Functions
int	main (int argc, char **argv)
Function Documentation

◆ main()

int main	(	int	argc,
		char **	argv
	)
Definition at line 77 of file reduced_basis_ex1.C.
{
  // Initialize libMesh.
  LibMeshInit init (argc, argv);
 
  // This example requires a linear solver package.
  libmesh_example_requires(libMesh::default_solver_package() != INVALID_SOLVER_PACKAGE,
                           "--enable-petsc, --enable-trilinos, or --enable-eigen");
 
#if !defined(LIBMESH_HAVE_XDR)
  // We need XDR support to write out reduced bases
  libmesh_example_requires(false, "--enable-xdr");
#elif defined(LIBMESH_DEFAULT_SINGLE_PRECISION)
  // XDR binary support requires double precision
  libmesh_example_requires(false, "--disable-singleprecision");
#endif
  // FIXME: This example currently segfaults with Trilinos?  It works
  // with PETSc and Eigen sparse linear solvers though.
  libmesh_example_requires(libMesh::default_solver_package() != TRILINOS_SOLVERS, "--enable-petsc");
 
  // Skip this 2D example if libMesh was compiled as 1D-only.
  libmesh_example_requires(2 <= LIBMESH_DIM, "2D support");
 
#ifndef LIBMESH_ENABLE_DIRICHLET
  libmesh_example_requires(false, "--enable-dirichlet");
#else
 
  // Parse the input file (reduced_basis_ex1.in) using GetPot
  std::string parameters_filename = "reduced_basis_ex1.in";
  GetPot infile(parameters_filename);
 
  // But allow the command line to override it
  infile.parse_command_line(argc, argv);
 
  unsigned int n_elem = infile("n_elem", 1);       // Determines the number of elements in the "truth" mesh
  const unsigned int dim = 2;                      // The number of spatial dimensions
 
  bool store_basis_functions = infile("store_basis_functions", true); // Do we write the RB basis functions to disk?
 
  // Read the "online_mode" flag from the command line
  const int online_mode = libMesh::command_line_next("-online_mode", 0);
 
  // Build a mesh on the default MPI communicator.
  Mesh mesh (init.comm(), dim);
  MeshTools::Generation::build_square (mesh,
                                       n_elem, n_elem,
                                       0., 1.,
                                       0., 1.,
                                       QUAD4);
 
  // Create an equation systems object.
  EquationSystems equation_systems (mesh);
 
  // We override RBConstruction with SimpleRBConstruction in order to
  // specialize a few functions for this particular problem.
  SimpleRBConstruction & rb_con =
    equation_systems.add_system<SimpleRBConstruction> ("RBConvectionDiffusion");
 
  // Initialize the data structures for the equation system.
  equation_systems.init ();
 
  // Print out some information about the "truth" discretization
  equation_systems.print_info();
  mesh.print_info();
 
  // Build a new RBEvaluation object which will be used to perform
  // Reduced Basis calculations. This is required in both the
  // "Offline" and "Online" stages.
  SimpleRBEvaluation rb_eval(mesh.comm());
 
  // We need to give the RBConstruction object a pointer to
  // our RBEvaluation object
  rb_con.set_rb_evaluation(rb_eval);
 
  if (!online_mode) // Perform the Offline stage of the RB method
    {
      // Read in the data that defines this problem from the specified text file
      rb_con.process_parameters_file(parameters_filename);
 
      // Print out info that describes the current setup of rb_con
      rb_con.print_info();
 
      // Prepare rb_con for the Construction stage of the RB method.
      // This sets up the necessary data structures and performs
      // initial assembly of the "truth" affine expansion of the PDE.
      rb_con.initialize_rb_construction();
 
      // Compute the reduced basis space by computing "snapshots", i.e.
      // "truth" solves, at well-chosen parameter values and employing
      // these snapshots as basis functions.
      rb_con.train_reduced_basis();
 
      // Write out the data that will subsequently be required for the Evaluation stage
#if defined(LIBMESH_HAVE_CAPNPROTO)
      RBDataSerialization::RBEvaluationSerialization rb_eval_writer(rb_con.get_rb_evaluation());
      rb_eval_writer.write_to_file("rb_eval.bin");
#else
      rb_con.get_rb_evaluation().legacy_write_offline_data_to_files();
#endif
 
      // If requested, write out the RB basis functions for visualization purposes
      if (store_basis_functions)
        {
          // Write out the basis functions
          rb_con.get_rb_evaluation().write_out_basis_functions(rb_con);
        }
 
      // Basis functions should be orthonormal, so
      // print out the inner products to check this
      rb_con.print_basis_function_orthogonality();
    }
  else // Perform the Online stage of the RB method
    {
      // Read in the reduced basis data
#if defined(LIBMESH_HAVE_CAPNPROTO)
      RBDataDeserialization::RBEvaluationDeserialization rb_eval_reader(rb_eval);
      rb_eval_reader.read_from_file("rb_eval.bin", /*read_error_bound_data*/ true);
#else
      rb_eval.legacy_read_offline_data_from_files();
#endif
 
      // Read in online_N and initialize online parameters
      unsigned int online_N = infile("online_N", 1);
      Real online_x_vel = infile("online_x_vel", 0.);
      Real online_y_vel = infile("online_y_vel", 0.);
      RBParameters online_mu;
      online_mu.set_value("x_vel", online_x_vel);
      online_mu.set_value("y_vel", online_y_vel);
      rb_eval.set_parameters(online_mu);
      rb_eval.print_parameters();
 
      // Now do the Online solve using the precomputed reduced basis
      rb_eval.rb_solve(online_N);
 
      // Print out outputs as well as the corresponding output error bounds.
      libMesh::out << "output 1, value = " << rb_eval.RB_outputs[0]
                   << ", bound = " << rb_eval.RB_output_error_bounds[0]
                   << std::endl;
      libMesh::out << "output 2, value = " << rb_eval.RB_outputs[1]
                   << ", bound = " << rb_eval.RB_output_error_bounds[1]
                   << std::endl;
      libMesh::out << "output 3, value = " << rb_eval.RB_outputs[2]
                   << ", bound = " << rb_eval.RB_output_error_bounds[2]
                   << std::endl;
      libMesh::out << "output 4, value = " << rb_eval.RB_outputs[3]
                   << ", bound = " << rb_eval.RB_output_error_bounds[3]
                   << std::endl << std::endl;
 
      if (store_basis_functions)
        {
          // Read in the basis functions
          rb_eval.read_in_basis_functions(rb_con);
 
          // Plot the solution
          rb_con.load_rb_solution();
#ifdef LIBMESH_HAVE_EXODUS_API
          ExodusII_IO(mesh).write_equation_systems ("RB_sol.e", equation_systems);
#endif
 
          // Plot the first basis function that was generated from the train_reduced_basis
          // call in the Offline stage
          rb_con.load_basis_function(0);
#ifdef LIBMESH_HAVE_EXODUS_API
          ExodusII_IO(mesh).write_equation_systems ("bf0.e", equation_systems);
#endif
        }
    }
 
#endif // LIBMESH_ENABLE_DIRICHLET
 
  return 0;
}
Functions

Function Documentation

◆ main()
