OK so I can solve the equation but now I am having trouble plotting the
solution! I would like to produce a surface plot with colors defined by
p and animate it. That is plot the value of p at all x and z, over time
(t). My code to get p is below but I really have no idea how to plot
this. Anyone know the best way to go about this?
thanks,
D
-------- Original Message --------
Subject: Re: [Tutor] Solve wave equation
Date: Thu, 23 Feb 2012 15:24:45 +0000
From: David Craig <dcdavem...@gmail.com>
To: tutor@python.org
Hooray it works,
thanks
On 02/23/2012 01:39 PM, Ken Oliver wrote:
Do you really want dt = 1**-4 or would 10**-4 be better
-----Original Message-----
From: David Craig<dcdavem...@gmail.com>
Sent: Feb 23, 2012 7:57 AM
To: tutor@python.org
Subject: [Tutor] Solve wave equation
Hi,
I am trying to write some code that will solve the 2D wave equation by
the finite difference method, but it just returns an array full of zeros
and NaN's. Not sure where I am going wrong, the code is attached so if
could someone point me in the right direction I'd appreciate this.
Thanks
D
.
# 2D Finite Distance Wave Equation.
from pylab import *
from numpy import math
ion()
# Set up variables.
nx = 100
nz = 100
nsteps = 300
c = 3500
dt = 10**-4
h = 1
t = arange(0,nsteps,dt)
# Define source as a spike.
s = zeros(nsteps)
s[1] = 1
s[2] = 2
s[3] = 1
# Position source.
xs = 50
zs = 50
##plot(t,s)
##show()
# Set up pressure field.
p=empty([nx,nz,nsteps])
for t in range(0,nsteps-1):
for z in range(0,nz-1):
for x in range(0,nx-1):
p[x,z,t] = 0
# Solve wave equation
for t in range(2,nsteps-1):
for z in range(1,nz-1):
for x in range(2,nx-1):
p[xs,zs,t] = s[t]
k = (c*dt/h)**2
p[x,z,t] = 2*p[x,z,t-1] - p[x,z,t-2] +
k*(p[x+1,z,t-1]-4*p[x,z,t-1]+p[x-1,z,t-1]+p[x,z+1,t-1]+p[x,z-1,t-1])
#Plot somehow
draw()
#close()
_______________________________________________
Tutor maillist - Tutor@python.org
To unsubscribe or change subscription options:
http://mail.python.org/mailman/listinfo/tutor
