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Hyperbolic Balance Laws: Residual Distribution, Local and Global Fluxes

hal.structure.identifierUniversität Zürich [Zürich] = University of Zurich [UZH]
dc.contributor.authorABGRALL, Rémi
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
dc.contributor.authorRICCHIUTO, Mario
dc.date.accessioned2024-04-04T02:40:56Z
dc.date.available2024-04-04T02:40:56Z
dc.date.issued2022-05-19
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191104
dc.description.abstractEnThis review paper describes a class of scheme named “residual distribution schemes” or “fluctuation splitting schemes”. They are a generalization of Roe’s numerical flux [61] in fluctuation form. The so-called multidimensional fluctuation schemes have historically first been developed for steady homogeneous hyperbolic systems. Their application to unsteady problems and conservation laws has been really understood only relatively recently. This understanding has allowed to make the residual distribution framework a powerful playground to develop numerical discretizations embedding some prescribed constraints. This paper describes in some detail these techniques, with several examples, ranging from the compressible Euler equations to the Shallow Water equations.
dc.language.isoen
dc.publisherSpringer Nature Singapore
dc.publisher.locationSingapore
dc.source.titleNumerical Fluid Dynamics
dc.title.enHyperbolic Balance Laws: Residual Distribution, Local and Global Fluxes
dc.typeChapitre d'ouvrage
dc.identifier.doi10.1007/978-981-16-9665-7_7
dc.subject.halInformatique [cs]/Modélisation et simulation
dc.identifier.arxiv2109.08491
bordeaux.page177-222
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.title.proceedingNumerical Fluid Dynamics
hal.identifierhal-03723734
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03723734v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=Numerical%20Fluid%20Dynamics&rft.date=2022-05-19&rft.spage=177-222&rft.epage=177-222&rft.au=ABGRALL,%20R%C3%A9mi&RICCHIUTO,%20Mario&rft.genre=unknown


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