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fe_engine_template_tmpl.hh
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/**
* Copyright (©) 2011-2023 EPFL (Ecole Polytechnique Fédérale de Lausanne)
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* This file is part of Akantu
*
* 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 "aka_common.hh"
#include "dof_manager.hh"
#include "fe_engine_template.hh"
/* -------------------------------------------------------------------------- */
namespace akantu {
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::FEEngineTemplate(
Mesh & mesh, Int spatial_dimension, const ID & id, bool do_not_precompute)
: FEEngine(mesh, spatial_dimension, id),
integrator(mesh, spatial_dimension, id),
shape_functions(mesh, spatial_dimension, id) {
if (not do_not_precompute) {
initShapeFunctions(_not_ghost);
initShapeFunctions(_ghost);
}
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::~FEEngineTemplate() =
default;
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
gradientOnIntegrationPoints(const Array<Real> & u, Array<Real> & nablauq,
Int nb_degree_of_freedom, ElementType type,
GhostType ghost_type,
const Array<Int> & filter_elements) const {
AKANTU_DEBUG_IN();
auto nb_element = mesh.getNbElement(type, ghost_type);
if (filter_elements != empty_filter) {
nb_element = filter_elements.size();
}
auto nb_points =
shape_functions.getIntegrationPoints(type, ghost_type).cols();
#ifndef AKANTU_NDEBUG
auto element_dimension = mesh.getSpatialDimension(type);
AKANTU_DEBUG_ASSERT(u.size() == mesh.getNbNodes(),
"The vector u(" << u.getID()
<< ") has not the good size.");
AKANTU_DEBUG_ASSERT(u.getNbComponent() == nb_degree_of_freedom,
"The vector u("
<< u.getID()
<< ") has not the good number of component.");
AKANTU_DEBUG_ASSERT(
nablauq.getNbComponent() == nb_degree_of_freedom * element_dimension,
"The vector nablauq(" << nablauq.getID()
<< ") has not the good number of component.");
#endif
nablauq.resize(nb_element * nb_points);
auto call = [&](auto && integral_type) {
constexpr ElementType type = std::decay_t<decltype(integral_type)>::value;
if (element_dimension == ElementClass<type>::getSpatialDimension())
shape_functions.template gradientOnIntegrationPoints<type>(
u, nablauq, nb_degree_of_freedom, ghost_type, filter_elements);
};
tuple_dispatch<ElementTypes_t<kind>>(call, type);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::initShapeFunctions(
GhostType ghost_type) {
initShapeFunctions(mesh.getNodes(), ghost_type);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::initShapeFunctions(
const Array<Real> & nodes, GhostType ghost_type) {
AKANTU_DEBUG_IN();
for (const auto & type :
mesh.elementTypes(element_dimension, ghost_type, kind)) {
integrator.initIntegrator(nodes, type, ghost_type);
const auto & control_points = getIntegrationPoints(type, ghost_type);
shape_functions.initShapeFunctions(nodes, control_points, type, ghost_type);
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::integrate(
const Array<Real> & f, Array<Real> & intf, Int nb_degree_of_freedom,
ElementType type, GhostType ghost_type,
const Array<Idx> & filter_elements) const {
auto nb_element = mesh.getNbElement(type, ghost_type);
if (filter_elements != empty_filter) {
nb_element = filter_elements.size();
}
#ifndef AKANTU_NDEBUG
auto nb_quadrature_points = getNbIntegrationPoints(type);
AKANTU_DEBUG_ASSERT(f.size() == nb_element * nb_quadrature_points,
"The vector f(" << f.getID() << " size " << f.size()
<< ") has not the good size ("
<< nb_element << ").");
AKANTU_DEBUG_ASSERT(f.getNbComponent() == nb_degree_of_freedom,
"The vector f("
<< f.getID()
<< ") has not the good number of component.");
AKANTU_DEBUG_ASSERT(intf.getNbComponent() == nb_degree_of_freedom,
"The vector intf("
<< intf.getID()
<< ") has not the good number of component.");
#endif
intf.resize(nb_element);
auto && call = [&](auto && enum_type) {
constexpr ElementType type = std ::decay_t<decltype(enum_type)>::value;
integrator.template integrate<ElementType(type)>(
f, intf, nb_degree_of_freedom, ghost_type, filter_elements);
};
tuple_dispatch<ElementTypes_t<kind>>(call, type);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
Real FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::integrate(
const Array<Real> & f, ElementType type, GhostType ghost_type,
const Array<Int> & filter_elements) const {
AKANTU_DEBUG_IN();
#ifndef AKANTU_NDEBUG
auto nb_element = mesh.getNbElement(type, ghost_type);
if (filter_elements != empty_filter) {
nb_element = filter_elements.size();
}
auto nb_quadrature_points = getNbIntegrationPoints(type, ghost_type);
AKANTU_DEBUG_ASSERT(
f.size() == nb_element * nb_quadrature_points,
"The vector f(" << f.getID() << ") has not the good size. (" << f.size()
<< "!=" << nb_quadrature_points * nb_element << ")");
AKANTU_DEBUG_ASSERT(f.getNbComponent() == 1,
"The vector f("
<< f.getID()
<< ") has not the good number of component.");
#endif
auto && call = [&](auto && enum_type) {
constexpr ElementType type = std ::decay_t<decltype(enum_type)>::value;
return integrator.template integrate<type>(f, ghost_type, filter_elements);
};
return tuple_dispatch<ElementTypes_t<kind>>(call, type);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
Real FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::integrate(
const Ref<const VectorXr> f, ElementType type, Int index,
GhostType ghost_type) const {
auto && call = [&](auto && enum_type) {
constexpr ElementType type = std ::decay_t<decltype(enum_type)>::value;
return integrator.template integrate<type>(f, index, ghost_type);
};
return tuple_dispatch<ElementTypes_t<kind>>(call, type);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
integrateOnIntegrationPoints(const Array<Real> & f, Array<Real> & intf,
Int nb_degree_of_freedom, ElementType type,
GhostType ghost_type,
const Array<Int> & filter_elements) const {
auto nb_element = mesh.getNbElement(type, ghost_type);
if (filter_elements != empty_filter)
nb_element = filter_elements.size();
auto nb_quadrature_points = getNbIntegrationPoints(type);
AKANTU_DEBUG_ASSERT(f.size() == nb_element * nb_quadrature_points,
"The vector f(" << f.getID() << " size " << f.size()
<< ") has not the good size ("
<< nb_element << ").");
AKANTU_DEBUG_ASSERT(f.getNbComponent() == nb_degree_of_freedom,
"The vector f("
<< f.getID()
<< ") has not the good number of component.");
AKANTU_DEBUG_ASSERT(intf.getNbComponent() == nb_degree_of_freedom,
"The vector intf("
<< intf.getID()
<< ") has not the good number of component.");
intf.resize(nb_element * nb_quadrature_points);
auto && call = [&](auto && enum_type) {
constexpr ElementType type = std ::decay_t<decltype(enum_type)>::value;
integrator.template integrateOnIntegrationPoints<ElementType(type)>(
f, intf, nb_degree_of_freedom, ghost_type, filter_elements);
};
tuple_dispatch<ElementTypes_t<kind>>(call, type);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
interpolateOnIntegrationPoints(const Array<Real> & u, Array<Real> & uq,
Int nb_degree_of_freedom, ElementType type,
GhostType ghost_type,
const Array<Int> & filter_elements) const {
AKANTU_DEBUG_IN();
auto nb_points =
shape_functions.getIntegrationPoints(type, ghost_type).cols();
auto nb_element = mesh.getNbElement(type, ghost_type);
if (filter_elements != empty_filter) {
nb_element = filter_elements.size();
}
AKANTU_DEBUG_ASSERT(u.size() == mesh.getNbNodes(),
"The vector u(" << u.getID()
<< ") has not the good size.");
AKANTU_DEBUG_ASSERT(u.getNbComponent() == nb_degree_of_freedom,
"The vector u("
<< u.getID()
<< ") has not the good number of component.");
AKANTU_DEBUG_ASSERT(uq.getNbComponent() == nb_degree_of_freedom,
"The vector uq("
<< uq.getID()
<< ") has not the good number of component.");
uq.resize(nb_element * nb_points);
auto && call = [&](auto && enum_type) {
constexpr ElementType type = std ::decay_t<decltype(enum_type)>::value;
shape_functions.template interpolateOnIntegrationPoints<type>(
u, uq, nb_degree_of_freedom, ghost_type, filter_elements);
};
tuple_dispatch<ElementTypes_t<kind>>(call, type);
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
interpolateOnIntegrationPoints(
const Array<Real> & u, ElementTypeMapArray<Real> & uq,
const ElementTypeMapArray<Idx> * filter_elements) const {
AKANTU_DEBUG_IN();
const Array<Idx> * filter = nullptr;
for (auto ghost_type : ghost_types) {
auto && types = uq.elementTypes(_all_dimensions, ghost_type, kind);
for (const auto & type : types) {
auto nb_quad_per_element = getNbIntegrationPoints(type, ghost_type);
Int nb_element = 0;
if (filter_elements != nullptr) {
filter = &((*filter_elements)(type, ghost_type));
nb_element = filter->size();
} else {
filter = &empty_filter;
nb_element = mesh.getNbElement(type, ghost_type);
}
auto nb_tot_quad = nb_quad_per_element * nb_element;
Array<Real> & quad = uq(type, ghost_type);
quad.resize(nb_tot_quad);
interpolateOnIntegrationPoints(u, quad, quad.getNbComponent(), type,
ghost_type, *filter);
}
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::computeBtD(
const Array<Real> & Ds, Array<Real> & BtDs, ElementType type,
GhostType ghost_type, const Array<Idx> & filter_elements) const {
auto && call = [&](auto && enum_type) {
constexpr ElementType type = std ::decay_t<decltype(enum_type)>::value;
shape_functions.template computeBtD<type>(Ds, BtDs, ghost_type,
filter_elements);
};
tuple_dispatch<ElementTypes_t<kind>>(call, type);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::computeBtDB(
const Array<Real> & Ds, Array<Real> & BtDBs, Int order_d, ElementType type,
GhostType ghost_type, const Array<Idx> & filter_elements) const {
auto && call = [&](auto && enum_type) {
constexpr ElementType type = std ::decay_t<decltype(enum_type)>::value;
shape_functions.template computeBtDB<type>(Ds, BtDBs, order_d, ghost_type,
filter_elements);
};
tuple_dispatch<ElementTypes_t<kind>>(call, type);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::computeNtbN(
const Array<Real> & bs, Array<Real> & NtbNs, ElementType type,
GhostType ghost_type, const Array<Idx> & filter_elements) const {
auto && call = [&](auto && enum_type) {
constexpr ElementType type = std ::decay_t<decltype(enum_type)>::value;
shape_functions.template computeNtbN<type>(bs, NtbNs, ghost_type,
filter_elements);
};
tuple_dispatch<ElementTypes_t<kind>>(call, type);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::computeNtb(
const Array<Real> & bs, Array<Real> & Ntbs, ElementType type,
GhostType ghost_type, const Array<Idx> & filter_elements) const {
auto && call = [&](auto && enum_type) {
constexpr ElementType type = std ::decay_t<decltype(enum_type)>::value;
shape_functions.template computeNtb<type>(bs, Ntbs, ghost_type,
filter_elements);
};
tuple_dispatch<ElementTypes_t<kind>>(call, type);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
computeIntegrationPointsCoordinates(
ElementTypeMapArray<Real> & quadrature_points_coordinates,
const ElementTypeMapArray<Idx> * filter_elements) const {
const Array<Real> & nodes_coordinates = mesh.getNodes();
interpolateOnIntegrationPoints(
nodes_coordinates, quadrature_points_coordinates, filter_elements);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
computeIntegrationPointsCoordinates(
Array<Real> & quadrature_points_coordinates, ElementType type,
GhostType ghost_type, const Array<Idx> & filter_elements) const {
const Array<Real> & nodes_coordinates = mesh.getNodes();
auto spatial_dimension = mesh.getSpatialDimension();
interpolateOnIntegrationPoints(
nodes_coordinates, quadrature_points_coordinates, spatial_dimension, type,
ghost_type, filter_elements);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
initElementalFieldInterpolationFromIntegrationPoints(
const ElementTypeMapArray<Real> & interpolation_points_coordinates,
ElementTypeMapArray<Real> & interpolation_points_coordinates_matrices,
ElementTypeMapArray<Real> & quad_points_coordinates_inv_matrices,
const ElementTypeMapArray<Idx> * element_filter) const {
AKANTU_DEBUG_IN();
auto spatial_dimension = this->mesh.getSpatialDimension();
ElementTypeMapArray<Real> quadrature_points_coordinates(
"quadrature_points_coordinates_for_interpolation", getID());
quadrature_points_coordinates.initialize(*this,
_nb_component = spatial_dimension);
computeIntegrationPointsCoordinates(quadrature_points_coordinates,
element_filter);
shape_functions.initElementalFieldInterpolationFromIntegrationPoints(
interpolation_points_coordinates,
interpolation_points_coordinates_matrices,
quad_points_coordinates_inv_matrices, quadrature_points_coordinates,
element_filter);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
interpolateElementalFieldFromIntegrationPoints(
const ElementTypeMapArray<Real> & field,
const ElementTypeMapArray<Real> & interpolation_points_coordinates,
ElementTypeMapArray<Real> & result, const GhostType ghost_type,
const ElementTypeMapArray<Idx> * element_filter) const {
ElementTypeMapArray<Real> interpolation_points_coordinates_matrices(
"interpolation_points_coordinates_matrices", id);
ElementTypeMapArray<Real> quad_points_coordinates_inv_matrices(
"quad_points_coordinates_inv_matrices", id);
initElementalFieldInterpolationFromIntegrationPoints(
interpolation_points_coordinates,
interpolation_points_coordinates_matrices,
quad_points_coordinates_inv_matrices, element_filter);
interpolateElementalFieldFromIntegrationPoints(
field, interpolation_points_coordinates_matrices,
quad_points_coordinates_inv_matrices, result, ghost_type, element_filter);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
interpolateElementalFieldFromIntegrationPoints(
const ElementTypeMapArray<Real> & field,
const ElementTypeMapArray<Real> &
interpolation_points_coordinates_matrices,
const ElementTypeMapArray<Real> & quad_points_coordinates_inv_matrices,
ElementTypeMapArray<Real> & result, const GhostType ghost_type,
const ElementTypeMapArray<Idx> * element_filter) const {
shape_functions.interpolateElementalFieldFromIntegrationPoints(
field, interpolation_points_coordinates_matrices,
quad_points_coordinates_inv_matrices, result, ghost_type, element_filter);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
template <ElementKind kind_, typename D1, typename D2, typename D3,
std::enable_if_t<aka::are_vectors<D1, D3>::value and
kind_ == _ek_regular> *>
inline void
FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::interpolateImpl(
const Eigen::MatrixBase<D1> & real_coords,
const Eigen::MatrixBase<D2> & nodal_values,
Eigen::MatrixBase<D3> & interpolated, const Element & element) const {
/// add sfinea to call only on _ek_regular
auto && call = [&](auto && enum_type) {
constexpr ElementType type = std::decay_t<decltype(enum_type)>::value;
shape_functions.template interpolate<type>(real_coords, element.element,
nodal_values, interpolated,
element.ghost_type);
};
tuple_dispatch<ElementTypes_t<kind>>(call, element.type);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::interpolate(
const Ref<const VectorXr> real_coords,
const Ref<const MatrixXr> nodal_values, Ref<VectorXr> interpolated,
const Element & element) const {
interpolateImpl(real_coords, nodal_values, interpolated, element);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
computeNormalsOnIntegrationPoints(GhostType ghost_type) {
computeNormalsOnIntegrationPoints(mesh.getNodes(), ghost_type);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
computeNormalsOnIntegrationPoints(const Array<Real> & field,
GhostType ghost_type) {
AKANTU_DEBUG_IN();
// Real * coord = mesh.getNodes().data();
auto spatial_dimension = mesh.getSpatialDimension();
// allocate the normal arrays
normals_on_integration_points.initialize(
*this, _nb_component = spatial_dimension,
_spatial_dimension = element_dimension, _ghost_type = ghost_type,
_element_kind = kind);
// loop over the type to build the normals
for (const auto & type :
mesh.elementTypes(element_dimension, ghost_type, kind)) {
auto & normals_on_quad = normals_on_integration_points(type, ghost_type);
computeNormalsOnIntegrationPoints(field, normals_on_quad, type, ghost_type);
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
template <ElementType type, ElementKind kind_,
std::enable_if_t<kind_ == _ek_regular and type != _point_1> *>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
computeNormalsOnIntegrationPoints(const Array<Real> & field,
Array<Real> & normal,
GhostType ghost_type) const {
AKANTU_DEBUG_IN();
auto spatial_dimension = mesh.getSpatialDimension();
constexpr auto nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
auto nb_points = getNbIntegrationPoints(type, ghost_type);
auto nb_element = mesh.getConnectivity(type, ghost_type).size();
normal.resize(nb_element * nb_points);
Array<Real> f_el(0, spatial_dimension * nb_nodes_per_element);
FEEngine::extractNodalToElementField(mesh, field, f_el, type, ghost_type);
const auto & quads =
integrator.template getIntegrationPoints<type>(ghost_type);
for (auto && data : zip(make_view(normal, spatial_dimension, nb_points),
make_view<Eigen::Dynamic, nb_nodes_per_element>(
f_el, spatial_dimension, nb_nodes_per_element))) {
ElementClass<type>::computeNormalsOnNaturalCoordinates(
quads, std::get<1>(data), std::get<0>(data));
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
template <ElementType type, ElementKind kind_,
std::enable_if_t<kind_ == _ek_regular and type == _point_1> *>
inline void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
computeNormalsOnIntegrationPoints(const Array<Real> & /*field*/,
Array<Real> & normal,
GhostType ghost_type) const {
AKANTU_DEBUG_IN();
AKANTU_DEBUG_ASSERT(mesh.getSpatialDimension() == 1,
"Mesh dimension must be 1 to compute normals on points!");
auto spatial_dimension = mesh.getSpatialDimension();
// Int nb_nodes_per_element = Mesh::getNbNodesPerElement(type);
auto nb_points = getNbIntegrationPoints(type, ghost_type);
const auto & connectivity = mesh.getConnectivity(type, ghost_type);
auto nb_element = connectivity.size();
normal.resize(nb_element * nb_points);
auto normals_on_quad =
make_view(normal, spatial_dimension, nb_points).begin();
const auto & segments = mesh.getElementToSubelement(type, ghost_type);
const auto & coords = mesh.getNodes();
const Mesh * mesh_segment;
if (mesh.isMeshFacets()) {
mesh_segment = &(mesh.getMeshParent());
} else {
mesh_segment = &mesh;
}
for (Idx elem = 0; elem < nb_element; ++elem) {
auto nb_segment = segments(elem).size();
AKANTU_DEBUG_ASSERT(
nb_segment > 0,
"Impossible to compute a normal on a point connected to 0 segments");
Real normal_value = 1;
if (nb_segment == 1) {
auto point = connectivity(elem);
const auto segment = segments(elem)[0];
const auto & segment_connectivity =
mesh_segment->getConnectivity(segment.type, segment.ghost_type);
Vector<Idx> segment_points = segment_connectivity.begin(
Mesh::getNbNodesPerElement(segment.type))[segment.element];
Real difference;
if (segment_points(0) == point) {
difference = coords(elem) - coords(segment_points(1));
} else {
difference = coords(elem) - coords(segment_points(0));
}
normal_value = difference / std::abs(difference);
}
for (Idx n(0); n < nb_points; ++n) {
(*normals_on_quad)(0, n) = normal_value;
}
++normals_on_quad;
}
AKANTU_DEBUG_OUT();
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
computeNormalsOnIntegrationPoints(const Array<Real> & field,
Array<Real> & normal, ElementType type,
GhostType ghost_type) const {
auto && call = [&](auto && enum_type) {
constexpr ElementType type = std ::decay_t<decltype(enum_type)>::value;
this->computeNormalsOnIntegrationPoints<type>(field, normal, ghost_type);
};
tuple_dispatch<ElementTypes_t<kind>>(call, type);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::inverseMap(
const Ref<const VectorXr> real_coords, Int element, ElementType type,
Ref<VectorXr> natural_coords, GhostType ghost_type) const {
/// need sfinea to avoid structural
auto && call = [&](auto && enum_type) {
constexpr ElementType type = std ::decay_t<decltype(enum_type)>::value;
shape_functions.template inverseMap<type>(real_coords, element,
natural_coords, ghost_type);
};
tuple_dispatch<ElementTypes_t<kind>>(call, type);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline bool FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::contains(
const Vector<Real> & real_coords, Int element, ElementType type,
GhostType ghost_type) const {
auto && call = [&](auto && enum_type) {
constexpr ElementType type = std ::decay_t<decltype(enum_type)>::value;
return shape_functions.template contains<type>(real_coords, element,
ghost_type);
};
return tuple_dispatch<ElementTypes_t<kind>>(call, type);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
template <ElementKind kind_, typename D1, typename D2,
std::enable_if_t<aka::are_vectors<D1, D2>::value and
kind_ != _ek_cohesive> *>
inline void
FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::computeShapesImpl(
const Eigen::MatrixBase<D1> & real_coords, Idx element, ElementType type,
Eigen::MatrixBase<D2> & shapes, GhostType ghost_type) const {
auto && call = [&](auto && enum_type) {
constexpr ElementType type = std ::decay_t<decltype(enum_type)>::value;
this->shape_functions.template computeShapes<type>(real_coords, element,
shapes, ghost_type);
};
tuple_dispatch<ElementTypes_t<kind>>(call, type);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
template <ElementKind kind_, typename D1, typename D2,
std::enable_if_t<aka::is_vector_v<D1> and kind_ != _ek_cohesive> *>
inline void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::
computeShapeDerivativesImpl(const Eigen::MatrixBase<D1> & real_coords,
Int element, ElementType type,
Eigen::MatrixBase<D2> & shape_derivatives,
GhostType ghost_type) const {
MatrixProxy<const Real> coords_mat(real_coords.derived().data(),
shape_derivatives.rows(), 1);
Tensor3Proxy<Real> shapesd_tensor(shape_derivatives.derived().data(),
shape_derivatives.rows(),
shape_derivatives.cols(), 1);
auto && call = [&](auto && enum_type) {
constexpr ElementType type = std ::decay_t<decltype(enum_type)>::value;
shape_functions.template computeShapeDerivatives<type>(
coords_mat, element, shapesd_tensor, ghost_type);
};
tuple_dispatch<ElementTypes_t<kind>>(call, type);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline Int
FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::getNbIntegrationPoints(
ElementType type, GhostType ghost_type) const {
return tuple_dispatch<ElementTypes_t<kind>>(
[&](auto && enum_type) {
constexpr ElementType type = std ::decay_t<decltype(enum_type)>::value;
return integrator.template getNbIntegrationPoints<type>(ghost_type);
},
type);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline const Array<Real> &
FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::getShapes(
ElementType type, GhostType ghost_type, Int /*id*/) const {
return shape_functions.getShapes(type, ghost_type);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline const Array<Real> &
FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::getShapesDerivatives(
ElementType type, GhostType ghost_type, Int /*id*/) const {
return shape_functions.getShapesDerivatives(type, ghost_type);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
inline const Matrix<Real> &
FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::getIntegrationPoints(
ElementType type, GhostType ghost_type) const {
return tuple_dispatch<ElementTypes_t<kind>>(
[&](auto && enum_type) -> const Matrix<Real> & {
constexpr ElementType type = std ::decay_t<decltype(enum_type)>::value;
return (integrator.template getIntegrationPoints<type>(ghost_type));
},
type);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::printself(
std::ostream & stream, int indent) const {
std::string space(indent, AKANTU_INDENT);
stream << space << "FEEngineTemplate [" << std::endl;
stream << space << " + parent [" << std::endl;
FEEngine::printself(stream, indent + 3);
stream << space << " ]" << std::endl;
stream << space << " + shape functions [" << std::endl;
shape_functions.printself(stream, indent + 3);
stream << space << " ]" << std::endl;
stream << space << " + integrator [" << std::endl;
integrator.printself(stream, indent + 3);
stream << space << " ]" << std::endl;
stream << space << "]" << std::endl;
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::onElementsAdded(
const Array<Element> & new_elements, const NewElementsEvent & /*unused*/) {
integrator.onElementsAdded(new_elements);
const auto & points = integrator.getIntegrationPoints();
// for each distinct type add missing integration points to shape_functions
for (auto ghost_type : ghost_types) {
for (const auto & type : points.elementTypes(_ghost_type = ghost_type)) {
tuple_dispatch<ElementTypes_t<kind>>(
[&](auto && enum_type) {
constexpr ElementType type =
std ::decay_t<decltype(enum_type)>::value;
shape_functions.template setIntegrationPointsByType<type>(
points(type, ghost_type), ghost_type);
},
type);
}
}
shape_functions.onElementsAdded(new_elements);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::onElementsRemoved(
const Array<Element> & removed_elements,
const ElementTypeMapArray<Idx> & new_numbering,
const RemovedElementsEvent & /*event*/) {
integrator.onElementsRemoved(removed_elements, new_numbering);
shape_functions.onElementsRemoved(removed_elements, new_numbering);
}
/* -------------------------------------------------------------------------- */
template <template <ElementKind, class> class I, template <ElementKind> class S,
ElementKind kind, class IntegrationOrderFunctor>
void FEEngineTemplate<I, S, kind, IntegrationOrderFunctor>::onElementsChanged(
const Array<Element> & /*unused*/, const Array<Element> & /*unused*/,
const ElementTypeMapArray<Idx> & /*unused*/,
const ChangedElementsEvent & /*unused*/) {}
} // namespace akantu
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