BERTHON, C; MOEBS, G; SARAZIN-DESBOIS, C; TURPAULT, Rodolphe

doi:10.1007/978-3-319-05684-5_9

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BERTHON, C
Université de Nantes [UN]
Laboratoire de Mathématiques Jean Leray [LMJL]

MOEBS, G
Laboratoire de Mathématiques Jean Leray [LMJL]
Université de Nantes [UN]

SARAZIN-DESBOIS, C
Laboratoire de Mathématiques Jean Leray [LMJL]

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Ce document a été publié dans

Communications in Applied Mathematics and Computational Science. 2016

Mathematical Sciences Publishers

Résumé en anglais

In this paper, finite volumes numerical schemes are developed for hyperbolic systems of conservation laws with source terms. The systems under consideration degenerate into parabolic systems in large times when the source terms become stiff. In this framework, it is crucial that the numerical schemes are asymptotic-preserving ı.e. that they degenerate accordingly. Here, an asymptotic-preserving numerical scheme is proposed for any system within the aforementioned class on 2D unstructured meshes. This scheme is proved to be consistent and stable under a suitable CFL condition. Moreover, we show that it is also possible to prove that it preserves the set of (physically) admissible states under a geometrical property on the mesh. Finally, numerical examples are given to illustrate its behavior.< Réduire

DOI

http://dx.doi.org/10.1007/978-3-319-05684-5_9

Project ANR

Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020

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Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251