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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"
namespace akantu {
/* -------------------------------------------------------------------------- */
template <>
inline const Array<Real> &
FEEngineTemplate<IntegratorGauss, ShapeLinked, _ek_structural,
DefaultIntegrationOrderFunctor>::
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,
DefaultIntegrationOrderFunctor>::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 <ElementKind kind, typename = void>
struct AssembleFieldMatrixStructHelper {};
template <ElementKind kind>
struct AssembleFieldMatrixStructHelper<
kind, typename std::enable_if<kind == _ek_structural>::type> {
template <template <ElementKind, class> class I,
template <ElementKind> class S, ElementKind k, class IOF>
static void call(const FEEngineTemplate<I, S, k, IOF> & fem,
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) {
#define ASSEMBLE_MATRIX(type) \
fem.template assembleFieldMatrix<type>(field_1, nb_degree_of_freedom, M, n, \
rotation_mat, ghost_type)
AKANTU_BOOST_KIND_ELEMENT_SWITCH(ASSEMBLE_MATRIX, _ek_structural);
#undef ASSEMBLE_MATRIX
}
};
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline void
FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::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();
AssembleFieldMatrixStructHelper<kind>::template call(
*this, field_1, nb_degree_of_freedom, M, n, rotation_mat, type,
ghost_type);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline void
FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::computeShapesMatrix(
const ElementType &, UInt, UInt, Array<Real> *,
__attribute__((unused)) UInt, UInt, UInt, const bool,
const GhostType &) const {
AKANTU_DEBUG_TO_IMPLEMENT();
}
/* -------------------------------------------------------------------------- */
template <>
inline void FEEngineTemplate<IntegratorGauss, ShapeLinked, _ek_structural,
DefaultIntegrationOrderFunctor>::
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,
DefaultIntegrationOrderFunctor>::
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> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
template <ElementType type>
inline void
FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::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();
}
} // akantu

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