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nek5000
giraffe
Commits
26f7fb45
Commit
26f7fb45
authored
Oct 17, 2016
by
Ron Rahaman
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Added 2D transient circle problem
parent
00f08f6b
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examples/heat_conduction/2D_circle_sideset.exo
examples/heat_conduction/2D_circle_sideset.exo
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0
examples/heat_conduction/2d_transient_circle.i
examples/heat_conduction/2d_transient_circle.i
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examples/heat_conduction/2D_circle_sideset.exo
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examples/heat_conduction/2d_transient_circle.i
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26f7fb45
#
This
test
solves
a
1
D
transient
heat
equation
#
The
error
is
caclulated
by
comparing
to
the
analytical
solution
#
The
problem
setup
and
analytical
solution
are
taken
from
"Advanced Engineering
# Mathematics, 10th edition"
by
Erwin
Kreyszig
.
#
http
:
//www.amazon.com/AdvancedEngineeringMathematicsErwinKreyszig/dp/0470458364
#
It
is
Example
1
in
section
12.6
on
page
561
[
Mesh
]
#
This
is
a
circle
from
x
=
(

0.5
,
0.5
)
and
y
=
(

0.5
,
0.5
)
file
=
2
D_circle_sideset
.
exo
block_id
=
'1'
block_name
=
'
interior
'
boundary_id
=
'
100
'
boundary_name
=
'
wall
'
[]
[
Variables
]
[
.
/
T
]
[
..
/
]
[]
[
Kernels
]
[
.
/
HeatSource
]
type
=
HeatSource
function
=
'
100
*
cos
(
3.14159
*
x
)
*
cos
(
3.14159
*
y
)
'
variable
=
T
[
..
/
]
[
.
/
HeatDiff
]
type
=
HeatConduction
variable
=
T
[
..
/
]
[
.
/
HeatTdot
]
type
=
HeatConductionTimeDerivative
variable
=
T
[
..
/
]
[]
[
BCs
]
[
.
/
wall
]
type
=
DirichletBC
variable
=
T
boundary
=
'
wall
'
value
=
0
[
..
/
]
[]
[
Materials
]
[
.
/
k
]
type
=
GenericConstantMaterial
prop_names
=
'
thermal_conductivity
'
prop_values
=
'
0.95
'
#
copper
in
cal
/
(
cm
sec
C
)
block
=
'
interior
'
[
..
/
]
[
.
/
cp
]
type
=
GenericConstantMaterial
prop_names
=
'
specific_heat
'
prop_values
=
'
0.092
'
#
copper
in
cal
/
(
g
C
)
block
=
'
interior
'
[
..
/
]
[
.
/
rho
]
type
=
GenericConstantMaterial
prop_names
=
'
density
'
prop_values
=
'
8.92
'
#
copper
in
g
/
(
cm
^
3
)
block
=
'
interior
'
[
..
/
]
[]
[
Postprocessors
]
[
.
/
error
]
type
=
NodalL2Error
function
=
'
100
*
sin
(
3.14159
*
x
/
80
)
*
exp
(

0.95
/
(
0.092
*
8.92
)
*
3.14159
^
2
/
80
^
2
*
t
)
'
#
T
(
x
,
t
)
=
100
sin
(
pix
/
L
)
exp
(

rho
/
(
cp
k
)
pi
^
2
/
L
^
2
t
)
variable
=
T
[
..
/
]
[]
[
Executioner
]
type
=
Transient
scheme
=
bdf2
#
Others
available
:
backward
Euler
,
CrankNicholson
,
etc
.
dt
=
0.5
#
Initial
timestep
size
start_time
=
0
#
Starting
time
num_steps
=
6
#
DIVERGES
AFTER
6
TIMESTEPS
..
.
nl_rel_tol
=
1e12
#
Nonlinear
relative
tolerance
l_tol
=
1e6
#
Linear
tolerance
petsc_options_iname
=
'

pc_type

pc_hypre_type
'
petsc_options_value
=
'
hypre
boomeramg
'
[]
[
Outputs
]
exodus
=
true
print_perf_log
=
true
[]
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