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rAKA/examples/heat_transfer/heat_transfer_static_2d.cc
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heat_transfer_static_2d.cc
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/**
* @file heat_transfer_static_2d.cc
*
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Sun May 01 2011
* @date last modification: Fri Mar 16 2018
*
* @brief Heat transfer model example in 2D
*
*
* @section LICENSE
*
* Copyright (©) 2010-2021 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 "heat_transfer_model.hh"
/* -------------------------------------------------------------------------- */
#include <cmath>
#include <fstream>
#include <iostream>
#include <string>
/* -------------------------------------------------------------------------- */
using namespace akantu;
/* -------------------------------------------------------------------------- */
Int spatial_dimension = 2;
std::string base_name;
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 = _static);
// boundary conditions
const Array<Real> & nodes = mesh.getNodes();
Array<bool> & blocked_dofs = model.getBlockedDOFs();
Array<Real> & temperature = model.getTemperature();
double length = 1.;
Int nb_nodes = nodes.size();
for (Int i = 0; i < nb_nodes; ++i) {
temperature(i) = 100.;
Real dx = nodes(i, 0);
Real dy = nodes(i, 1);
Vector<Real> dX = {dx, dy};
dX.array() -= length / 4.;
Real d = dX.norm();
if (d < 0.1) {
blocked_dofs(i) = true;
temperature(i) = 300.;
}
if (std::abs(dx) < 1e-4 || std::abs(dy) < 1e-4)
blocked_dofs(i) = true;
if (std::abs(dx - length) < 1e-4 || std::abs(dy - length) < 1e-4)
blocked_dofs(i) = true;
}
model.setBaseName("heat_transfer_static_2d");
model.addDumpField("temperature");
model.addDumpField("internal_heat_rate");
model.addDumpField("conductivity");
model.addDumpField("blocked_dofs");
model.dump();
model.solveStep();
model.dump();
return 0;
}
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