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rAKA/src/model/integration_scheme/generalized_trapezoidal.cc
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generalized_trapezoidal.cc
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/**
* @file generalized_trapezoidal.cc
*
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Mon Jul 04 2011
* @date last modification: Thu Jun 05 2014
*
* @brief implementation of inline functions
*
* @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/>.
*
*/
/* -------------------------------------------------------------------------- */
#include "generalized_trapezoidal.hh"
#include "mesh.hh"
#include "aka_array.hh"
#include "dof_manager.hh"
#include "sparse_matrix.hh"
/* -------------------------------------------------------------------------- */
__BEGIN_AKANTU__
/* -------------------------------------------------------------------------- */
GeneralizedTrapezoidal::GeneralizedTrapezoidal(DOFManager & dof_manager,
const ID & dof_id, Real alpha)
: IntegrationScheme1stOrder(dof_manager, dof_id), alpha(alpha) {
this->registerParam("alpha", this->alpha, alpha, _pat_parsmod, "The alpha parameter");
}
/* -------------------------------------------------------------------------- */
void GeneralizedTrapezoidal::predictor(Real delta_t, Array<Real> & u,
Array<Real> & u_dot,
const Array<bool> & blocked_dofs) const {
AKANTU_DEBUG_IN();
UInt nb_nodes = u.getSize();
UInt nb_degree_of_freedom = u.getNbComponent() * nb_nodes;
Real * u_val = u.storage();
Real * u_dot_val = u_dot.storage();
bool * blocked_dofs_val = blocked_dofs.storage();
for (UInt d = 0; d < nb_degree_of_freedom; d++) {
if (!(*blocked_dofs_val)) {
*u_val += (1. - alpha) * delta_t * *u_dot_val;
}
u_val++;
u_dot_val++;
blocked_dofs_val++;
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void GeneralizedTrapezoidal::corrector(const SolutionType & type, Real delta_t,
Array<Real> & u, Array<Real> & u_dot,
const Array<bool> & blocked_dofs,
const Array<Real> & delta) const {
AKANTU_DEBUG_IN();
switch (type) {
case _temperature:
this->allCorrector<_temperature>(delta_t, u, u_dot, blocked_dofs, delta);
break;
case _temperature_rate:
this->allCorrector<_temperature_rate>(delta_t, u, u_dot, blocked_dofs,
delta);
break;
default:
AKANTU_EXCEPTION("The corrector type : "
<< type
<< " is not supported by this type of integration scheme");
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
Real GeneralizedTrapezoidal::getTemperatureCoefficient(
const SolutionType & type, Real delta_t) const {
switch (type) {
case _temperature:
return 1.;
case _temperature_rate:
return alpha * delta_t;
default:
AKANTU_EXCEPTION("The corrector type : "
<< type
<< " is not supported by this type of integration scheme");
}
}
/* -------------------------------------------------------------------------- */
Real GeneralizedTrapezoidal::getTemperatureRateCoefficient(
const SolutionType & type, Real delta_t) const {
switch (type) {
case _temperature:
return 1. / (alpha * delta_t);
case _temperature_rate:
return 1.;
default:
AKANTU_EXCEPTION("The corrector type : "
<< type
<< " is not supported by this type of integration scheme");
}
}
/* -------------------------------------------------------------------------- */
template <IntegrationScheme::SolutionType type>
void GeneralizedTrapezoidal::allCorrector(Real delta_t, Array<Real> & u,
Array<Real> & u_dot,
const Array<bool> & blocked_dofs,
const Array<Real> & delta) const {
AKANTU_DEBUG_IN();
UInt nb_nodes = u.getSize();
UInt nb_degree_of_freedom = u.getNbComponent() * nb_nodes;
Real e = getTemperatureCoefficient(type, delta_t);
Real d = getTemperatureRateCoefficient(type, delta_t);
Real * u_val = u.storage();
Real * u_dot_val = u_dot.storage();
Real * delta_val = delta.storage();
bool * blocked_dofs_val = blocked_dofs.storage();
for (UInt dof = 0; dof < nb_degree_of_freedom; dof++) {
if (!(*blocked_dofs_val)) {
*u_val += e ** delta_val;
*u_dot_val += d ** delta_val;
}
u_val++;
u_dot_val++;
delta_val++;
blocked_dofs_val++;
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
void GeneralizedTrapezoidal::assembleJacobian(const SolutionType & type,
Real delta_t) {
AKANTU_DEBUG_IN();
SparseMatrix & J = this->dof_manager.getMatrix("J");
const SparseMatrix & M = this->dof_manager.getMatrix("M");
const SparseMatrix & K = this->dof_manager.getMatrix("K");
Real c = this->getTemperatureRateCoefficient(type, delta_t);
Real e = this->getTemperatureCoefficient(type, delta_t);
J.add(M, e);
J.add(K, c);
AKANTU_DEBUG_OUT();
}
__END_AKANTU__
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