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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 systems with unilateral constraint. In particular, we deal with the scalar case, the isentropic gas dynamics system and the full-gas dynamics system. We prove the convergence of the scheme to an entropy solution of the isentropic gas 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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