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-rw-r--r--codegen_lbm.py55
-rw-r--r--lbm_d2q9.py37
2 files changed, 48 insertions, 44 deletions
diff --git a/codegen_lbm.py b/codegen_lbm.py
index ba2f0ba..7bf7481 100644
--- a/codegen_lbm.py
+++ b/codegen_lbm.py
@@ -8,45 +8,11 @@ import matplotlib
import matplotlib.pyplot as plt
matplotlib.use('AGG')
-from sympy import *
-from sympy.codegen.ast import Assignment
+import sympy
+import lbm_d2q9 as D2Q9
from mako.template import Template
-q = 9
-d = 2
-
-c = [ Matrix(x) for x in [(-1, 1), ( 0, 1), ( 1, 1), (-1, 0), ( 0, 0), ( 1, 0), (-1,-1), ( 0, -1), ( 1, -1)] ]
-w = [ Rational(*x) for x in [(1,36), (1,9), (1,36), (1,9), (4,9), (1,9), (1,36), (1,9), (1,36)] ]
-
-c_s = sqrt(Rational(1,3))
-
-rho, tau = symbols('rho tau')
-
-f_next = symarray('f_next', q)
-f_curr = symarray('f_curr', q)
-
-u = Matrix(symarray('u', d))
-
-moments = [ Assignment(rho, sum(f_curr)) ]
-
-for i, u_i in enumerate(u):
- moments.append(Assignment(u_i, sum([ (c_j*f_curr[j])[i] for j, c_j in enumerate(c) ]) / sum(f_curr)))
-
-moments_opt = cse(moments, optimizations='basic', symbols=numbered_symbols(prefix='m'))
-
-f_eq = []
-
-for i, c_i in enumerate(c):
- f_eq_i = w[i] * rho * ( 1
- + c_i.dot(u) / c_s**2
- + c_i.dot(u)**2 / (2*c_s**4)
- - u.dot(u) / (2*c_s**2) )
- f_eq.append(f_eq_i)
-
-collide = [ Assignment(f_next[i], f_curr[i] + 1/tau * ( f_eq_i - f_curr[i] )) for i, f_eq_i in enumerate(f_eq) ]
-collide_opt = cse(collide, optimizations='basic')
-
kernel = """
__constant float tau = ${tau};
@@ -193,18 +159,19 @@ class D2Q9_BGK_Lattice:
self.np_pop_b[:,self.idx(x,y)] = 1./24.
def build_kernel(self):
- self.program = cl.Program(self.context, Template(kernel).render(
+ program_src = Template(kernel).render(
nX = self.nX,
nY = self.nY,
nCells = self.nCells,
tau = '0.8f',
- moments_helper = moments_opt[0],
- moments_assignment = moments_opt[1],
- collide_helper = collide_opt[0],
- collide_assignment = collide_opt[1],
- c = c,
- ccode = ccode
- )).build()
+ moments_helper = D2Q9.moments_opt[0],
+ moments_assignment = D2Q9.moments_opt[1],
+ collide_helper = D2Q9.collide_opt[0],
+ collide_assignment = D2Q9.collide_opt[1],
+ c = D2Q9.c,
+ ccode = sympy.ccode
+ )
+ self.program = cl.Program(self.context, program_src).build()
def collect_moments(self):
if self.tick:
diff --git a/lbm_d2q9.py b/lbm_d2q9.py
new file mode 100644
index 0000000..a3c2503
--- /dev/null
+++ b/lbm_d2q9.py
@@ -0,0 +1,37 @@
+from sympy import *
+from sympy.codegen.ast import Assignment
+
+q = 9
+d = 2
+
+c = [ Matrix(x) for x in [(-1, 1), ( 0, 1), ( 1, 1), (-1, 0), ( 0, 0), ( 1, 0), (-1,-1), ( 0, -1), ( 1, -1)] ]
+w = [ Rational(*x) for x in [(1,36), (1,9), (1,36), (1,9), (4,9), (1,9), (1,36), (1,9), (1,36)] ]
+
+c_s = sqrt(Rational(1,3))
+
+rho, tau = symbols('rho tau')
+
+f_next = symarray('f_next', q)
+f_curr = symarray('f_curr', q)
+
+u = Matrix(symarray('u', d))
+
+moments = [ Assignment(rho, sum(f_curr)) ]
+
+for i, u_i in enumerate(u):
+ moments.append(Assignment(u_i, sum([ (c_j*f_curr[j])[i] for j, c_j in enumerate(c) ]) / sum(f_curr)))
+
+moments_opt = cse(moments, optimizations='basic', symbols=numbered_symbols(prefix='m'))
+
+f_eq = []
+
+for i, c_i in enumerate(c):
+ f_eq_i = w[i] * rho * ( 1
+ + c_i.dot(u) / c_s**2
+ + c_i.dot(u)**2 / (2*c_s**4)
+ - u.dot(u) / (2*c_s**2) )
+ f_eq.append(f_eq_i)
+
+collide = [ Assignment(f_next[i], f_curr[i] + 1/tau * ( f_eq_i - f_curr[i] )) for i, f_eq_i in enumerate(f_eq) ]
+
+collide_opt = cse(collide, optimizations='basic')