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Online ISSN 1552-4485; Print ISSN 0033-569X		  

     

The interface coupling of the gas dynamics equations

Author(s): Christophe Chalons; Pierre-Arnaud Raviart; Nicolas Seguin
Journal: Quart. Appl. Math. 66 (2008), 659-705.
MSC (2000): Primary 76N15, 35F25, 35L65
Posted: October 1, 2008
MathSciNet review: 2465140
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Abstract | References | Similar articles | Additional information

Abstract: We investigate the one-dimensional coupling of two systems of gas dynamics at a fixed interface. The coupling constraints consist in requiring the continuity of a system of nonconservative variables at the interface. Since we are dealing with hyperbolic systems, weak coupling conditions are proposed. The existence and the uniqueness of the solutions of the coupled Riemann problem are investigated. Several examples of solutions satisfying the weak coupling conditions are contructed, either continuous or discontinuous with respect to the nonconservative variables at the interface.

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Additional Information:

Christophe Chalons
Affiliation: UMR 7598 Laboratoire Jacques-Louis Lions, Universit{é Paris 7-Denis Diderot, Bo{\^i}te courrier 187, 75252 Paris Cedex 05, France
Email: chalons@math.jussieu.fr

Pierre-Arnaud Raviart
Affiliation: UMR 7598 Laboratoire Jacques-Louis Lions, CNRS \& Universit{é Pierre et Marie Curie-Paris 6, Bo{\^i}te courrier 187, 75252 Paris Cedex 05, France
Email: pa@raviart.com

Nicolas Seguin
Affiliation: UMR 7598 Laboratoire Jacques-Louis Lions, Universit{é Pierre et Marie Curie-Paris 6, Bo{\^i}te courrier 187, 75252 Paris Cedex 05, France
Email: seguin@ann.jussieu.fr
PII: S0033-569X-08-01087-X
Received by editor(s): March 16, 2007
Posted: October 1, 2008
Copyright of article: Copyright 2008, Brown University



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