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import numpy
import time
import matplotlib
import matplotlib.pyplot as plt
matplotlib.use('AGG')
from D2Q9 import Lattice
def MLUPS(cells, steps, time):
return cells * steps / time * 1e-6
def generate_moment_plots(lattice, moments):
for i, m in enumerate(moments):
print("Generating plot %d of %d." % (i+1, len(moments)))
density = numpy.ndarray(shape=(lattice.nY-2, lattice.nX-2))
for y in range(1,lattice.nY-1):
for x in range(1,lattice.nX-1):
density[y-1,x-1] = m[0,lattice.idx(x,y)]
plt.figure(figsize=(10, 10))
plt.imshow(density, origin='lower', vmin=0.2, vmax=2.0, cmap=plt.get_cmap('seismic'))
plt.savefig("result/density_" + str(i) + ".png", bbox_inches='tight', pad_inches=0)
def box(nX, nY, x, y):
if x == 1 or y == 1 or x == nX-2 or y == nY-2:
return 2
else:
return 1
pop_eq = """
if ( sqrt(pow(get_global_id(0) - ${nX//2}.f, 2.f) + pow(get_global_id(1) - ${nY//2}.f, 2.f)) < ${nX//10} ) {
% for i, w_i in enumerate(w):
preshifted_f_a[${i*nCells}] = 1./24.f;
preshifted_f_b[${i*nCells}] = 1./24.f;
% endfor
} else {
% for i, w_i in enumerate(w):
preshifted_f_a[${i*nCells}] = ${w_i}.f;
preshifted_f_b[${i*nCells}] = ${w_i}.f;
% endfor
}"""
boundary = """
if ( m == 2 ) {
u_0 = 0.0;
u_1 = 0.0;
}
"""
nUpdates = 2000
nStat = 100
moments = []
print("Initializing simulation...\n")
lattice = Lattice(nX = 1024, nY = 1024, tau = 0.8, geometry = box, pop_eq_src = pop_eq, boundary_src = boundary)
print("Starting simulation using %d cells...\n" % lattice.nCells)
lastStat = time.time()
for i in range(1,nUpdates+1):
lattice.evolve()
if i % nStat == 0:
lattice.sync()
print("i = %4d; %3.0f MLUPS" % (i, MLUPS(lattice.nCells, nStat, time.time() - lastStat)))
moments.append(lattice.get_moments())
lastStat = time.time()
print("\nConcluded simulation.\n")
generate_moment_plots(lattice, moments)
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