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An Asymptotic-Preserving Scheme for Systems of Conservation Laws with Source Terms on 2D Unstructured Meshes

hal.structure.identifierUniversité de Nantes [UN]
hal.structure.identifierLaboratoire de Mathématiques Jean Leray [LMJL]
dc.contributor.authorBERTHON, C
hal.structure.identifierLaboratoire de Mathématiques Jean Leray [LMJL]
hal.structure.identifierUniversité de Nantes [UN]
dc.contributor.authorMOEBS, G
hal.structure.identifierLaboratoire de Mathématiques Jean Leray [LMJL]
dc.contributor.authorSARAZIN-DESBOIS, C
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierInstitut Polytechnique de Bordeaux [Bordeaux INP]
dc.contributor.authorTURPAULT, Rodolphe
dc.date.issued2016
dc.identifier.issn1559-3940
dc.description.abstractEnIn 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.
dc.description.sponsorshipCentre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation - ANR-11-LABX-0020
dc.language.isoen
dc.publisherMathematical Sciences Publishers
dc.title.enAn Asymptotic-Preserving Scheme for Systems of Conservation Laws with Source Terms on 2D Unstructured Meshes
dc.typeArticle de revue
dc.identifier.doi10.1007/978-3-319-05684-5_9
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
bordeaux.journalCommunications in Applied Mathematics and Computational Science
bordeaux.peerReviewedoui
hal.identifierhal-01255899
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01255899v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Communications%20in%20Applied%20Mathematics%20and%20Computational%20Science&rft.date=2016&rft.eissn=1559-3940&rft.issn=1559-3940&rft.au=BERTHON,%20C&MOEBS,%20G&SARAZIN-DESBOIS,%20C&TURPAULT,%20Rodolphe&rft.genre=article


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