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kelvin_helper.hh
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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/>.
*
*/
/* -------------------------------------------------------------------------- */
#ifndef KELVIN_HELPER_HH
#define KELVIN_HELPER_HH
/* -------------------------------------------------------------------------- */
#include "grid.hh"
#include "grid_hermitian.hh"
#include "influence.hh"
#include "model_type.hh"
/* -------------------------------------------------------------------------- */
__BEGIN_TAMAAS__
namespace detail {
/// Trait for kelvin local types
template <typename T>
struct KelvinTrait;
template <UInt dim>
struct KelvinTrait<influence::Kelvin<dim, 0>> {
using source_t = VectorProxy<Complex, dim>;
using out_t = VectorProxy<Complex, dim>;
};
template <UInt dim>
struct KelvinTrait<influence::Kelvin<dim, 1>> {
using source_t = MatrixProxy<Complex, dim, dim>;
using out_t = VectorProxy<Complex, dim>;
};
template <UInt dim>
struct KelvinTrait<influence::Kelvin<dim, 2>> {
using source_t = MatrixProxy<Complex, dim, dim>;
using out_t = MatrixProxy<Complex, dim, dim>;
};
template <UInt dim>
struct KelvinTrait<influence::Boussinesq<dim, 0>> {
using source_t = VectorProxy<Complex, dim>;
using out_t = VectorProxy<Complex, dim>;
};
template <UInt dim>
struct KelvinTrait<influence::Boussinesq<dim, 1>> {
using source_t = VectorProxy<Complex, dim>;
using out_t = MatrixProxy<Complex, dim, dim>;
};
/// Helper to apply integral representation on output
template <model_type type, typename T>
struct KelvinHelper {
using kelvin_t = T;
using trait = model_type_traits<type>;
static constexpr UInt dim = trait::dimension;
static constexpr UInt bdim = trait::boundary_dimension;
KelvinHelper(const T& kelvin, Real cutoff) : kelvin(kelvin), cutoff(cutoff) {}
template <Int yj_xi, UInt shape_num>
inline void applyIntegral(GridHermitian<Real, bdim>& out,
GridHermitian<Real, bdim>& source, Real dij,
Real dl,
const Grid<Real, bdim>& wavevectors) const {
Loop::stridedLoop(
[&](typename KelvinTrait<T>::out_t&& out_local,
typename KelvinTrait<T>::source_t&& source_local,
VectorProxy<const Real, bdim>&& q) {
// Cutoff
if (-q.l2norm() * std::abs(dij) < std::log(cutoff))
return;
influence::KelvinIntegrator<1>::integrate<yj_xi, shape_num>(
out_local, source_local, kelvin, q, dij, dl);
},
out, source, wavevectors);
}
inline void applyFreeTerm(GridHermitian<Real, bdim>& out,
GridHermitian<Real, bdim>& source,
const Grid<Real, bdim>& wavevectors) const {}
const T& kelvin;
const Real cutoff;
};
template <>
inline void
KelvinHelper<model_type::volume_2d, influence::Kelvin<3, 2>>::applyFreeTerm(
GridHermitian<Real, bdim>& out, GridHermitian<Real, bdim>& source,
const Grid<Real, bdim>& wavevectors) const {
Loop::stridedLoop(
[&](KelvinTrait<kelvin_t>::out_t&& out_local,
KelvinTrait<kelvin_t>::source_t&& source_local,
VectorProxy<const Real, bdim>&& q) {
out_local += kelvin.applyDiscontinuityTerm(q, source_local);
},
out, source, wavevectors);
}
/* -------------------------------------------------------------------------- */
template <model_type type, typename T>
class LinearElement {
using trait = model_type_traits<type>;
static constexpr UInt bdim = trait::boundary_dimension;
public:
LinearElement(const thrust::pair<UInt, Real>& integration_node,
const T& kelvin,
std::vector<GridHermitian<Real, bdim>>& sources,
GridHermitian<Real, bdim>& out,
const Grid<Real, bdim>& wavevectors,
Real cutoff = 1e-2)
: integration_node(integration_node), sources(sources), out(out),
wavevectors(wavevectors), helper(kelvin, cutoff) {}
private:
template <UInt shape_num>
void integrateNode(UInt element, Real yj, Real el_size) {
static_assert(shape_num == 0 or shape_num == 1, "Shape number is invalid");
const Real dij = yj - integration_node.second;
const UInt node = element + shape_num;
if (node > integration_node.first)
helper.template applyIntegral<1, shape_num>(
out, sources[node], dij, el_size, wavevectors);
else if (node == integration_node.first) {
helper.template applyIntegral<0, shape_num>(
out, sources[node], dij, el_size, wavevectors);
if (shape_num == 0) // apply free term only once
helper.applyFreeTerm(out, sources[node], wavevectors);
}
else
helper.template applyIntegral<-1, shape_num>(
out, sources[node], dij, el_size, wavevectors);
}
public:
void integrateElement(UInt e, const thrust::pair<Real, Real>& positions) {
const Real dl = std::abs(positions.second - positions.first);
integrateNode<0>(e, positions.first, dl);
integrateNode<1>(e, positions.second, dl);
}
private:
thrust::pair<UInt, Real> integration_node;
std::vector<GridHermitian<Real, bdim>>& sources;
GridHermitian<Real, bdim>& out;
const Grid<Real, bdim>& wavevectors;
KelvinHelper<type, T> helper;
};
} // namespace detail
__END_TAMAAS__
#endif // KELVIN_HELPER_HH

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