CFD Online Logo CFD Online URL
www.cfd-online.com
[Sponsors]
Home > Wiki > Non linear wave propagation

Non linear wave propagation

From CFD-Wiki

Revision as of 02:00, 25 December 2005 by Harish gopalan (Talk | contribs)
Jump to: navigation, search

Contents

Problem definition

 \frac{\partial u}{\partial t}+ u \frac{\partial u}{\partial x}=0

Domain

x=[-5,10]

Initial Condition

 u(x,0)=0 ,x <=0
 u(x,0)=1 ,x >0

Boundary condition

u[0]=0

Exact solution

 u(x,t)=0 ,x<=0
 u(x,t)=x/t, 0<x<t
 u(x,t)=1.0 ,\mbox{otherwise}

Numerical method

Results

Nonlinear 1d.png

Reference

My wiki