CFD Online Logo CFD Online URL
Home > Forums > Main CFD Forum

Entropy stability

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

LinkBack Thread Tools Display Modes
Old   September 21, 2005, 08:34
Default Entropy stability
Posts: n/a
Can somebody suggest me that what exactly is required in order to show that a non-linear scheme for non-linear hyperbolic consevation laws, converges to right weak solution. Someone suggested me that scheme should satisfy the entropy stability condition. You people out there, please throw some light on it.

regards Ritesh
  Reply With Quote

Old   September 21, 2005, 22:39
Default Re: Entropy stability
Praveen. C
Posts: n/a
For a scalar conservation law, satisfaction of entropy condition will ensure that you get the correct weak solution. See for example

Godlewski and Raviart: Hyperbolic Systems of Conservation Laws, Paris, Ellipses

However for systems of equations, even in 1-D, it is not known in general whether entropy condition is sufficient to ensure uniqueness.

Also see

Godlewski and Raviart: Numerical Approximation of Hyperbolic Systems of Conservation Laws, Springer.
  Reply With Quote


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
stability and number of processors ?? sersunzo OpenFOAM Running, Solving & CFD 0 June 9, 2009 11:45
Entropy jump across shocks Dave Main CFD Forum 8 March 12, 2008 11:21
about entropy stability prapanj Main CFD Forum 5 February 16, 2007 19:24
Solving linear stability eq. K S Chang Main CFD Forum 3 January 19, 2004 17:01
help:negative entropy appears in cfd result rb Main CFD Forum 6 October 27, 2000 00:14

All times are GMT -4. The time now is 12:35.