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run.py
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import os
import pickle
import numpy as np
from numba import jit, prange
from tqdm import tqdm
import yaml
from easydict import EasyDict as edict
class Particles():
def __init__(self):
init_pos = []
init_vel = []
scale = 0.004
dx = (0.00020543/600) ** (1/3) / scale * 0.95
x_range = [0.0 + dx, 10.0 - dx]
y_range = [0.0 + dx, 20.0 - dx]
z_range = [-10.0 + dx, 10.0 - dx]
for iz in np.arange(z_range[0], z_range[1], dx):
for ix in np.arange(x_range[0], x_range[1], dx):
for iy in np.arange(y_range[0], y_range[1], dx):
px = ix * scale
py = iy * scale
pz = iz * scale
init_pos.append([px, py, pz])
init_vel.append([0.0, 0.0, 0.0])
self.pos = np.array(init_pos)
self.vel = np.array(init_vel)
def __len__(self):
return len(self.pos)
@jit('Tuple((f8[:], f8[:]))(f8[:,:], f8, f8, f8, f8, f8)', nopython=True, parallel=True)
def calc_density_pressure(pos, smoothlen, coef_density, rhop0, gamma, B):
h_sq = smoothlen * smoothlen
particles_irho = np.empty(len(pos))
particles_press = np.empty(len(pos))
for i in prange(len(pos)):
rho = 0.0
for j in range(len(pos)):
if i == j:
continue
r_sq = np.sum(np.square(pos[i] - pos[j]))
if h_sq > r_sq:
rho += (h_sq - r_sq) ** 3.0
particles_irho[i] = 1.0 / (rho * coef_density)
particles_press[i] = B * (np.power(rho * coef_density / rhop0, gamma) - 1.0)
if particles_press[i] < 0.0:
particles_press[i] = 0.0
return particles_irho, particles_press
@jit('f8[:,:](f8[:,:], f8[:,:], f8[:], f8[:], f8, f8, f8, f8)', nopython=True, parallel=True)
def calc_accel(pos, vel, idensity, press, smoothlen, coef_pressure, coef_viscosity, mu):
h = smoothlen
accel = np.zeros((len(pos), 3))
for i in prange(len(pos)):
for j in range(len(pos)):
if i == j:
continue
dr = pos[j] - pos[i]
r = np.sqrt(np.sum(np.square(dr)))
if h > r:
c = h - r
pterm = coef_pressure * (press[i] + press[j]) / 2 * c ** 2 / r
vterm = coef_viscosity * mu * c
fcurr = pterm * dr + vterm * (vel[j] - vel[i])
fcurr *= idensity[i] * idensity[j]
accel[i] += fcurr
return accel
class FluidSolver():
def __init__(self, cfg):
self.set_config(cfg)
self.particles = Particles()
def set_config(self, cfg):
# カーネル係数
cfg.coef_density = cfg.particle_mass * 315.0 / (64.0 * np.pi * np.power(cfg.smoothlen, 9))
cfg.coef_pressure = cfg.particle_mass * (-45.0) / (np.pi * np.power(cfg.smoothlen, 6))
cfg.coef_viscosity = cfg.particle_mass * 45.0 / (np.pi * np.power(cfg.smoothlen, 6))
# 圧力項係数
if cfg.hswl == 0:
cfg.B = 200
else:
cfg.coefsound = 20
cfg.cs = cfg.coefsound * np.sqrt(9.8 * cfg.hswl)
cfg.B = cfg.cs ** 2 * cfg.rhop0 / cfg.gamma
# 重力
cfg.gravity = np.array(cfg.gravity)
self.cfg = cfg
def print(self, text):
if self.cfg.verbose > 0:
print(text)
def compute_step(self):
h = self.cfg.smoothlen
h_sq = self.cfg.smoothlen ** 2
n_particle = len(self.particles)
self.print("calc density and press")
idensity, press = calc_density_pressure(self.particles.pos, self.cfg.smoothlen, self.cfg.coef_density, self.cfg.rhop0, self.cfg.gamma, self.cfg.B)
print("x:", self.particles.pos[0])
print("v:", self.particles.vel[0])
print("d:", 1/idensity[0])
print("p:", press[0])
self.print("calc press and viscosity")
accel = calc_accel(self.particles.pos, self.particles.vel, idensity, press, self.cfg.smoothlen, self.cfg.coef_pressure, self.cfg.coef_viscosity, self.cfg.mu)
self.particles.accel = accel
print("a:", self.particles.accel[0])
def integrate(self):
self.print("update_particle")
accel = self.particles.accel
speed = np.sum(np.square(accel), axis=1, keepdims=True)
condition = np.broadcast_to(speed > self.cfg.limit**2, accel.shape)
accel = np.where(condition, accel*self.cfg.limit/np.sqrt(speed), accel)
h = self.cfg.smoothlen
# 壁境界
scale = 0.004
xlim = [0.0, 20.0 * scale]
ylim = [0.0, 50.0 * scale]
zlim = [-10.0 * scale, 10.0 * scale]
for i, lim in zip([0,1,2], [xlim, ylim, zlim]):
diff = 2.0 * self.cfg.radius - (self.particles.pos[:,i] - lim[0])
adj = self.cfg.wall * diff - self.cfg.damp * self.particles.vel[:,i]
accel[:,i] += np.where(diff > 0, adj, 0.0)
diff = 2.0 * self.cfg.radius - (lim[1] - self.particles.pos[:,i])
adj = self.cfg.wall * diff + self.cfg.damp * self.particles.vel[:,i]
accel[:,i] -= np.where(diff > 0, adj, 0.0)
# 重力の加算
accel += self.cfg.gravity
self.particles.vel += self.cfg.time_step * accel
#self.print(f"v: {self.particles.vel[0]}")
print(f"v: {self.particles.vel[0]}")
self.particles.pos += self.cfg.time_step * self.particles.vel
def run(self):
out_dir = "results"
os.makedirs(out_dir, exist_ok=True)
#for t in tqdm(range(self.cfg.n_time), ncols=45):
for t in range(self.cfg.n_time):
print("-------------", t, "------------")
self.compute_step()
self.integrate()
save(self.particles.pos, f"{out_dir}/{t}.p")
def save(data, filename):
with open(filename, "wb") as file:
pickle.dump(data, file)
def mkmove(n_time):
import matplotlib
matplotlib.use("Agg")
import matplotlib.pyplot as plt
import matplotlib.animation as animation
fig = plt.figure()
ims = []
for t in range(n_time):
with open(f"results/{t}.p", "rb") as file:
data = pickle.load(file)
im = plt.plot(data[:,0], data[:,1], ".", c="blue")
#lim = 0.1
#plt.xlim(-lim, lim)
#plt.ylim(-lim, lim)
ims.append(im)
ani = animation.ArtistAnimation(fig, ims, interval=100)
ani.save("tmp.mp4", writer="ffmpeg")
def main():
with open("config.yml") as f:
cfg = edict(yaml.safe_load(f))
fs = FluidSolver(cfg)
print(f'n_particles:{len(fs.particles)}')
fs.run()
mkmove(cfg.n_time)
if __name__ == "__main__":
main()