFs at the particular + // interface corresponds to the number of interface nodes. + n_interface_nodes = coupling_dofs.n_elements(); + + std::cout << "\t Number of coupling nodes: " << n_interface_nodes + << std::endl; + + // Now, we need to tell preCICE the coordinates of the interface nodes. Hence, + // we set up a std::vector to pass the node positions to preCICE. Each node is + // specified only once. + std::vector interface_nodes_positions; + interface_nodes_positions.reserve(dim * n_interface_nodes); + + // Set up the appropriate size of the data container needed for data + // exchange. Here, we deal with a scalar problem, so that only a scalar value + // is read/written per interface node. + read_data.resize(n_interface_nodes); + // The IDs are again filled by preCICE during the initializations. + interface_nodes_ids.resize(n_interface_nodes); + + // The node location is obtained using `map_dofs_to_support_points()`. + std::map> support_points; + DoFTools::map_dofs_to_support_points(mapping, dof_handler, support_points); + + // `support_points` contains now the coordinates of all DoFs. In the next + // step, the relevant coordinates are extracted using the IndexSet with the + // extracted coupling_dofs. + for (const auto element : coupling_dofs) + for (int i = 0; i < dim; ++i) + interface_nodes_positions.push_back(support_points[element][i]); + + // Now we have all information to define the coupling mesh and pass the + // information to preCICE. + precice.setMeshVertices(mesh_id, + n_interface_nodes, + interface_nodes_positions.data(), + interface_nodes_ids.data()); + + // Then, we initialize preCICE internally calling the API function + // `initialize()` + const double max_delta_t = precice.initialize(); + + + // read first coupling data from preCICE if available (i.e. deal.II is + // the second participant in a serial coupling scheme) + if (precice.isReadDataAvailable()) + { + precice.readBlockScalarData(read_data_id, + n_interface_nodes, + interface_nodes_ids.data(), + read_data.data()); + + // After receiving the coupling data in `read_data`, we convert it to + // the std::map `boundary_data` which is later needed in order to apply + // Dirichlet boundary conditions + format_precice_to_dealii(boundary_data); + } + + return max_delta_t; +} + + +// The function `advance()` is called in the main time loop after the +// computation in each time step. Here, +// coupling data is passed to and obtained from preCICE. +template +double +Adapter::advance( + std::map &boundary_data, + const double computed_timestep_length) +{ + // We specify the computed time-step length and pass it to preCICE. In + // return, preCICE tells us the maximum admissible time-step size our + // participant is allowed to compute in order to not exceed the next coupling + // time step. + const double max_delta_t = precice.advance(computed_timestep_length); + + // As a next step, we obtain data, i.e. the boundary condition, from another + // participant. We have already all IDs and just need to convert our obtained + // data to the deal.II compatible 'boundary map' , which is done in the + // format_deal_to_precice function. + precice.readBlockScalarData(read_data_id, + n_interface_nodes, + interface_nodes_ids.data(), + read_data.data()); + + format_precice_to_dealii(boundary_data); + + return max_delta_t; +} + + + +// This function takes the std::vector obtained by preCICE in `read_data` and +// inserts the values to the right position in the boundary map used throughout +// our deal.II solver for Dirichlet boundary conditions. The function is only +// used internally in the Adapter class and not called in the solver itself. The +// order, in which preCICE sorts the data in the `read_data` vector is exactly +// the same as the order of the initially passed vertices coordinates. +template +void +Adapter::format_precice_to_dealii( + std::map &boundary_data) const +{ + // We already stored the coupling DoF indices in the `boundary_data` map, so + // that we can simply iterate over all keys in the map. + auto dof_component = boundary_data.begin(); + for (int i = 0; i < n_interface_nodes; ++i) + { + AssertIndexRange(i, read_data.size()); + boundary_data[dof_component->first] = read_data[i]; + ++dof_component; + } +} + + +// The solver class is essentially the same as in step-4. We only extend the +// stationary problem to a time-dependent problem and introduced the coupling. +// Comments are added at any point, where the workflow differs from step-4. +template +class CoupledLaplaceProblem +{ +public: + CoupledLaplaceProblem(); + + void + run(); + +private: + void + make_grid(); + void + setup_system(); + void + assemble_system(); + void + solve(); + void + output_results() const; + + Triangulation triangulation; + FE_Q fe; + DoFHandler dof_handler; + MappingQ1 mapping; + + SparsityPattern sparsity_pattern; + SparseMatrix system_matrix; + + Vector solution; + Vector old_solution; + Vector system_rhs; + + // We allocate all structures required for the preCICE coupling: The map + // is used to apply Dirichlet boundary conditions and filled in the Adapter + // class with data from the other participant. The CouplingParameters hold the + // preCICE configuration as described above. The interface boundary ID is the + // ID associated to our coupling interface and needs to be specified, when we + // set up the Adapter class object, because we pass it directly to the + // Constructor of this class. + std::map boundary_data; + CouplingParamters parameters; + const types::boundary_id interface_boundary_id; + Adapter adapter; + + // The time-step size delta_t is the acutual time-step size used for all + // computations. The preCICE time-step size is obtained by preCICE in order to + // ensure a synchronization at all coupling time steps. The solver time + // step-size is the desired time-step size of our individual solver. In more + // sophisticated computations, it might be determined adaptively. The + // `time_step` counter is just used for the time-step number. + double delta_t; + double precice_delta_t; + const double solver_delta_t = 0.1; + unsigned int time_step = 0; +}; + + + +template +class RightHandSide : public Function +{ +public: + virtual double + value(const Point &p, const unsigned int component = 0) const override; +}; + + + +template +class BoundaryValues : public Function +{ +public: + virtual double + value(const Point &p, const unsigned int component = 0) const override; +}; + +template +double +RightHandSide::value(const Point &p, + const unsigned int /*component*/) const +{ + double return_value = 0.0; + for (unsigned int i = 0; i < dim; ++i) + return_value += 4.0 * std::pow(p(i), 4.0); + + return return_value; +} + + +template +double +BoundaryValues::value(const Point &p, + const unsigned int /*component*/) const +{ + return p.square(); +} + + + +template +CoupledLaplaceProblem::CoupledLaplaceProblem() + : fe(1) + , dof_handler(triangulation) + , interface_boundary_id(1) + , adapter(parameters, interface_boundary_id) +{} + + +template +void +CoupledLaplaceProblem::make_grid() +{ + GridGenerator::hyper_cube(triangulation, -1, 1); + triangulation.refine_global(4); + + for (const auto &cell : triangulation.active_cell_iterators()) + for (const auto face : cell->face_iterators()) + { + // We choose the boundary in positive x direction for the + // interface coupling. + if (face->at_boundary() && (face->center()[0] == 1)) + face->set_boundary_id(interface_boundary_id); + } + + std::cout << " Number of active cells: " << triangulation.n_active_cells() + << std::endl + << " Total number of cells: " << triangulation.n_cells() + << std::endl; +} + + +template +void +CoupledLaplaceProblem::setup_system() +{ + dof_handler.distribute_dofs(fe); + + std::cout << " Number of degrees of freedom: " << dof_handler.n_dofs() + << std::endl; + + DynamicSparsityPattern dsp(dof_handler.n_dofs()); + DoFTools::make_sparsity_pattern(dof_handler, dsp); + sparsity_pattern.copy_from(dsp); + + system_matrix.reinit(sparsity_pattern); + + solution.reinit(dof_handler.n_dofs()); + old_solution.reinit(dof_handler.n_dofs()); + system_rhs.reinit(dof_handler.n_dofs()); +} + + + +template +void +CoupledLaplaceProblem::assemble_system() +{ + // Reset global structures + system_rhs = 0; + system_matrix = 0; + // Update old solution values + old_solution = solution; + + QGauss quadrature_formula(fe.degree + 1); + + RightHandSide right_hand_side; + + FEValues fe_values(fe, + quadrature_formula, + update_values | update_gradients | + update_quadrature_points | update_JxW_values); + + const unsigned int dofs_per_cell = fe.n_dofs_per_cell(); + + FullMatrix cell_matrix(dofs_per_cell, dofs_per_cell); + Vector cell_rhs(dofs_per_cell); + std::vector local_dof_indices(dofs_per_cell); + // The solution values from previous time steps are stored for each quadrature + // point + std::vector local_values_old_solution(fe_values.n_quadrature_points); + + for (const auto &cell : dof_handler.active_cell_iterators()) + { + fe_values.reinit(cell); + cell_matrix = 0; + cell_rhs = 0; + // Get the local values from the `fe_values' object + fe_values.get_function_values(old_solution, local_values_old_solution); + + // The system matrix contains additionally a mass matrix due to the time + // discretization. The RHS has contributions from the old solution values. + for (const unsigned int q_index : fe_values.quadrature_point_indices()) + for (const unsigned int i : fe_values.dof_indices()) + { + for (const unsigned int j : fe_values.dof_indices()) + cell_matrix(i, j) += + ((fe_values.shape_value(i, q_index) * // phi_i(x_q) + fe_values.shape_value(j, q_index)) + // phi_j(x_q) + (delta_t * // delta t + fe_values.shape_grad(i, q_index) * // grad phi_i(x_q) + fe_values.shape_grad(j, q_index))) * // grad phi_j(x_q) + fe_values.JxW(q_index); // dx + + const auto x_q = fe_values.quadrature_point(q_index); + const auto &local_value = local_values_old_solution[q_index]; + cell_rhs(i) += ((delta_t * // delta t + fe_values.shape_value(i, q_index) * // phi_i(x_q) + right_hand_side.value(x_q)) + // f(x_q) + fe_values.shape_value(i, q_index) * + local_value) * // phi_i(x_q)*val + fe_values.JxW(q_index); // dx + } + + // Copy local to global + cell->get_dof_indices(local_dof_indices); + for (const unsigned int i : fe_values.dof_indices()) + { + for (const unsigned int j : fe_values.dof_indices()) + system_matrix.add(local_dof_indices[i], + local_dof_indices[j], + cell_matrix(i, j)); + + system_rhs(local_dof_indices[i]) += cell_rhs(i); + } + } + { + // At first, we apply the Dirichlet boundary condition from step-4, as + // usual. + std::map boundary_values; + VectorTools::interpolate_boundary_values(dof_handler, + 0, + BoundaryValues(), + boundary_values); + MatrixTools::apply_boundary_values(boundary_values, + system_matrix, + solution, + system_rhs); + } + { + // Afterwards, we apply the coupling boundary condition. The `boundary_data` + // has already been filled by preCICE. + MatrixTools::apply_boundary_values(boundary_data, + system_matrix, + solution, + system_rhs); + } +} + + + +template +void +CoupledLaplaceProblem::solve() +{ + SolverControl solver_control(1000, 1e-12); + SolverCG> solver(solver_control); + solver.solve(system_matrix, solution, system_rhs, PreconditionIdentity()); + + std::cout << " " << solver_control.last_step() + << " CG iterations needed to obtain convergence." << std::endl; +} + + + +template +void +CoupledLaplaceProblem::output_results() const +{ + DataOut data_out; + + data_out.attach_dof_handler(dof_handler); + data_out.add_data_vector(solution, "solution"); + + data_out.build_patches(mapping); + + std::ofstream output("solution-" + std::to_string(time_step) + ".vtk"); + data_out.write_vtk(output); +} + + + +template +void +CoupledLaplaceProblem::run() +{ + std::cout << "Solving problem in " << dim << " space dimensions." + << std::endl; + + make_grid(); + setup_system(); + + // After we set up the system, we initialize preCICE using the functionalities + // of the Adapter. preCICE returns the maximum admissible time-step size, + // which needs to be compared to our desired solver time-step size. + precice_delta_t = adapter.initialize(dof_handler, boundary_data, mapping); + delta_t = std::min(precice_delta_t, solver_delta_t); + + // preCICE steers the coupled simulation: `isCouplingOngoing` is + // used to synchronize the end of the simulation with the coupling partner + while (adapter.precice.isCouplingOngoing()) + { + // The time step number is solely used to generate unique output files + ++time_step; + // In the time loop, we assemble the coupled system and solve it as + // usual. + assemble_system(); + solve(); + + // After we solved the system, we advance the coupling to the next time + // level. In a bi-directional coupled simulation, we would pass our + // calculated data to and obtain new data from preCICE. Here, we simply + // obtain new data from preCICE, so from the other participant. As before, + // we obtain a maximum time-step size and compare it against the desired + // solver time-step size. + precice_delta_t = adapter.advance(boundary_data, delta_t); + delta_t = std::min(precice_delta_t, solver_delta_t); + + // Write an output file if the time step is completed. In case of an + // implicit coupling, where individual time steps are computed more than + // once, the function `isTimeWindowCompleted` prevents unnecessary result + // writing. For this simple tutorial configuration (explicit coupling), + // the function returns always `true`. + if (adapter.precice.isTimeWindowComplete()) + output_results(); + } +} + + + +int +main() +{ + CoupledLaplaceProblem<2> laplace_problem; + laplace_problem.run(); + + return 0; +} diff --git a/coupled_laplace_problem/doc/author b/coupled_laplace_problem/doc/author new file mode 100644 index 0000000..f236ba2 --- /dev/null +++ b/coupled_laplace_problem/doc/author @@ -0,0 +1,2 @@ +David Schneider +Benjamin Uekermann diff --git a/coupled_laplace_problem/doc/builds-on b/coupled_laplace_problem/doc/builds-on new file mode 100644 index 0000000..48a0f73 --- /dev/null +++ b/coupled_laplace_problem/doc/builds-on @@ -0,0 +1 @@ +step-4 diff --git a/coupled_laplace_problem/doc/dependencies b/coupled_laplace_problem/doc/dependencies new file mode 100644 index 0000000..8b501d8 --- /dev/null +++ b/coupled_laplace_problem/doc/dependencies @@ -0,0 +1 @@ +preCICE diff --git a/coupled_laplace_problem/doc/entry-name b/coupled_laplace_problem/doc/entry-name new file mode 100644 index 0000000..e28d1e6 --- /dev/null +++ b/coupled_laplace_problem/doc/entry-name @@ -0,0 +1 @@ +Laplace equation coupled to an external simulation program diff --git a/coupled_laplace_problem/doc/result.gif b/coupled_laplace_problem/doc/result.gif new file mode 100644 index 0000000000000000000000000000000000000000..4f79cfde820b9c8b9fdf7edf3864de52159f9027 GIT binary patch literal 359590 zcmeEtWm6nXu=TJ*0OtVgQvf~;K=1}2f&*wD z0CcYa1~`E68Nl}j5FP@^zyX@i0PQz`ISgQR1+aPr*uw!14*>T!fX_3)_W|Gw2gKX} zV%`9;&w#iGK! 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Values run from -0.5 to 0.5 + const double amplitude = (relative_time - 0.5); + // Specify the actual data we want to pass to the other participant. Here, we + // choose a parabola with boundary values 2 in order to enforce continuity + // to adjacent boundaries. + const double n_elements = boundary_data.size(); + const double right_zero = boundary_data.size() - 1; + const double left_zero = 0; + const double offset = 2; + for (uint i = 0; i < n_elements; ++i) + boundary_data[i] = + -amplitude * ((i - left_zero) * (i - right_zero)) + offset; +} + + +int +main() +{ + std::cout << "Boundary participant: starting... \n"; + + // Configuration + const std::string configFileName("precice-config.xml"); + const std::string solverName("boundary-participant"); + const std::string meshName("boundary-mesh"); + const std::string dataWriteName("boundary-data"); + + // Adjust to MPI rank and size for parallel computation + const int commRank = 0; + const int commSize = 1; + + precice::SolverInterface precice(solverName, + configFileName, + commRank, + commSize); + + const int meshID = precice.getMeshID(meshName); + const int dimensions = precice.getDimensions(); + const int numberOfVertices = 6; + + const int dataID = precice.getDataID(dataWriteName, meshID); + + // Set up data structures + std::vector writeData(numberOfVertices); + std::vector vertexIDs(numberOfVertices); + std::vector vertices(numberOfVertices * dimensions); + + // Define a boundary mesh + std::cout << "Boundary participant: defining boundary mesh \n"; + const double length = 2; + const double xCoord = 1; + const double deltaY = length / (numberOfVertices - 1); + for (int i = 0; i < numberOfVertices; ++i) + for (int j = 0; j < dimensions; ++j) + { + const unsigned int index = dimensions * i + j; + // The x-coordinate is always 1, i.e., the boundary is parallel to the + // y-axis. The y-coordinate is descending from 1 to -1. + if (j == 0) + vertices[index] = xCoord; + else + vertices[index] = 1 - deltaY * i; + } + + // Pass the vertices to preCICE + precice.setMeshVertices(meshID, + numberOfVertices, + vertices.data(), + vertexIDs.data()); + + // initialize the Solverinterface + double dt = precice.initialize(); + + // Start time loop + const double end_time = 1; + double time = 0; + while (precice.isCouplingOngoing()) + { + // Generate new boundary data + define_boundary_values(writeData, time, end_time); + + { + std::cout << "Boundary participant: writing coupling data \n"; + precice.writeBlockScalarData(dataID, + numberOfVertices, + vertexIDs.data(), + writeData.data()); + } + + dt = precice.advance(dt); + std::cout << "Boundary participant: advancing in time\n"; + + time += dt; + } + + std::cout << "Boundary participant: closing...\n"; + + return 0; +} diff --git a/coupled_laplace_problem/precice-config.xml b/coupled_laplace_problem/precice-config.xml new 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3.0574 2.31738 2.64769 2.19774 2.50081 2.64769 3.0574 2.50081 2.8758 3.1853 3.71346 3.0574 3.557 3.71346 4.34499 3.557 4.15312 3.0574 3.557 2.8758 3.33261 3.557 4.15312 3.33261 3.88415 1.53733 1.63552 1.46473 1.54546 1.63552 1.7733 1.54546 1.6642 1.46473 1.54546 1.36123 1.42186 1.54546 1.6642 1.42186 1.51859 1.7733 1.95803 1.6642 1.82684 1.95803 2.19774 1.82684 2.03968 1.6642 1.82684 1.51859 1.6556 1.82684 2.03968 1.6556 1.8373 1.36123 1.42186 1.21316 1.2518 1.42186 1.51859 1.2518 1.32426 1.21316 1.2518 1 1.01562 1.2518 1.32426 1.01562 1.0625 1.51859 1.6556 1.32426 1.43283 1.6556 1.8373 1.43283 1.57989 1.32426 1.43283 1.0625 1.14062 1.43283 1.57989 1.14062 1.25 2.19774 2.50081 2.03968 2.30883 2.50081 2.8758 2.30883 2.63931 2.03968 2.30883 1.8373 2.0675 2.30883 2.63931 2.0675 2.34742 2.8758 3.33261 2.63931 3.03526 3.33261 3.88415 3.03526 3.5131 2.63931 3.03526 2.34742 2.67101 3.03526 3.5131 2.67101 3.01884 1.8373 2.0675 1.57989 1.76732 2.0675 2.34742 1.76732 1.99471 1.57989 1.76732 1.25 1.39062 1.76732 1.99471 1.39062 1.5625 2.34742 2.67101 1.99471 2.25323 2.67101 3.01884 2.25323 2.49069 1.99471 2.25323 1.5625 1.76562 2.25323 2.49069 1.76562 2 -- 2.39.5