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helmholtz_elasticity.py
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Thu, Oct 31, 21:05
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text/x-python
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R6746 RationalROMPy
helmholtz_elasticity.py
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# Copyright (C) 2018 by the RROMPy authors
#
# This file is part of RROMPy.
#
# RROMPy 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.
#
# RROMPy 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 RROMPy. If not, see <http://www.gnu.org/licenses/>.
#
import
numpy
as
np
from
rrompy.hfengines.vector_linear_problem
import
(
LinearElasticityHelmholtzProblemEngine
,
LinearElasticityHelmholtzProblemEngineDamped
,
LinearElasticityHelmholtzArchwayFrequency
)
from
rod_3d
import
rod3Dsolver
def
test_helmholtz_elastic_arch
():
solver
=
LinearElasticityHelmholtzArchwayFrequency
(
kappa
=
10
,
n
=
30
,
rho_
=
1e4
,
T
=
1e5
,
lambda_
=
4e6
,
mu_
=
7e5
,
R
=
2e1
,
r
=
1.5e1
,
verbosity
=
0
)
mu
=
10
uh
=
solver
.
solve
(
mu
)[
0
]
assert
np
.
isclose
(
solver
.
norm
(
uh
),
3188.9960782143194
,
rtol
=
1e-5
)
assert
np
.
isclose
(
solver
.
norm
(
solver
.
residual
(
uh
,
mu
)[
0
]),
3.025504915e-05
,
rtol
=
1e-1
)
def
test_helmholtz_elastic_rod
():
solverBase
=
rod3Dsolver
()
solver
=
LinearElasticityHelmholtzProblemEngine
()
solver
.
V
=
solverBase
.
V
solver
.
lambda_
=
solverBase
.
lambda_
solver
.
mu_
=
solverBase
.
mu_
solver
.
forcingTerm
=
solverBase
.
forcingTerm
solver
.
DirichletBoundary
=
solverBase
.
DirichletBoundary
solver
.
NeumannBoundary
=
solverBase
.
NeumannBoundary
mu
=
10
uh
=
solver
.
solve
(
mu
)[
0
]
assert
np
.
isclose
(
solver
.
norm
(
uh
),
0.17836028624665373
,
rtol
=
1e-5
)
assert
np
.
isclose
(
solver
.
norm
(
solver
.
residual
(
uh
,
10
)[
0
]),
7.030048088e-08
,
rtol
=
1e-1
)
def
test_helmholtz_elastic_rod_damped
():
solverBase
=
rod3Dsolver
()
solver
=
LinearElasticityHelmholtzProblemEngineDamped
()
solver
.
V
=
solverBase
.
V
solver
.
lambda_
=
solverBase
.
lambda_
solver
.
mu_
=
solverBase
.
mu_
solver
.
forcingTerm
=
solverBase
.
forcingTerm
solver
.
DirichletBoundary
=
solverBase
.
DirichletBoundary
solver
.
NeumannBoundary
=
solverBase
.
NeumannBoundary
solver
.
eta
=
10
mu
=
10
uh
=
solver
.
solve
(
mu
)[
0
]
assert
np
.
isclose
(
solver
.
norm
(
uh
),
0.17646530119044376
,
rtol
=
1e-2
)
assert
np
.
isclose
(
solver
.
norm
(
solver
.
residual
(
uh
,
10
)[
0
]),
6.802444e-08
,
rtol
=
1e-1
)
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