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rAKA/examples/c++/diffusion_model/heat_diffusion_dynamics_2d.cc
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heat_diffusion_dynamics_2d.cc
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/**
* Copyright (©) 2011-2023 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* This file is part of Akantu
*
* 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 "heat_transfer_model.hh"
/* -------------------------------------------------------------------------- */
#include <iostream>
/* -------------------------------------------------------------------------- */
using namespace akantu;
/* -------------------------------------------------------------------------- */
const Int spatial_dimension = 2;
int main(int argc, char * argv[]) {
initialize("material.dat", argc, argv);
// create mesh
Mesh mesh(spatial_dimension);
mesh.read("square.msh");
HeatTransferModel model(mesh);
// initialize everything
model.initFull(_analysis_method = _explicit_lumped_mass);
// get stable time step
Real time_step = model.getStableTimeStep() * 0.8;
std::cout << "time step is:" << time_step << "\n";
model.setTimeStep(time_step);
// boundary conditions
const Array<Real> & nodes = model.getFEEngine().getMesh().getNodes();
Array<bool> & boundary = model.getBlockedDOFs();
Array<Real> & temperature = model.getTemperature();
double length = 1.;
auto nb_nodes = model.getFEEngine().getMesh().getNbNodes();
for (Int i = 0; i < nb_nodes; ++i) {
temperature(i) = 100.;
Real dx = nodes(i, 0) - length / 4.;
Real dy = 0.0;
Real dz = 0.0;
if (spatial_dimension > 1) {
dy = nodes(i, 1) - length / 4.;
}
if (spatial_dimension == 3) {
dz = nodes(i, 2) - length / 4.;
}
Real d = sqrt(dx * dx + dy * dy + dz * dz);
if (d < 0.1) {
boundary(i) = true;
temperature(i) = 300.;
}
}
model.setBaseName("heat_diffusion_square2d");
model.addDumpField("temperature");
model.addDumpField("temperature_rate");
model.addDumpField("internal_heat_rate");
// main loop
int max_steps = 15000;
for (int i = 0; i < max_steps; i++) {
model.solveStep();
if (i % 100 == 0) {
model.dump();
}
if (i % 10 == 0) {
std::cout << "Step " << i << "/" << max_steps << "\n";
}
}
std::cout << "\n\n Stable Time Step is : " << time_step << "\n \n"
<< "\n";
return 0;
}
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