MeshFunctionTest Class Reference

Inheritance diagram for MeshFunctionTest:

Public Member Functions
	LIBMESH_CPPUNIT_TEST_SUITE (MeshFunctionTest)
	Tests for general MeshFunction capability. More...
	CPPUNIT_TEST (test_subdomain_id_sets)
	CPPUNIT_TEST (vectorMeshFunctionLagrange)
	CPPUNIT_TEST (vectorMeshFunctionNedelec)
	CPPUNIT_TEST (vectorMeshFunctionRaviartThomas)
	CPPUNIT_TEST (mixedScalarAndVectorVariables)
	CPPUNIT_TEST (test_p_level)
	CPPUNIT_TEST_SUITE_END ()
void	setUp ()
void	tearDown ()
void	test_subdomain_id_sets ()
void	test_p_level ()
DenseVector< Number >	read_variable_info_from_output_data (const std::string &mesh_name, const std::string &solutions_name)
void	vectorMeshFunctionLagrange ()
void	vectorMeshFunctionNedelec ()
void	vectorMeshFunctionRaviartThomas ()
void	mixedScalarAndVectorVariables ()

Detailed Description

Definition at line 37 of file mesh_function.C.

Member Function Documentation

CPPUNIT_TEST() [1/6]

MeshFunctionTest::CPPUNIT_TEST

(

test_subdomain_id_sets

)

CPPUNIT_TEST() [2/6]

MeshFunctionTest::CPPUNIT_TEST

(

vectorMeshFunctionLagrange

)

CPPUNIT_TEST() [3/6]

MeshFunctionTest::CPPUNIT_TEST

(

vectorMeshFunctionNedelec

)

CPPUNIT_TEST() [4/6]

MeshFunctionTest::CPPUNIT_TEST

(

vectorMeshFunctionRaviartThomas

)

CPPUNIT_TEST() [5/6]

MeshFunctionTest::CPPUNIT_TEST

(

mixedScalarAndVectorVariables

)

CPPUNIT_TEST() [6/6]

MeshFunctionTest::CPPUNIT_TEST

(

test_p_level

)

CPPUNIT_TEST_SUITE_END()

MeshFunctionTest::CPPUNIT_TEST_SUITE_END

(

)

LIBMESH_CPPUNIT_TEST_SUITE()

MeshFunctionTest::LIBMESH_CPPUNIT_TEST_SUITE

(

MeshFunctionTest

)

Tests for general MeshFunction capability.

mixedScalarAndVectorVariables()

void MeshFunctionTest::mixedScalarAndVectorVariables ( )

inline

Definition at line 336 of file mesh_function.C.

References libMesh::libmesh_real(), and libMesh::TOLERANCE.

  {
    LOG_UNIT_TEST;

    // Populating the solution data using a helper function
    DenseVector<Number> output = read_variable_info_from_output_data("solutions/raviart_thomas_solution_mesh.xda","solutions/raviart_thomas_solution.xda");
    Gradient output_raviart_thomas = VectorValue(output(0),output(1));

    // Expected value at center mesh
    Gradient raviart_thomas_expected = VectorValue(0.0772539939808116,-0.0772537479511396);
    Number monomial_expected = -0.44265566716952;
    Number scalar_expected = -2.86546e-18;

    // Checking Raviart Thomas variable family values
    LIBMESH_ASSERT_FP_EQUAL(libMesh::libmesh_real(output_raviart_thomas(0)), libMesh::libmesh_real(raviart_thomas_expected(0)),
                            TOLERANCE * TOLERANCE);
    LIBMESH_ASSERT_FP_EQUAL(libMesh::libmesh_real(output_raviart_thomas(1)), libMesh::libmesh_real(raviart_thomas_expected(1)),
                            TOLERANCE * TOLERANCE);
    // Checking Monomial variable family value
    LIBMESH_ASSERT_FP_EQUAL(libMesh::libmesh_real(output(2)), libMesh::libmesh_real(monomial_expected),
                            TOLERANCE * TOLERANCE);
    // Checking scalar variable family value
    LIBMESH_ASSERT_FP_EQUAL(libMesh::libmesh_real(output(3)), libMesh::libmesh_real(scalar_expected),
                            TOLERANCE * TOLERANCE);
  }

read_variable_info_from_output_data()

DenseVector<Number> MeshFunctionTest::read_variable_info_from_output_data ( const std::string &  mesh_name, const std::string &  solutions_name  )

inline

Definition at line 234 of file mesh_function.C.

References libMesh::NumericVector< T >::build(), libMesh::ParallelObject::comm(), libMesh::System::get_all_variable_numbers(), libMesh::System::get_dof_map(), libMesh::EquationSystems::get_system(), libMesh::MeshFunction::init(), mesh, libMesh::System::n_dofs(), libMesh::READ, libMesh::EquationSystems::read(), libMesh::MeshBase::read(), libMesh::EquationSystems::READ_ADDITIONAL_DATA, libMesh::EquationSystems::READ_DATA, libMesh::EquationSystems::READ_HEADER, libMesh::SERIAL, libMesh::System::solution, TestCommWorld, and libMesh::EquationSystems::update().

  {
    DenseVector<Number> output;

    // Reading mesh and solution information from XDA files
    ReplicatedMesh mesh(*TestCommWorld);
    mesh.read(mesh_name);
    EquationSystems es(mesh);
    es.read(solutions_name, READ,
            EquationSystems::READ_HEADER |
                EquationSystems::READ_DATA |
                EquationSystems::READ_ADDITIONAL_DATA);
    es.update();

    // Pulling the correct system and variable information from
    // the XDA files (the default system name is "nl0")
    System & sys = es.get_system<System>("nl0");
    std::unique_ptr<NumericVector<Number>> mesh_function_vector =
        NumericVector<Number>::build(es.comm());
    mesh_function_vector->init(sys.n_dofs(), false, SERIAL);
    sys.solution->localize(*mesh_function_vector);

    // Pulling the total number of variables stored in XDA file
    std::vector<unsigned int> variables;
    sys.get_all_variable_numbers(variables);
    std::sort(variables.begin(),variables.end());

    // Setting up libMesh::MeshFunction
    MeshFunction mesh_function(es, *mesh_function_vector,
                                sys.get_dof_map(), variables);
    mesh_function.init();

    // Defining input parameters for MeshFunction::operator()
    const std::set<subdomain_id_type> * subdomain_ids = nullptr;
    const Point & p = Point(0.5, 0.5);

    // Supplying the variable values at center of mesh to output
    (mesh_function)(p, 0.0, output, subdomain_ids);

    return output;
  }

setUp()

void MeshFunctionTest::setUp ( )

inline

Definition at line 65 of file mesh_function.C.

{}

tearDown()

void MeshFunctionTest::tearDown ( )

inline

Definition at line 67 of file mesh_function.C.

{}

test_p_level()

void MeshFunctionTest::test_p_level ( )

inline

Definition at line 160 of file mesh_function.C.

References libMesh::EquationSystems::add_system(), libMesh::System::add_variable(), libMesh::NumericVector< T >::build(), libMesh::MeshTools::Generation::build_cube(), libMesh::ParallelObject::comm(), libMesh::FIRST, libMesh::System::get_dof_map(), libMesh::System::get_equation_systems(), libMesh::DofMap::get_send_list(), libMesh::GHOSTED, libMesh::HEX20, libMesh::EquationSystems::init(), libMesh::LAGRANGE, mesh, libMesh::System::n_dofs(), libMesh::System::n_local_dofs(), libMesh::EquationSystems::parameters, libMesh::System::project_solution(), projection_function(), libMesh::System::solution, TestCommWorld, and libMesh::TOLERANCE.

  {
    LOG_UNIT_TEST;

    ReplicatedMesh mesh(*TestCommWorld);

    MeshTools::Generation::build_cube (mesh,
                                       5, 5, 5,
                                       0., 1.,
                                       0., 1.,
                                       0., 1.,
                                       HEX20);

    // Bump the p-level for all elements. We will create a system with
    // a FIRST, LAGRANGE variable and then use the additional p-level
    // to solve with quadratic elements. Note: set_p_level(1) actually
    // _increases_ the existing variable order by 1, it does not set
    // it to 1.
    for (auto & elem : mesh.active_element_ptr_range())
      elem->set_p_level(1);

    EquationSystems es(mesh);
    System & sys = es.add_system<System> ("SimpleSystem");
    unsigned int u_var = sys.add_variable("u", FIRST, LAGRANGE);

    es.init();
    sys.project_solution(projection_function, nullptr, es.parameters);


    std::unique_ptr<NumericVector<Number>> mesh_function_vector
      = NumericVector<Number>::build(sys.comm());
    mesh_function_vector->init(sys.n_dofs(), sys.n_local_dofs(),
                               sys.get_dof_map().get_send_list(), false,
                               GHOSTED);

    sys.solution->localize(*mesh_function_vector,
                           sys.get_dof_map().get_send_list());


    // So the MeshFunction knows which variables to compute values for.
    // std::make_unique doesn't like if we try to use {u_var} in-place?
    std::vector<unsigned int> variables {u_var};

    auto mesh_function =
      std::make_unique<MeshFunction>(sys.get_equation_systems(),
                                        *mesh_function_vector,
                                        sys.get_dof_map(),
                                        variables);

    mesh_function->init();
    mesh_function->set_point_locator_tolerance(0.0001);
    DenseVector<Number> vec_values;
    std::string dummy;

    // Make sure the MeshFunction's values interpolate the projected solution
    // at the nodes
    for (const auto & node : mesh.local_node_ptr_range())
      {
        (*mesh_function)(*node, /*time=*/ 0., vec_values);
        Number mesh_function_value =
          projection_function(*node,
                              es.parameters,
                              dummy,
                              dummy);

        LIBMESH_ASSERT_NUMBERS_EQUAL
          (vec_values(0), mesh_function_value, TOLERANCE*TOLERANCE);
      }
  }

test_subdomain_id_sets()

void MeshFunctionTest::test_subdomain_id_sets ( )

inline

Definition at line 70 of file mesh_function.C.

References libMesh::EquationSystems::add_system(), libMesh::System::add_variable(), libMesh::MeshTools::Generation::build_square(), libMesh::CONSTANT, libMesh::System::current_local_solution, libMesh::DenseVector< T >::empty(), libMesh::System::get_dof_map(), libMesh::System::get_equation_systems(), libMesh::MeshFunction::init(), libMesh::EquationSystems::init(), libMesh::libmesh_real(), mesh, libMesh::MONOMIAL, libMesh::EquationSystems::parameters, libMesh::System::project_solution(), libMesh::QUAD4, libMesh::Real, TestCommWorld, libMesh::TOLERANCE, and trilinear_function().

  {
    LOG_UNIT_TEST;

    ReplicatedMesh mesh(*TestCommWorld);

    MeshTools::Generation::build_square (mesh,
                                         4, 4,
                                         0., 1.,
                                         0., 1.,
                                         QUAD4);

    // Set a subdomain id for all elements, based on location.
    for (auto & elem : mesh.active_element_ptr_range())
      {
        Point c = elem->vertex_average();
        elem->subdomain_id() =
          subdomain_id_type(c(0)*4) + subdomain_id_type(c(1)*4)*10;
      }

    // Add a discontinuous variable so we can easily see what side of
    // an interface we're querying
    EquationSystems es(mesh);
    System & sys = es.add_system<System> ("SimpleSystem");
    unsigned int u_var = sys.add_variable("u", CONSTANT, MONOMIAL);

    es.init();
    sys.project_solution(trilinear_function, nullptr, es.parameters);

    MeshFunction mesh_function (sys.get_equation_systems(),
                                *sys.current_local_solution,
                                sys.get_dof_map(),
                                u_var);

    // Checkerboard pattern
    const std::set<subdomain_id_type> sbdids1 {0,2,11,13,20,22,31,33};
    const std::set<subdomain_id_type> sbdids2 {1,3,10,12,21,23,30,32};
    mesh_function.init();
    mesh_function.enable_out_of_mesh_mode(DenseVector<Number>());
    mesh_function.set_subdomain_ids(&sbdids1);

    DenseVector<Number> vec_values;
    const std::string dummy;

    // Make sure the MeshFunction's values interpolate the projected solution
    // at the nodes
    for (auto & elem : mesh.active_local_element_ptr_range())
      {
        const Point c = elem->vertex_average();
        const Real expected_value =
          libmesh_real(trilinear_function(c, es.parameters, dummy, dummy));
        const std::vector<Point> offsets
          {{0,-1/8.}, {1/8.,0}, {0,1/8.}, {-1/8.,0}};
        for (Point offset : offsets)
          {
            const Point p = c + offset;
            mesh_function(p, 0, vec_values, &sbdids1);
            const Number retval1 = vec_values.empty() ? -12345 : vec_values(0);
            mesh_function(p, 0, vec_values, &sbdids2);
            const Number retval2 = vec_values.empty() ? -12345 : vec_values(0);
            mesh_function(c, 0, vec_values, nullptr);
            const Number retval3 = vec_values.empty() ? -12345 : vec_values(0);

            LIBMESH_ASSERT_NUMBERS_EQUAL
              (retval3, expected_value, TOLERANCE * TOLERANCE);

            if (sbdids1.count(elem->subdomain_id()))
              {
                CPPUNIT_ASSERT(!sbdids2.count(elem->subdomain_id()));
                LIBMESH_ASSERT_NUMBERS_EQUAL
                  (retval1, expected_value, TOLERANCE * TOLERANCE);

                mesh_function(c, 0, vec_values, &sbdids2);
                CPPUNIT_ASSERT(vec_values.empty());
              }
            else
              {
                LIBMESH_ASSERT_NUMBERS_EQUAL
                  (retval2, expected_value, TOLERANCE * TOLERANCE);

                mesh_function(c, 0, vec_values, &sbdids1);
                CPPUNIT_ASSERT(vec_values.empty());
              }
          }
      }
  }

vectorMeshFunctionLagrange()

void MeshFunctionTest::vectorMeshFunctionLagrange ( )

inline

Definition at line 278 of file mesh_function.C.

References libMesh::libmesh_real(), and libMesh::TOLERANCE.

  {
    LOG_UNIT_TEST;

    // Populating the solution data using a helper function
    DenseVector<Number> output = read_variable_info_from_output_data("solutions/lagrange_vec_solution_mesh.xda","solutions/lagrange_vec_solution.xda");
    Gradient output_vec = VectorValue(output(0),output(1));

    // Expected value at center mesh
    Gradient output_expected = VectorValue(0.100977281077292,0.201954562154583);

    LIBMESH_ASSERT_FP_EQUAL(libMesh::libmesh_real(output_vec(0)), libMesh::libmesh_real(output_expected(0)),
                            TOLERANCE * TOLERANCE);
    LIBMESH_ASSERT_FP_EQUAL(libMesh::libmesh_real(output_vec(1)), libMesh::libmesh_real(output_expected(1)),
                            TOLERANCE * TOLERANCE);
  }

vectorMeshFunctionNedelec()

void MeshFunctionTest::vectorMeshFunctionNedelec ( )

inline

Definition at line 296 of file mesh_function.C.

References libMesh::libmesh_real(), and libMesh::TOLERANCE.

  {
    LOG_UNIT_TEST;

    // Populating the solution data using a helper function
    DenseVector<Number> output = read_variable_info_from_output_data("solutions/nedelec_one_solution_mesh.xda","solutions/nedelec_one_solution.xda");
    Gradient output_vec = VectorValue(output(0),output(1));

    // Expected value at center mesh
    Gradient output_expected = VectorValue(0.0949202883998996,-0.0949202883918033);

    LIBMESH_ASSERT_FP_EQUAL(libMesh::libmesh_real(output_vec(0)), libMesh::libmesh_real(output_expected(0)),
                            TOLERANCE * TOLERANCE);
    LIBMESH_ASSERT_FP_EQUAL(libMesh::libmesh_real(output_vec(1)), libMesh::libmesh_real(output_expected(1)),
                            TOLERANCE * TOLERANCE);
  }

vectorMeshFunctionRaviartThomas()

void MeshFunctionTest::vectorMeshFunctionRaviartThomas ( )

inline

Definition at line 314 of file mesh_function.C.

References libMesh::libmesh_real(), and libMesh::TOLERANCE.

  {
    LOG_UNIT_TEST;

    // Populating the solution data using a helper function
    DenseVector<Number> output = read_variable_info_from_output_data("solutions/raviart_thomas_solution_mesh.xda","solutions/raviart_thomas_solution.xda");
    Gradient output_vec = VectorValue(output(0),output(1));

    // Expected value at center mesh
    Gradient output_expected = VectorValue(0.0772539939808116,-0.0772537479511396);

    LIBMESH_ASSERT_FP_EQUAL(libMesh::libmesh_real(output_vec(0)), libMesh::libmesh_real(output_expected(0)),
                            TOLERANCE * TOLERANCE);
    LIBMESH_ASSERT_FP_EQUAL(libMesh::libmesh_real(output_vec(1)), libMesh::libmesh_real(output_expected(1)),
                            TOLERANCE * TOLERANCE);
  }

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The documentation for this class was generated from the following file:

• tests/mesh/mesh_function.C