The minimum entropy principle for compressible fluid flows in a nozzle with discontinuous cross-section

Kröner, Dietmar ; Lefloch, Philippe G. ; Thanh, Mai-Duc

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 42 (2008), p. 425-442 / Harvested from Numdam

Résumé

We consider the Euler equations for compressible fluids in a nozzle whose cross-section is variable and may contain discontinuities. We view these equations as a hyperbolic system in nonconservative form and investigate weak solutions in the sense of Dal Maso, LeFloch and Murat [J. Math. Pures Appl. 74 (1995) 483-548]. Observing that the entropy equality has a fully conservative form, we derive a minimum entropy principle satisfied by entropy solutions. We then establish the stability of a class of numerical approximations for this system.

Détail

Publié le : 2008-01-01

MR 2423793 | Zbl 1139.76048 | 1 citation dans Numdam

DOI : https://doi.org/10.1051/m2an:2008011
Classification:  35L65,  76N10,  76L05

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