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 }) base_2_sizes = {16, 32, 48, 64, 96, 128} base_10_sizes = {10, 20, 40, 60, 80, 100} base_2_layouts = { ( 16, 1, 1), ( 32, 1, 1), ( 64, 1, 1), ( 96, 1, 1), ( 128, 1, 1), } base_10_layouts = { ( 10, 1, 1), ( 20, 1, 1), ( 30, 1, 1), ( 50, 1, 1), ( 100, 1, 1) } descriptors = { D3Q19, D3Q27 } precisions = { 'single', 'double' } base_2_configs = list(filter( lambda config: config[0] % config[1][0] == 0, itertools.product(*[base_2_sizes, base_2_layouts, descriptors, precisions, {True, False}, {True}]) )) align_configs = list(filter( lambda config: config[0] % config[1][0] == 0, itertools.product(*[base_10_sizes, base_10_layouts, descriptors, precisions, {True}, {True, False}]) )) pad_configs = list(filter( lambda config: config[0] - config[1][0] >= -28, itertools.product(*[base_10_sizes, base_2_layouts, descriptors, precisions, {True}, {True}]) )) measurements = [] for size, layout, descriptor, precision, opti, align in base_2_configs + align_configs + pad_configs: lbm = LBM(descriptor) lattice = Lattice( descriptor = descriptor, geometry = Geometry(size, size, size), precision = precision, layout = layout, padding = layout, align = align, 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 = 500 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, align), numpy.average(stats))) measurements.append(((size, layout, descriptor.__name__, precision, opti, align), stats)) del lattice, lbm with open('result/ldc_3d_benchmark.data', 'w') as f: f.write(str(measurements))