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rTAMAAS tamaas
boussinesq.cpp
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/**
* @file
*
* @author Lucas Frérot <lucas.frerot@epfl.ch>
*
* @section LICENSE
*
* Copyright (©) 2017 EPFL (Ecole Polytechnique Fédérale de
* Lausanne) Laboratory (LSMS - Laboratoire de Simulation en Mécanique des
* Solides)
*
* Tamaas 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.
*
* Tamaas 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 Tamaas. If not, see <http://www.gnu.org/licenses/>.
*
*/
/* -------------------------------------------------------------------------- */
#include "boussinesq.hh"
#include "influence.hh"
#include "kelvin_helper.hh"
#include "model.hh"
/* -------------------------------------------------------------------------- */
__BEGIN_TAMAAS__
/* -------------------------------------------------------------------------- */
namespace
detail
{
template
<
model_type
type
,
typename
T
>
class
BoussinesqHelper
{
using
boussinesq_t
=
T
;
using
trait
=
model_type_traits
<
type
>
;
static
constexpr
UInt
dim
=
trait
::
dimension
;
static
constexpr
UInt
bdim
=
trait
::
boundary_dimension
;
public
:
BoussinesqHelper
(
const
T
&
boussinesq
,
Real
y_3
,
Real
cutoff
)
:
boussinesq
(
boussinesq
),
y_3
(
y_3
),
cutoff
(
cutoff
)
{}
inline
void
applyIntegral
(
GridHermitian
<
Real
,
bdim
>&
out
,
GridHermitian
<
Real
,
bdim
>&
source
,
const
Grid
<
Real
,
bdim
>&
wavevectors
)
const
{
Loop
::
stridedLoop
(
[
&
](
typename
KelvinTrait
<
T
>::
out_t
&&
out_local
,
VectorProxy
<
Complex
,
dim
>&&
traction
,
VectorProxy
<
const
Real
,
bdim
>&&
q
)
{
// No Cutoff
// if (-q.l2norm() * std::abs(y_3) < std::log(cutoff))
// return;
out_local
+=
boussinesq
.
applyU0
(
traction
,
q
)
*
influence
::
KelvinIntegrator
<
0
>::
g0
<
true
>
(
q
.
l2norm
()
*
y_3
);
out_local
+=
(
boussinesq
.
applyU1
(
traction
,
q
)
*
influence
::
KelvinIntegrator
<
0
>::
g1
<
true
>
(
q
.
l2norm
()
*
y_3
));
},
out
,
source
,
wavevectors
);
}
inline
void
applyConstantTerm
(
typename
KelvinTrait
<
T
>::
out_t
&
out
,
typename
KelvinTrait
<
T
>::
source_t
&
/*source*/
,
const
influence
::
ElasticHelper
<
dim
>&
/*el*/
)
const
{
out
=
0
;
}
protected
:
const
T
&
boussinesq
;
const
Real
y_3
,
cutoff
;
};
template
<>
inline
void
BoussinesqHelper
<
model_type
::
volume_2d
,
influence
::
Boussinesq
<
3
,
1
>>::
applyConstantTerm
(
typename
KelvinTrait
<
influence
::
Boussinesq
<
3
,
1
>>::
out_t
&
out
,
typename
KelvinTrait
<
influence
::
Boussinesq
<
3
,
1
>>::
source_t
&
source
,
const
influence
::
ElasticHelper
<
dim
>&
el
)
const
{
out
=
0
;
out
(
0
,
2
)
=
-
source
(
0
)
/
el
.
mu
;
out
(
1
,
2
)
=
-
source
(
1
)
/
el
.
mu
;
out
(
2
,
2
)
=
-
source
(
2
)
/
(
el
.
lambda
+
2
*
el
.
mu
);
}
}
// namespace detail
template
<>
Boussinesq
<
model_type
::
volume_2d
,
0
>::
Boussinesq
(
Model
*
model
)
:
parent
(
model
)
{
this
->
initialize
(
trait
::
dimension
,
trait
::
dimension
);
}
template
<>
Boussinesq
<
model_type
::
volume_2d
,
1
>::
Boussinesq
(
Model
*
model
)
:
parent
(
model
)
{
this
->
initialize
(
trait
::
dimension
,
trait
::
dimension
*
trait
::
dimension
);
}
/* -------------------------------------------------------------------------- */
/* Operator implementation */
/* -------------------------------------------------------------------------- */
template
<
model_type
type
,
UInt
derivative
>
void
Boussinesq
<
type
,
derivative
>::
apply
(
GridBase
<
Real
>&
source
,
GridBase
<
Real
>&
out
)
const
{
Real
nu
=
this
->
model
->
getPoissonRatio
(),
mu
=
this
->
model
->
getShearModulus
();
influence
::
Boussinesq
<
trait
::
dimension
,
derivative
>
boussinesq
(
mu
,
nu
);
auto
apply
=
[
&
](
UInt
i
,
decltype
(
this
->
source_buffers
)
&
source_buffers
,
decltype
(
this
->
disp_buffer
)
&
out_buffer
)
{
const
Real
L
=
this
->
model
->
getSystemSize
().
front
();
const
UInt
N
=
this
->
model
->
getDiscretization
().
front
();
const
Real
dl
=
L
/
(
N
-
1
);
out_buffer
=
0
;
const
Real
xi
=
i
*
dl
;
detail
::
BoussinesqHelper
<
type
,
decltype
(
boussinesq
)
>
helper
(
boussinesq
,
xi
,
1e-2
);
helper
.
applyIntegral
(
out_buffer
,
source_buffers
.
front
(),
this
->
wavevectors
);
typename
detail
::
KelvinTrait
<
decltype
(
boussinesq
)
>::
out_t
out_fundamental
(
out_buffer
(
0
));
typename
detail
::
KelvinTrait
<
decltype
(
boussinesq
)
>::
source_t
in_fundamental
(
source_buffers
.
front
()(
0
));
// Uniform shift in case of gradient computation
helper
.
applyConstantTerm
(
out_fundamental
,
in_fundamental
,
influence
::
ElasticHelper
<
trait
::
dimension
>
(
mu
,
nu
));
};
// the source is a Grid<Real, bdim> grid normally, so we gotta make sure we
// can cast it into a Grid<Real, dim>
GridView
<
Grid
,
Real
,
trait
::
boundary_dimension
,
trait
::
dimension
>
view
(
source
,
{},
-
1
);
this
->
fourierApply
(
apply
,
view
,
out
);
}
/* -------------------------------------------------------------------------- */
template
<
model_type
type
,
UInt
derivative
>
void
Boussinesq
<
type
,
derivative
>::
initialize
(
UInt
source_components
,
UInt
out_components
)
{
// Copy horizontal sizes
std
::
array
<
UInt
,
trait
::
boundary_dimension
>
sizes
;
std
::
copy
(
this
->
model
->
getDiscretization
().
begin
()
+
1
,
this
->
model
->
getDiscretization
().
end
(),
sizes
.
begin
());
auto
hermitian_sizes
=
GridHermitian
<
Real
,
trait
::
boundary_dimension
>::
hermitianDimensions
(
sizes
);
this
->
disp_buffer
.
setNbComponents
(
out_components
);
this
->
disp_buffer
.
resize
(
hermitian_sizes
);
this
->
source_buffers
.
resize
(
1
);
auto
&
source
=
this
->
source_buffers
.
front
();
source
.
setNbComponents
(
source_components
);
source
.
resize
(
hermitian_sizes
);
}
__END_TAMAAS__
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