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entropy scheme

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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Numerical flux-splitting for a class of hyperbolic systems with unilateral constraint
Florent Berthelin
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 37 / Issue 3 / May 2003

Published online by Cambridge University Press:

15 April 2004, pp. 479-494

Print publication:

May 2003
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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.