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import numpy
import time
from string import Template
from simulation import Lattice, Geometry
from symbolic.generator import LBM
import symbolic.D3Q19 as D3Q19
import symbolic.D3Q27 as D3Q27
import itertools
lid_speed = 0.1
relaxation_time = 0.52
def MLUPS(cells, steps, time):
return cells * steps / time * 1e-6
def cavity(geometry, x, y, z):
if x == 1 or y == 1 or z == 1 or x == geometry.size_x-2 or y == geometry.size_y-2:
return 2
elif z == geometry.size_z-2:
return 3
else:
return 1
boundary = Template("""
if ( m == 2 ) {
u_0 = 0.0;
u_1 = 0.0;
u_2 = 0.0;
}
if ( m == 3 ) {
u_0 = $lid_speed;
u_1 = 0.0;
u_2 = 0.0;
}
""").substitute({
'lid_speed': lid_speed
})
sizes = [16, 32, 48, 64, 96]
layouts = [
( 16, 1, 1),
( 24, 1, 1),
( 32, 1, 1),
( 48, 1, 1),
( 64, 1, 1),
( 96, 1, 1)
]
descriptors = [ D3Q19, D3Q27 ]
precisions = [ 'single', 'double' ]
configs = list(filter(
lambda config: config[0] % config[1][0] == 0 and config[0] % config[1][1] == 0,
itertools.product(*[sizes, layouts, descriptors, precisions, [True, False]])
))
measurements = []
for size, layout, descriptor, precision, opti in configs:
lbm = LBM(descriptor)
lattice = Lattice(
descriptor = descriptor,
geometry = Geometry(size, size, size),
precision = precision,
layout = layout,
moments = lbm.moments(optimize = opti),
collide = lbm.bgk(f_eq = lbm.equilibrium(), tau = relaxation_time, optimize = opti),
boundary_src = boundary)
lattice.setup_geometry(cavity)
nUpdates = 1000
nStat = 100
stats = []
lastStat = time.time()
for i in range(1,nUpdates+1):
lattice.evolve()
if i % nStat == 0:
lattice.sync()
mlups = round(MLUPS(lattice.geometry.volume, nStat, time.time() - lastStat))
stats.append(mlups)
lastStat = time.time()
print('%s: ~%d MLUPS' % ((size, layout, descriptor.__name__, precision, opti), numpy.average(stats)))
measurements.append(((size, layout, descriptor.__name__, precision, opti), stats))
del lattice, lbm
with open('result/ldc_3d_benchmark.data', 'w') as f:
f.write(str(measurements))
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