A Local Entropy Minimum Principle for Deriving Entropy Preserving Schemes
DUBROCA † ‡, Bruno
Institut de Mathématiques de Bordeaux [IMB]
Centre d'Etudes Lasers Intenses et Applications [CELIA]
Institut de Mathématiques de Bordeaux [IMB]
Centre d'Etudes Lasers Intenses et Applications [CELIA]
SANGAM, Afeintou
Contrôle du plAsma et de ses inSTabilités, Optimisation et Réduction de modèle [CASTOR]
Laboratoire Jean Alexandre Dieudonné [LJAD]
Contrôle du plAsma et de ses inSTabilités, Optimisation et Réduction de modèle [CASTOR]
Laboratoire Jean Alexandre Dieudonné [LJAD]
DUBROCA † ‡, Bruno
Institut de Mathématiques de Bordeaux [IMB]
Centre d'Etudes Lasers Intenses et Applications [CELIA]
Institut de Mathématiques de Bordeaux [IMB]
Centre d'Etudes Lasers Intenses et Applications [CELIA]
SANGAM, Afeintou
Contrôle du plAsma et de ses inSTabilités, Optimisation et Réduction de modèle [CASTOR]
Laboratoire Jean Alexandre Dieudonné [LJAD]
< Reduce
Contrôle du plAsma et de ses inSTabilités, Optimisation et Réduction de modèle [CASTOR]
Laboratoire Jean Alexandre Dieudonné [LJAD]
Language
en
Article de revue
This item was published in
SIAM Journal on Numerical Analysis. 2012
Society for Industrial and Applied Mathematics
English Abstract
The present work deals with the establishment of stability conditions of finite volume methods to approximate weak solutions of the general Euler equations to simulate compressible flows. In oder to ensure discrete entropy ...Read more >
The present work deals with the establishment of stability conditions of finite volume methods to approximate weak solutions of the general Euler equations to simulate compressible flows. In oder to ensure discrete entropy inequalities, we derive a new technique based on a local minimum principle to be satisfied by the specific entropy. Sufficient conditions are exhibited to satisfy the required local minimum entropy principle. Arguing these conditions, a class of entropy preserving schemes is thus derived.Read less <
English Keywords
AMS subject classifications 65M60
65M12 Key words Hyperbolic system
general Euler equations
Godunov type schemes
discrete entropy inequalities
discrete entropy minimum principle
Origin
Hal imported