CFD Online Logo CFD Online URL
www.cfd-online.com
[Sponsors]
Home > Forums > Main CFD Forum

How to solve exactly Riemann problems?

Register Blogs Members List Search Today's Posts Mark Forums Read

Reply
 
LinkBack Thread Tools Display Modes
Old   September 17, 2004, 21:20
Default How to solve exactly Riemann problems?
  #1
Matthew Xu
Guest
 
Posts: n/a
Hello, I want to know how to solve exactly Riemann problems of nonstrictly hyperbolic conservation laws, such as the modified Burgers' equation, u_t+(a(x)u^2)_x=0. Can you give me some advices?Many thanks.
  Reply With Quote

Old   September 17, 2004, 23:06
Default Re: How to solve exactly Riemann problems?
  #2
Matthew Xu
Guest
 
Posts: n/a
I know the iterate method can solve this problem. Are there any references?
  Reply With Quote

Old   September 20, 2004, 04:09
Default Re: How to solve exactly Riemann problems?
  #3
Tom
Guest
 
Posts: n/a
You need to solve the characteristic equations

dt/ds = 1, dx/ds = 2au, du/ds = - a'u^2

with, at s=0, t=0, x=X, u = f(X).
  Reply With Quote

Old   September 20, 2004, 13:28
Default Re: How to solve exactly Riemann problems?
  #4
Jarmo Monttinen
Guest
 
Posts: n/a
See the following: Toro, E. F. 1997. Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction. Springer New York.

or

Godlewski, E. and P.-A. Raviart. 1996. Numerical Approximation of Hyperbolic Systems of Conservation Laws. Springer New York.

These will tell you everything you need to know. And then some more.

-- Jarmo
  Reply With Quote

Reply

Thread Tools
Display Modes

Posting Rules
You may not post new threads
You may not post replies
You may not post attachments
You may not edit your posts

BB code is On
Smilies are On
[IMG] code is On
HTML code is Off
Trackbacks are On
Pingbacks are On
Refbacks are On


Similar Threads
Thread Thread Starter Forum Replies Last Post
About using transient method to solve steady problems doctor evil Main CFD Forum 1 April 14, 2010 23:46
can V2F be used to solve DPM problems? Puqing FLUENT 0 March 12, 2010 21:36
How can we solve problems in dimensionless mode? Mohsen Ghamari FLUENT 12 August 22, 2005 19:39
Can Fidap solve dynamic mesh problems? Sandy FLUENT 0 September 29, 2003 00:45
How to solve another continuum and momentum eqn? west_wing FLUENT 0 August 25, 2003 10:00


All times are GMT -4. The time now is 05:50.