我刚开始学习如何用Python编码.我有兴趣
>如何复制u [x,t]矩阵.我尝试返回u,这使我出错.
>如果此代码中for循环的位置正确并且可以正常运行.
>最重要的是,如何为该一维波方程制作动画,在其中我可以看到波是如何从高斯演化成并分裂成两个相同高度的波的.
这是我的代码:
import numpy as np
import matplotlib.pyplot as plt
dx=0.1 #space increment
dt=0.05 #time increment
tmin=0.0 #initial time
tmax=2.0 #simulate until
xmin=-5.0 #left bound
xmax=5.0 #right bound...assume packet never reaches boundary
c=1.0 #speed of sound
rsq=(c*dt/dx)**2 #appears in finite diff sol
nx = int((xmax-xmin)/dx) + 1 #number of points on x grid
nt = int((tmax-tmin)/dt) + 2 #number of points on t grid
u = np.zeros((nt,nx)) #solution to WE
#set initial pulse shape
def init_fn(x):
val = np.exp(-(x**2)/0.25)
if val<.001:
return 0.0
else:
return val
for a in range(0,nx):
u[0,a]=init_fn(xmin+a*dx)
u[1,a]=u[0,a]
#simulate dynamics
for t in range(1,nt-1):
for a in range(1,nx-1):
u[t+1,a] = 2*(1-rsq)*u[t,a]-u[t-1,a]+rsq*(u[t,a-1]+u[t,a+1])
# Where is the code that is needed to run the simulation?
我看到一些动画代码对我来说太复杂了.有人可以帮我解决上面提到的问题吗?谢谢!
解决方法:
在文件末尾执行以下操作:
fig = plt.figure()
plts = [] # get ready to populate this list the Line artists to be plotted
plt.hold("off")
for i in range(nt):
p, = plt.plot(u[i,:], 'k') # this is how you'd plot a single line...
plts.append( [p] ) # ... but save the line artist for the animation
ani = animation.ArtistAnimation(fig, plts, interval=50, repeat_delay=3000) # run the animation
ani.save('wave.mp4') # optionally save it to a file
plt.show()
这是mp4的gif: