An entropy preserving relaxation scheme for ten-moments equations with source terms - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Communications in Mathematical Sciences Year : 2015

An entropy preserving relaxation scheme for ten-moments equations with source terms

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 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.
Fichier principal
Vignette du fichier
bds10mom.pdf (884.8 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01255069 , version 1 (15-01-2016)

Identifiers

Cite

Christophe Berthon, Bruno Dubroca, Afeintou Sangam. An entropy preserving relaxation scheme for ten-moments equations with source terms. Communications in Mathematical Sciences, 2015, Communications in Mathematical Sciences, 13 (8), pp. 2119-2154. ⟨10.4310/CMS.2015.v13.n8.a7⟩. ⟨hal-01255069⟩
313 View
192 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More