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Mischa Dombrowski
lbmweights
Commits
e264993d
Commit
e264993d
authored
Sep 18, 2019
by
mischa
Browse files
Finished 2D assignment collection
parent
e18c3e43
Changes
1
Hide whitespace changes
Inline
Side-by-side
lbmweights/lattice.py
View file @
e264993d
...
...
@@ -225,48 +225,63 @@ class Lattice:
self
.
_eq_order
=
2
return
self
.
_eq_order
@
property
def
necessary_ghost_layers
(
self
):
velocities
=
self
.
velocities
return
np
.
array
(
velocities
).
max
()
@
property
@
ps_installed
def
assignment_collection
(
self
,
ps
):
if
self
.
_dimension
==
3
:
return
self
.
_assignment_collection3d
()
c_s_sq
,
weights
,
velocities
=
self
.
velocity_set
()
symbolic_description
=
[]
c_s_sq
=
self
.
c_s_sq
weights
=
self
.
weights
velocities
=
self
.
velocities
Q
=
self
.
q
c_ix
=
velocities
[
0
]
c_iy
=
velocities
[
1
]
weights
=
[
complex
(
x
).
real
for
x
in
weights
]
c_ix
=
[
vel
[
0
]
for
vel
in
velocities
]
c_iy
=
[
vel
[
1
]
for
vel
in
velocities
]
src
,
dst
=
ps
.
fields
(
"src({Q}), dst({Q}): double[2D]"
.
format
(
Q
=
Q
))
density
,
u_x
,
u_y
,
omega
=
sp
.
symbols
(
"density, u_x, u_y, omega"
)
density_formula
=
sum
([
src
[
0
,
0
](
i
)
for
i
in
range
(
Q
)])
vel_x_formula
=
(
sum
([
src
[
0
,
0
](
i
)
*
c_ix
[
i
]
for
i
in
range
(
Q
)]))
/
density
vel_y_formula
=
(
sum
([
src
[
0
,
0
](
i
)
*
c_iy
[
i
]
for
i
in
range
(
Q
)]))
/
density
for
i
in
range
(
Q
):
symbolic_description
.
append
(
ps
.
Assignment
(
dst
[
0
,
0
](
i
),
src
[
c_ix
[
i
],
c_iy
[
i
]](
i
),
)
)
symbolic_description
=
[
ps
.
Assignment
(
density
,
density_formula
),
ps
.
Assignment
(
u_x
,
vel_x_formula
),
ps
.
Assignment
(
u_y
,
vel_y_formula
),
]
density_formula
=
sum
([
dst
[
0
,
0
](
i
)
for
i
in
range
(
Q
)])
vel_x_formula
=
(
sum
([
dst
[
0
,
0
](
i
)
*
c_ix
[
i
]
for
i
in
range
(
Q
)]))
/
density
vel_y_formula
=
(
sum
([
dst
[
0
,
0
](
i
)
*
c_iy
[
i
]
for
i
in
range
(
Q
)]))
/
density
symbolic_description
.
append
(
ps
.
Assignment
(
density
,
density_formula
))
symbolic_description
.
append
(
ps
.
Assignment
(
u_x
,
vel_x_formula
))
symbolic_description
.
append
(
ps
.
Assignment
(
u_y
,
vel_y_formula
))
for
i
in
range
(
Q
):
feq_formula
=
weights
[
i
]
*
density
[
0
,
0
]
*
(
feq_formula
=
weights
[
i
]
*
density
*
(
1
+
(
u_x
*
c_ix
[
i
]
+
u_y
*
c_iy
[
i
])
/
c_s_sq
+
(
u_x
*
c_ix
[
i
]
+
u_y
*
c_iy
[
i
])
**
2
/
(
2
*
c_s_sq
**
2
)
-
(
u_x
**
2
+
u_y
**
2
)
/
(
2
*
c_s_sq
)
)
if
self
.
eq_order
>=
3
:
feq_formula
+=
weights
[
i
]
*
density
[
0
,
0
]
*
(
-
1
/
(
2
*
c_s_sq
**
2
)
*
(
u_x
*
c_ix
[
i
]
+
u_y
*
c_iy
[
i
])
*
(
u_x
**
2
+
u_y
**
2
)
+
4
/
3
*
(
1
/
(
2
*
c_s_sq
))
**
3
*
(
u_x
*
c_ix
[
i
]
+
u_y
*
c_iy
[
i
])
**
3
feq_formula
+=
weights
[
i
]
*
density
*
(
-
1
/
(
2
*
c_s_sq
**
2
)
*
(
u_x
*
c_ix
[
i
]
+
u_y
*
c_iy
[
i
])
*
(
u_x
**
2
+
u_y
**
2
)
+
4
/
3
*
(
1
/
(
2
*
c_s_sq
))
**
3
*
(
u_x
*
c_ix
[
i
]
+
u_y
*
c_iy
[
i
])
**
3
)
if
self
.
eq_order
>=
4
:
feq_formula
+=
weights
[
i
]
*
density
[
0
,
0
]
*
\
feq_formula
+=
weights
[
i
]
*
density
*
\
(
1
/
(
6
*
c_s_sq
**
2
)
*
(
(
u_x
*
c_ix
[
i
]
+
u_y
*
c_iy
[
i
])
**
4
/
(
4
*
c_s_sq
**
2
)
-
(
3
*
(
u_x
**
2
+
u_y
**
2
)
*
(
u_x
*
c_ix
[
i
]
+
u_y
*
c_iy
[
i
])
**
2
)
/
(
2
*
c_s_sq
)
+
3
*
(
u_x
**
4
+
u_y
**
4
)))
3
*
(
u_x
**
2
+
u_y
**
2
)
*
(
u_x
*
c_ix
[
i
]
+
u_y
*
c_iy
[
i
])
**
2
)
/
(
2
*
c_s_sq
)
+
3
*
(
u_x
**
4
+
u_y
**
4
)))
symbolic_description
.
append
(
ps
.
Assignment
(
dst
[
-
1
*
c_iy
[
i
],
c_ix
[
i
]
](
i
),
omega
*
feq_formula
+
(
1
-
omega
)
*
src
[
0
,
0
](
i
))
ps
.
Assignment
(
dst
[
0
,
0
](
i
),
omega
*
feq_formula
+
(
1
-
omega
)
*
dst
[
0
,
0
](
i
))
)
return
ps
.
AssignmentCollection
(
symbolic_description
)
...
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