An all speed relaxation scheme for compressible materials

Abstract : We propose a novel relaxation scheme for the simulation of compressible material flows at all speeds. An Eulerian model describing gases, fluids and elastic solids with the same system of conservation laws is adopted. The numerical scheme is based on the relaxation technique introduced by Jin-Xin. The linearity of the transport operator in the relaxation system allows for an easy implementation of a fully implicit time integration. The spatial discretization is obtained by a combination of upwind and centered schemes, in order to recover the correct numerical viscosity at all Mach numbers. Thanks to this, the scheme is very accurate in approximating material waves at all speeds. Moreover, the acoustic CFL constraint may be avoided without facing stability issues. The proposed scheme is the same for all materials and can handle different Mach regimes. Gas and liquid flows and hyperelastic solids deformations have been simulated at different speeds. Multimaterial applications are currently under investigation.
Type de document :
Communication dans un congrès
NUMHYP 2017 - Numerical methods for hyperbolic problems, May 2017, Monte Verità, Switzerland
Liste complète des métadonnées

https://hal.inria.fr/hal-01666500
Contributeur : Emanuela Abbate <>
Soumis le : lundi 18 décembre 2017 - 14:28:37
Dernière modification le : lundi 15 janvier 2018 - 17:06:09

Identifiants

  • HAL Id : hal-01666500, version 1

Collections

Citation

Emanuela Abbate, Angelo Iollo, Gabriella Puppo. An all speed relaxation scheme for compressible materials. NUMHYP 2017 - Numerical methods for hyperbolic problems, May 2017, Monte Verità, Switzerland. 〈hal-01666500〉

Partager

Métriques

Consultations de la notice

222