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rAKA/test/test_model/test_model_solver/test_model_solver_dynamic.cc
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test_model_solver_dynamic.cc
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/**
* @file test_model_solver_dynamic.cc
*
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Wed Apr 13 2016
* @date last modification: Tue Feb 20 2018
*
* @brief Test default dof manager
*
* @section LICENSE
*
* Copyright (©) 2016-2018 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 "communicator.hh"
#include "element_group.hh"
#include "mesh.hh"
#include "mesh_accessor.hh"
#include "non_linear_solver.hh"
/* -------------------------------------------------------------------------- */
#include "dumpable_inline_impl.hh"
#include "dumper_element_partition.hh"
#include "dumper_iohelper_paraview.hh"
/* -------------------------------------------------------------------------- */
#include "test_model_solver_my_model.hh"
/* -------------------------------------------------------------------------- */
#include <fstream>
/* -------------------------------------------------------------------------- */
#ifndef EXPLICIT
#define EXPLICIT true
#endif
using namespace akantu;
class Sinusoidal : public BC::Dirichlet::DirichletFunctor {
public:
Sinusoidal(MyModel & model, Real amplitude, Real pulse_width, Real t)
: model(model), A(amplitude), k(2 * M_PI / pulse_width),
t(t), v{std::sqrt(model.E / model.rho)} {}
void operator()(UInt n, Vector<bool> & /*flags*/, Vector<Real> & disp,
const Vector<Real> & coord) const {
auto x = coord(_x);
model.velocity(n, _x) = k * v * A * sin(k * (x - v * t));
disp(_x) = A * cos(k * (x - v * t));
}
private:
MyModel & model;
Real A{1.};
Real k{2 * M_PI};
Real t{1.};
Real v{1.};
};
static void genMesh(Mesh & mesh, UInt nb_nodes);
/* -------------------------------------------------------------------------- */
int main(int argc, char * argv[]) {
initialize(argc, argv);
UInt prank = Communicator::getStaticCommunicator().whoAmI();
UInt global_nb_nodes = 201;
UInt max_steps = 400;
Real time_step = 0.001;
Mesh mesh(1);
Real F = -9.81;
bool _explicit = EXPLICIT;
const Real pulse_width = 0.2;
const Real A = 0.01;
if (prank == 0)
genMesh(mesh, global_nb_nodes);
mesh.distribute();
// mesh.makePeriodic(_x);
MyModel model(F, mesh, _explicit);
model.forces.clear();
model.blocked.clear();
model.applyBC(Sinusoidal(model, A, pulse_width, 0.), "all");
model.applyBC(BC::Dirichlet::FlagOnly(_x), "border");
if (!_explicit) {
model.getNewSolver("dynamic", TimeStepSolverType::_dynamic,
NonLinearSolverType::_newton_raphson);
model.setIntegrationScheme("dynamic", "disp",
IntegrationSchemeType::_trapezoidal_rule_2,
IntegrationScheme::_displacement);
} else {
model.getNewSolver("dynamic", TimeStepSolverType::_dynamic_lumped,
NonLinearSolverType::_lumped);
model.setIntegrationScheme("dynamic", "disp",
IntegrationSchemeType::_central_difference,
IntegrationScheme::_acceleration);
}
model.setTimeStep(time_step);
if (prank == 0) {
std::cout << std::scientific;
std::cout << std::setw(14) << "time"
<< "," << std::setw(14) << "wext"
<< "," << std::setw(14) << "epot"
<< "," << std::setw(14) << "ekin"
<< "," << std::setw(14) << "total"
<< "," << std::setw(14) << "max_disp"
<< "," << std::setw(14) << "min_disp" << std::endl;
}
Real wext = 0.;
model.getDOFManager().clearResidual();
model.assembleResidual();
Real epot = 0; // model.getPotentialEnergy();
Real ekin = 0; // model.getKineticEnergy();
Real einit = ekin + epot;
Real etot = ekin + epot - wext - einit;
Real max_disp = 0., min_disp = 0.;
for (auto && disp : model.displacement) {
max_disp = std::max(max_disp, disp);
min_disp = std::min(min_disp, disp);
}
if (prank == 0) {
std::cout << std::setw(14) << 0. << "," << std::setw(14) << wext << ","
<< std::setw(14) << epot << "," << std::setw(14) << ekin << ","
<< std::setw(14) << etot << "," << std::setw(14) << max_disp
<< "," << std::setw(14) << min_disp << std::endl;
}
#if EXPLICIT == false
NonLinearSolver & solver =
model.getDOFManager().getNonLinearSolver("dynamic");
solver.set("max_iterations", 20);
#endif
auto * dumper = new DumperParaview("dynamic", "./paraview");
mesh.registerExternalDumper(*dumper, "dynamic", true);
mesh.addDumpMesh(mesh);
mesh.addDumpFieldExternalToDumper("dynamic", "displacement",
model.displacement);
mesh.addDumpFieldExternalToDumper("dynamic", "velocity", model.velocity);
mesh.addDumpFieldExternalToDumper("dynamic", "forces", model.forces);
mesh.addDumpFieldExternalToDumper("dynamic", "acceleration",
model.acceleration);
mesh.dump();
for (UInt i = 1; i < max_steps + 1; ++i) {
model.applyBC(Sinusoidal(model, A, pulse_width, time_step * (i - 1)),
"border");
model.solveStep("dynamic");
mesh.dump();
epot = model.getPotentialEnergy();
ekin = model.getKineticEnergy();
wext += model.getExternalWorkIncrement();
etot = ekin + epot - wext - einit;
Real max_disp = 0., min_disp = 0.;
for (auto && disp : model.displacement) {
max_disp = std::max(max_disp, disp);
min_disp = std::min(min_disp, disp);
}
if (prank == 0) {
std::cout << std::setw(14) << time_step * i << "," << std::setw(14)
<< wext << "," << std::setw(14) << epot << "," << std::setw(14)
<< ekin << "," << std::setw(14) << etot << "," << std::setw(14)
<< max_disp << "," << std::setw(14) << min_disp << std::endl;
}
}
// output.close();
finalize();
return EXIT_SUCCESS;
}
/* -------------------------------------------------------------------------- */
void genMesh(Mesh & mesh, UInt nb_nodes) {
MeshAccessor mesh_accessor(mesh);
Array<Real> & nodes = mesh_accessor.getNodes();
Array<UInt> & conn = mesh_accessor.getConnectivity(_segment_2);
nodes.resize(nb_nodes);
auto & all = mesh.createNodeGroup("all_nodes");
for (UInt n = 0; n < nb_nodes; ++n) {
nodes(n, _x) = n * (1. / (nb_nodes - 1));
all.add(n);
}
mesh.createElementGroupFromNodeGroup("all", "all_nodes");
conn.resize(nb_nodes - 1);
for (UInt n = 0; n < nb_nodes - 1; ++n) {
conn(n, 0) = n;
conn(n, 1) = n + 1;
}
Array<UInt> & conn_points = mesh_accessor.getConnectivity(_point_1);
conn_points.resize(2);
conn_points(0, 0) = 0;
conn_points(1, 0) = nb_nodes - 1;
auto & border = mesh.createElementGroup("border", 0);
border.add({_point_1, 0, _not_ghost}, true);
border.add({_point_1, 1, _not_ghost}, true);
mesh_accessor.makeReady();
}
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