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pycodegen
lbmpy
Commits
254f3b27
Commit
254f3b27
authored
3 years ago
by
Markus Holzer
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Added first wall law
parent
95a0163e
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1 merge request
!106
Draft: Wall law
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1
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1 changed file
lbmpy/boundaries/wall_models.py
+67
-4
67 additions, 4 deletions
lbmpy/boundaries/wall_models.py
with
67 additions
and
4 deletions
lbmpy/boundaries/wall_models.py
+
67
−
4
View file @
254f3b27
...
...
@@ -2,8 +2,9 @@ import sympy as sp
from
pystencils
import
Assignment
from
pystencils.stencil
import
offset_to_direction_string
from
lbmpy.advanced_streaming.indexing
import
MirroredStencilDirections
from
lbmpy.advanced_streaming.indexing
import
MirroredStencilDirections
,
NeighbourOffsetArrays
from
lbmpy.boundaries.boundaryconditions
import
LbBoundary
from
lbmpy.relaxationrates
import
lattice_viscosity_from_relaxation_rate
class
WallFunctionBounce
(
LbBoundary
):
...
...
@@ -18,9 +19,10 @@ class WallFunctionBounce(LbBoundary):
name: optional name of the boundary.
"""
def
__init__
(
self
,
stencil
,
normal_direction
,
name
=
None
):
def
__init__
(
self
,
stencil
,
normal_direction
,
omega
,
name
=
None
):
"""
Set an optional name here, to mark boundaries, for example for force evaluations
"""
self
.
stencil
=
stencil
self
.
omega
=
omega
if
len
(
normal_direction
)
-
normal_direction
.
count
(
0
)
!=
1
:
raise
ValueError
(
"
Only normal directions for straight walls are supported for example (0, 1, 0) for
"
...
...
@@ -37,11 +39,72 @@ class WallFunctionBounce(LbBoundary):
super
(
WallFunctionBounce
,
self
).
__init__
(
name
)
def
get_additional_code_nodes
(
self
,
lb_method
):
return
[
MirroredStencilDirections
(
self
.
stencil
,
self
.
mirror_axis
)]
return
[
MirroredStencilDirections
(
self
.
stencil
,
self
.
mirror_axis
)
,
NeighbourOffsetArrays
(
lb_method
.
stencil
)
]
def
__call__
(
self
,
f_out
,
f_in
,
dir_symbol
,
inv_dir
,
lb_method
,
index_field
):
normal_direction
=
self
.
normal_direction
mirrored_stencil_symbol
=
MirroredStencilDirections
.
_mirrored_symbol
(
self
.
mirror_axis
)
mirrored_direction
=
inv_dir
[
sp
.
IndexedBase
(
mirrored_stencil_symbol
,
shape
=
(
1
,))[
dir_symbol
]]
return
Assignment
(
f_in
(
inv_dir
[
dir_symbol
]),
f_in
[
normal_direction
](
mirrored_direction
))
dt
=
1
dy
=
1
factor
=
dt
/
(
2
*
dy
)
stencil
=
self
.
stencil
cqc
=
lb_method
.
conserved_quantity_computation
rho
=
cqc
.
zeroth_order_moment_symbol
u
=
cqc
.
first_order_moment_symbols
newton_steps
=
10
u_t
=
sp
.
symbols
(
f
"
u_tau_:
{
newton_steps
+
1
}
"
)
u_m
=
sp
.
Symbol
(
"
u_m
"
)
B
=
5.5
k
=
0.41
delta
=
sp
.
symbols
(
f
"
delta_:
{
newton_steps
}
"
)
tau_w
=
sp
.
Symbol
(
"
tau_w
"
)
tau_w_x
,
tau_w_z
=
sp
.
symbols
(
"
tau_w_x tau_w_z
"
)
pdf_center_vector
=
sp
.
Matrix
([
0
]
*
stencil
.
Q
)
for
i
in
range
(
stencil
.
Q
):
pdf_center_vector
[
i
]
=
f_in
[
normal_direction
](
i
)
eq_equations
=
cqc
.
equilibrium_input_equations_from_pdfs
(
pdf_center_vector
)
u_mag
=
Assignment
(
u_m
,
sp
.
sqrt
(
sum
([
x
**
2
for
x
in
u
])))
nu
=
lattice_viscosity_from_relaxation_rate
(
self
.
omega
)
up
=
u_m
/
u_t
[
0
]
y
=
0.5
y_plus
=
(
y
*
u_t
[
0
])
/
nu
spaldings_law
=
up
+
sp
.
exp
(
-
k
*
B
)
*
(
sp
.
exp
(
k
*
up
)
-
1
-
(
k
*
up
)
-
((
k
*
up
)
**
2
)
/
2
-
((
k
*
up
)
**
3
)
/
6
)
-
y_plus
m
=
-
spaldings_law
/
spaldings_law
.
diff
(
u_t
[
0
])
init_guess
=
Assignment
(
u_t
[
0
],
u_m
)
newton_assignmets
=
[]
for
i
in
range
(
newton_steps
):
newton_assignmets
.
append
(
Assignment
(
delta
[
i
],
m
.
subs
({
u_t
[
0
]:
u_t
[
i
]})))
newton_assignmets
.
append
(
Assignment
(
u_t
[
i
+
1
],
u_t
[
i
]
+
delta
[
i
]))
shear_stress
=
Assignment
(
tau_w
,
u_t
[
newton_steps
]
**
2
*
rho
)
result
=
eq_equations
.
all_assignments
result
.
append
(
u_mag
)
result
.
append
(
init_guess
)
result
.
extend
(
newton_assignmets
)
result
.
append
(
shear_stress
)
result
.
append
(
Assignment
(
tau_w_x
,
-
u
[
0
]
/
(
sp
.
sqrt
(
u
[
0
]
**
2
+
u
[
2
]
**
2
))
*
tau_w
))
result
.
append
(
Assignment
(
tau_w_z
,
-
u
[
2
]
/
(
sp
.
sqrt
(
u
[
0
]
**
2
+
u
[
2
]
**
2
))
*
tau_w
))
neighbor_offset
=
NeighbourOffsetArrays
.
neighbour_offset
(
dir_symbol
,
lb_method
.
stencil
)
drag
=
neighbor_offset
[
0
]
*
factor
*
tau_w_x
+
neighbor_offset
[
2
]
*
factor
*
tau_w_z
result
.
append
(
Assignment
(
f_in
(
inv_dir
[
dir_symbol
]),
f_in
[
normal_direction
](
mirrored_direction
)
*
drag
))
return
result
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