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shape_functions.hh
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rAKA akantu
shape_functions.hh
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/**
* @file shape_functions.hh
*
* @author Guillaume Anciaux <guillaume.anciaux@epfl.ch>
* @author Nicolas Richart <nicolas.richart@epfl.ch>
*
* @date creation: Fri Jun 18 2010
* @date last modification: Thu Oct 22 2015
*
* @brief shape function class
*
* @section LICENSE
*
* Copyright (©) 2010-2012, 2014, 2015 EPFL (Ecole Polytechnique Fédérale de
* Lausanne) Laboratory (LSMS - Laboratoire de Simulation en Mécanique des
* Solides)
*
* 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_memory.hh"
#include "mesh.hh"
/* -------------------------------------------------------------------------- */
#ifndef __AKANTU_SHAPE_FUNCTIONS_HH__
#define __AKANTU_SHAPE_FUNCTIONS_HH__
namespace
akantu
{
/* -------------------------------------------------------------------------- */
class
ShapeFunctions
:
protected
Memory
{
/* ------------------------------------------------------------------------ */
/* Constructors/Destructors */
/* ------------------------------------------------------------------------ */
public
:
ShapeFunctions
(
const
Mesh
&
mesh
,
const
ID
&
id
=
"shape"
,
const
MemoryID
&
memory_id
=
0
)
:
Memory
(
id
,
memory_id
),
mesh
(
mesh
){};
virtual
~
ShapeFunctions
(){};
/* ------------------------------------------------------------------------ */
/* Methods */
/* ------------------------------------------------------------------------ */
public
:
/// function to print the contain of the class
virtual
void
printself
(
std
::
ostream
&
stream
,
int
indent
=
0
)
const
{
std
::
string
space
;
for
(
Int
i
=
0
;
i
<
indent
;
i
++
,
space
+=
AKANTU_INDENT
)
;
stream
<<
space
<<
"Shapes ["
<<
std
::
endl
;
integration_points
.
printself
(
stream
,
indent
+
1
);
stream
<<
space
<<
"]"
<<
std
::
endl
;
};
/// set the integration points for a given element
template
<
ElementType
type
>
void
setIntegrationPointsByType
(
const
Matrix
<
Real
>
&
integration_points
,
const
GhostType
&
ghost_type
);
/// Build pre-computed matrices for interpolation of field form integration
/// points at other given positions (interpolation_points)
void
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
<
UInt
>
*
element_filter
)
const
;
/// Interpolate field at given position from given values of this field at
/// integration points (field)
/// using matrices precomputed with
/// initElementalFieldInterplationFromIntegrationPoints
void
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
<
UInt
>
*
element_filter
)
const
;
protected
:
/// interpolate nodal values stored by element on the integration points
template
<
ElementType
type
>
void
interpolateElementalFieldOnIntegrationPoints
(
const
Array
<
Real
>
&
u_el
,
Array
<
Real
>
&
uq
,
const
GhostType
&
ghost_type
,
const
Array
<
Real
>
&
shapes
,
const
Array
<
UInt
>
&
filter_elements
=
empty_filter
)
const
;
/// gradient of nodal values stored by element on the control points
template
<
ElementType
type
>
void
gradientElementalFieldOnIntegrationPoints
(
const
Array
<
Real
>
&
u_el
,
Array
<
Real
>
&
out_nablauq
,
const
GhostType
&
ghost_type
,
const
Array
<
Real
>
&
shapes_derivatives
,
const
Array
<
UInt
>
&
filter_elements
)
const
;
protected
:
/// By element versions of non-templated eponym methods
template
<
ElementType
type
>
inline
void
interpolateElementalFieldFromIntegrationPoints
(
const
Array
<
Real
>
&
field
,
const
Array
<
Real
>
&
interpolation_points_coordinates_matrices
,
const
Array
<
Real
>
&
quad_points_coordinates_inv_matrices
,
ElementTypeMapArray
<
Real
>
&
result
,
const
GhostType
&
ghost_type
,
const
Array
<
UInt
>
&
element_filter
)
const
;
/// Interpolate field at given position from given values of this field at
/// integration points (field)
/// using matrices precomputed with
/// initElementalFieldInterplationFromIntegrationPoints
template
<
ElementType
type
>
inline
void
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
,
const
GhostType
&
ghost_type
,
const
Array
<
UInt
>
&
element_filter
)
const
;
/// build matrix for the interpolation of field form integration points
template
<
ElementType
type
>
inline
void
buildElementalFieldInterpolationMatrix
(
const
Matrix
<
Real
>
&
coordinates
,
Matrix
<
Real
>
&
coordMatrix
,
UInt
integration_order
=
ElementClassProperty
<
type
>::
polynomial_degree
)
const
;
/// build the so called interpolation matrix (first collumn is 1, then the
/// other collumns are the traansposed coordinates)
inline
void
buildInterpolationMatrix
(
const
Matrix
<
Real
>
&
coordinates
,
Matrix
<
Real
>
&
coordMatrix
,
UInt
integration_order
)
const
;
public
:
virtual
void
onElementsAdded
(
const
Array
<
Element
>
&
elements
)
=
0
;
virtual
void
onElementsRemoved
(
const
Array
<
Element
>
&
elements
,
const
ElementTypeMapArray
<
UInt
>
&
new_numbering
)
=
0
;
/* ------------------------------------------------------------------------ */
/* Accessors */
/* ------------------------------------------------------------------------ */
public
:
/// get the size of the shapes returned by the element class
static
inline
UInt
getShapeSize
(
const
ElementType
&
type
);
/// get the size of the shapes derivatives returned by the element class
static
inline
UInt
getShapeDerivativesSize
(
const
ElementType
&
type
);
inline
const
Matrix
<
Real
>
&
getIntegrationPoints
(
const
ElementType
&
type
,
const
GhostType
&
ghost_type
)
const
{
return
integration_points
(
type
,
ghost_type
);
}
/* ------------------------------------------------------------------------ */
/* Class Members */
/* ------------------------------------------------------------------------ */
protected
:
/// associated mesh
const
Mesh
&
mesh
;
/// shape functions for all elements
ElementTypeMap
<
Matrix
<
Real
>>
integration_points
;
};
/* -------------------------------------------------------------------------- */
/* inline functions */
/* -------------------------------------------------------------------------- */
/// standard output stream operator
inline
std
::
ostream
&
operator
<<
(
std
::
ostream
&
stream
,
const
ShapeFunctions
&
_this
)
{
_this
.
printself
(
stream
);
return
stream
;
}
}
// namespace akantu
#include "shape_functions_inline_impl.cc"
#endif
/* __AKANTU_SHAPE_FUNCTIONS_HH__ */
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