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rTAMAAS tamaas
westergaard.cpp
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/**
* @file
* LICENSE
*
* Copyright (©) 2016-2021 EPFL (École Polytechnique Fédérale de Lausanne),
* Laboratory (LSMS - Laboratoire de Simulation en Mécanique des Solides)
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU Affero General Public License as published
* by the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* This program 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 Affero General Public License for more details.
*
* You should have received a copy of the GNU Affero General Public License
* along with this program. If not, see <https://www.gnu.org/licenses/>.
*
*/
/* -------------------------------------------------------------------------- */
#include "grid_view.hh"
#include "influence.hh"
#include "loop.hh"
#include "model.hh"
#include "static_types.hh"
#include "westergaard.hh"
/* -------------------------------------------------------------------------- */
namespace
tamaas
{
/* -------------------------------------------------------------------------- */
template
<
model_type
mtype
,
IntegralOperator
::
kind
otype
>
Westergaard
<
mtype
,
otype
>::
Westergaard
(
Model
*
model
)
:
IntegralOperator
(
model
),
influence
(),
buffer
(),
engine
(
FFTEngine
::
makeEngine
())
{
// Copy sizes
auto
bdisc
=
model
->
getBoundaryDiscretization
();
auto
boundary_hermitian_sizes
=
GridHermitian
<
Real
,
trait
::
boundary_dimension
>::
hermitianDimensions
(
bdisc
);
constexpr
UInt
nb_components
=
trait
::
components
;
buffer
.
setNbComponents
(
nb_components
);
buffer
.
resize
(
boundary_hermitian_sizes
);
influence
.
setNbComponents
(
nb_components
*
nb_components
);
influence
.
resize
(
boundary_hermitian_sizes
);
initInfluence
();
}
/* -------------------------------------------------------------------------- */
namespace
detail
{
template
<
UInt
m
,
UInt
j
>
struct
boundary_fft_helper
{
template
<
typename
Buffer
,
typename
Out
>
static
void
backwardTransform
(
FFTEngine
&
e
,
Buffer
&&
buffer
,
Out
&&
out
)
{
auto
view
=
make_view
(
out
,
0
);
e
.
backward
(
view
,
buffer
);
}
};
template
<
UInt
m
>
struct
boundary_fft_helper
<
m
,
m
>
{
template
<
typename
Buffer
,
typename
Out
>
static
void
backwardTransform
(
FFTEngine
&
e
,
Buffer
&&
buffer
,
Out
&&
out
)
{
e
.
backward
(
out
,
buffer
);
}
};
}
// namespace detail
template
<
model_type
mtype
,
IntegralOperator
::
kind
otype
>
template
<
typename
Functor
>
void
Westergaard
<
mtype
,
otype
>::
fourierApply
(
Functor
func
,
GridBase
<
Real
>&
in
,
GridBase
<
Real
>&
out
)
const
try
{
auto
&
i
=
dynamic_cast
<
Grid
<
Real
,
bdim
>&>
(
in
);
auto
&
full_out
=
dynamic_cast
<
Grid
<
Real
,
dim
>&>
(
out
);
engine
->
forward
(
i
,
buffer
);
/// Applying influence
func
(
buffer
,
influence
);
/// Backward fourier transform on boundary only
detail
::
boundary_fft_helper
<
bdim
,
dim
>::
backwardTransform
(
*
engine
,
buffer
,
full_out
);
}
catch
(
const
std
::
bad_cast
&
e
)
{
TAMAAS_EXCEPTION
(
"Neumann and dirichlet types do not match model type"
);
}
/* -------------------------------------------------------------------------- */
template
<
model_type
mtype
,
IntegralOperator
::
kind
otype
>
template
<
typename
Functor
>
void
Westergaard
<
mtype
,
otype
>::
initFromFunctor
(
Functor
func
)
{
// Compute wavevectors for influence
auto
wavevectors
=
FFTEngine
::
template
computeFrequencies
<
Real
,
bdim
,
true
>
(
influence
.
sizes
());
// Get boundary physical size
auto
system_size
=
this
->
model
->
getBoundarySystemSize
();
VectorProxy
<
const
Real
,
bdim
>
domain
(
system_size
[
0
]);
// Normalize wavevectors
wavevectors
*=
2
*
M_PI
;
wavevectors
/=
domain
;
// Apply functor
Loop
::
loop
(
func
,
range
<
VectorProxy
<
Real
,
bdim
>>
(
wavevectors
),
range
<
MatrixProxy
<
Complex
,
comp
,
comp
>>
(
influence
));
if
(
mpi
::
rank
()
==
0
)
{
// Set fundamental mode to zero
MatrixProxy
<
Complex
,
comp
,
comp
>
mat
(
influence
(
0
));
mat
=
0
;
}
}
/* -------------------------------------------------------------------------- */
#define NEUMANN_BASIC(type) \
template <> \
void Westergaard<type, IntegralOperator::neumann>::initInfluence() { \
auto E_star = model->getHertzModulus(); \
auto basic = [E_star] CUDA_LAMBDA(VectorProxy<Real, bdim> q, \
MatrixProxy<Complex, comp, comp> k) { \
k(0, 0) = 2. / (E_star * q.l2norm()); \
}; \
initFromFunctor(basic); \
}
#define DIRICHLET_BASIC(type) \
template <> \
void Westergaard<type, IntegralOperator::dirichlet>::initInfluence() { \
auto E_star = model->getHertzModulus(); \
auto basic = [E_star] CUDA_LAMBDA(VectorProxy<Real, bdim> q, \
MatrixProxy<Complex, comp, comp> k) { \
k(0, 0) = E_star * q.l2norm() / 2; \
}; \
initFromFunctor(basic); \
}
NEUMANN_BASIC
(
model_type
::
basic_1d
)
NEUMANN_BASIC
(
model_type
::
basic_2d
)
DIRICHLET_BASIC
(
model_type
::
basic_1d
)
DIRICHLET_BASIC
(
model_type
::
basic_2d
)
#undef NEUMANN_BASIC
#undef DIRICHLET_BASIC
/* -------------------------------------------------------------------------- */
template
<>
void
Westergaard
<
model_type
::
surface_1d
,
IntegralOperator
::
neumann
>::
initInfluence
()
{
auto
E
=
model
->
getYoungModulus
();
auto
nu
=
model
->
getPoissonRatio
();
const
Complex
I
(
0
,
1
);
auto
surface
=
[
E
,
nu
,
I
]
CUDA_LAMBDA
(
VectorProxy
<
Real
,
bdim
>
q_
,
MatrixProxy
<
Complex
,
comp
,
comp
>
F
)
{
Real
q
=
q_
(
0
);
q
*=
1.
/
q_
.
l2norm
();
F
(
0
,
0
)
=
2
*
(
1
+
nu
)
*
(
1
-
nu
*
q
*
q
);
F
(
1
,
1
)
=
2
*
(
1
-
nu
*
nu
);
F
(
0
,
1
)
=
I
*
q
*
(
1
+
nu
)
*
(
1
-
2
*
nu
);
F
(
1
,
0
)
=
-
F
(
0
,
1
);
F
*=
1.
/
(
E
*
q_
.
l2norm
());
};
initFromFunctor
(
surface
);
}
/* -------------------------------------------------------------------------- */
template
<>
void
Westergaard
<
model_type
::
surface_2d
,
IntegralOperator
::
neumann
>::
initInfluence
()
{
auto
E
=
model
->
getYoungModulus
();
auto
nu
=
model
->
getPoissonRatio
();
const
Complex
I
(
0
,
1
);
auto
surface
=
[
E
,
nu
,
I
]
CUDA_LAMBDA
(
VectorProxy
<
Real
,
bdim
>
q_
,
MatrixProxy
<
Complex
,
comp
,
comp
>
F
)
{
Vector
<
Real
,
bdim
>
q
(
q_
);
q
*=
1
/
q_
.
l2norm
();
F
(
0
,
0
)
=
2
*
(
1
+
nu
)
*
(
1
-
nu
*
q
(
0
)
*
q
(
0
));
F
(
1
,
1
)
=
2
*
(
1
+
nu
)
*
(
1
-
nu
*
q
(
1
)
*
q
(
1
));
F
(
2
,
2
)
=
2
*
(
1
-
nu
*
nu
);
F
(
0
,
1
)
=
F
(
1
,
0
)
=
-
q
(
0
)
*
q
(
1
)
*
2
*
nu
*
(
1
+
nu
);
F
(
0
,
2
)
=
I
*
q
(
0
)
*
(
1
+
nu
)
*
(
1.
-
2.
*
nu
);
F
(
1
,
2
)
=
I
*
q
(
1
)
*
(
1
+
nu
)
*
(
1.
-
2.
*
nu
);
F
(
2
,
0
)
=
-
F
(
0
,
2
);
F
(
2
,
1
)
=
-
F
(
1
,
2
);
F
*=
1.
/
(
E
*
q_
.
l2norm
());
};
initFromFunctor
(
surface
);
}
/* -------------------------------------------------------------------------- */
template
<
model_type
mtype
,
IntegralOperator
::
kind
otype
>
void
Westergaard
<
mtype
,
otype
>::
initInfluence
()
{}
/* ------------------------------------------------------------------------ */
template
<
model_type
mtype
,
IntegralOperator
::
kind
otype
>
void
Westergaard
<
mtype
,
otype
>::
apply
(
GridBase
<
Real
>&
input
,
GridBase
<
Real
>&
output
)
const
{
auto
apply
=
[](
decltype
(
buffer
)
&
buffer
,
const
decltype
(
influence
)
&
influence
)
{
Loop
::
loop
(
[]
CUDA_LAMBDA
(
VectorProxy
<
Complex
,
comp
>
i
,
MatrixProxy
<
const
Complex
,
comp
,
comp
>
F
)
{
i
=
F
*
i
;
},
range
<
VectorProxy
<
Complex
,
comp
>>
(
buffer
),
range
<
MatrixProxy
<
const
Complex
,
comp
,
comp
>>
(
influence
));
};
fourierApply
(
apply
,
input
,
output
);
}
/* -------------------------------------------------------------------------- */
template
<
model_type
type
,
IntegralOperator
::
kind
otype
>
Real
Westergaard
<
type
,
otype
>::
getOperatorNorm
()
{
constexpr
UInt
comp
=
model_type_traits
<
type
>::
components
;
Real
_norm
=
0.0
;
_norm
=
Loop
::
reduce
<
operation
::
plus
>
(
[]
CUDA_LAMBDA
(
MatrixProxy
<
Complex
,
comp
,
comp
>
m
)
{
Real
n
=
thrust
::
norm
(
m
.
l2squared
());
return
std
::
isnan
(
n
)
?
0
:
n
;
},
range
<
MatrixProxy
<
Complex
,
comp
,
comp
>>
(
influence
));
auto
size
=
model
->
getSystemSize
();
auto
disc
=
model
->
getDiscretization
();
auto
dim
=
model_type_traits
<
type
>::
dimension
;
/// TODO: why?
switch
(
dim
)
{
case
1
:
_norm
/=
(
size
[
0
]
/
disc
[
0
])
*
(
size
[
0
]
/
disc
[
0
]);
break
;
default
:
for
(
UInt
i
=
0
;
i
<
dim
;
i
++
)
{
_norm
/=
size
[
i
]
/
disc
[
i
];
}
}
return
std
::
sqrt
(
_norm
);
}
/* -------------------------------------------------------------------------- */
/* Template instanciation */
/* -------------------------------------------------------------------------- */
template
class
Westergaard
<
model_type
::
basic_1d
,
IntegralOperator
::
neumann
>
;
template
class
Westergaard
<
model_type
::
basic_2d
,
IntegralOperator
::
neumann
>
;
template
class
Westergaard
<
model_type
::
basic_1d
,
IntegralOperator
::
dirichlet
>
;
template
class
Westergaard
<
model_type
::
basic_2d
,
IntegralOperator
::
dirichlet
>
;
template
class
Westergaard
<
model_type
::
surface_1d
,
IntegralOperator
::
neumann
>
;
template
class
Westergaard
<
model_type
::
surface_2d
,
IntegralOperator
::
neumann
>
;
template
class
Westergaard
<
model_type
::
surface_1d
,
IntegralOperator
::
dirichlet
>
;
template
class
Westergaard
<
model_type
::
surface_2d
,
IntegralOperator
::
dirichlet
>
;
template
class
Westergaard
<
model_type
::
volume_1d
,
IntegralOperator
::
neumann
>
;
template
class
Westergaard
<
model_type
::
volume_2d
,
IntegralOperator
::
neumann
>
;
template
class
Westergaard
<
model_type
::
volume_1d
,
IntegralOperator
::
dirichlet
>
;
template
class
Westergaard
<
model_type
::
volume_2d
,
IntegralOperator
::
dirichlet
>
;
/* -------------------------------------------------------------------------- */
}
// namespace tamaas
/* -------------------------------------------------------------------------- */
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