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heat_diffusion.cc
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Wed, Dec 4, 17:19

heat_diffusion.cc
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#include "heat_diffusion.hh"
#include "heat_transfer_model.hh"
namespace akantu {
/* -------------------------------------------------------------------------- */
template <Int dim>
HeatDiffusion<dim>::HeatDiffusion(DiffusionModel & model, const ID & id,
const ID & fe_engine_id)
: DiffusionLaw(model, id, fe_engine_id) {
this->registerParam("density", density, _pat_parsmod);
this->registerParam("conductivity", conductivity, _pat_parsmod);
this->registerParam("conductivity_variation", conductivity_variation, 0.,
_pat_parsmod);
this->registerParam("temperature_reference", T_ref, 0., _pat_parsmod);
this->registerParam("capacity", capacity, _pat_parsmod);
}
/* -------------------------------------------------------------------------- */
template <Int dim> void HeatDiffusion<dim>::updateInternalParameters() {
Matrix<Real> tmp = conductivity.block<dim, dim>(0, 0);
conductivity = tmp;
this->diffusivity.set(conductivity);
Parent::updateInternalParameters();
}
/* -------------------------------------------------------------------------- */
template <Int dim>
void HeatDiffusion<dim>::computeDiffusivityGradUOnQuadPoints(
ElementType type, GhostType ghost_type) {
this->computeDiffusivityOnQuadPoints(type, ghost_type);
for (auto && args : getArguments(type, ghost_type)) {
const auto & C = args["diffusivity"_n];
const auto & BT = args["∇u"_n];
auto & k_BT = args["D∇u"_n];
k_BT = C * BT;
}
}
/* -------------------------------------------------------------------------- */
template <Int dim>
void HeatDiffusion<dim>::computeDiffusivityOnQuadPoints(ElementType type,
GhostType ghost_type) {
auto temperature_release = this->getHandler().getDiffusionRelease();
auto & diffusivity_release = this->diffusivity.getRelease(type, ghost_type);
if (diffusivity_release != -1 and
diffusivity_release == temperature_release) {
return;
}
for (auto && type : getElementFilter().elementTypes(dim, ghost_type)) {
Array<Real> temperature_on_qpoints(0, 1);
// compute the temperature on quadrature points
this->getFEEngine().interpolateOnIntegrationPoints(
getHandler().getDiffusion(), temperature_on_qpoints, 1, type,
ghost_type, getElementFilter(type, ghost_type));
for (auto && [C, T] :
zip(make_view<dim, dim>(this->diffusivity(type, ghost_type)),
temperature_on_qpoints)) {
C = conductivity;
C.array() += conductivity_variation * (T - T_ref);
}
}
diffusivity_release = temperature_release;
}
/* -------------------------------------------------------------------------- */
template <Int dim>
Real HeatDiffusion<dim>::getStableTimeStep(Real element_size) {
Real conductivity_max{};
Vector<Real> ce;
conductivity.eig(ce);
for (auto c : ce) {
conductivity_max = std::max(c, conductivity_max);
}
Real min_dt = 2. * element_size * element_size / 4. * this->density *
capacity / conductivity_max;
return min_dt;
}
/* -------------------------------------------------------------------------- */
template <Int dim>
template <class iterator, class t_iterator>
void HeatDiffusion<dim>::getThermalEnergy(iterator Eth, t_iterator T_it,
t_iterator T_end) const {
for (; T_it != T_end; ++T_it, ++Eth) {
*Eth = capacity * density * *T_it;
}
}
/* -------------------------------------------------------------------------- */
template <Int dim>
auto HeatDiffusion<dim>::getThermalEnergy(const Element & element) -> Real {
AKANTU_DEBUG_IN();
auto nb_quadrature_points =
getFEEngine().getNbIntegrationPoints(element.type);
Vector<Real> Eth_on_quarature_points(nb_quadrature_points);
Array<Real> temperature_interpolated(0, 1);
Array<Idx> filter(1, 1);
filter(0) = element.element;
this->getFEEngine().interpolateOnIntegrationPoints(
getHandler().getDiffusion(), temperature_interpolated, 1, element.type,
element.ghost_type, filter);
auto T_it = temperature_interpolated.begin();
auto T_end = T_it + nb_quadrature_points;
getThermalEnergy(Eth_on_quarature_points.data(), T_it, T_end);
return getFEEngine().integrate(Eth_on_quarature_points, element);
}
/* -------------------------------------------------------------------------- */
template <Int dim> auto HeatDiffusion<dim>::getThermalEnergy() -> Real {
Real Eth = 0;
auto & fem = getFEEngine();
for (auto && type : getElementFilter().elementTypes(dim, _not_ghost)) {
auto nb_element = getElementFilter(type).size();
auto nb_quadrature_points = fem.getNbIntegrationPoints(type, _not_ghost);
Array<Real> Eth_per_quad(nb_element * nb_quadrature_points, 1);
Array<Real> temperature_interpolated(0, 1);
// compute the temperature on quadrature points
this->getFEEngine().interpolateOnIntegrationPoints(
getHandler().getDiffusion(), temperature_interpolated, 1, type,
_not_ghost, getElementFilter(type));
auto T_it = temperature_interpolated.begin();
auto T_end = temperature_interpolated.end();
getThermalEnergy(Eth_per_quad.begin(), T_it, T_end);
Eth += fem.integrate(Eth_per_quad, type);
}
return Eth;
}
/* -------------------------------------------------------------------------- */
template <Int dim> Real HeatDiffusion<dim>::getEnergy(const ID & energy_id) {
if (energy_id == "thermal") {
return getThermalEnergy();
}
return Parent::getEnergy(energy_id);
}
/* -------------------------------------------------------------------------- */
template <Int dim>
Real HeatDiffusion<dim>::getEnergy(const ID & energy_id,
const Element & element) {
if (energy_id == "thermal") {
return getThermalEnergy(element);
}
return Parent::getEnergy(energy_id, element);
}
/* -------------------------------------------------------------------------- */
template class HeatDiffusion<1>;
template class HeatDiffusion<2>;
template class HeatDiffusion<3>;
const bool diffusion_law_is_alocated_heat_diffusion [[maybe_unused]] =
instantiateDiffusionLaw<HeatDiffusion, HeatTransferModel>("heat_diffusion");
} // namespace akantu

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