An entropy preserving relaxation scheme for ten-moments equations with source terms
DUBROCA, Bruno
Centre d'Etudes Lasers Intenses et Applications [CELIA]
Institut de Mathématiques de Bordeaux [IMB]
Centre d'Etudes Lasers Intenses et Applications [CELIA]
Institut de Mathématiques de Bordeaux [IMB]
SANGAM, Afeintou
Control, Analysis and Simulations for TOkamak Research [CASTOR]
Laboratoire Jean Alexandre Dieudonné [LJAD]
Control, Analysis and Simulations for TOkamak Research [CASTOR]
Laboratoire Jean Alexandre Dieudonné [LJAD]
DUBROCA, Bruno
Centre d'Etudes Lasers Intenses et Applications [CELIA]
Institut de Mathématiques de Bordeaux [IMB]
Centre d'Etudes Lasers Intenses et Applications [CELIA]
Institut de Mathématiques de Bordeaux [IMB]
SANGAM, Afeintou
Control, Analysis and Simulations for TOkamak Research [CASTOR]
Laboratoire Jean Alexandre Dieudonné [LJAD]
< Reduce
Control, Analysis and Simulations for TOkamak Research [CASTOR]
Laboratoire Jean Alexandre Dieudonné [LJAD]
Language
en
Article de revue
This item was published in
Communications in Mathematical Sciences. 2015, vol. 13, n° 8, p. 2119-2154
International Press
English Abstract
The present paper concerns the derivation of finite volume methods to approximate weak solutions of Ten-Moments equations with source terms. These equations model compressible anisotropic flows. A relaxation-type scheme ...Read more >
The present paper concerns the derivation of finite volume methods to approximate weak solutions of Ten-Moments equations with source terms. These equations model compressible anisotropic flows. A relaxation-type scheme is proposed to approximate such flows. Both robustness and stability conditions of the suggested finite volume methods are established. To prove discrete entropy inequalities, we derive a new strategy based on local minimum entropy principle and never use some approximate PDE's auxiliary model as usually recommended. Moreover, numerical simulations in 1D and in 2D illustrate our approach.Read less <
English Keywords
discrete entropy minimum principle AMS subject classifications 65M60
Godunov type schemes
discrete entropy inequalities
Hyperbolic system
Ten-Moments equations
source terms
65M12
ANR Project
Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020
Origin
Hal imported