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heat_transfer_model.cc
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/**
* @file heat_transfer_model.cc
* @author Rui WANG<rui.wang@epfl.ch>
* @date Fri May 4 13:46:43 2011
*
* @brief Implementation of HeatTransferModel class
*
* @section LICENSE
*
* Copyright (©) 2010-2011 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/>.
*el_size
*/
/* -------------------------------------------------------------------------- */
/* -------------------------------------------------------------------------- */
#include "heat_transfer_model.hh"
#include "aka_math.hh"
//#include "integration_scheme_2nd_order.hh"
#include "aka_common.hh"
#include <fstream>
#include <iostream>
#include "mesh.hh"
#include "mesh_io.hh"
#include "mesh_io_msh.hh"
#include "static_communicator.hh"
#include "sparse_matrix.hh"
#include "solver.hh"
//#include "solid_mechanics_model.hh"
#include"sparse_matrix.hh"
// #include "fem_template.cc"
#include "fem_template.hh"
using namespace std;
#ifdef AKANTU_USE_MUMPS
#include "solver_mumps.hh"
#endif
/* -------------------------------------------------------------------------- */
__BEGIN_AKANTU__
HeatTransferModel::HeatTransferModel(Mesh & mesh,
UInt dim,
const ModelID & id,
const MemoryID & memory_id):
Model(id, memory_id),
spatial_dimension(dim)
{
AKANTU_DEBUG_IN();
if (spatial_dimension == 0) spatial_dimension = mesh.getSpatialDimension();
registerFEMObject<MyFEMType>("HeatTransferFEM",mesh,spatial_dimension);
this->temperature= NULL;
for (UInt t = _not_defined; t < _max_element_type; ++t) {
this->temperature_gradient[t] = NULL;
}
this->heat_flux = NULL;
this->boundary = NULL;
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
/* Initialisation */
/* -------------------------------------------------------------------------- */
/* -------------------------------------------------------------------------- */
void HeatTransferModel::initModel()
{
getFEM().initShapeFunctions(_not_ghost);
getFEM().initShapeFunctions(_ghost);
}
void HeatTransferModel::initVectors()
{
AKANTU_DEBUG_IN();
UInt nb_nodes = getFEM().getMesh().getNbNodes();
std::stringstream sstr_temp; sstr_temp << id << ":temperature";
std::stringstream sstr_heat_flux; sstr_heat_flux << id << ":heat flux";
std::stringstream sstr_lump; sstr_lump<<id<<":lumped";
std::stringstream sstr_boun; sstr_boun<<id<<":boundary";
temperature = &(alloc<Real>(sstr_temp.str(), nb_nodes, 1, REAL_INIT_VALUE));
heat_flux= &(alloc<Real>(sstr_heat_flux.str(), nb_nodes, 1, REAL_INIT_VALUE));
lumped= &(alloc<Real>(sstr_lump.str(), nb_nodes, 1, REAL_INIT_VALUE));
boundary= &(alloc<bool>(sstr_boun.str(), nb_nodes, 1, false));
const Mesh::ConnectivityTypeList & type_list = this->getFEM().getMesh().getConnectivityTypeList(_not_ghost);
Mesh::ConnectivityTypeList::const_iterator it;
for(it = type_list.begin(); it != type_list.end(); ++it)
{
if(Mesh::getSpatialDimension(*it) != spatial_dimension) continue;
std::stringstream sstr_temp_grad; sstr_temp_grad << id << ":temperature gradient:" << *it;
UInt nb_element = getFEM().getMesh().getNbElement(*it);
UInt nb_quad_points = this->getFEM().getNbQuadraturePoints(*it) * nb_element;
std::cout << "Allocating " << sstr_temp_grad.str() << std::endl;
temperature_gradient[*it] = &(alloc<Real>(sstr_temp_grad.str(), nb_quad_points, spatial_dimension, REAL_INIT_VALUE));
}
AKANTU_DEBUG_OUT();
}
HeatTransferModel::~HeatTransferModel()
{
AKANTU_DEBUG_IN();
AKANTU_DEBUG_OUT();
}
void HeatTransferModel::SetConductivityMatrix(Real a[3][3])
{
conductivity = new Real[spatial_dimension * spatial_dimension];
for(int i = 0; i < spatial_dimension; ++i)
for(int j = 0; j < spatial_dimension; ++j)
conductivity[i * spatial_dimension + j] = a[i][j];
}
//set boundary condition
void setBoundaryCondition()
{
AKANTU_DEBUG_IN();
// Mesh::getcomputeBoundingBox();
AKANTU_DEBUG_OUT();
}
void HeatTransferModel::assembleMassLumped(const ElementType &el_type)
{
AKANTU_DEBUG_IN();
FEM & fem = getFEM();
UInt nb_quadrature_points = getFEM().getNbQuadraturePoints(el_type);
UInt nb_element = getFEM().getMesh().getNbElement(el_type);
//???
Vector<Real> rho_1 (nb_element * nb_quadrature_points,1, capacity * density);
const Mesh::ConnectivityTypeList & type_list = fem.getMesh().getConnectivityTypeList();
Mesh::ConnectivityTypeList::const_iterator it;
for(it = type_list.begin(); it != type_list.end(); ++it)
{
if(Mesh::getSpatialDimension(*it) != spatial_dimension) continue;
fem.assembleFieldLumped(rho_1, *lumped, *it, _not_ghost);
}
AKANTU_DEBUG_OUT();
}
// compute the heat flux
void HeatTransferModel:: updateHeatFlux()
{
AKANTU_DEBUG_IN();
heat_flux->clear();
const Mesh::ConnectivityTypeList & type_list = this->getFEM().getMesh().getConnectivityTypeList(_not_ghost);
Mesh::ConnectivityTypeList::const_iterator it;
for(it = type_list.begin(); it != type_list.end(); ++it)
{
if(Mesh::getSpatialDimension(*it) != spatial_dimension) continue;
const Vector<Real> * shapes_derivatives;
shapes_derivatives = &(this->getFEM().getShapesDerivatives(*it));
UInt nb_element = getFEM().getMesh().getNbElement(*it);
UInt nb_quadrature_points = getFEM().getNbQuadraturePoints(*it);
UInt size_of_shapes_derivatives = shapes_derivatives->getNbComponent();
UInt nb_nodes_per_element = Mesh::getNbNodesPerElement(*it);
/*problem is included in computeTemperatureGradient*/
//const Vector<Real> *gT = computeTemperatureGradient(*it);
computeTemperatureGradient(*it);
Real * gT_val = temperature_gradient[*it]->values;
Real * k_gT_val = new Real[spatial_dimension];
Real * shapes_derivatives_val = shapes_derivatives->values;
UInt bt_k_gT_size = nb_nodes_per_element;
Vector <Real> *bt_k_gT = new Vector <Real> (nb_quadrature_points*nb_element, bt_k_gT_size);
Real * bt_k_gT_val = bt_k_gT->values;
for (UInt el = 0; el < nb_element; ++el)
{
for (UInt i = 0; i < nb_quadrature_points; ++i)
{
Math::matrixt_vector(spatial_dimension, spatial_dimension,
conductivity,
gT_val,
k_gT_val);
gT_val += spatial_dimension;
Math::matrix_vector(nb_nodes_per_element, spatial_dimension,
shapes_derivatives_val,
k_gT_val,
bt_k_gT_val);
shapes_derivatives_val += nb_nodes_per_element * spatial_dimension;
bt_k_gT_val += bt_k_gT_size;
}
}
Vector<Real> * q_e = new Vector<Real>(0,bt_k_gT_size,"q_e");
this->getFEM().integrate(*bt_k_gT, *q_e, bt_k_gT_size, *it);
delete bt_k_gT;
// SparseMatrix & K = new SparseMatrix(this->getFEM().getMesh().getNbNodes());
// const Vector<Int> & equation_number = this->getEquationNumber();
// this->getFEM().assembleMatrix(*q_e, K, equation_number, spatial_dimension, *it);
//the previous version of the assemble Vector, it is right, just ignore the external heat flux
this->getFEM().assembleVector(*q_e, *heat_flux, 1, *it);
//this->getFEM().assembleVector(*q_e, *heat_flux, 1, *it,_not_ghost,NULL);
delete q_e;
AKANTU_DEBUG_OUT();
}
}
//compute temperature gradient
void HeatTransferModel:: computeTemperatureGradient(const ElementType &el_type )
{
AKANTU_DEBUG_IN();
this->getFEM().gradientOnQuadraturePoints(*temperature, *temperature_gradient[el_type], 1 ,el_type);
AKANTU_DEBUG_OUT();
}
/*except updateflux, everything is fine*/
//compute the temperature
void HeatTransferModel::updateTemperature()
{
AKANTU_DEBUG_IN();
// updateHeatFlux();
UInt nb_nodes=getFEM().getMesh().getNbNodes();
for(UInt i=0; i < nb_nodes; i++)
{
if(!((*boundary)(i)))
{
//if((*temperature)(i)<0) (*temperature)(i)=0.0;
(*temperature)(i,0) = (*temperature)(i,0) - (*heat_flux)(i,0) * time_step / (*lumped)(i,0);
(*temperature)(i,0) = std::max((*temperature)(i,0), 5.0);
//for testing
//(*temperature)(i) = std::min((*temperature)(i), 300.0);
}
//(*shapes_conductivity_shapes)(i)=(* shapes_conductivity_shapes)(i)*temperature(i);
//(*temperature)(i) -= (*shapes_conductivity_shapes)(i) * time_step / (*lumped)(i);
}
AKANTU_DEBUG_OUT();
}
//choose scheme for temperature iteration
/*a=0.0, the forward Euler; a=0.5, the Crank-Nicolson;a=2.0/3, Galerkin;a=1.0,backward Euler*/
void HeatTransferModel::integrationScheme1stOrder(Real thelta, UInt N, Vector<Real> * temperature)
{
AKANTU_DEBUG_IN();
//remember to use time_step
if(thelta=0.0)
{
// temperature->values[i] += temperature->values[i] + heat_flux->values[i]/lumped->values[i];
}
else if(thelta=0.5)
{
}
else if(thelta=1.0)
{
}
AKANTU_DEBUG_OUT();
}
Real HeatTransferModel::getStableTimeStep()
{
AKANTU_DEBUG_IN();
Real conductivitymax = -std::numeric_limits<Real>::max();
Real el_size;
Real min_el_size = std::numeric_limits<Real>::max();
Real * coord = getFEM().getMesh().getNodes().values;
const Mesh::ConnectivityTypeList & type_list = getFEM().getMesh().getConnectivityTypeList();
Mesh::ConnectivityTypeList::const_iterator it;
for(it = type_list.begin(); it != type_list.end(); ++it)
{
if(getFEM().getMesh().getSpatialDimension(*it) != spatial_dimension) continue;
UInt nb_nodes_per_element = getFEM().getMesh().getNbNodesPerElement(*it);
UInt nb_element = getFEM().getMesh().getNbElement(*it);
UInt * conn = getFEM().getMesh().getConnectivity(*it).values;
Real * u = new Real[nb_nodes_per_element*spatial_dimension];
for (UInt el = 0; el < nb_element; ++el)
{
UInt el_offset = el * nb_nodes_per_element;
for (UInt n = 0; n < nb_nodes_per_element; ++n)
{
UInt offset_conn = conn[el_offset + n] * spatial_dimension;
memcpy(u + n * spatial_dimension,
coord + offset_conn,
spatial_dimension * sizeof(Real));
}
el_size = getFEM().getElementInradius(u, *it);
//get the biggest parameter from k11 until k33//
for(UInt i = 0; i < spatial_dimension * spatial_dimension; i++)
{
if(conductivity[i] > conductivitymax)
conductivitymax=conductivity[i];
}
min_el_size = std::min(min_el_size, el_size);
}
cout<<min_el_size<<endl;
cout<<"the minimum size:"<<conductivitymax<<endl;
delete [] u;
}
Real min_dt = 2* min_el_size * min_el_size * density * capacity/conductivitymax ;
time_step = min_dt;
return time_step;
AKANTU_DEBUG_OUT();
}
__END_AKANTU__

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