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Numerical flux-splitting for a class of hyperbolic systems with unilateral constraint

Published online by Cambridge University Press:  15 April 2004

Florent Berthelin
Florent Berthelin*
Affiliation:
Laboratoire J.A. Dieudonné, UMR 6621 CNRS, Université de Nice Sophia-Antipolis, Parc Valrose, 06108 Nice Cedex 2, France. Florent.Berthelin@unice.fr.
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Abstract

We study in this paper some numerical schemes for hyperbolic systemswith unilateral constraint. In particular, we deal with the scalar case, the isentropicgas dynamics system and the full-gas dynamics system.We prove the convergence of the scheme to an entropy solutionof the isentropicgas dynamics with unilateral constraint on the density and mass loss.We also study the non-trivial steady states of the system.

Keywords

Numerical schemeconservation laws with constraintconvergence of schemeentropy schemegas dynamics.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 37 , Issue 3 , May 2003 , pp. 479 - 494
Copyright
© EDP Sciences, SMAI, 2003

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