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fem_template.cc
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/**
* @file fem_template.cc
* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
* @date Fri Feb 11 11:37:47 2011
*
* @brief implementation of the generic FEMTemplate class
*
* @section LICENSE
*
* Copyright (©) 2010-2011 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 "integrator_gauss.hh"
#include "fem.hh"
#include "aka_common.hh"
#include "shape_lagrange.hh"
#include "shape_linked.hh"
#include "shape_cohesive.hh"
#include "integrator_cohesive.hh"
/* -------------------------------------------------------------------------- */
__BEGIN_AKANTU__
/* -------------------------------------------------------------------------- */
template <typename Integ, typename Shape>
FEMTemplate<Integ,Shape>::FEMTemplate(Mesh & mesh, UInt spatial_dimension,
ID id, MemoryID memory_id) :
FEM(mesh,spatial_dimension,id,memory_id),
integrator(mesh, id, memory_id),
shape_functions(mesh, id, memory_id)
{
}
/* -------------------------------------------------------------------------- */
template <typename Integ, typename Shape>
FEMTemplate<Integ,Shape>::~FEMTemplate()
{
}
/* -------------------------------------------------------------------------- */
template <typename Integ, typename Shape>
void FEMTemplate<Integ,Shape>::gradientOnQuadraturePoints(const Vector<Real> &u,
Vector<Real> &nablauq,
const UInt nb_degree_of_freedom,
const ElementType & type,
const GhostType & ghost_type,
const Vector<UInt> * filter_elements) const {
AKANTU_DEBUG_IN();
#ifndef AKANTU_NDEBUG
// std::stringstream sstr; sstr << ghost_type;
// AKANTU_DEBUG_ASSERT(sstr.str() == nablauq.getTag(),
// "The vector " << nablauq.getID() << " is not taged " << ghost_type);
UInt nb_element = mesh->getNbElement(type, ghost_type);
if(filter_elements != NULL) nb_element = filter_elements->getSize();
UInt element_dimension = mesh->getSpatialDimension(type);
UInt nb_points = shape_functions.getControlPoints(type, ghost_type).getSize();
AKANTU_DEBUG_ASSERT(u.getSize() == mesh->getNbNodes(),
"The vector u(" << u.getID()
<< ") has not the good size.");
AKANTU_DEBUG_ASSERT(u.getNbComponent() == nb_degree_of_freedom ,
"The vector u(" << u.getID()
<< ") has not the good number of component.");
AKANTU_DEBUG_ASSERT(nablauq.getNbComponent()
== nb_degree_of_freedom * element_dimension,
"The vector nablauq(" << nablauq.getID()
<< ") has not the good number of component.");
AKANTU_DEBUG_ASSERT(nablauq.getSize() == nb_element * nb_points,
"The vector nablauq(" << nablauq.getID()
<< ") has not the good size.");
#endif
#define COMPUTE_GRADIENT(type) \
if (element_dimension == ElementClass<type>::getSpatialDimension()) \
shape_functions.template gradientOnControlPoints<type>(u, \
nablauq, \
nb_degree_of_freedom, \
ghost_type, \
filter_elements);
AKANTU_BOOST_REGULAR_ELEMENT_SWITCH(COMPUTE_GRADIENT);
#undef COMPUTE_GRADIENT
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <>
void FEMTemplate<IntegratorCohesive<IntegratorGauss>,ShapeCohesive<ShapeLagrange> >::
initShapeFunctions(const GhostType & ghost_type) {
AKANTU_DEBUG_IN();
UInt spatial_dimension = mesh->getSpatialDimension();
Mesh::type_iterator it = mesh->firstType(element_dimension, ghost_type, _ek_cohesive);
Mesh::type_iterator end = mesh->lastType(element_dimension, ghost_type, _ek_cohesive);
for(; it != end; ++it) {
ElementType type = *it;
#define INIT_SHAPE_FUNCTIONS(type) \
integrator.computeQuadraturePoints<type>(ghost_type); \
integrator. \
precomputeJacobiansOnQuadraturePoints<type>(ghost_type); \
integrator. \
checkJacobians<type>(ghost_type); \
const Vector<Real> & control_points = \
integrator.getQuadraturePoints<type>(ghost_type); \
shape_functions. \
setControlPointsByType<type>(control_points, ghost_type); \
shape_functions. \
precomputeShapesOnControlPoints<type>(ghost_type); \
if (element_dimension == spatial_dimension) \
shape_functions. \
precomputeShapeDerivativesOnControlPoints<type>(ghost_type);
AKANTU_BOOST_COHESIVE_ELEMENT_SWITCH(INIT_SHAPE_FUNCTIONS);
#undef INIT_SHAPE_FUNCTIONS
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <typename Integ, typename Shape>
void FEMTemplate<Integ,Shape>::initShapeFunctions(const GhostType & ghost_type) {
AKANTU_DEBUG_IN();
UInt spatial_dimension = mesh->getSpatialDimension();
Mesh::type_iterator it = mesh->firstType(element_dimension, ghost_type);
Mesh::type_iterator end = mesh->lastType(element_dimension, ghost_type);
for(; it != end; ++it) {
ElementType type = *it;
#define INIT_SHAPE_FUNCTIONS(type) \
integrator.template computeQuadraturePoints<type>(ghost_type); \
integrator. \
template precomputeJacobiansOnQuadraturePoints<type>(ghost_type); \
integrator. \
template checkJacobians<type>(ghost_type); \
const Vector<Real> & control_points = \
integrator.template getQuadraturePoints<type>(ghost_type); \
shape_functions. \
template setControlPointsByType<type>(control_points, ghost_type); \
shape_functions. \
template precomputeShapesOnControlPoints<type>(ghost_type); \
if (element_dimension == spatial_dimension) \
shape_functions. \
template precomputeShapeDerivativesOnControlPoints<type>(ghost_type);
AKANTU_BOOST_REGULAR_ELEMENT_SWITCH(INIT_SHAPE_FUNCTIONS);
#undef INIT_SHAPE_FUNCTIONS
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <typename Integ, typename Shape>
void FEMTemplate<Integ,Shape>::integrate(const Vector<Real> & f,
Vector<Real> &intf,
UInt nb_degree_of_freedom,
const ElementType & type,
const GhostType & ghost_type,
const Vector<UInt> * filter_elements) const{
#ifndef AKANTU_NDEBUG
// std::stringstream sstr; sstr << ghost_type;
// AKANTU_DEBUG_ASSERT(sstr.str() == nablauq.getTag(),
// "The vector " << nablauq.getID() << " is not taged " << ghost_type);
UInt nb_element = mesh->getNbElement(type, ghost_type);
if(filter_elements != NULL) nb_element = filter_elements->getSize();
UInt nb_quadrature_points = getNbQuadraturePoints(type);
AKANTU_DEBUG_ASSERT(f.getSize() == nb_element * nb_quadrature_points,
"The vector f(" << f.getID() << " size " << f.getSize()
<< ") has not the good size (" << nb_element << ").");
AKANTU_DEBUG_ASSERT(f.getNbComponent() == nb_degree_of_freedom ,
"The vector f(" << f.getID()
<< ") has not the good number of component.");
AKANTU_DEBUG_ASSERT(intf.getNbComponent() == nb_degree_of_freedom,
"The vector intf(" << intf.getID()
<< ") has not the good number of component.");
AKANTU_DEBUG_ASSERT(intf.getSize() == nb_element,
"The vector intf(" << intf.getID()
<< ") has not the good size.");
#endif
#define INTEGRATE(type) \
integrator.template integrate<type>(f, \
intf, \
nb_degree_of_freedom, \
ghost_type, \
filter_elements);
AKANTU_BOOST_REGULAR_ELEMENT_SWITCH(INTEGRATE);
#undef INTEGRATE
}
/* -------------------------------------------------------------------------- */
template <typename Integ, typename Shape>
Real FEMTemplate<Integ,Shape>::integrate(const Vector<Real> & f,
const ElementType & type,
const GhostType & ghost_type,
const Vector<UInt> * filter_elements) const{
AKANTU_DEBUG_IN();
#ifndef AKANTU_NDEBUG
// std::stringstream sstr; sstr << ghost_type;
// AKANTU_DEBUG_ASSERT(sstr.str() == nablauq.getTag(),
// "The vector " << nablauq.getID() << " is not taged " << ghost_type);
UInt nb_element = mesh->getNbElement(type, ghost_type);
if(filter_elements != NULL) nb_element = filter_elements->getSize();
UInt nb_quadrature_points = getNbQuadraturePoints(type, ghost_type);
AKANTU_DEBUG_ASSERT(f.getSize() == nb_element * nb_quadrature_points,
"The vector f(" << f.getID()
<< ") has not the good size. (" << f.getSize() << "!=" << nb_quadrature_points * nb_element << ")");
AKANTU_DEBUG_ASSERT(f.getNbComponent() == 1,
"The vector f(" << f.getID()
<< ") has not the good number of component.");
#endif
Real integral = 0.;
#define INTEGRATE(type) \
integral = integrator.template integrate<type>(f, \
ghost_type, \
filter_elements);
AKANTU_BOOST_REGULAR_ELEMENT_SWITCH(INTEGRATE);
#undef INTEGRATE
AKANTU_DEBUG_OUT();
return integral;
}
/* -------------------------------------------------------------------------- */
template <typename Integ, typename Shape>
void FEMTemplate<Integ,Shape>::integrateOnQuadraturePoints(const Vector<Real> & f,
Vector<Real> &intf,
UInt nb_degree_of_freedom,
const ElementType & type,
const GhostType & ghost_type,
const Vector<UInt> * filter_elements) const{
#ifndef AKANTU_NDEBUG
// std::stringstream sstr; sstr << ghost_type;
// AKANTU_DEBUG_ASSERT(sstr.str() == nablauq.getTag(),
// "The vector " << nablauq.getID() << " is not taged " << ghost_type);
UInt nb_element = mesh->getNbElement(type, ghost_type);
if(filter_elements != NULL) nb_element = filter_elements->getSize();
UInt nb_quadrature_points = getNbQuadraturePoints(type);
AKANTU_DEBUG_ASSERT(f.getSize() == nb_element * nb_quadrature_points,
"The vector f(" << f.getID() << " size " << f.getSize()
<< ") has not the good size (" << nb_element << ").");
AKANTU_DEBUG_ASSERT(f.getNbComponent() == nb_degree_of_freedom ,
"The vector f(" << f.getID()
<< ") has not the good number of component.");
AKANTU_DEBUG_ASSERT(intf.getNbComponent() == nb_degree_of_freedom,
"The vector intf(" << intf.getID()
<< ") has not the good number of component.");
AKANTU_DEBUG_ASSERT(intf.getSize() == nb_element * nb_quadrature_points,
"The vector intf(" << intf.getID()
<< ") has not the good size.");
#endif
#define INTEGRATE(type) \
integrator.template integrateOnQuadraturePoints<type>(f, \
intf, \
nb_degree_of_freedom, \
ghost_type, \
filter_elements);
AKANTU_BOOST_REGULAR_ELEMENT_SWITCH(INTEGRATE);
#undef INTEGRATE
}
/* -------------------------------------------------------------------------- */
template <typename Integ, typename Shape>
void FEMTemplate<Integ,Shape>::interpolateOnQuadraturePoints(const Vector<Real> &u,
Vector<Real> &uq,
UInt nb_degree_of_freedom,
const ElementType & type,
const GhostType & ghost_type,
const Vector<UInt> * filter_elements) const{
AKANTU_DEBUG_IN();
#ifndef AKANTU_NDEBUG
// std::stringstream sstr; sstr << ghost_type;
// AKANTU_DEBUG_ASSERT(sstr.str() == nablauq.getTag(),
// "The vector " << nablauq.getID() << " is not taged " << ghost_type);
UInt nb_element = mesh->getNbElement(type, ghost_type);
if(filter_elements != NULL) nb_element = filter_elements->getSize();
UInt nb_points = shape_functions.getControlPoints(type, ghost_type).getSize();
AKANTU_DEBUG_ASSERT(u.getSize() == mesh->getNbNodes(),
"The vector u(" << u.getID()
<< ") has not the good size.");
AKANTU_DEBUG_ASSERT(u.getNbComponent() == nb_degree_of_freedom ,
"The vector u(" << u.getID()
<< ") has not the good number of component.");
AKANTU_DEBUG_ASSERT(uq.getNbComponent() == nb_degree_of_freedom,
"The vector uq(" << uq.getID()
<< ") has not the good number of component.");
AKANTU_DEBUG_ASSERT(uq.getSize() == nb_element * nb_points,
"The vector uq(" << uq.getID()
<< ") has not the good size.");
#endif
#define INTERPOLATE(type) \
shape_functions.template interpolateOnControlPoints<type>(u, \
uq, \
nb_degree_of_freedom, \
ghost_type, \
filter_elements);
AKANTU_BOOST_REGULAR_ELEMENT_SWITCH(INTERPOLATE);
#undef INTERPOLATE
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <typename Integ, typename Shape>
void FEMTemplate<Integ,Shape>::computeNormalsOnControlPoints(const GhostType & ghost_type) {
AKANTU_DEBUG_IN();
computeNormalsOnControlPoints(mesh->getNodes(),
ghost_type);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <typename Integ, typename Shape>
void FEMTemplate<Integ,Shape>::computeNormalsOnControlPoints(const Vector<Real> & field,
const GhostType & ghost_type) {
AKANTU_DEBUG_IN();
if (ghost_type == _ghost) { AKANTU_DEBUG_TO_IMPLEMENT(); }
// Real * coord = mesh->getNodes().values;
UInt spatial_dimension = mesh->getSpatialDimension();
//allocate the normal arrays
mesh->initByElementTypeVector(normals_on_quad_points, spatial_dimension, element_dimension);
//loop over the type to build the normals
Mesh::type_iterator it = mesh->firstType(element_dimension, ghost_type);
Mesh::type_iterator end = mesh->lastType(element_dimension, ghost_type);
for(; it != end; ++it) {
Vector<Real> & normals_on_quad = normals_on_quad_points(*it, ghost_type);
computeNormalsOnControlPoints(field, normals_on_quad, *it, ghost_type);
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <typename Integ, typename Shape>
void FEMTemplate<Integ,Shape>::computeNormalsOnControlPoints(const Vector<Real> & field,
Vector<Real> & normal,
const ElementType & type,
const GhostType & ghost_type) const {
AKANTU_DEBUG_IN();
if (ghost_type == _ghost) { AKANTU_DEBUG_TO_IMPLEMENT(); }
UInt spatial_dimension = mesh->getSpatialDimension();
UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
UInt nb_quad_points = getQuadraturePoints(type, ghost_type).getSize();
UInt * elem_val = mesh->getConnectivity(type, ghost_type).storage();
UInt nb_element = mesh->getConnectivity(type, ghost_type).getSize();
normal.resize(nb_element * nb_quad_points);
Real * normals_on_quad_val = normal.storage();
/* ---------------------------------------------------------------------- */
#define COMPUTE_NORMALS_ON_QUAD(type) \
do { \
const Vector<Real> & quads = \
integrator. template getQuadraturePoints<type>(ghost_type); \
UInt nb_points = quads.getSize(); \
Real local_coord[spatial_dimension * nb_nodes_per_element]; \
for (UInt elem = 0; elem < nb_element; ++elem) { \
mesh->extractNodalValuesFromElement(field, \
local_coord, \
elem_val+elem*nb_nodes_per_element, \
nb_nodes_per_element, \
spatial_dimension); \
\
ElementClass<type>::computeNormalsOnQuadPoint(local_coord, \
spatial_dimension, \
normals_on_quad_val); \
normals_on_quad_val += spatial_dimension*nb_points; \
} \
} while(0)
/* ---------------------------------------------------------------------- */
AKANTU_BOOST_REGULAR_ELEMENT_SWITCH(COMPUTE_NORMALS_ON_QUAD);
#undef COMPUTE_NORMALS_ON_QUAD
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
/* compatibility functions */
/* -------------------------------------------------------------------------- */
template <>
inline UInt FEMTemplate<IntegratorCohesive<IntegratorGauss>,ShapeCohesive<ShapeLagrange> >
::getNbQuadraturePoints(const ElementType & type,
const GhostType & ghost_type) const {
AKANTU_DEBUG_IN();
UInt nb_quad_points = 0;
#define GET_NB_QUAD(type) \
nb_quad_points = \
integrator. getQuadraturePoints<type>(ghost_type).getSize();
// AKANTU_BOOST_REGULAR_ELEMENT_SWITCH(GET_NB_QUAD);
AKANTU_BOOST_COHESIVE_ELEMENT_SWITCH(GET_NB_QUAD);
#undef GET_NB_QUAD
AKANTU_DEBUG_OUT();
return nb_quad_points;
}
/* -------------------------------------------------------------------------- */
template <>
Real FEMTemplate<IntegratorCohesive<IntegratorGauss>,ShapeCohesive<ShapeLagrange> >::integrate(const Vector<Real> & f,
const ElementType & type,
const GhostType & ghost_type,
const Vector<UInt> * filter_elements) const{
AKANTU_DEBUG_IN();
#ifndef AKANTU_NDEBUG
// std::stringstream sstr; sstr << ghost_type;
// AKANTU_DEBUG_ASSERT(sstr.str() == nablauq.getTag(),
// "The vector " << nablauq.getID() << " is not taged " << ghost_type);
UInt nb_element = mesh->getNbElement(type, ghost_type);
if(filter_elements != NULL) nb_element = filter_elements->getSize();
UInt nb_quadrature_points = getNbQuadraturePoints(type);
AKANTU_DEBUG_ASSERT(f.getSize() == nb_element * nb_quadrature_points,
"The vector f(" << f.getID()
<< ") has not the good size.");
AKANTU_DEBUG_ASSERT(f.getNbComponent() == 1,
"The vector f(" << f.getID()
<< ") has not the good number of component.");
#endif
Real integral = 0.;
#define INTEGRATE(type) \
integral = integrator. integrate<type>(f, \
ghost_type, \
filter_elements);
AKANTU_BOOST_COHESIVE_ELEMENT_SWITCH(INTEGRATE);
#undef INTEGRATE
AKANTU_DEBUG_OUT();
return integral;
}
/* -------------------------------------------------------------------------- */
template <>
void FEMTemplate<IntegratorCohesive<IntegratorGauss>,ShapeCohesive<ShapeLagrange> >
::integrate(const Vector<Real> & f,
Vector<Real> &intf,
UInt nb_degree_of_freedom,
const ElementType & type,
const GhostType & ghost_type,
const Vector<UInt> * filter_elements) const{
#ifndef AKANTU_NDEBUG
// std::stringstream sstr; sstr << ghost_type;
// AKANTU_DEBUG_ASSERT(sstr.str() == nablauq.getTag(),
// "The vector " << nablauq.getID() << " is not taged " << ghost_type);
UInt nb_element = mesh->getNbElement(type, ghost_type);
if(filter_elements != NULL) nb_element = filter_elements->getSize();
UInt nb_quadrature_points = getNbQuadraturePoints(type);
AKANTU_DEBUG_ASSERT(f.getSize() == nb_element * nb_quadrature_points,
"The vector f(" << f.getID() << " size " << f.getSize()
<< ") has not the good size (" << nb_element << ").");
AKANTU_DEBUG_ASSERT(f.getNbComponent() == nb_degree_of_freedom ,
"The vector f(" << f.getID()
<< ") has not the good number of component.");
AKANTU_DEBUG_ASSERT(intf.getNbComponent() == nb_degree_of_freedom,
"The vector intf(" << intf.getID()
<< ") has not the good number of component.");
AKANTU_DEBUG_ASSERT(intf.getSize() == nb_element,
"The vector intf(" << intf.getID()
<< ") has not the good size.");
#endif
#define INTEGRATE(type) \
integrator. integrate<type>(f, \
intf, \
nb_degree_of_freedom, \
ghost_type, \
filter_elements);
// AKANTU_BOOST_REGULAR_ELEMENT_SWITCH(INTEGRATE);
AKANTU_BOOST_COHESIVE_ELEMENT_SWITCH(INTEGRATE);
#undef INTEGRATE
}
/* -------------------------------------------------------------------------- */
template <typename Integ, typename Shape>
inline UInt FEMTemplate<Integ,Shape>::getNbQuadraturePoints(const ElementType & type,
const GhostType & ghost_type) const {
AKANTU_DEBUG_IN();
UInt nb_quad_points = 0;
#define GET_NB_QUAD(type) \
nb_quad_points = \
integrator. template getQuadraturePoints<type>(ghost_type).getSize();
AKANTU_BOOST_REGULAR_ELEMENT_SWITCH(GET_NB_QUAD);
#undef GET_NB_QUAD
AKANTU_DEBUG_OUT();
return nb_quad_points;
}
/* -------------------------------------------------------------------------- */
template <typename Integ, typename Shape>
inline const Vector<Real> & FEMTemplate<Integ,Shape>::getShapes(const ElementType & type,
const GhostType & ghost_type) const {
AKANTU_DEBUG_IN();
const Vector<Real> * ret = NULL;
#define GET_SHAPES(type) \
ret = &(shape_functions.getShapes(type, ghost_type));
AKANTU_BOOST_REGULAR_ELEMENT_SWITCH(GET_SHAPES);
#undef GET_SHAPES
AKANTU_DEBUG_OUT();
return *ret;
}
/* -------------------------------------------------------------------------- */
template <>
inline const Vector<Real> & FEMTemplate<IntegratorCohesive<IntegratorGauss>,ShapeCohesive<ShapeLagrange> >
::getShapes(const ElementType & type,
const GhostType & ghost_type) const {
AKANTU_DEBUG_IN();
const Vector<Real> * ret = NULL;
#define GET_SHAPES(type) \
ret = &(shape_functions.getShapes(type, ghost_type));
// AKANTU_BOOST_REGULAR_ELEMENT_SWITCH(GET_SHAPES);
AKANTU_BOOST_COHESIVE_ELEMENT_SWITCH(GET_SHAPES);
#undef GET_SHAPES
AKANTU_DEBUG_OUT();
return *ret;
}
/* -------------------------------------------------------------------------- */
template <typename Integ, typename Shape>
inline const Vector<Real> & FEMTemplate<Integ,Shape>::getShapesDerivatives(const ElementType & type,
const GhostType & ghost_type,
__attribute__((unused)) UInt id) const {
AKANTU_DEBUG_IN();
const Vector<Real> * ret = NULL;
#define GET_SHAPES(type) \
ret = &(shape_functions.getShapesDerivatives(type, ghost_type));
AKANTU_BOOST_REGULAR_ELEMENT_SWITCH(GET_SHAPES);
#undef GET_SHAPES
AKANTU_DEBUG_OUT();
return *ret;
}
/* -------------------------------------------------------------------------- */
template <typename Integ, typename Shape>
inline const Vector<Real> & FEMTemplate<Integ,Shape>::getQuadraturePoints(const ElementType & type,
const GhostType & ghost_type) const {
AKANTU_DEBUG_IN();
const Vector<Real> * ret = NULL;
#define GET_QUADS(type) \
ret = &(integrator. template getQuadraturePoints<type>(ghost_type));
AKANTU_BOOST_REGULAR_ELEMENT_SWITCH(GET_QUADS);
#undef GET_QUADS
AKANTU_DEBUG_OUT();
return *ret;
}
/* -------------------------------------------------------------------------- */
/* Matrix lumping functions */
/* -------------------------------------------------------------------------- */
/* -------------------------------------------------------------------------- */
template <typename Integ, typename Shape>
void FEMTemplate<Integ,Shape>::assembleFieldLumped(const Vector<Real> & field_1,
UInt nb_degree_of_freedom,
Vector<Real> & lumped,
const Vector<Int> & equation_number,
ElementType type,
const GhostType & ghost_type) const {
AKANTU_DEBUG_IN();
#define ASSEMBLE_LUMPED(type) \
assembleLumpedTemplate<type>(field_1, nb_degree_of_freedom,lumped, equation_number,ghost_type)
AKANTU_BOOST_REGULAR_ELEMENT_SWITCH(ASSEMBLE_LUMPED);;
#undef ASSEMBLE_LUMPED
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <>
inline const Vector<Real> &
FEMTemplate<IntegratorGauss, ShapeLinked>::getShapesDerivatives(const ElementType & type,
const GhostType & ghost_type,
UInt id) const {
AKANTU_DEBUG_IN();
const Vector<Real> * ret = NULL;
#define GET_SHAPES(type) \
ret = &(shape_functions.getShapesDerivatives(type, ghost_type, id));
AKANTU_BOOST_REGULAR_ELEMENT_SWITCH(GET_SHAPES);
#undef GET_SHAPES
AKANTU_DEBUG_OUT();
return *ret;
}
/* -------------------------------------------------------------------------- */
template <typename Integ, typename Shape>
void FEMTemplate<Integ,Shape>::assembleFieldMatrix(const Vector<Real> & field_1,
UInt nb_degree_of_freedom,
SparseMatrix & matrix,
ElementType type,
const GhostType & ghost_type) const {
AKANTU_DEBUG_IN();
#define ASSEMBLE_MATRIX(type) \
assembleFieldMatrix<type>(field_1, nb_degree_of_freedom, \
matrix, \
ghost_type)
AKANTU_BOOST_REGULAR_ELEMENT_SWITCH(ASSEMBLE_MATRIX);;
#undef ASSEMBLE_MATRIX
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <typename Integ, typename Shape>
template <ElementType type>
void FEMTemplate<Integ,Shape>::assembleLumpedTemplate(const Vector<Real> & field_1,
UInt nb_degree_of_freedom,
Vector<Real> & lumped,
const Vector<Int> & equation_number,
const GhostType & ghost_type) const {
this->template assembleLumpedRowSum<type>(field_1, nb_degree_of_freedom,lumped, equation_number,ghost_type);
}
/* -------------------------------------------------------------------------- */
//template <typename Integ, typename Shape>
template <>
template <>
void FEMTemplate<IntegratorGauss,ShapeLagrange>::
assembleLumpedTemplate<_triangle_6>(const Vector<Real> & field_1,
UInt nb_degree_of_freedom,
Vector<Real> & lumped,
const Vector<Int> & equation_number,
const GhostType & ghost_type) const {
assembleLumpedDiagonalScaling<_triangle_6>(field_1, nb_degree_of_freedom,lumped, equation_number,ghost_type);
}
/* -------------------------------------------------------------------------- */
template <>
template <>
void FEMTemplate<IntegratorGauss,ShapeLagrange>::
assembleLumpedTemplate<_tetrahedron_10>(const Vector<Real> & field_1,
UInt nb_degree_of_freedom,
Vector<Real> & lumped,
const Vector<Int> & equation_number,
const GhostType & ghost_type) const {
assembleLumpedDiagonalScaling<_tetrahedron_10>(field_1, nb_degree_of_freedom,lumped, equation_number,ghost_type);
}
/* -------------------------------------------------------------------------- */
template <>
template <>
void
FEMTemplate<IntegratorGauss,ShapeLagrange>::assembleLumpedTemplate<_quadrangle_8>(const Vector<Real> & field_1,
UInt nb_degree_of_freedom,
Vector<Real> & lumped,
const Vector<Int> & equation_number,
const GhostType & ghost_type) const {
assembleLumpedDiagonalScaling<_quadrangle_8>(field_1, nb_degree_of_freedom,lumped, equation_number, ghost_type);
}
/* -------------------------------------------------------------------------- */
/**
* @f$ \tilde{M}_{i} = \sum_j M_{ij} = \sum_j \int \rho \varphi_i \varphi_j dV = \int \rho \varphi_i dV @f$
*/
template <typename Integ, typename Shape>
template <ElementType type>
void FEMTemplate<Integ,Shape>::assembleLumpedRowSum(const Vector<Real> & field_1,
UInt nb_degree_of_freedom,
Vector<Real> & lumped,
const Vector<Int> & equation_number,
const GhostType & ghost_type) const {
AKANTU_DEBUG_IN();
UInt shapes_size = ElementClass<type>::getShapeSize();
Vector<Real> * field_times_shapes = new Vector<Real>(0, 1);//shapes_size);
shape_functions.template fieldTimesShapes<type>(field_1, *field_times_shapes, ghost_type);
UInt nb_element = mesh->getNbElement(type, ghost_type);
Vector<Real> * int_field_times_shapes = new Vector<Real>(nb_element, shapes_size,
"inte_rho_x_shapes");
integrator.template integrate<type>(*field_times_shapes, *int_field_times_shapes,
shapes_size, ghost_type, NULL);
delete field_times_shapes;
int_field_times_shapes->extendComponentsInterlaced(nb_degree_of_freedom,1);
assembleVector(*int_field_times_shapes, lumped, equation_number,nb_degree_of_freedom, type, ghost_type);
delete int_field_times_shapes;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
/**
* @f$ \tilde{M}_{i} = c * M_{ii} = \int_{V_e} \rho dV @f$
*/
template <typename Integ, typename Shape>
template <ElementType type>
void FEMTemplate<Integ,Shape>::assembleLumpedDiagonalScaling(const Vector<Real> & field_1,
UInt nb_degree_of_freedom,
Vector<Real> & lumped,
const Vector<Int> & equation_number,
const GhostType & ghost_type) const {
AKANTU_DEBUG_IN();
UInt nb_nodes_per_element_p1 = Mesh::getNbNodesPerElement(Mesh::getP1ElementType(type));
UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
UInt nb_quadrature_points = integrator.template getQuadraturePoints<type>(ghost_type).getSize();
UInt nb_element = field_1.getSize() / nb_quadrature_points;
Real corner_factor = 0;
Real mid_factor = 0;
if(type == _triangle_6) {
corner_factor = 1./12.;
mid_factor = 1./4.;
}
if (type == _tetrahedron_10) {
corner_factor = 1./32.;
mid_factor = 7./48.;
}
if (type == _quadrangle_8) {
corner_factor = 1./36.;
mid_factor = 8./36.;
}
if (nb_element == 0) {
AKANTU_DEBUG_OUT();
return;
}
/// compute @f$ \int \rho dV = \rho V @f$ for each element
Vector<Real> * int_field_1 = new Vector<Real>(field_1.getSize(), 1,
"inte_rho_x_1");
integrator.template integrate<type>(field_1, *int_field_1, 1, ghost_type, NULL);
/// distribute the mass of the element to the nodes
Vector<Real> * lumped_per_node = new Vector<Real>(nb_element, nb_nodes_per_element, "mass_per_node");
Real * int_field_1_val = int_field_1->values;
Real * lumped_per_node_val = lumped_per_node->values;
for (UInt e = 0; e < nb_element; ++e) {
Real lmass = *int_field_1_val * corner_factor;
for (UInt n = 0; n < nb_nodes_per_element_p1; ++n)
*lumped_per_node_val++ = lmass; /// corner points
lmass = *int_field_1_val * mid_factor;
for (UInt n = nb_nodes_per_element_p1; n < nb_nodes_per_element; ++n)
*lumped_per_node_val++ = lmass; /// mid points
int_field_1_val++;
}
delete int_field_1;
lumped_per_node->extendComponentsInterlaced(nb_degree_of_freedom,1);
assembleVector(*lumped_per_node, lumped, equation_number, nb_degree_of_freedom, type, ghost_type);
delete lumped_per_node;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
/**
* @f$ \tilde{M}_{i} = \sum_j M_{ij} = \sum_j \int \rho \varphi_i \varphi_j dV = \int \rho \varphi_i dV @f$
*/
template <typename Integ, typename Shape>
template <ElementType type>
void FEMTemplate<Integ,Shape>::assembleFieldMatrix(const Vector<Real> & field_1,
UInt nb_degree_of_freedom,
SparseMatrix & matrix,
const GhostType & ghost_type) const {
AKANTU_DEBUG_IN();
UInt vect_size = field_1.getSize();
UInt shapes_size = ElementClass<type>::getShapeSize();
UInt lmat_size = nb_degree_of_freedom * shapes_size;
const Vector<Real> & shapes = shape_functions.getShapes(type,ghost_type);
Vector<Real> * modified_shapes = new Vector<Real>(vect_size, lmat_size * nb_degree_of_freedom);
modified_shapes->clear();
Vector<Real> * local_mat = new Vector<Real>(vect_size, lmat_size * lmat_size);
Vector<Real>::iterator<types::Matrix> shape_vect = modified_shapes->begin(nb_degree_of_freedom, lmat_size);
Real * sh = shapes.values;
for(UInt q = 0; q < vect_size; ++q) {
Real * msh = shape_vect->storage();
for (UInt d = 0; d < nb_degree_of_freedom; ++d) {
Real * msh_tmp = msh + d * (lmat_size + 1);
for (UInt s = 0; s < shapes_size; ++s) {
*msh_tmp = sh[s];
msh_tmp += nb_degree_of_freedom;
}
}
++shape_vect;
sh += shapes_size;
}
shape_vect = modified_shapes->begin(nb_degree_of_freedom, lmat_size);
Vector<Real>::iterator<types::Matrix> lmat = local_mat->begin(lmat_size, lmat_size);
Real * field_val = field_1.values;
for(UInt q = 0; q < vect_size; ++q) {
(*lmat).mul<true, false>(*shape_vect, *shape_vect, *field_val);
++lmat; ++shape_vect; ++field_val;
}
delete modified_shapes;
UInt nb_element = mesh->getNbElement(type, ghost_type);
Vector<Real> * int_field_times_shapes = new Vector<Real>(nb_element, lmat_size * lmat_size,
"inte_rho_x_shapes");
integrator.template integrate<type>(*local_mat, *int_field_times_shapes,
lmat_size * lmat_size, ghost_type, NULL);
delete local_mat;
assembleMatrix(*int_field_times_shapes, matrix, nb_degree_of_freedom, type, ghost_type);
delete int_field_times_shapes;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <>
void FEMTemplate< IntegratorCohesive<IntegratorGauss>, ShapeCohesive<ShapeLagrange> >::
gradientOnQuadraturePoints(__attribute__((unused)) const Vector<Real> &u,
__attribute__((unused)) Vector<Real> &nablauq,
__attribute__((unused)) const UInt nb_degree_of_freedom,
__attribute__((unused)) const ElementType & type,
__attribute__((unused)) const GhostType & ghost_type,
__attribute__((unused)) const Vector<UInt> * filter_elements) const {
AKANTU_DEBUG_TO_IMPLEMENT();
}
/* -------------------------------------------------------------------------- */
/* template instanciation */
/* -------------------------------------------------------------------------- */
template class FEMTemplate<IntegratorGauss,ShapeLagrange>;
template class FEMTemplate<IntegratorGauss,ShapeLinked>;
template class FEMTemplate< IntegratorCohesive<IntegratorGauss>, ShapeCohesive<ShapeLagrange> >;
__END_AKANTU__
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