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.
Complete list of metadatas

Cited literature [36 references]  Display  Hide  Download

https://hal.inria.fr/hal-01255069
Contributor : Afeintou Sangam <>
Submitted on : Friday, January 15, 2016 - 10:44:27 AM
Last modification on : Monday, March 25, 2019 - 4:52:06 PM
Long-term archiving on : Saturday, April 16, 2016 - 10:10:44 AM

File

bds10mom.pdf
Files produced by the author(s)

Identifiers

Citation

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

Share

Metrics

Record views

603

Files downloads

210