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Entropy condition and ENO scheme

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Old   January 14, 2003, 07:50
Default Entropy condition and ENO scheme
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Question Man.
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Hi all,

Can anyone tell me anything about the satisfaction of the Entropy condition by ENO schemes? I know that these schemes must satisfy the entropy condition, but I cannot see how that is done as part of a solution. I have seen some inequalities in text books which suggest you need to do a calculation on results to know if the solution is entropy satisfying. I want to know a priori. How can you ensure the "SCHEME" is ntropy condtion and ENO schemeentropy satisfying?

Can someone recommend a text or paper that deals with this?

Thanks.
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Old   January 14, 2003, 09:03
Default Re: Entropy condition and ENO scheme
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gorka
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Hi, The book "High-Order Methods for Computational Physics", T.J. Barth and H. Deconinck (editors) - published by Springer - includes two articles dealing with the ENO and WENO schemes. However, I'm not sure if they discuss about this issue.

Best regards
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Old   January 14, 2003, 12:01
Default Re: Entropy condition and ENO scheme
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gita
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Hi,

Search the net for Engquist Osher and Sukumar Chakravarthy for ENO/WENO schemes. It's highly mathematical and one needs lot of patience to go through their papers.

gita
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Old   January 15, 2003, 13:45
Default Re: Entropy condition and ENO scheme
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Question Man.
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The book is discontinued, and not available in my library. Do you know of any other references? Thanks for your help.
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Old   January 16, 2003, 07:27
Default Re: Entropy condition and ENO scheme
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Praveen
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Try this ICASE report:

Chi-Wang Shu: ENO and WENO Schemes for Hyperbolic Conservation Laws, ICASE Report No. 97-65. (79 pages)
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Old   January 17, 2003, 08:10
Default Re: Entropy condition and ENO scheme
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Question man.
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Thanks,

I've read it. Not alot on Entropy in there.....
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