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Asymptotic Expansion of a Multiscale Numerical Scheme for Compressible Viscous Multiphase Flows

hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorABGRALL, Remi
hal.structure.identifierParallel tools for Numerical Algorithms and Resolution of essentially Hyperbolic problems [BACCHUS]
dc.contributor.authorRODIO, Maria Giovanna
dc.date.accessioned2024-04-15T09:45:37Z
dc.date.available2024-04-15T09:45:37Z
dc.date.issued2012-04-01
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/197935
dc.description.abstractEnAn asymptotic development of a numerical scheme for the simulation of compressible multiphase flows including viscous effects is illustrated. First, a numerical approximation of the Navier-Stokes equations for each phase is provided. Then, an average procedure of this approximation is used to define, in a probabilistic framework, all the interactions between the two phases. This enables an accurate resolution method for all terms. Thus, the proposed scheme is used for the discretization of a seven-equations model, including relaxation terms that allow obtaining the pressure and velocity equilibrium between the two phases. Finally, an asymptotic analysis at the discrete level is performed, where the relaxation terms disappear. The influence of the viscous terms is studied, comparing the results obtained by solving the Navier-Stokes equations (validated with reference solutions given in the literature) with the Euler solutions.
dc.language.isoen
dc.title.enAsymptotic Expansion of a Multiscale Numerical Scheme for Compressible Viscous Multiphase Flows
dc.typeRapport
dc.subject.halPhysique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]
dc.subject.halSciences de l'ingénieur [physics]/Mécanique [physics.med-ph]/Mécanique des fluides [physics.class-ph]
bordeaux.hal.laboratoriesLaboratoire Bordelais de Recherche en Informatique (LaBRI) - UMR 5800*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.type.institutionINRIA
bordeaux.type.reportrr
hal.identifierhal-00684265
hal.version1
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00684265v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.date=2012-04-01&rft.au=ABGRALL,%20Remi&RODIO,%20Maria%20Giovanna&rft.genre=unknown


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