1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
|
import numpy
import time
from string import Template
import pyopencl as cl
from pyopencl.tools import get_gl_sharing_context_properties
from boltzgen import Generator, Geometry
from boltzgen.lbm.lattice import D2Q9
from boltzgen.lbm.model import BGK
from common import CellList
from OpenGL.GL import *
from OpenGL.GLUT import *
from OpenGL.GL import shaders
from pyrr import matrix44
geometry = Geometry(512, 512)
precision = 'single'
streaming = 'AA'
functions = ['collide_and_stream', 'equilibrilize', 'collect_moments', 'momenta_boundary']
extras = ['cell_list_dispatch', 'opencl_gl_interop']
if streaming == 'SSS':
functions = functions + ['update_sss_control_structure']
import AA
import AB
import SSS
def glut_window(fullscreen = False):
glutInit(sys.argv)
glutInitDisplayMode(GLUT_RGBA | GLUT_DOUBLE | GLUT_DEPTH)
if fullscreen:
window = glutEnterGameMode()
else:
glutInitWindowSize(800, 500)
glutInitWindowPosition(0, 0)
window = glutCreateWindow("LDC 2D")
return window
window = glut_window(fullscreen = False)
Lattice = eval('%s.Lattice' % streaming)
MomentsTexture = eval('%s.MomentsTexture' % streaming)
generator = Generator(
model = BGK(D2Q9, tau = 0.53),
target = 'cl',
precision = precision,
streaming = streaming,
index = 'ZYX',
layout = 'SOA')
kernel_src = generator.kernel(geometry, functions, extras)
cl_platform = cl.get_platforms()[0]
cl_context = cl.Context(properties=[(cl.context_properties.PLATFORM, cl_platform)] + get_gl_sharing_context_properties())
cl_queue = cl.CommandQueue(cl_context)
lattice = Lattice(geometry, kernel_src, D2Q9, cl_context, cl_queue, precision = precision)
moments = MomentsTexture(lattice)
gid = lattice.memory.gid
ghost_cells = CellList(lattice.context, lattice.queue, lattice.float_type,
[ gid(x,y) for x, y in geometry.cells() if x == 0 or y == 0 or x == geometry.size_x-1 or y == geometry.size_y-1 ])
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 ])
if streaming == 'SSS':
lattice.schedule('equilibrilize', ghost_cells)
if streaming in ['AB', 'SSS']:
lattice.schedule('collide_and_stream', bulk_cells)
lattice.schedule('velocity_momenta_boundary', wall_cells, numpy.array([0.0, 0.0], dtype=lattice.float_type[0]))
lattice.schedule('velocity_momenta_boundary', lid_cells, numpy.array([0.1, 0.0], dtype=lattice.float_type[0]))
elif streaming == 'AA':
lattice.schedule_tick('collide_and_stream_tick', bulk_cells)
lattice.schedule_tick('velocity_momenta_boundary_tick', wall_cells, numpy.array([0.0, 0.0], dtype=lattice.float_type[0]))
lattice.schedule_tick('velocity_momenta_boundary_tick', lid_cells, numpy.array([0.1, 0.0], dtype=lattice.float_type[0]))
lattice.schedule_tock('equilibrilize_tick', ghost_cells)
lattice.schedule_tock('collide_and_stream_tock', bulk_cells)
lattice.schedule_tock('velocity_momenta_boundary_tock', wall_cells, numpy.array([0.0, 0.0], dtype=lattice.float_type[0]))
lattice.schedule_tock('velocity_momenta_boundary_tock', lid_cells, numpy.array([0.1, 0.0], dtype=lattice.float_type[0]))
def get_projection(width, height):
world_height = geometry.size_y
world_width = world_height / height * width
projection = matrix44.create_orthogonal_projection(-world_width/2, world_width/2, -world_height/2, world_height/2, -1, 1)
translation = matrix44.create_from_translation([-geometry.size_x/2, -geometry.size_y/2, 0])
point_size = width / world_width
return numpy.matmul(translation, projection), point_size
vertex_shader = shaders.compileShader("""
#version 430
layout (location=0) in vec4 vertex;
out vec2 frag_pos;
uniform mat4 projection;
void main() {
gl_Position = projection * vertex;
frag_pos = vertex.xy;
}""", GL_VERTEX_SHADER)
fragment_shader = shaders.compileShader(Template("""
#version 430
in vec2 frag_pos;
uniform sampler2D moments;
out vec4 result;
vec2 unit(vec2 v) {
return vec2(v[0] / $size_x, v[1] / $size_y);
}
vec3 blueRedPalette(float x) {
return mix(
vec3(0.0, 0.0, 1.0),
vec3(1.0, 0.0, 0.0),
x
);
}
void main(){
const vec2 sample_pos = unit(frag_pos);
const vec4 data = texture(moments, sample_pos);
result.a = 1.0;
result.rgb = blueRedPalette(data[3] / 0.1);
}
""").substitute({
"size_x": geometry.size_x,
"size_y": geometry.size_y,
}), GL_FRAGMENT_SHADER)
shader_program = shaders.compileProgram(vertex_shader, fragment_shader)
projection_id = shaders.glGetUniformLocation(shader_program, 'projection')
def on_display():
for i in range(0,100):
lattice.evolve()
moments.collect()
glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT)
shaders.glUseProgram(shader_program)
glUniformMatrix4fv(projection_id, 1, False, numpy.asfortranarray(projection))
moments.bind()
glBegin(GL_POLYGON)
glVertex(0,0,0)
glVertex(lattice.geometry.size_x,0,0)
glVertex(lattice.geometry.size_x,lattice.geometry.size_y,0)
glVertex(0,lattice.geometry.size_y,0)
glEnd()
glutSwapBuffers()
def on_reshape(width, height):
global projection, point_size
glViewport(0,0,width,height)
projection, point_size = get_projection(width, height)
def on_timer(t):
glutTimerFunc(t, on_timer, t)
glutPostRedisplay()
glutDisplayFunc(on_display)
glutReshapeFunc(on_reshape)
glutTimerFunc(10, on_timer, 10)
glutMainLoop()
|