import pyopencl as cl mf = cl.mem_flags import numpy import time import matplotlib import matplotlib.pyplot as plt matplotlib.use('AGG') import sympy import lbm_d2q9 as D2Q9 from mako.template import Template class D2Q9_BGK_Lattice: def idx(self, x, y): return y * self.nX + x; def __init__(self, nX, nY, tau, geometry): self.nX = nX self.nY = nY self.nCells = nX * nY self.tau = tau self.tick = True self.platform = cl.get_platforms()[0] self.context = cl.Context(properties=[(cl.context_properties.PLATFORM, self.platform)]) self.queue = cl.CommandQueue(self.context) self.np_material = numpy.ndarray(shape=(self.nCells, 1), dtype=numpy.int32) self.setup_geometry(geometry) self.cl_pop_a = cl.Buffer(self.context, mf.READ_WRITE, size=9*self.nCells*numpy.float32(0).nbytes) self.cl_pop_b = cl.Buffer(self.context, mf.READ_WRITE, size=9*self.nCells*numpy.float32(0).nbytes) self.cl_moments = cl.Buffer(self.context, mf.WRITE_ONLY, size=3*self.nCells*numpy.float32(0).nbytes) self.cl_material = cl.Buffer(self.context, mf.READ_ONLY | mf.USE_HOST_PTR, hostbuf=self.np_material) self.build_kernel() self.program.equilibrilize(self.queue, (self.nX,self.nY), (32,1), self.cl_pop_a, self.cl_pop_b).wait() def setup_geometry(self, geometry): for y in range(1,self.nY-1): for x in range(1,self.nX-1): self.np_material[self.idx(x,y)] = geometry(self.nX,self.nY,x,y) def build_kernel(self): program_src = Template(filename = './template/kernel.mako').render( nX = self.nX, nY = self.nY, nCells = self.nCells, tau = self.tau, 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, w = D2Q9.w, ccode = sympy.ccode ) self.program = cl.Program(self.context, program_src).build() def evolve(self): if self.tick: self.tick = False self.program.collide_and_stream(self.queue, (self.nX,self.nY), (32,1), self.cl_pop_a, self.cl_pop_b, self.cl_material) else: self.tick = True self.program.collide_and_stream(self.queue, (self.nX,self.nY), (32,1), self.cl_pop_b, self.cl_pop_a, self.cl_material) def sync(self): self.queue.finish() def get_moments(self): moments = numpy.ndarray(shape=(3, self.nCells), dtype=numpy.float32) if self.tick: self.program.collect_moments(self.queue, (self.nX,self.nY), (32,1), self.cl_pop_b, self.cl_moments) else: self.program.collect_moments(self.queue, (self.nX,self.nY), (32,1), self.cl_pop_a, self.cl_moments) cl.enqueue_copy(LBM.queue, moments, LBM.cl_moments).wait(); return moments 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 nUpdates = 1000 nStat = 100 moments = [] print("Initializing simulation...\n") LBM = D2Q9_BGK_Lattice(nX = 1024, nY = 1024, tau = 0.8, geometry = box) print("Starting simulation using %d cells...\n" % LBM.nCells) lastStat = time.time() for i in range(1,nUpdates+1): LBM.evolve() if i % nStat == 0: LBM.sync() print("i = %4d; %3.0f MLUPS" % (i, MLUPS(LBM.nCells, nStat, time.time() - lastStat))) moments.append(LBM.get_moments()) lastStat = time.time() print("\nConcluded simulation.\n") generate_moment_plots(LBM, moments)