BLACHÈRE, Florian; TURPAULT, Rodolphe

doi:10.1016/j.cma.2017.01.012

Métadonnées

Licence d’utilisation du document

BLACHÈRE, Florian
Université de Versailles Saint-Quentin-en-Yvelines [UVSQ]
Laboratoire de Mathématiques de Versailles [LMV]
Université de Nantes [UN]
Laboratoire de Mathématiques Jean Leray [LMJL]

TURPAULT, Rodolphe
Institut de Mathématiques de Bordeaux [IMB]
Institut Polytechnique de Bordeaux [Bordeaux INP]

Langue

Article de revue

Ce document a été publié dans

Computer Methods in Applied Mechanics and Engineering. 2017

Elsevier

Résumé en anglais

The aim of this work is to design an explicit finite volume scheme with high-order MOOD reconstruction for specific systems of conservation laws with stiff source terms which degenerate into diffusion equations. We propose a general framework to design an asymptotic preserving scheme that is stable and consistent under a classical hyperbolic CFL condition in both hyperbolic and diffusive regimes for any 2D unstructured mesh. Moreover, the developed scheme also preserves the set of admissible states, which is mandatory to conserve physical solutions in stiff configurations. This construction is achieved by using a non-linear scheme as a target scheme for the limit diffusion equation, which gives the form of the global scheme for the full system. The high-order polynomial reconstructions allow to improve the accuracy of the scheme without getting a full high-order scheme. Numerical results are provided to validate the scheme in every regime.< Réduire

Mots clés en anglais

asymptotic-preserving schemes

finite volumes schemes

hyperbolic systems of conservation laws with source terms

MOOD

URI

https://oskar-bordeaux.fr/handle/20.500.12278/193808

DOI

http://dx.doi.org/10.1016/j.cma.2017.01.012

Project ANR

Capture de l'Asymptotique pour des Systèmes Hyperboliques de Lois de Conservation avec Termes Source - ANR-14-CE25-0001
Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251