#! /usr/bin/env python import numpy as np import matplotlib.pyplot as plt import time, sys from IPython.core.display import clear_output nx = 141 # num dx = 2./(nx -1) # grid spacing nt = 25 # number of time steps dt = 0.005 # time step c = 1.0 # wave speed # Set up the inital conditions u = np.ones(nx) u[.5/dx:1/dx+1]=2 print u plt.plot(np.linspace(0,2,nx),u) un = np.ones(nx) for n in range(nt): un[:] = u[:] for i in range(1,nx): u[i] = un[i]-un[i]*dt/dx*(un[i]-un[i-1]) plt.plot(np.linspace(0,2,nx),u) plt.show()
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