BLACHÈRE, Florian; TURPAULT, Rodolphe

doi:10.1016/j.jcp.2016.03.045

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BLACHÈRE, Florian
Laboratoire de Mathématiques Jean Leray [LMJL]
Université de Nantes [UN]

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

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Article de revue

Ce document a été publié dans

Journal of Computational Physics. 2016

Elsevier

Résumé en anglais

The objective of this work is to design explicit finite volumes schemes for specific systems of conservations 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 regime, for any two-dimensional unstructured mesh. Moreover, the scheme developed also preserves the set of admissible states, which is mandatory to keep physical solutions in stiff configurations. This construction is achieved by using a non-linear scheme as a target scheme for the diffusive equation, which gives the form of the global scheme for the complete system of conservation laws. Numerical results are provided to validate the scheme in both regimes.< Réduire

Mots clés en anglais

finite volume schemes

2D unstructured mesh

asymptotic-preserving schemes

admissibility-preserving schemes

conservation laws with source terms

DOI

http://dx.doi.org/10.1016/j.jcp.2016.03.045

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