Add another 3d example

1 files changed, 326 insertions, 0 deletions

diff --git a/channel_3d_gl_interop.py b/channel_3d_gl_interop.py
new file mode 100644
index 0000000..7e7195a
--- /dev/null
+++ b/channel_3d_gl_interop.py
@@ -0,0 +1,326 @@
+import numpy
+from string import Template
+
+from simulation         import Lattice, Geometry
+from utility.particles  import Particles
+from symbolic.generator import LBM
+
+import symbolic.D3Q27 as D3Q27
+
+from OpenGL.GL   import *
+from OpenGL.GLUT import *
+
+from OpenGL.GL import shaders
+
+from pyrr import matrix44, quaternion
+
+lattice_x = 256
+lattice_y = 64
+lattice_z = 64
+
+sphere_r = 10
+
+updates_per_frame = 10
+particle_count = 50000
+
+lid_speed = 0.05
+relaxation_time = 0.51
+
+def circle(cx, cy, cz, r):
+    return lambda x, y, z: (x - cx)**2 + (y - cy)**2 + (z - cz)**2 < r*r
+
+def cylinder(cx, cz, r):
+    return lambda x, y, z: (x - cx)**2 + (z - cz)**2 < r*r
+
+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 x == geometry.size_x-2 or
+                         y == 1 or y == geometry.size_y-2 or
+                         z == 1 or z == geometry.size_z-2,           2), # walls
+        (lambda x, y, z: x == 1,                                     3), # inflow
+        (lambda x, y, z: x == geometry.size_x-2,                     4), # outflow
+        (cylinder(geometry.size_x//6, geometry.size_z//2, sphere_r), 5), # obstacle
+        (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 || m == 5 ) {
+        u_0 = 0.0;
+        u_1 = 0.0;
+        u_2 = 0.0;
+    }
+    if ( m == 3 ) {
+        u_0 = min(time/5000.0 * $inflow, $inflow);
+        u_1 = 0.0;
+        u_2 = 0.0;
+    }
+    if ( m == 4 ) {
+        rho = 1.0;
+    }
+""").substitute({
+    "inflow": lid_speed
+})
+
+def get_projection(width, height):
+    world_width = lattice_x
+    world_height = world_width / width * height
+
+    projection = matrix44.create_perspective_projection(20.0, width/height, 0.1, 1000.0)
+    look = matrix44.create_look_at(
+        eye    = [0, -2*lattice_x, 0],
+        target = [0, 0, 0],
+        up     = [0, 0, -1])
+
+    point_size = 1
+
+    return numpy.matmul(look, projection), point_size
+
+class Rotation:
+    def __init__(self, shift, x = numpy.pi, z = numpy.pi):
+        self.shift = shift
+        self.rotation_x = x
+        self.rotation_z = z
+
+    def update(self, x, z):
+        self.rotation_x += x
+        self.rotation_z += z
+
+    def get(self):
+        qx = quaternion.Quaternion(quaternion.create_from_eulers([self.rotation_x,0,0]))
+        qz = quaternion.Quaternion(quaternion.create_from_eulers([0,0,self.rotation_z]))
+        rotation = qz.cross(qx)
+        return numpy.matmul(
+            matrix44.create_from_translation(self.shift),
+            matrix44.create_from_quaternion(rotation)
+        )
+
+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(D3Q27)
+
+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;
+
+void main(){
+    gl_FragColor = vec4(color.xyz, 0.0);
+}""", GL_FRAGMENT_SHADER)
+
+particle_program = shaders.compileProgram(particle_shader, fragment_shader)
+projection_id = shaders.glGetUniformLocation(particle_program, 'projection')
+rotation_id   = shaders.glGetUniformLocation(particle_program, 'rotation')
+
+geometry_program = shaders.compileProgram(vertex_shader, fragment_shader)
+
+lattice = Lattice(
+    descriptor   = D3Q27,
+    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.context,
+    lattice.queue,
+    lattice.memory.float_type,
+    numpy.mgrid[
+        2*lattice.geometry.size_x//100:4*lattice.geometry.size_x//100:particle_count/10000j,
+        lattice.geometry.size_y//10:9*lattice.geometry.size_y//10:100j,
+        lattice.geometry.size_z//10:9*lattice.geometry.size_z//10:100j,
+    ].reshape(3,-1).T)
+
+rotation = Rotation([-lattice_x/2, -lattice_y/2, -lattice_z/2])
+
+cube_vertices, cube_edges = lattice.geometry.wireframe()
+
+def draw_sphere(cx, cy, cz, r, lats, longs):
+    for i in range(0,lats+1):
+        lat0 = numpy.pi * (-0.5 + (i - 1) / lats)
+        z0   = numpy.sin(lat0)
+        zr0  =  numpy.cos(lat0)
+
+        lat1 = numpy.pi * (-0.5 + i / lats)
+        z1   = numpy.sin(lat1)
+        zr1  = numpy.cos(lat1)
+
+        glBegin(GL_QUAD_STRIP)
+        for j in range(0,longs+1):
+            lng = 2 * numpy.pi * (j - 1) / longs
+            x = numpy.cos(lng)
+            y = numpy.sin(lng)
+
+            glNormal3f(cx + x * zr0    , cy + y * zr0    , cz + z0)
+            glVertex3f(cx + r * x * zr0, cy + r * y * zr0, cz + r * z0)
+            glNormal3f(cx + x * zr1    , cy + y * zr1    , cz + z1)
+            glVertex3f(cx + r * x * zr1, cy + r * y * zr1, cz + r * z1)
+
+        glEnd()
+
+def draw_cylinder(cx, cz, height, radius, num_slices):
+    r = radius
+    h = height
+    n = float(num_slices)
+
+    circle_pts = []
+    for i in range(int(n) + 1):
+        angle = 2 * numpy.pi * (i/n)
+        x = cx + r * numpy.cos(angle)
+        z = cz + r * numpy.sin(angle)
+        pt = (x, z)
+        circle_pts.append(pt)
+
+    glBegin(GL_TRIANGLE_FAN)
+    glVertex(cx, 0, cz)
+    for (x, z) in circle_pts:
+        y = 0
+        glVertex(x, y, z)
+    glEnd()
+
+    glBegin(GL_TRIANGLE_FAN)
+    glVertex(cx, h, cz)
+    for (x, z) in circle_pts:
+        y = h
+        glVertex(x, y, z)
+    glEnd()
+
+    glBegin(GL_TRIANGLE_STRIP)
+    for (x, z) in circle_pts:
+        y = h
+        glVertex(x, 0, z)
+        glVertex(x, h, z)
+    glEnd()
+
+def on_display():
+    for i in range(0,updates_per_frame):
+        lattice.evolve()
+
+    lattice.collect_gl_moments()
+
+    for i in range(0,updates_per_frame):
+        lattice.update_gl_particles(particles, aging = True)
+
+    lattice.sync()
+
+    glClear(GL_COLOR_BUFFER_BIT)
+    glEnableClientState(GL_VERTEX_ARRAY)
+    particles.gl_particles.bind()
+
+    shaders.glUseProgram(particle_program)
+    glUniformMatrix4fv(projection_id, 1, False, numpy.ascontiguousarray(projection))
+    glUniformMatrix4fv(rotation_id, 1, False, numpy.ascontiguousarray(rotation.get()))
+    glVertexPointer(4, GL_FLOAT, 0, particles.gl_particles)
+    glEnable(GL_POINT_SMOOTH)
+    glPointSize(point_size)
+    glDrawArrays(GL_POINTS, 0, particles.count)
+
+    shaders.glUseProgram(geometry_program)
+    glUniformMatrix4fv(projection_id, 1, False, numpy.ascontiguousarray(projection))
+    glUniformMatrix4fv(rotation_id, 1, False, numpy.ascontiguousarray(rotation.get()))
+    glPolygonMode(GL_FRONT_AND_BACK, GL_LINE)
+    glLineWidth(2*point_size)
+    glBegin(GL_LINES)
+    for i, j in cube_edges:
+        glVertex3fv(cube_vertices[i])
+        glVertex3fv(cube_vertices[j])
+    glEnd()
+
+    draw_cylinder(lattice.geometry.size_x//6, lattice.geometry.size_z//2, lattice.geometry.size_y, sphere_r, 32)
+
+    glutSwapBuffers()
+
+def on_reshape(width, height):
+    global projection, point_size
+    glViewport(0,0,width,height)
+    projection, point_size = get_projection(width, height)
+
+def on_keyboard(key, x, y):
+    global rotation
+
+    x = {
+        b'w': -numpy.pi/10,
+        b's':  numpy.pi/10
+    }.get(key, 0.0)
+    z = {
+        b'a':  numpy.pi/10,
+        b'd': -numpy.pi/10
+    }.get(key, 0.0)
+
+    rotation.update(x,z)
+
+def on_timer(t):
+    glutTimerFunc(t, on_timer, t)
+    glutPostRedisplay()
+
+glutDisplayFunc(on_display)
+glutReshapeFunc(on_reshape)
+glutKeyboardFunc(on_keyboard)
+glutTimerFunc(10, on_timer, 10)
+
+glutMainLoop()