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test_integrate.cc
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Wed, Sep 4, 07:19
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Fri, Sep 6, 07:19 (2 d)
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rAKA akantu
test_integrate.cc
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/**
* @file test_integrate.cc
*
* @author Aurelia Cuba Ramos <aurelia.cubaramos@epfl.ch>
*
* @date creation: Fri Oct 30 2015
* @date last modification: Fri Oct 30 2015
*
* @brief test the integration of IGFEM elements
*
*
* Copyright (©) 2010-2012, 2014 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 "fe_engine.hh"
#include "integrator_gauss_igfem.hh"
#include "shape_igfem.hh"
///#include "dumper_paraview.hh"
/* -------------------------------------------------------------------------- */
#include <cstdlib>
#include <fstream>
#include <iostream>
/* -------------------------------------------------------------------------- */
using
namespace
akantu
;
bool
integrate
(
const
ElementType
type
);
void
generateIGFEMMesh
(
const
ElementType
type
,
Mesh
&
mesh
,
const
std
::
string
&
filename
);
int
main
(
int
argc
,
char
*
argv
[])
{
akantu
::
initialize
(
argc
,
argv
);
debug
::
setDebugLevel
(
dblTest
);
bool
test_passed
=
false
;
/// integrate test of _igfem_triangle_4
AKANTU_DEBUG_INFO
(
"integrating _igfem_triangle_4..."
);
test_passed
=
integrate
(
_igfem_triangle_4
);
if
(
!
test_passed
)
{
finalize
();
return
EXIT_FAILURE
;
}
/// integrate test of _igfem_triangle_5
AKANTU_DEBUG_INFO
(
"integrating _igfem_triangle_5..."
);
test_passed
=
integrate
(
_igfem_triangle_5
);
if
(
!
test_passed
)
{
finalize
();
return
EXIT_FAILURE
;
}
finalize
();
return
EXIT_SUCCESS
;
}
/* -------------------------------------------------------------------------- */
bool
integrate
(
const
ElementType
type
)
{
bool
correct_result
=
true
;
UInt
dim
=
2
;
std
::
stringstream
mesh_info
;
mesh_info
<<
"mesh_info"
<<
type
<<
".txt"
;
Mesh
my_mesh
(
dim
);
generateIGFEMMesh
(
type
,
my_mesh
,
mesh_info
.
str
());
// DumperParaview dumper_igfem("mesh_igfem");
// dumper_igfem.registerMesh(my_mesh, dim, _not_ghost, _ek_igfem);
// dumper_igfem.dump();
Real
eps
=
3e-13
;
std
::
cout
<<
"Epsilon : "
<<
eps
<<
std
::
endl
;
FEEngine
*
fem
=
new
FEEngineTemplate
<
IntegratorGauss
,
ShapeLagrange
,
_ek_igfem
>
(
my_mesh
,
dim
,
"my_fem"
);
fem
->
initShapeFunctions
();
UInt
nb_element
=
my_mesh
.
getNbElement
(
type
);
UInt
nb_quadrature_points
=
fem
->
getNbIntegrationPoints
(
type
)
*
nb_element
;
/// impose a constant field on the quadrature points with x = 1 and y = 2
Array
<
Real
>
val_on_quad
(
nb_quadrature_points
,
dim
,
"val_on_quad"
);
Array
<
Real
>::
vector_iterator
val_it
=
val_on_quad
.
begin
(
dim
);
Vector
<
Real
>
values
(
dim
);
values
(
0
)
=
1.
;
values
(
1
)
=
2
;
for
(
UInt
i
=
0
;
i
<
val_on_quad
.
getSize
();
++
i
,
++
val_it
)
*
val_it
=
values
;
// integrate function on elements
akantu
::
Array
<
akantu
::
Real
>
int_val_on_elem
(
nb_element
,
dim
,
"int_val_on_elem"
);
fem
->
integrate
(
val_on_quad
,
int_val_on_elem
,
dim
,
type
);
// get global integration value
Real
value
[
2
]
=
{
0
,
0
};
std
::
cout
<<
"Val on quads : "
<<
val_on_quad
<<
std
::
endl
;
std
::
cout
<<
"Integral on elements : "
<<
int_val_on_elem
<<
std
::
endl
;
for
(
UInt
i
=
0
;
i
<
fem
->
getMesh
().
getNbElement
(
type
);
++
i
)
{
value
[
0
]
+=
int_val_on_elem
.
storage
()[
2
*
i
];
value
[
1
]
+=
int_val_on_elem
.
storage
()[
2
*
i
+
1
];
}
std
::
cout
<<
"integral on the mesh of 1 is "
<<
value
[
0
]
<<
" and of 2 is "
<<
value
[
1
]
<<
std
::
endl
;
delete
fem
;
if
(
!
(
std
::
abs
(
value
[
0
]
-
1.
)
<
eps
&&
std
::
abs
(
value
[
1
]
-
2.
)
<
eps
))
{
std
::
cout
<<
"|1 - "
<<
value
[
0
]
<<
"| = "
<<
std
::
abs
(
value
[
0
]
-
1.
)
<<
std
::
endl
<<
"|2 - "
<<
value
[
1
]
<<
"| = "
<<
std
::
abs
(
value
[
1
]
-
2.
)
<<
std
::
endl
;
correct_result
=
false
;
}
return
correct_result
;
}
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