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
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
|
import numpy
from string import Template
from simulation import Lattice, Geometry
from utility.particles import Particles
from symbolic.generator import LBM
import symbolic.D3Q19 as D3Q19
from OpenGL.GL import *
from OpenGL.GLUT import *
from OpenGL.GL import shaders
from utility.projection import Projection, Rotation
from utility.mouse import MouseDragMonitor, MouseScrollMonitor
lattice_x = 64
lattice_y = 96
lattice_z = 64
updates_per_frame = 20
particle_count = 50000
lid_speed = 0.1
relaxation_time = 0.515
def get_cavity_material_map(geometry):
return [
(lambda x, y, z: x > 0 and x < geometry.size_x-1 and
y > 0 and y < geometry.size_y-1 and
z > 0 and z < geometry.size_z-1, 1), # bulk fluid
(lambda x, y, z: x == 1 or y == 1 or z == 1 or x == geometry.size_x-2 or y == geometry.size_y-2, 2), # walls
(lambda x, y, z: z == geometry.size_z-2, 3), # lid
(lambda x, y, z: x == 0 or x == geometry.size_x-1 or
y == 0 or y == geometry.size_y-1 or
z == 0 or z == geometry.size_z-1, 0) # ghost cells
]
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
})
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("LBM")
return window
lbm = LBM(D3Q19)
window = glut_window(fullscreen = False)
particle_shader = shaders.compileShader(Template("""
#version 430
layout (location=0) in vec4 particles;
out vec3 color;
uniform mat4 projection;
uniform mat4 rotation;
vec3 fire(float x) {
return mix(
vec3(1.0, 1.0, 0.0),
vec3(1.0, 0.0, 0.0),
x
);
}
void main() {
gl_Position = projection * rotation * vec4(
particles[0],
particles[1],
particles[2],
1.
);
color = fire(1.0-particles[3]);
}""").substitute({}), GL_VERTEX_SHADER)
vertex_shader = shaders.compileShader(Template("""
#version 430
layout (location=0) in vec4 vertex;
out vec3 color;
uniform mat4 projection;
uniform mat4 rotation;
void main() {
gl_Position = projection * rotation * vertex;
color = vec3(1.0,1.0,1.0);
}""").substitute({}), GL_VERTEX_SHADER)
fragment_shader = shaders.compileShader("""
#version 430
in vec3 color;
layout(location = 0) out vec4 frag_color;
void main(){
frag_color = vec4(color.xyz, 0.0);
}""", GL_FRAGMENT_SHADER)
particle_program = shaders.compileProgram(particle_shader, fragment_shader)
particle_projection_id = shaders.glGetUniformLocation(particle_program, 'projection')
particle_rotation_id = shaders.glGetUniformLocation(particle_program, 'rotation')
geometry_program = shaders.compileProgram(vertex_shader, fragment_shader)
geometry_projection_id = shaders.glGetUniformLocation(geometry_program, 'projection')
geometry_rotation_id = shaders.glGetUniformLocation(geometry_program, 'rotation')
lattice = Lattice(
descriptor = D3Q19,
geometry = Geometry(lattice_x, lattice_y, lattice_z),
moments = lbm.moments(optimize = True),
collide = lbm.bgk(f_eq = lbm.equilibrium(), tau = relaxation_time),
boundary_src = boundary,
opengl = True
)
lattice.apply_material_map(
get_cavity_material_map(lattice.geometry))
lattice.sync_material()
particles = Particles(
lattice,
numpy.mgrid[
8*lattice.geometry.size_x//10:9*lattice.geometry.size_x//10:10j,
lattice.geometry.size_y//10:9*lattice.geometry.size_y//10:particle_count/100j,
8*lattice.geometry.size_z//10:9*lattice.geometry.size_z//10:10j,
].reshape(3,-1).T)
projection = Projection(distance = 2*lattice_x)
rotation = Rotation([-lattice_x/2, -lattice_y/2, -lattice_z/2])
cube_vertices, cube_edges = lattice.geometry.wireframe()
def on_display():
for i in range(0,updates_per_frame):
lattice.evolve()
lattice.update_moments()
for i in range(0,updates_per_frame):
particles.update(aging = True)
lattice.sync()
glClear(GL_COLOR_BUFFER_BIT)
shaders.glUseProgram(particle_program)
glUniformMatrix4fv(particle_projection_id, 1, False, numpy.ascontiguousarray(projection.get()))
glUniformMatrix4fv(particle_rotation_id, 1, False, numpy.ascontiguousarray(rotation.get()))
particles.bind()
glEnable(GL_POINT_SMOOTH)
glPointSize(1)
glDrawArrays(GL_POINTS, 0, particles.count)
shaders.glUseProgram(geometry_program)
glUniformMatrix4fv(geometry_projection_id, 1, False, numpy.ascontiguousarray(projection.get()))
glUniformMatrix4fv(geometry_rotation_id, 1, False, numpy.ascontiguousarray(rotation.get()))
glPolygonMode(GL_FRONT_AND_BACK, GL_LINE)
glLineWidth(2)
glBegin(GL_LINES)
for i, j in cube_edges:
glVertex3fv(cube_vertices[i])
glVertex3fv(cube_vertices[j])
glEnd()
glutSwapBuffers()
mouse_monitors = [
MouseDragMonitor(GLUT_LEFT_BUTTON, lambda dx, dy: rotation.update(0.005*dy, 0.005*dx)),
MouseScrollMonitor(lambda zoom: projection.update_distance(5*zoom))
]
def on_timer(t):
glutTimerFunc(t, on_timer, t)
glutPostRedisplay()
glutDisplayFunc(on_display)
glutReshapeFunc(lambda w, h: projection.update_ratio(w, h))
glutMouseFunc(lambda *args: list(map(lambda m: m.on_mouse(*args), mouse_monitors)))
glutMotionFunc(lambda *args: list(map(lambda m: m.on_mouse_move(*args), mouse_monitors)))
glutTimerFunc(10, on_timer, 10)
glutMainLoop()
|
