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Very high-order asymptotic-preserving schemes for hyperbolic systems of conservation laws with parabolic degeneracy on unstructured meshes

hal.structure.identifierAutomatic mesh generation and advanced methods [Gamma3]
dc.contributor.authorBLACHÈRE, Florian
hal.structure.identifierLaboratoire de Mathématiques de Versailles [LMV]
dc.contributor.authorCHALONS, Christophe
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierInstitut Polytechnique de Bordeaux [Bordeaux INP]
dc.contributor.authorTURPAULT, Rodolphe
dc.date.accessioned2024-04-04T02:47:03Z
dc.date.available2024-04-04T02:47:03Z
dc.date.issued2021-04
dc.identifier.issn0898-1221
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191607
dc.description.abstractEnIn this paper, we consider the numerical approximation of hyperbolic systems of conservation laws with sti source terms and parabolic degeneracy in the asymptotic limit. We are more precisely interested in the design of high-order asymptotic-preserving schemes on unstructured meshes. Our approach is based on a very simple modication of the numerical ux associated with the usual HLL scheme and boils down to a sharp control of the underlying numerical diusion. The strategy allows to capture the correct asymptotic parabolic behavior and to preserve the high-order accuracy also in the asymptotic limit. Numerical experiments are proposed to illustrate these properties.
dc.language.isoen
dc.publisherElsevier
dc.subject.enasymptotic-preserving schemes
dc.subject.endiffusion limit
dc.subject.ennonlinear hyperbolic systems
dc.subject.enhigh order finite volumes schemes
dc.title.enVery high-order asymptotic-preserving schemes for hyperbolic systems of conservation laws with parabolic degeneracy on unstructured meshes
dc.typeArticle de revue
dc.identifier.doi10.1016/j.camwa.2021.02.003
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
bordeaux.journalComputers & Mathematics with Applications
bordeaux.page41-49
bordeaux.volume87
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-03157500
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03157500v1
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