# Non linear wave propagation

### From CFD-Wiki

(Difference between revisions)

Line 1: | Line 1: | ||

== Problem definition == | == Problem definition == | ||

- | :<math> \frac{\partial u}{\partial t}+ | + | :<math> \frac{\partial u}{\partial t}+ u \frac{\partial u}{\partial x}=0 |

</math> | </math> | ||

== Domain == | == Domain == | ||

- | x=[ | + | x=[-5,10] |

== Initial Condition == | == Initial Condition == | ||

- | :<math> u(x,0)= | + | :<math> u(x,0)=0 ,x <=0 </math> |

- | + | :<math> u(x,0)=1 ,x >0 </math> | |

== Boundary condition == | == Boundary condition == | ||

u[0]=0,u[imax]=u[imax-1](x[imax]=1.0) | u[0]=0,u[imax]=u[imax-1](x[imax]=1.0) | ||

Line 15: | Line 15: | ||

c=1,t=0.25 | c=1,t=0.25 | ||

== Results == | == Results == | ||

- | [[Image: | + | [[Image:Nonlinear_1d.jpg]] |

== Reference == | == Reference == |

## Revision as of 01:48, 25 December 2005

## Contents |

## Problem definition

## Domain

x=[-5,10]

## Initial Condition

## Boundary condition

u[0]=0,u[imax]=u[imax-1](x[imax]=1.0)

## Exact solution

## Numerical method

c=1,t=0.25