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tamaas/src/model/westergaard.cpp
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westergaard.cpp
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/**
* @file
*
* @author Lucas Frérot <lucas.frerot@epfl.ch>
*
* @section LICENSE
*
* Copyright (©) 2017 EPFL (Ecole Polytechnique Fédérale de
* Lausanne) Laboratory (LSMS - Laboratoire de Simulation en Mécanique des
* Solides)
*
* Tamaas 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.
*
* Tamaas 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 Tamaas. If not, see <http://www.gnu.org/licenses/>.
*
*/
/* -------------------------------------------------------------------------- */
#include "westergaard.hh"
#include "fft_plan_manager.hh"
#include "influence.hh"
#include "loop.hh"
#include "model.hh"
#include "static_types.hh"
#include "types.hh"
/* -------------------------------------------------------------------------- */
__BEGIN_TAMAAS__
/* -------------------------------------------------------------------------- */
template <model_type type>
Westergaard<type>::Westergaard(Model* model) : BEEngine(model) {
// Copy sizes
std::array<UInt, trait::dimension> sizes;
std::copy(model->getDiscretization().begin(),
model->getDiscretization().end(), sizes.begin());
auto hermitian_sizes =
GridHermitian<Real, trait::dimension>::hermitianDimensions(sizes);
// Copy boundary sizes
auto sizes_it = sizes.begin();
std::array<UInt, trait::boundary_dimension> boundary_hermitian_sizes;
// Ignoring first dimension if model is volumetric
if (trait::dimension > trait::boundary_dimension)
++sizes_it;
std::copy(sizes_it, sizes.end(), boundary_hermitian_sizes.begin());
boundary_hermitian_sizes =
GridHermitian<Real, trait::boundary_dimension>::hermitianDimensions(
boundary_hermitian_sizes);
constexpr UInt nb_components = trait::components;
buffer.setNbComponents(nb_components);
buffer.resize(boundary_hermitian_sizes);
influence.setNbComponents(nb_components * nb_components);
influence.resize(hermitian_sizes);
}
/* -------------------------------------------------------------------------- */
template <model_type type>
void Westergaard<type>::initInfluence() {
TAMAAS_EXCEPTION("Not implemented");
}
/* -------------------------------------------------------------------------- */
#define INFLUENCE_BASIC_MACRO \
do { \
constexpr UInt bdim = trait::boundary_dimension; \
auto wavevectors = \
FFTransform<Real, bdim>::computeFrequencies<true>(influence.sizes()); \
Real E_star = model->getHertzModulus(); \
StaticVector<const Real, bdim> domain(model->getSystemSize()[0]); \
Loop::stridedLoop(influence::Basic<bdim>(E_star, domain), wavevectors, \
influence); \
influence(0) = 0; \
} while (0)
template <>
void Westergaard<model_type::basic_2d>::initInfluence() {
INFLUENCE_BASIC_MACRO;
}
template <>
void Westergaard<model_type::basic_1d>::initInfluence() {
INFLUENCE_BASIC_MACRO;
}
#undef INFLUENCE_BASIC_MACRO
#define INFLUENCE_SURFACE_MACRO \
do { \
constexpr UInt bdim = trait::boundary_dimension; \
auto wavevectors = \
FFTransform<Real, bdim>::computeFrequencies<true>(influence.sizes()); \
Real E = model->getYoungModulus(); \
Real nu = model->getPoissonRatio(); \
StaticVector<const Real, bdim> domain(model->getSystemSize()[0]); \
Loop::stridedLoop(influence::Surface<bdim>(E, nu, domain), wavevectors, \
influence); \
} while (0)
template <>
void Westergaard<model_type::surface_1d>::initInfluence() {
INFLUENCE_SURFACE_MACRO;
}
template <>
void Westergaard<model_type::surface_2d>::initInfluence() {
INFLUENCE_SURFACE_MACRO;
}
#undef INFLUENCE_SURFACE_MACRO
/* ------------------------------------------------------------------------ */
#define NEUMANN_BASIC(type) \
template <> \
void Westergaard<type>::solveNeumann(GridBase<Real>& in, \
GridBase<Real>& out) const { \
auto apply = [](decltype(buffer)& buffer, \
const decltype(influence)& influence) { \
buffer *= influence; \
buffer(0) = 0; \
}; \
\
fourierApply(apply, in, out); \
}
#define DIRICHLET_BASIC(type) \
template <> \
void Westergaard<type>::solveDirichlet(GridBase<Real>& in, \
GridBase<Real>& out) const { \
auto apply = [](decltype(buffer)& buffer, \
const decltype(influence)& influence) { \
buffer /= influence; \
buffer(0) = 0; \
}; \
\
fourierApply(apply, in, out); \
}
NEUMANN_BASIC(model_type::basic_1d);
NEUMANN_BASIC(model_type::basic_2d);
DIRICHLET_BASIC(model_type::basic_1d);
DIRICHLET_BASIC(model_type::basic_2d);
#undef NEUMANN_BASIC
#undef DIRICHLET_BASIC
/* -------------------------------------------------------------------------- */
namespace detail {
/// Class needed for cuda
template <UInt d>
struct SurfaceApply {
void operator()(GridHermitian<Real, d>& buffer_,
const GridHermitian<Real, d>& influence) {
Loop::stridedLoop(
[] CUDA_LAMBDA(StaticVector<Complex, d + 1> && buf,
StaticMatrix<const Complex, d + 1, d + 1> && inf) {
Complex copy_[d + 1];
StaticVector<Complex, d + 1> copy(copy_[0]);
copy = buf;
buf.mul(inf, copy);
},
buffer_, influence);
StaticVector<Complex, d + 1> buff_0(buffer_(0));
buff_0 = 0;
}
};
} // namespace detail
#define NEUMANN_SURFACE(type) \
template <> \
void Westergaard<type>::solveNeumann(GridBase<Real>& in, \
GridBase<Real>& out) const { \
fourierApply(detail::SurfaceApply<trait::boundary_dimension>(), in, out); \
}
/// \TODO Find a way to make it work with cuda
NEUMANN_SURFACE(model_type::surface_1d);
NEUMANN_SURFACE(model_type::surface_2d);
#undef NEUMANN_SURFACE
/* -------------------------------------------------------------------------- */
template <model_type type>
void Westergaard<type>::solveNeumann(GridBase<Real>& /*neumann*/,
GridBase<Real>& /*dirichlet*/) const {
TAMAAS_EXCEPTION("Not yet implemented");
}
/* -------------------------------------------------------------------------- */
template <model_type type>
void Westergaard<type>::solveDirichlet(GridBase<Real>& /*neumann*/,
GridBase<Real>& /*dirichlet*/) const {
TAMAAS_EXCEPTION("Not yet implemented");
}
/* -------------------------------------------------------------------------- */
template <model_type type>
Real Westergaard<type>::getNeumannNorm() {
constexpr UInt comp = model_type_traits<type>::components;
Real _norm = 0.0;
_norm = Loop::stridedReduce<op::plus>(
[] CUDA_LAMBDA(StaticVector<Complex, comp * comp>&& m) {
Real n = thrust::norm(m.l2squared());
return std::isnan(n) ? 0 : n;
},
influence);
return std::sqrt(_norm);
}
/* -------------------------------------------------------------------------- */
/* Template instanciation */
/* -------------------------------------------------------------------------- */
template class Westergaard<model_type::basic_1d>;
template class Westergaard<model_type::basic_2d>;
template class Westergaard<model_type::surface_1d>;
template class Westergaard<model_type::surface_2d>;
template class Westergaard<model_type::volume_1d>;
template class Westergaard<model_type::volume_2d>;
/* -------------------------------------------------------------------------- */
__END_TAMAAS__
/* -------------------------------------------------------------------------- */
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