Numerical flux-splitting for a class of hyperbolic systems with unilateral constraint
Laboratoire J.A. Dieudonné, UMR 6621 CNRS,
Université de Nice Sophia-Antipolis, Parc Valrose,
06108 Nice Cedex 2, France. Florent.Berthelin@unice.fr.
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.
Mathematics Subject Classification: 35A35 / 35L65 / 35L85 / 76N15 / 76T10
Key words: Numerical scheme / conservation laws with constraint / convergence of scheme / entropy scheme / gas dynamics.
© EDP Sciences, SMAI, 2003