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shape_functions.cc
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Wed, Sep 11, 04:18
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rAKA akantu
shape_functions.cc
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/**
* Copyright (©) 2017-2023 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 "shape_functions.hh"
/* -------------------------------------------------------------------------- */
namespace
akantu
{
/* -------------------------------------------------------------------------- */
ShapeFunctions
::
ShapeFunctions
(
const
Mesh
&
mesh
,
Int
spatial_dimension
,
const
ID
&
id
)
:
shapes
(
"shapes_generic"
,
id
),
shapes_derivatives
(
"shapes_derivatives_generic"
,
id
),
mesh
(
mesh
),
_spatial_dimension
(
spatial_dimension
)
{}
/* -------------------------------------------------------------------------- */
template
<
ElementType
type
>
inline
void
ShapeFunctions
::
initElementalFieldInterpolationFromIntegrationPoints
(
const
Array
<
Real
>
&
interpolation_points_coordinates
,
ElementTypeMapArray
<
Real
>
&
interpolation_points_coordinates_matrices
,
ElementTypeMapArray
<
Real
>
&
quad_points_coordinates_inv_matrices
,
const
Array
<
Real
>
&
quadrature_points_coordinates
,
GhostType
ghost_type
,
const
Array
<
Idx
>
&
element_filter
)
const
{
AKANTU_DEBUG_IN
();
auto
spatial_dimension
=
this
->
mesh
.
getSpatialDimension
();
auto
nb_element
=
this
->
mesh
.
getNbElement
(
type
,
ghost_type
);
decltype
(
nb_element
)
nb_element_filter
{};
if
(
element_filter
==
empty_filter
)
{
nb_element_filter
=
nb_element
;
}
else
{
nb_element_filter
=
element_filter
.
size
();
}
constexpr
auto
nb_quad_per_element
=
GaussIntegrationElement
<
type
>::
getNbQuadraturePoints
();
auto
nb_interpolation_points_per_elem
=
interpolation_points_coordinates
.
size
()
/
nb_element
;
AKANTU_DEBUG_ASSERT
(
interpolation_points_coordinates
.
size
()
%
nb_element
==
0
,
"Number of interpolation points should be a multiple of "
"total number of elements"
);
if
(
not
quad_points_coordinates_inv_matrices
.
exists
(
type
,
ghost_type
))
{
quad_points_coordinates_inv_matrices
.
alloc
(
nb_element_filter
,
nb_quad_per_element
*
nb_quad_per_element
,
type
,
ghost_type
);
}
else
{
quad_points_coordinates_inv_matrices
(
type
,
ghost_type
)
.
resize
(
nb_element_filter
);
}
if
(
!
interpolation_points_coordinates_matrices
.
exists
(
type
,
ghost_type
))
{
interpolation_points_coordinates_matrices
.
alloc
(
nb_element_filter
,
nb_interpolation_points_per_elem
*
nb_quad_per_element
,
type
,
ghost_type
);
}
else
{
interpolation_points_coordinates_matrices
(
type
,
ghost_type
)
.
resize
(
nb_element_filter
);
}
auto
&
quad_inv_mat
=
quad_points_coordinates_inv_matrices
(
type
,
ghost_type
);
auto
&
interp_points_mat
=
interpolation_points_coordinates_matrices
(
type
,
ghost_type
);
Matrix
<
Real
,
nb_quad_per_element
,
nb_quad_per_element
>
quad_coord_matrix
;
auto
points_coords_begin
=
make_view
(
interpolation_points_coordinates
,
spatial_dimension
,
nb_interpolation_points_per_elem
)
.
begin
();
/// loop over the elements of the current material and element type
for
(
auto
&&
data
:
zip
(
element_filter
,
make_view
<
nb_quad_per_element
,
nb_quad_per_element
>
(
quad_inv_mat
),
make_view
(
interp_points_mat
,
nb_interpolation_points_per_elem
,
nb_quad_per_element
),
make_view
(
quadrature_points_coordinates
,
spatial_dimension
,
nb_quad_per_element
)))
{
auto
element
=
std
::
get
<
0
>
(
data
);
/// matrix to store the matrix inversion result
auto
&
inv_quad_coord_matrix
=
std
::
get
<
1
>
(
data
);
/// matrix to store the interpolation points coordinates
/// compatible with these functions
auto
&
inv_points_coord_matrix
=
std
::
get
<
2
>
(
data
);
/// matrix containing the quadrature points coordinates
auto
&
quad_coords
=
std
::
get
<
3
>
(
data
);
/// matrix containing the interpolation points coordinates
auto
&&
points_coords
=
points_coords_begin
[
element
];
/// insert the quad coordinates in a matrix compatible with the
/// interpolation
buildElementalFieldInterpolationMatrix
<
type
>
(
quad_coords
,
quad_coord_matrix
);
/// invert the interpolation matrix
inv_quad_coord_matrix
=
quad_coord_matrix
.
inverse
();
/// insert the quad coordinates in a matrix compatible with the
/// interpolation
buildElementalFieldInterpolationMatrix
<
type
>
(
points_coords
,
inv_points_coord_matrix
);
}
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
void
ShapeFunctions
::
initElementalFieldInterpolationFromIntegrationPoints
(
const
ElementTypeMapArray
<
Real
>
&
interpolation_points_coordinates
,
ElementTypeMapArray
<
Real
>
&
interpolation_points_coordinates_matrices
,
ElementTypeMapArray
<
Real
>
&
quad_points_coordinates_inv_matrices
,
const
ElementTypeMapArray
<
Real
>
&
quadrature_points_coordinates
,
const
ElementTypeMapArray
<
Idx
>
*
element_filter
)
const
{
AKANTU_DEBUG_IN
();
auto
spatial_dimension
=
this
->
mesh
.
getSpatialDimension
();
for
(
auto
ghost_type
:
ghost_types
)
{
auto
types_iterable
=
mesh
.
elementTypes
(
spatial_dimension
,
ghost_type
);
if
(
element_filter
!=
nullptr
)
{
types_iterable
=
element_filter
->
elementTypes
(
spatial_dimension
,
ghost_type
);
}
for
(
auto
type
:
types_iterable
)
{
auto
nb_element
=
mesh
.
getNbElement
(
type
,
ghost_type
);
if
(
nb_element
==
0
)
{
continue
;
}
const
Array
<
Idx
>
*
elem_filter
=
&
(
empty_filter
);
if
(
element_filter
!=
nullptr
)
{
elem_filter
=
&
((
*
element_filter
)(
type
,
ghost_type
));
}
tuple_dispatch
<
ElementTypes_t
<
_ek_regular
>>
(
[
&
](
auto
&&
enum_type
)
{
constexpr
ElementType
type
=
aka
::
decay_v
<
decltype
(
enum_type
)
>
;
this
->
initElementalFieldInterpolationFromIntegrationPoints
<
type
>
(
interpolation_points_coordinates
(
type
,
ghost_type
),
interpolation_points_coordinates_matrices
,
quad_points_coordinates_inv_matrices
,
quadrature_points_coordinates
(
type
,
ghost_type
),
ghost_type
,
*
elem_filter
);
},
type
);
}
}
AKANTU_DEBUG_OUT
();
}
/* -------------------------------------------------------------------------- */
void
ShapeFunctions
::
interpolateElementalFieldFromIntegrationPoints
(
const
ElementTypeMapArray
<
Real
>
&
field
,
const
ElementTypeMapArray
<
Real
>
&
interpolation_points_coordinates_matrices
,
const
ElementTypeMapArray
<
Real
>
&
quad_points_coordinates_inv_matrices
,
ElementTypeMapArray
<
Real
>
&
result
,
GhostType
ghost_type
,
const
ElementTypeMapArray
<
Idx
>
*
element_filter
)
const
{
AKANTU_DEBUG_IN
();
auto
spatial_dimension
=
this
->
mesh
.
getSpatialDimension
();
auto
types_iterable
=
mesh
.
elementTypes
(
spatial_dimension
,
ghost_type
);
if
(
element_filter
!=
nullptr
)
{
types_iterable
=
element_filter
->
elementTypes
(
spatial_dimension
,
ghost_type
);
}
for
(
auto
type
:
types_iterable
)
{
auto
nb_element
=
mesh
.
getNbElement
(
type
,
ghost_type
);
if
(
nb_element
==
0
)
{
continue
;
}
const
Array
<
Idx
>
*
elem_filter
=
&
(
empty_filter
);
if
(
element_filter
!=
nullptr
)
{
elem_filter
=
&
((
*
element_filter
)(
type
,
ghost_type
));
}
tuple_dispatch
<
ElementTypes_t
<
_ek_regular
>>
(
[
&
](
auto
&&
enum_type
)
{
constexpr
ElementType
type
=
aka
::
decay_v
<
decltype
(
enum_type
)
>
;
this
->
interpolateElementalFieldFromIntegrationPoints
<
type
>
(
field
(
type
,
ghost_type
),
interpolation_points_coordinates_matrices
(
type
,
ghost_type
),
quad_points_coordinates_inv_matrices
(
type
,
ghost_type
),
result
,
ghost_type
,
*
elem_filter
);
},
type
);
}
AKANTU_DEBUG_OUT
();
}
}
// namespace akantu
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