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-rw-r--r--ldc_2d.py94
1 files changed, 94 insertions, 0 deletions
diff --git a/ldc_2d.py b/ldc_2d.py
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+++ b/ldc_2d.py
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+import numpy
+import time
+from string import Template
+
+import matplotlib
+matplotlib.use('AGG')
+import matplotlib.pyplot as plt
+
+from boltzgen import LBM, Generator, Geometry
+from boltzgen.lbm.model import D2Q9
+
+from simulation import Lattice, CellList
+
+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)))
+
+ velocity = numpy.ndarray(shape=tuple(reversed(lattice.geometry.inner_size())))
+ for x, y in lattice.geometry.inner_cells():
+ velocity[y-1,x-1] = numpy.sqrt(m[1,lattice.memory.gid(x,y)]**2 + m[2,lattice.memory.gid(x,y)]**2)
+
+ plt.figure(figsize=(10, 10))
+ plt.imshow(velocity, origin='lower', cmap=plt.get_cmap('seismic'))
+ plt.savefig("result/ldc_2d_%02d.png" % i, bbox_inches='tight', pad_inches=0)
+
+nUpdates = 100000
+nStat = 5000
+
+geometry = Geometry(512, 512)
+
+print("Generating kernel using boltzgen...\n")
+
+lbm = LBM(D2Q9)
+generator = Generator(
+ descriptor = D2Q9,
+ moments = lbm.moments(),
+ collision = lbm.bgk(f_eq = lbm.equilibrium(), tau = 0.6))
+
+functions = ['collide_and_stream', 'equilibrilize', 'collect_moments', 'momenta_boundary']
+extras = ['cell_list_dispatch']
+
+kernel_src = generator.kernel('cl', 'single', 'SOA', geometry, functions, extras) + Template("""
+__kernel void equilibrilize(__global $float_type* f_next,
+ __global $float_type* f_prev)
+{
+ const unsigned int gid = get_global_id(1)*$size_x + get_global_id(0);
+ equilibrilize_gid(f_next, f_prev, gid);
+}
+
+__kernel void collect_moments(__global $float_type* f,
+ __global $float_type* moments)
+{
+ const unsigned int gid = get_global_id(1)*$size_x + get_global_id(0);
+ collect_moments_gid(f, moments, gid);
+}
+""").substitute(float_type = 'float', size_x = geometry.size_x)
+
+print("Initializing simulation...\n")
+
+lattice = Lattice(geometry, kernel_src)
+gid = lattice.memory.gid
+
+bulk_cells = CellList(lattice.context, lattice.queue, lattice.float_type,
+ [ gid(x,y) for x, y in geometry.inner_cells() if x > 1 and x < geometry.size_x-2 and y > 1 and y < geometry.size_y-2 ])
+wall_cells = CellList(lattice.context, lattice.queue, lattice.float_type,
+ [ gid(x,y) for x, y in geometry.inner_cells() if x == 1 or y == 1 or x == geometry.size_x-2 ])
+lid_cells = CellList(lattice.context, lattice.queue, lattice.float_type,
+ [ gid(x,y) for x, y in geometry.inner_cells() if y == geometry.size_y-2 ])
+
+lattice.schedule('collide_and_stream_cells', bulk_cells)
+lattice.schedule('velocity_momenta_boundary_cells', wall_cells, numpy.array([0.0, 0.0], dtype=lattice.float_type[0]))
+lattice.schedule('velocity_momenta_boundary_cells', lid_cells, numpy.array([0.1, 0.0], dtype=lattice.float_type[0]))
+
+print("Starting simulation using %d cells...\n" % lattice.geometry.volume)
+
+moments = []
+
+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.geometry.volume, nStat, time.time() - lastStat)))
+ moments.append(lattice.get_moments())
+ lastStat = time.time()
+
+print("\nConcluded simulation.\n")
+
+generate_moment_plots(lattice, moments)