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gsElTimeIntegrator.hpp
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gsElTimeIntegrator.hpp
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/** @file gsElTimeIntegrator.hpp
@brief A class providing time integration for dynamical elasticity.
This file is part of the G+Smo library.
This Source Code Form is subject to the terms of the Mozilla Public
License, v. 2.0. If a copy of the MPL was not distributed with this
file, You can obtain one at http://mozilla.org/MPL/2.0/.
Author(s):
O. Weeger (2012 - 2015, TU Kaiserslautern),
A.Shamanskiy (2016 - ...., TU Kaiserslautern)
*/
#pragma once
#include <gsElasticity/gsElTimeIntegrator.h>
#include <gsElasticity/gsElasticityAssembler.h>
#include <gsElasticity/gsMassAssembler.h>
#include <gsElasticity/gsIterative.h>
namespace gismo
{
template <class T>
gsElTimeIntegrator<T>::gsElTimeIntegrator(gsElasticityAssembler<T> & stiffAssembler_,
gsMassAssembler<T> & massAssembler_)
: stiffAssembler(stiffAssembler_),
massAssembler(massAssembler_)
{
initialized = false;
m_options = defaultOptions();
m_ddof = stiffAssembler.allFixedDofs();
numIters = 0;
hasSavedState = false;
}
template <class T>
gsOptionList gsElTimeIntegrator<T>::defaultOptions()
{
gsOptionList opt = Base::defaultOptions();
opt.addInt("Scheme","Time integration scheme",time_integration::implicit_linear);
opt.addReal("Beta","Parameter beta for the time integration scheme, see Wriggers, Nonlinear FEM, p.213 ",0.25);
opt.addReal("Gamma","Parameter gamma for the time integration scheme, see Wriggers, Nonlinear FEM, p.213 ",0.5);
opt.addInt("Verbosity","Amount of information printed to the terminal: none, some, all",solver_verbosity::none);
return opt;
}
template <class T>
void gsElTimeIntegrator<T>::initialize()
{
GISMO_ENSURE(dispVector.rows() == stiffAssembler.numDofs(),
"No initial conditions provided!");
GISMO_ENSURE(velVector.rows() == stiffAssembler.numDofs(),
"No initial conditions provided!");
stiffAssembler.assemble(dispVector,m_ddof);
massAssembler.assemble();
gsSparseSolver<>::SimplicialLDLT solver(massAssembler.matrix());
accVector = solver.solve(stiffAssembler.rhs());
initialized = true;
}
template <class T>
void gsElTimeIntegrator<T>::makeTimeStep(T timeStep)
{
if (!initialized)
initialize();
tStep = timeStep;
gsMatrix<T> newDispVector;
if (m_options.getInt("Scheme") == time_integration::implicit_linear)
newDispVector = implicitLinear();
if (m_options.getInt("Scheme") == time_integration::implicit_nonlinear)
newDispVector = implicitNonlinear();
gsMatrix<T> tempVelVector = velVector;
velVector = alpha4()*(newDispVector - dispVector) + alpha5()*tempVelVector + alpha6()*accVector;
accVector = alpha1()*(newDispVector - dispVector) - alpha2()*tempVelVector - alpha3()*accVector;
dispVector = newDispVector;
}
template <class T>
gsMatrix<T> gsElTimeIntegrator<T>::implicitLinear()
{
m_system.matrix() = alpha1()*massAssembler.matrix() + stiffAssembler.matrix();
m_system.matrix().makeCompressed();
m_system.rhs() = massAssembler.matrix()*(alpha1()*dispVector + alpha2()*velVector + alpha3()*accVector) + stiffAssembler.rhs();
#ifdef GISMO_WITH_PARDISO
gsSparseSolver<>::PardisoLDLT solver(m_system.matrix());
return solver.solve(m_system.rhs());
#else
gsSparseSolver<>::SimplicialLDLT solver(m_system.matrix());
return solver.solve(m_system.rhs());
#endif
numIters = 1;
}
template <class T>
gsMatrix<T> gsElTimeIntegrator<T>::implicitNonlinear()
{
gsIterative<T> solver(*this,dispVector);
solver.options().setInt("Verbosity",m_options.getInt("Verbosity"));
solver.options().setInt("Solver",linear_solver::LDLT);
solver.solve();
numIters = solver.numberIterations();
return solver.solution();
}
template <class T>
bool gsElTimeIntegrator<T>::assemble(const gsMatrix<T> & solutionVector,
const std::vector<gsMatrix<T> > & fixedDoFs)
{
stiffAssembler.assemble(solutionVector,fixedDoFs);
m_system.matrix() = alpha1()*massAssembler.matrix() + stiffAssembler.matrix();
m_system.matrix().makeCompressed();
m_system.rhs() = stiffAssembler.rhs() +
massAssembler.matrix()*(alpha1()*(dispVector-solutionVector) + alpha2()*velVector + alpha3()*accVector);
return true;
}
template <class T>
void gsElTimeIntegrator<T>::constructSolution(gsMultiPatch<T> & solution) const
{
stiffAssembler.constructSolution(dispVector,m_ddof,solution);
}
template <class T>
void gsElTimeIntegrator<T>::saveState()
{
if (!initialized)
initialize();
dispVecSaved = dispVector;
velVecSaved = velVector;
accVecSaved = accVector;
ddofsSaved = m_ddof;
hasSavedState = true;
}
template <class T>
void gsElTimeIntegrator<T>::recoverState()
{
GISMO_ENSURE(hasSavedState,"No state saved!");
dispVector = dispVecSaved;
velVector = velVecSaved;
accVector = accVecSaved;
m_ddof = ddofsSaved;
}
} // namespace ends