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rAKA/src/fe_engine/fe_engine_template_tmpl_struct.hh
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fe_engine_template_tmpl_struct.hh
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/**
* @file fe_engine_template_tmpl_struct.hh
*
* @author Fabian Barras <fabian.barras@epfl.ch>
* @author Sébastien Hartmann <sebastien.hartmann@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Mon Jul 07 2014
* @date last modification: Thu Oct 15 2015
*
* @brief Template implementation of FEEngineTemplate for Structural Element Kinds
*
* @section LICENSE
*
* Copyright (©) 2014, 2015 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/>.
*
*/
/* -------------------------------------------------------------------------- */
#include "shape_linked.hh"
__BEGIN_AKANTU__
/* -------------------------------------------------------------------------- */
template <>
inline const Array<Real> &
FEEngineTemplate<IntegratorGauss, ShapeLinked, _ek_structural>::
getShapesDerivatives(const ElementType & type,
const GhostType & ghost_type,
UInt id) const {
AKANTU_DEBUG_IN();
const Array<Real> * ret = NULL;
#define GET_SHAPES(type) \
ret = &(shape_functions.getShapesDerivatives(type, ghost_type, id));
AKANTU_BOOST_STRUCTURAL_ELEMENT_SWITCH(GET_SHAPES);
#undef GET_SHAPES
AKANTU_DEBUG_OUT();
return *ret;
}
/* -------------------------------------------------------------------------- */
template<>
inline const Array<Real> &
FEEngineTemplate<IntegratorGauss, ShapeLinked, _ek_structural>::getShapes(const ElementType & type,
const GhostType & ghost_type,
UInt id) const {
AKANTU_DEBUG_IN();
const Array<Real> * ret = NULL;
#define GET_SHAPES(type) \
ret = &(shape_functions.getShapes(type, ghost_type, id));
AKANTU_BOOST_STRUCTURAL_ELEMENT_SWITCH(GET_SHAPES);
#undef GET_SHAPES
AKANTU_DEBUG_OUT();
return *ret;
}
/* -------------------------------------------------------------------------- */
template<>
inline void
FEEngineTemplate<IntegratorGauss, ShapeLinked, _ek_structural>::assembleFieldMatrix(const Array<Real> & field_1,
UInt nb_degree_of_freedom,
SparseMatrix & M,
Array<Real> * n,
ElementTypeMapArray<Real> & rotation_mat,
const ElementType & type,
const GhostType & ghost_type) const {
AKANTU_DEBUG_IN();
#define ASSEMBLE_MATRIX(type) \
assembleFieldMatrix<type>(field_1, nb_degree_of_freedom, \
M, n, rotation_mat, \
ghost_type)
AKANTU_BOOST_STRUCTURAL_ELEMENT_SWITCH(ASSEMBLE_MATRIX);;
#undef ASSEMBLE_MATRIX
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template<template <ElementKind> class I,
template <ElementKind> class S,
ElementKind kind>
inline void FEEngineTemplate<I, S, kind>::computeShapesMatrix(const ElementType & type,
UInt nb_degree_of_freedom,
UInt nb_nodes_per_element,
Array<Real> * n,
UInt id,
UInt degree_to_interpolate,
UInt degree_interpolated,
const bool sign,
const GhostType & ghost_type) const {
AKANTU_DEBUG_TO_IMPLEMENT();
}
/* -------------------------------------------------------------------------- */
template<>
inline void
FEEngineTemplate<IntegratorGauss, ShapeLinked, _ek_structural>::computeShapesMatrix(const ElementType & type,
UInt nb_degree_of_freedom,
UInt nb_nodes_per_element,
Array<Real> * n,
UInt id,
UInt degree_to_interpolate,
UInt degree_interpolated,
const bool sign, // true +, false -
const GhostType & ghost_type) const {
AKANTU_DEBUG_IN();
UInt nb_element = mesh.getNbElement(type);
UInt nb_quadrature_points = getNbIntegrationPoints(type);
UInt nt_n_field_size = nb_degree_of_freedom * nb_nodes_per_element;
UInt n_size = n->getNbComponent()/nt_n_field_size;
Array<Real>::const_vector_iterator shape = getShapes(type, ghost_type, id).begin(nb_nodes_per_element);
Array<Real>::matrix_iterator N_it = n->begin(n_size , nt_n_field_size);
int c;
if (sign == true){
c=1;
}else{
c = -1;
}
UInt line = degree_interpolated;
UInt coll = degree_to_interpolate;
for (UInt e=0; e < nb_element; ++e) {
for (UInt q = 0; q < nb_quadrature_points; ++q, ++N_it, ++shape) {
const Vector<Real> & shapes = *shape;
Matrix<Real> & N = *N_it;
N(line, coll) = shapes(0) * c;
N(line, coll + nb_degree_of_freedom) = shapes(1) * c;
}
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template<>
template <ElementType type>
inline void
FEEngineTemplate<IntegratorGauss, ShapeLinked, _ek_structural>::assembleFieldMatrix(const Array<Real> & field_1,
UInt nb_degree_of_freedom,
SparseMatrix & M,
Array<Real> * n,
ElementTypeMapArray<Real> & rotation_mat,
const GhostType & ghost_type) const {
AKANTU_DEBUG_IN();
UInt nb_element = mesh.getNbElement(type);
UInt nb_nodes_per_element = mesh.getNbNodesPerElement(type);
UInt nb_quadrature_points = getNbIntegrationPoints(type);
UInt nt_n_field_size = nb_degree_of_freedom * nb_nodes_per_element;
UInt n_size = n->getNbComponent()/nt_n_field_size;
Array<Real> * nt_n_field = new Array<Real>(nb_element * nb_quadrature_points, // nt_n_size * nt_n_size, nb_elem * nb_quad_points?
nt_n_field_size * nt_n_field_size,
"NT*N*field");
Array<Real> * nt = new Array<Real>(nb_element * nb_quadrature_points,
n_size * nt_n_field_size, "N*T");
Array<Real> t = rotation_mat(type);
nt_n_field->clear();
nt->clear();
Array<Real>::matrix_iterator N = n->begin(n_size, nt_n_field_size);
Array<Real>::matrix_iterator Nt_N_field = nt_n_field->begin(nt_n_field_size, nt_n_field_size);
Array<Real>::matrix_iterator T = rotation_mat(type).begin(nt_n_field_size, nt_n_field_size);
Array<Real>::matrix_iterator NT = nt->begin(n_size, nt_n_field_size);
Real * field_val = field_1.storage();
for (UInt e = 0; e < nb_element; ++e, ++T){
for (UInt q = 0; q< nb_quadrature_points; ++q, ++N, ++NT, ++Nt_N_field, /*++T,*/ ++field_val){
NT->mul<false, false>(*N, *T);
Nt_N_field->mul<true, false>(*NT, *NT, *field_val);
}
}
Array<Real> * int_nt_n_field = new Array<Real>(nb_element,
nt_n_field_size * nt_n_field_size,
"NT*N*field");
int_nt_n_field->clear();
integrate(*nt_n_field, *int_nt_n_field, nt_n_field_size * nt_n_field_size, type);
// integrate(*nt_n_field, *int_nt_n_field, nb_degree_of_freedom, type);
assembleMatrix(*int_nt_n_field, M, nb_degree_of_freedom, type);
delete nt;
delete nt_n_field;
delete int_nt_n_field;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template<template <ElementKind> class I,
template <ElementKind> class S,
ElementKind kind>
template <ElementType type>
inline void FEEngineTemplate<I, S, kind>::assembleFieldMatrix(const Array<Real> & field_1,
UInt nb_degree_of_freedom,
SparseMatrix & M,
Array<Real> * n,
ElementTypeMapArray<Real> & rotation_mat,
const GhostType & ghost_type) const {
AKANTU_DEBUG_TO_IMPLEMENT();
}
__END_AKANTU__
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