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test_interface_position.cc
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Fri, Nov 1, 19:04

test_interface_position.cc
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/**
* @file test_interface_position.cc
*
* @author Aurelia Isabel Cuba Ramos <aurelia.cubaramos@epfl.ch>
*
*
* @brief patch test for interface close to standard nodes
*
* @section LICENSE
*
* Copyright (©) 2010-2012, 2014 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
*/
/* -------------------------------------------------------------------------- */
#include "solid_mechanics_model_igfem.hh"
#include "dumpable_inline_impl.hh"
/* -------------------------------------------------------------------------- */
using namespace akantu;
Real computeL2Error(SolidMechanicsModelIGFEM & model, ElementTypeMapReal & error_per_element);
int main(int argc, char *argv[]) {
initialize("material_test_interface_position.dat", argc, argv);
StaticCommunicator & comm = StaticCommunicator::getStaticCommunicator();
Int psize = comm.getNbProc();
Int prank = comm.whoAmI();
/// create a mesh and read the regular elements from the mesh file
/// mesh creation
const UInt spatial_dimension = 2;
Mesh mesh(spatial_dimension);
akantu::MeshPartition * partition = NULL;
if(prank == 0) {
mesh.read("test_interface_position.msh");
partition = new MeshPartitionScotch(mesh, spatial_dimension);
partition->partitionate(psize);
}
/// model creation
SolidMechanicsModelIGFEM model(mesh);
model.initParallel(partition);
delete partition;
model.initFull();
/// add fields that should be dumped
model.setBaseName("regular_elements");
model.setBaseNameToDumper("igfem elements", "igfem elements");
model.addDumpField("material_index");
model.addDumpFieldVector("displacement");
model.addDumpField("blocked_dofs");
model.addDumpField("stress");
model.addDumpField("partitions");
model.addDumpFieldToDumper("igfem elements", "lambda");
model.addDumpFieldVectorToDumper("igfem elements", "displacement");
model.addDumpFieldVectorToDumper("igfem elements", "real_displacement");
model.addDumpFieldToDumper("igfem elements","blocked_dofs");
model.addDumpFieldToDumper("igfem elements", "material_index");
model.addDumpFieldToDumper("igfem elements", "stress");
model.addDumpFieldToDumper("igfem elements", "partitions");
/// dump mesh before the IGFEM interface is created
model.dump();
model.dump("igfem elements");
/// create the interace:
UInt nb_standard_nodes = mesh.getNbNodes();
std::list<SK::Sphere_3> sphere_list;
SK::Sphere_3 sphere_1(SK::Point_3(0., 0., 0.), 0.25 * 0.25);
sphere_list.push_back(sphere_1);
model.registerGeometryObject(sphere_list, "inside");
model.update();
/// dump mesh after the IGFEM interface is created
model.dump();
model.dump("igfem elements");
/// apply the boundary conditions: left and bottom side on rollers
/// imposed displacement along right side
mesh.computeBoundingBox();
const Vector<Real> & lower_bounds = mesh.getLowerBounds();
const Vector<Real> & upper_bounds = mesh.getUpperBounds();
Real bottom = lower_bounds(1);
Real left = lower_bounds(0);
Real right = upper_bounds(0);
Real eps = std::abs((right - left) * 1e-6);
const Array<Real> & pos = mesh.getNodes();
Array<Real> & disp = model.getDisplacement();
Array<bool> & boun = model.getBlockedDOFs();
for (UInt i = 0; i < mesh.getNbNodes(); ++i) {
if(std::abs(pos(i,1) - bottom) < eps){
boun(i,1) = true;
disp(i,1) = 0.0;
}
if(std::abs(pos(i,0) - left) < eps){
boun(i,0) = true;
disp(i,0) = 0.0;
}
if(std::abs(pos(i,0) - right) < eps){
boun(i,0) = true;
disp(i,0) = 1.0;
}
}
/// compute the volume of the mesh
Real int_volume = 0.;
std::map<ElementKind, FEEngine *> fe_engines = model.getFEEnginesPerKind();
std::map<ElementKind, FEEngine *>::const_iterator fe_it = fe_engines.begin();
for (; fe_it != fe_engines.end(); ++fe_it) {
ElementKind kind = fe_it->first;
FEEngine & fe_engine = *(fe_it->second);
Mesh::type_iterator it = mesh.firstType(spatial_dimension, _not_ghost, kind);
Mesh::type_iterator last_type = mesh.lastType(spatial_dimension, _not_ghost, kind);
for(; it != last_type ; ++it) {
ElementType type = *it;
Array<Real> Volume(mesh.getNbElement(type) * fe_engine.getNbIntegrationPoints(type), 1, 1.);
int_volume += fe_engine.integrate(Volume, type);
}
}
comm.allReduce(&int_volume, 1, _so_sum);
if (prank == 0)
if (!Math::are_float_equal(int_volume, 4)) {
finalize();
std::cout << "Error in area computation of the 2D mesh" << std::endl;
return EXIT_FAILURE;
}
/// solve the system
model.assembleStiffnessMatrix();
Real error = 0;
bool converged = false;
bool factorize = false;
converged = model.solveStep<_scm_newton_raphson_tangent, _scc_increment>(1e-12, error, 2, factorize);
if (!converged) {
std::cout << "The solver did not converge!!! The error is: " << error << std::endl;
finalize();
return EXIT_FAILURE;
}
/// store the error on each element for visualization
ElementTypeMapReal error_per_element("error_per_element");
mesh.addDumpFieldExternal("error_per_element", error_per_element, spatial_dimension, _not_ghost, _ek_regular);
mesh.addDumpFieldExternalToDumper("igfem elements","error_per_element", error_per_element, spatial_dimension, _not_ghost, _ek_igfem);
mesh.initElementTypeMapArray(error_per_element, 1, spatial_dimension, false, _ek_regular, true);
mesh.initElementTypeMapArray(error_per_element, 1, spatial_dimension, false, _ek_igfem, true);
Real L2_error = computeL2Error(model, error_per_element);
comm.allReduce(&L2_error, 1, _so_sum);
if (prank == 0) {
std::cout << "Error: " << L2_error << std::endl;
if (L2_error > 1e-13) {
finalize();
std::cout << "The patch test did not pass!!!!" << std::endl;
return EXIT_FAILURE;
}
}
/// dump the deformed mesh
model.dump();
model.dump("igfem elements");
/* -------------------------------------------------------------------------- */
/// move the interface very close the standard nodes, but far enough
/// to not cut trough the standard nodes
model.moveInterface(0.5 * (1 - 1e-9));
model.dump();
model.dump("igfem elements");
UInt nb_igfem_triangle_4 = mesh.getNbElement(_igfem_triangle_4, _not_ghost);
UInt nb_igfem_triangle_5 = mesh.getNbElement(_igfem_triangle_5, _not_ghost);
comm.allReduce(&nb_igfem_triangle_4, 1, _so_sum);
comm.allReduce(&nb_igfem_triangle_5, 1, _so_sum);
if (prank == 0) {
if ( (nb_igfem_triangle_4 != 0) || (nb_igfem_triangle_5 != 8)) {
std::cout << "something went wrong in the interface creation" << std::endl;
finalize();
return EXIT_FAILURE;
}
}
if ( (psize == 0) && (mesh.getNbNodes() - nb_standard_nodes != 8) ) {
std::cout << "something went wrong in the interface node creation" << std::endl;
finalize();
return EXIT_FAILURE;
}
converged = model.solveStep<_scm_newton_raphson_tangent, _scc_increment>(1e-12, error, 2, factorize);
if (!converged) {
std::cout << "The solver did not converge!!! The error is: " << error << std::endl;
finalize();
return EXIT_FAILURE;
}
L2_error = computeL2Error(model, error_per_element);
comm.allReduce(&L2_error, 1, _so_sum);
if (prank == 0) {
std::cout << "Error: " << L2_error << std::endl;
if (L2_error > 1e-13) {
finalize();
std::cout << "The patch test did not pass!!!!" << std::endl;
return EXIT_FAILURE;
}
}
/// dump the new interface
model.dump();
model.dump("igfem elements");
/* -------------------------------------------------------------------------- */
/// move the interface so that it cuts through the standard nodes
model.moveInterface((0.5 * (1 - 1e-10)));
nb_igfem_triangle_4 = mesh.getNbElement(_igfem_triangle_4, _not_ghost);
nb_igfem_triangle_5 = mesh.getNbElement(_igfem_triangle_5, _not_ghost);
comm.allReduce(&nb_igfem_triangle_4, 1, _so_sum);
comm.allReduce(&nb_igfem_triangle_5, 1, _so_sum);
if (prank == 0) {
if ((nb_igfem_triangle_4 != 8) || (nb_igfem_triangle_5 != 0) ) {
std::cout << "something went wrong in the interface creation" << std::endl;
finalize();
return EXIT_FAILURE;
}
}
if ( (psize == 0) && (mesh.getNbNodes() - nb_standard_nodes != 4) ) {
std::cout << "something went wrong in the interface node creation" << std::endl;
finalize();
return EXIT_FAILURE;
}
converged = model.solveStep<_scm_newton_raphson_tangent, _scc_increment>(1e-12, error, 2, factorize);
if (!converged) {
std::cout << "The solver did not converge!!! The error is: " << error << std::endl;
finalize();
return EXIT_FAILURE;
}
L2_error = computeL2Error(model, error_per_element);
comm.allReduce(&L2_error, 1, _so_sum);
if (prank == 0) {
std::cout << "Error: " << L2_error << std::endl;
if (L2_error > 1e-13) {
finalize();
std::cout << "The patch test did not pass!!!!" << std::endl;
return EXIT_FAILURE;
}
}
/// dump the new interface
model.dump();
model.dump("igfem elements");
finalize();
return EXIT_SUCCESS;
}
/* -------------------------------------------------------------------------- */
Real computeL2Error(SolidMechanicsModelIGFEM & model, ElementTypeMapReal & error_per_element) {
Real error = 0;
Real normalization = 0;
Mesh & mesh = model.getMesh();
UInt spatial_dimension = mesh.getSpatialDimension();
ElementTypeMapReal quad_coords("quad_coords");
GhostType ghost_type = _not_ghost;
const std::map<ElementKind, FEEngine *> & fe_engines = model.getFEEnginesPerKind();
std::map<ElementKind, FEEngine *>::const_iterator fe_it = fe_engines.begin();
for (; fe_it != fe_engines.end(); ++fe_it) {
ElementKind kind = fe_it->first;
FEEngine & fe_engine = *(fe_it->second);
mesh.initElementTypeMapArray(quad_coords, spatial_dimension, spatial_dimension, false, kind, true);
fe_engine.computeIntegrationPointsCoordinates(quad_coords);
Mesh::type_iterator it = mesh.firstType(spatial_dimension, ghost_type, kind);
Mesh::type_iterator last_type = mesh.lastType(spatial_dimension, ghost_type, kind);
for(; it != last_type ; ++it) {
ElementType type = *it;
UInt nb_elements = mesh.getNbElement(type, ghost_type);
UInt nb_quads = fe_engine.getNbIntegrationPoints(type);
/// interpolate the displacement at the quadrature points
Array<Real> displ_on_quads(nb_quads * nb_elements, spatial_dimension, "displ_on_quads");
Array<Real> quad_coords(nb_quads * nb_elements, spatial_dimension, "quad_coords");
fe_engine.interpolateOnIntegrationPoints(model.getDisplacement(), displ_on_quads, spatial_dimension, type);
fe_engine.computeIntegrationPointsCoordinates(quad_coords, type, ghost_type);
Array<Real> & el_error = error_per_element(type, ghost_type);
el_error.resize(nb_elements);
Array<Real>::const_vector_iterator displ_it = displ_on_quads.begin(spatial_dimension);
Array<Real>::const_vector_iterator coord_it = quad_coords.begin(spatial_dimension);
Vector<Real> error_vec(spatial_dimension);
for (UInt e = 0; e < nb_elements; ++e) {
Vector<Real> error_per_quad(nb_quads);
Vector<Real> normalization_per_quad(nb_quads);
for (UInt q = 0; q < nb_quads; ++q, ++displ_it, ++coord_it) {
Real exact = 0.5 * (*coord_it)(0) + 0.5;
error_vec = *displ_it;
error_vec(0) -= exact;
error_per_quad(q) = error_vec.dot(error_vec);
normalization_per_quad(q) = std::abs(exact) * std::abs(exact);
/// std::cout << error_vec << std::endl;
}
/// integrate the error in the element and the corresponding
/// normalization
Real int_error = fe_engine.integrate(error_per_quad, type, e, ghost_type);
error += int_error;
el_error(e) = std::sqrt(int_error);
normalization += fe_engine.integrate(normalization_per_quad, type, e, ghost_type);
}
}
}
return (std::sqrt(error) / std::sqrt(normalization));
}

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