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Discontinuous upwind residual distribution: A route to unconditional positivity and high order accuracy

hal.structure.identifierSchool of Computing [Leeds]
dc.contributor.authorHUBBARD, Matthew
hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorRICCHIUTO, Mario
dc.date.accessioned2024-04-04T02:25:53Z
dc.date.available2024-04-04T02:25:53Z
dc.date.issued2011-07-21
dc.identifier.issn0045-7930
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189910
dc.description.abstractEnThis paper proposes an approach to the approximation of time-dependent hyperbolic conservation laws which is both second order accurate in space and time (for any sufficiently smooth solution profile, even one containing turning points) and free of spurious oscillations for any time-step. The numerical algorithm is based on the concept of fluctuation distribution, applied on a space-time mesh of triangular prisms, for which second order accurate schemes already exist which are oscillation-free if the time-step satisfies a CFL-type constraint. This restriction is lifted here by combining the concept of a two-layer scheme with a representation of the solution which is allowed to be discontinuous-in-time. Numerical results are presented in two space dimensions, using unstructured meshes of space-time triangular prisms, for the scalar advection equation, Burgers' equation and the Euler equations of gas dynamics.
dc.language.isoen
dc.publisherElsevier
dc.title.enDiscontinuous upwind residual distribution: A route to unconditional positivity and high order accuracy
dc.typeArticle de revue
dc.identifier.doi10.1016/j.compfluid.2010.12.023
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halSciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph]
dc.subject.halPhysique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]
bordeaux.journalComputers and Fluids
bordeaux.volume48
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue1
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00652403
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00652403v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Computers%20and%20Fluids&rft.date=2011-07-21&rft.volume=48&rft.issue=1&rft.eissn=0045-7930&rft.issn=0045-7930&rft.au=HUBBARD,%20Matthew&RICCHIUTO,%20Mario&rft.genre=article


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