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test_gradient.cc
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Sun, Aug 25, 11:32
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Tue, Aug 27, 11:32 (2 d)
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rAKA akantu
test_gradient.cc
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/**
* @file test_gradient.cc
*
* @author Nicolas Richart <nicolas.richart@epfl.ch>
* @author Peter Spijker <peter.spijker@epfl.ch>
*
* @date creation: Fri Sep 03 2010
* @date last modification: Mon Feb 19 2018
*
* @brief test of the fem class
*
*
* Copyright (©) 2010-2018 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/>.
*
* @section DESCRIPTION
*
* This code is computing the gradient of a linear field and check that it gives
* a constant result. It also compute the gradient the coordinates of the mesh
* and check that it gives the identity
*
*/
/* -------------------------------------------------------------------------- */
#include "test_fe_engine_fixture.hh"
/* -------------------------------------------------------------------------- */
#include <cstdlib>
#include <iostream>
/* -------------------------------------------------------------------------- */
using
namespace
akantu
;
TYPED_TEST
(
TestFEMFixture
,
GradientPoly
)
{
this
->
fem
->
initShapeFunctions
();
Real
alpha
[
2
][
3
]
=
{{
13
,
23
,
31
},
{
11
,
7
,
5
}};
const
auto
dim
=
this
->
dim
;
const
auto
type
=
this
->
type
;
const
auto
&
position
=
this
->
fem
->
getMesh
().
getNodes
();
Array
<
Real
>
const_val
(
this
->
fem
->
getMesh
().
getNbNodes
(),
2
,
"const_val"
);
for
(
auto
&&
pair
:
zip
(
make_view
(
position
,
dim
),
make_view
(
const_val
,
2
)))
{
auto
&
pos
=
std
::
get
<
0
>
(
pair
);
auto
&
const_
=
std
::
get
<
1
>
(
pair
);
const_
.
set
(
0.
);
for
(
UInt
d
=
0
;
d
<
dim
;
++
d
)
{
const_
(
0
)
+=
alpha
[
0
][
d
]
*
pos
(
d
);
const_
(
1
)
+=
alpha
[
1
][
d
]
*
pos
(
d
);
}
}
/// compute the gradient
Array
<
Real
>
grad_on_quad
(
this
->
nb_quadrature_points_total
,
2
*
dim
,
"grad_on_quad"
);
this
->
fem
->
gradientOnIntegrationPoints
(
const_val
,
grad_on_quad
,
2
,
type
);
/// check the results
for
(
auto
&&
grad
:
make_view
(
grad_on_quad
,
2
,
dim
))
{
for
(
UInt
d
=
0
;
d
<
dim
;
++
d
)
{
EXPECT_NEAR
(
grad
(
0
,
d
),
alpha
[
0
][
d
],
5e-13
);
EXPECT_NEAR
(
grad
(
1
,
d
),
alpha
[
1
][
d
],
5e-13
);
}
}
}
TYPED_TEST
(
TestFEMFixture
,
GradientPositions
)
{
this
->
fem
->
initShapeFunctions
();
const
auto
dim
=
this
->
dim
;
const
auto
type
=
this
->
type
;
UInt
nb_quadrature_points
=
this
->
fem
->
getNbIntegrationPoints
(
type
)
*
this
->
nb_element
;
Array
<
Real
>
grad_coord_on_quad
(
nb_quadrature_points
,
dim
*
dim
,
"grad_coord_on_quad"
);
const
auto
&
position
=
this
->
mesh
->
getNodes
();
this
->
fem
->
gradientOnIntegrationPoints
(
position
,
grad_coord_on_quad
,
dim
,
type
);
auto
I
=
Matrix
<
Real
>::
eye
(
UInt
(
dim
));
for
(
auto
&&
grad
:
make_view
(
grad_coord_on_quad
,
dim
,
dim
))
{
auto
diff
=
(
I
-
grad
).
template
norm
<
L_inf
>
();
EXPECT_NEAR
(
0.
,
diff
,
2e-14
);
}
}
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