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rAKA/src/fe_engine/shape_linked_inline_impl.cc
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shape_linked_inline_impl.cc
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/**
* @file shape_linked_inline_impl.cc
*
* @author Nicolas Richart <nicolas.richart@epfl.ch>
* @author Fabian Barras <fabian.barras@epfl.ch>
*
* @date creation: Fri Jul 15 2011
* @date last modification: Fri Jun 13 2014
*
* @brief ShapeLinked inline implementation
*
* @section LICENSE
*
* Copyright (©) 2010-2012, 2014 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* Akantu is free software: you can redistribute it and/or modify it under the
* terms of the GNU Lesser General Public License as published by the Free
* Software Foundation, either version 3 of the License, or (at your option) any
* later version.
*
* Akantu 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 Lesser General Public License for more
* details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with Akantu. If not, see <http://www.gnu.org/licenses/>.
*
*/
template <ElementKind kind>
inline void
ShapeLinked<kind>::initShapeFunctions(const Array<Real> & nodes,
const Matrix<Real> & integration_points,
const ElementType & type,
const GhostType & ghost_type) {
AKANTU_DEBUG_TO_IMPLEMENT();
}
#undef INIT_SHAPE_FUNCTIONS
/* -------------------------------------------------------------------------- */
#define INIT_SHAPE_FUNCTIONS(type) \
setIntegrationPointsByType<type>(integration_points, ghost_type); \
precomputeShapesOnIntegrationPoints<type>(nodes, ghost_type); \
precomputeShapeDerivativesOnIntegrationPoints<type>(nodes, ghost_type);
#if defined(AKANTU_STRUCTURAL_MECHANICS)
template <>
inline void
ShapeLinked<_ek_structural>::initShapeFunctions(__attribute__((unused)) const Array<Real> & nodes,
__attribute__((unused)) const Matrix<Real> & integration_points,
__attribute__((unused)) const ElementType & type,
__attribute__((unused)) const GhostType & ghost_type) {
AKANTU_BOOST_STRUCTURAL_ELEMENT_SWITCH(INIT_SHAPE_FUNCTIONS);
}
#endif
#undef INIT_SHAPE_FUNCTIONS
/* -------------------------------------------------------------------------- */
template <ElementKind kind>
inline const Array<Real> & ShapeLinked<kind>::getShapes(const ElementType & type,
const GhostType & ghost_type,
UInt id) const {
AKANTU_DEBUG_IN();
AKANTU_DEBUG_ASSERT(shapes.exists(type, ghost_type),
"No shapes of type "
<< type << " in " << this->id);
AKANTU_DEBUG_OUT();
return *(shapes(type, ghost_type)[id]);
}
/* -------------------------------------------------------------------------- */
template <ElementKind kind>
inline const Array<Real> & ShapeLinked<kind>::getShapesDerivatives(const ElementType & type,
const GhostType & ghost_type,
UInt id) const {
AKANTU_DEBUG_IN();
AKANTU_DEBUG_ASSERT(shapes_derivatives.exists(type, ghost_type),
"No shapes_derivatives of type "
<< type << " in " << this->id);
AKANTU_DEBUG_OUT();
return *(shapes_derivatives(type, ghost_type)[id]);
}
#if defined(AKANTU_STRUCTURAL_MECHANICS)
/* -------------------------------------------------------------------------- */
template <>
template <ElementType type>
void ShapeLinked<_ek_structural>::precomputeShapesOnIntegrationPoints(const Array<Real> & nodes,
const GhostType & ghost_type) {
AKANTU_DEBUG_IN();
// Real * coord = mesh.getNodes().storage();
UInt spatial_dimension = mesh.getSpatialDimension();
UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
Matrix<Real> & natural_coords = integration_points(type, ghost_type);
UInt nb_points = integration_points(type, ghost_type).cols();
UInt size_of_shapes = ElementClass<type>::getShapeSize();
std::string ghost = "";
if(ghost_type == _ghost) {
ghost = "ghost_";
}
UInt nb_element = mesh.getNbElement(type, ghost_type);
UInt nb_shape_functions = ElementClass<type, _ek_structural>::getNbShapeFunctions();
Array<Real> ** shapes_tmp = new Array<Real> *[nb_shape_functions];
Array<Real> x_el(0, spatial_dimension * nb_nodes_per_element);
FEEngine::extractNodalToElementField(mesh, nodes, x_el,
type, ghost_type);
for (UInt s = 0; s < nb_shape_functions; ++s) {
std::stringstream sstr_shapes;
sstr_shapes << id << ":" << ghost << "shapes:" << type << ":" << s;
shapes_tmp[s] = &(alloc<Real>(sstr_shapes.str(),
nb_element*nb_points,
size_of_shapes));
Array<Real>::matrix_iterator x_it = x_el.begin(spatial_dimension,
nb_nodes_per_element);
Array<Real>::matrix_iterator shapes_it =
shapes_tmp[s]->begin_reinterpret(size_of_shapes, nb_points, nb_element);
for (UInt elem = 0; elem < nb_element; ++elem, ++shapes_it, ++x_it) {
Matrix<Real> & X = *x_it;
Matrix<Real> & N = *shapes_it;
ElementClass<type>::computeShapes(natural_coords,
N, X,
s);
}
}
shapes(type, ghost_type) = shapes_tmp;
AKANTU_DEBUG_OUT();
}
#endif
/* -------------------------------------------------------------------------- */
template <ElementKind kind>
template <ElementType type>
void ShapeLinked<kind>::precomputeShapeDerivativesOnIntegrationPoints(const Array<Real> & nodes,
const GhostType & ghost_type) {
AKANTU_DEBUG_IN();
// Real * coord = mesh.getNodes().storage();
UInt spatial_dimension = mesh.getSpatialDimension();
UInt natural_spatial_dimension = ElementClass<type>::getNaturalSpaceDimension();
UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
UInt size_of_shapesd = ElementClass<type>::getShapeDerivativesSize();
Matrix<Real> & natural_coords = integration_points(type, ghost_type);
UInt nb_points = natural_coords.cols();
UInt nb_element = mesh.getNbElement(type, ghost_type);
std::string ghost = "";
if(ghost_type == _ghost) {
ghost = "ghost_";
}
Array<Real> x_el(0, spatial_dimension * nb_nodes_per_element);
FEEngine::extractNodalToElementField(mesh, nodes, x_el,
type, ghost_type);
UInt nb_shape_functions = ElementClass<type>::getNbShapeDerivatives();
Array<Real> ** shapes_derivatives_tmp = new Array<Real> *[nb_shape_functions];
for (UInt s = 0; s < nb_shape_functions; ++s) {
std::stringstream sstr_shapesd;
sstr_shapesd << id << ":" << ghost << "shapes_derivatives:" << type << ":" << s;
shapes_derivatives_tmp[s] = &(alloc<Real>(sstr_shapesd.str(),
nb_element*nb_points,
size_of_shapesd));
Real * shapesd_val = shapes_derivatives_tmp[s]->storage();
Array<Real>::matrix_iterator x_it = x_el.begin(spatial_dimension,
nb_nodes_per_element);
for (UInt elem = 0; elem < nb_element; ++elem, ++x_it) {
// compute shape derivatives
Matrix<Real> & X = *x_it;
Tensor3<Real> B(shapesd_val,
natural_spatial_dimension, nb_nodes_per_element, nb_points);
ElementClass<type>::computeShapeDerivatives(natural_coords,
B, X, s);
shapesd_val += size_of_shapesd*nb_points;
}
}
shapes_derivatives(type, ghost_type) = shapes_derivatives_tmp;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <ElementKind kind>
template <ElementType type>
void ShapeLinked<kind>::extractNodalToElementField(const Array<Real> & nodal_f,
Array<Real> & elemental_f,
UInt num_degre_of_freedom_to_extract,
const GhostType & ghost_type,
const Array<UInt> & filter_elements) const{
AKANTU_DEBUG_IN();
UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
UInt nb_degree_of_freedom = nodal_f.getNbComponent();
UInt nb_element = mesh.getNbElement(type, ghost_type);
UInt * conn_val = mesh.getConnectivity(type, ghost_type).storage();
if(filter_elements != empty_filter) {
nb_element = filter_elements.getSize();
}
elemental_f.resize(nb_element);
Real * nodal_f_val = nodal_f.storage();
Real * f_val = elemental_f.storage();
UInt * el_conn;
for (UInt el = 0; el < nb_element; ++el) {
if(filter_elements != empty_filter) el_conn = conn_val + filter_elements(el) * nb_nodes_per_element;
else el_conn = conn_val + el * nb_nodes_per_element;
for (UInt n = 0; n < nb_nodes_per_element; ++n) {
UInt node = *(el_conn + n);
*f_val = nodal_f_val[node * nb_degree_of_freedom + num_degre_of_freedom_to_extract];
f_val += 1;
}
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <ElementKind kind>
template <ElementType type>
void ShapeLinked<kind>::interpolateOnIntegrationPoints(const Array<Real> &in_u,
Array<Real> &out_uq,
UInt nb_degree_of_freedom,
const GhostType & ghost_type,
const Array<UInt> & filter_elements,
bool accumulate,
UInt id_shape,
UInt num_degre_of_freedom_to_interpolate,
UInt num_degre_of_freedom_interpolated) const {
AKANTU_DEBUG_IN();
Array<Real> * shapes_loc = shapes(type, ghost_type)[id_shape];
AKANTU_DEBUG_ASSERT(shapes_loc != NULL,
"No shapes for the type " << type);
UInt nb_nodes_per_element = ElementClass<type>::getNbNodesPerElement();
Array<Real> u_el(0, nb_nodes_per_element);
extractNodalToElementField<type>(in_u, u_el, num_degre_of_freedom_to_interpolate,
ghost_type, filter_elements);
if(!accumulate) out_uq.clear();
UInt nb_points = integration_points(type, ghost_type).cols() * u_el.getSize();
Array<Real> uq(nb_points, 1, 0.);
this->template interpolateElementalFieldOnIntegrationPoints<type>(u_el,
uq,
ghost_type,
*shapes_loc,
filter_elements);
for (UInt q = 0; q < nb_points; ++q) {
out_uq(q, num_degre_of_freedom_to_interpolate) += uq(q);
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <ElementKind kind>
template <ElementType type>
void ShapeLinked<kind>::gradientOnIntegrationPoints(const Array<Real> &in_u,
Array<Real> &out_nablauq,
UInt nb_degree_of_freedom,
const GhostType & ghost_type,
const Array<UInt> & filter_elements,
bool accumulate,
UInt id_shape,
UInt num_degre_of_freedom_to_interpolate,
UInt num_degre_of_freedom_interpolated) const {
AKANTU_DEBUG_IN();
Array<Real> * shapesd_loc = shapes_derivatives(type, ghost_type)[id_shape];
AKANTU_DEBUG_ASSERT(shapesd_loc != NULL,
"No shapes for the type " << type);
UInt nb_nodes_per_element = ElementClass<type>::getNbNodesPerElement();
Array<Real> u_el(0, nb_nodes_per_element);
extractNodalToElementField<type>(in_u, u_el, num_degre_of_freedom_to_interpolate, ghost_type, filter_elements);
UInt nb_points = integration_points(type, ghost_type).cols() * u_el.getSize();
UInt element_dimension = ElementClass<type>::getSpatialDimension();
Array<Real> nablauq(nb_points, element_dimension, 0.);
if(!accumulate) out_nablauq.clear();
this->template gradientElementalFieldOnIntegrationPoints<type>(u_el,
nablauq,
ghost_type,
*shapesd_loc,
filter_elements);
Array<Real>::matrix_iterator nabla_u_it = nablauq.begin(1, element_dimension);
Array<Real>::matrix_iterator out_nabla_u_it = out_nablauq.begin(nb_degree_of_freedom, element_dimension);
for (UInt q = 0; q < nb_points; ++q, ++nabla_u_it, ++out_nabla_u_it) {
for (UInt s = 0; s < element_dimension; ++s) {
(*out_nabla_u_it)(num_degre_of_freedom_to_interpolate, s) += (*nabla_u_it)(0, s);
}
}
AKANTU_DEBUG_OUT();
}
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