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A robust implicit-explicit acoustic-transport splitting scheme for two-phase flows

hal.structure.identifierCentre d'études scientifiques et techniques d'Aquitaine [CESTA]
dc.contributor.authorPELUCHON, Simon
hal.structure.identifierCentre d'études scientifiques et techniques d'Aquitaine [CESTA]
dc.contributor.authorGALLICE, Gérard
hal.structure.identifierCertified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorMIEUSSENS, Luc
dc.date.created2016-05
dc.date.issued2017
dc.identifier.issn0021-9991
dc.description.abstractEnIn this paper, a splitting strategy to simulate compressible two-phase flows using the five-equation model is presented. The main idea of the splitting is to separate the acoustic and transport phenomena. The acoustic step is solved in a non-conservative form using a scheme based on an approximate Riemann solver. Since the acoustic time step induced by the fast sound velocity is very restrictive, an implicit treatment of this step is performed. For the transport step driven by the slow material waves, an explicit scheme is used. Although non-conservative forms are used to derive numerical schemes for the two steps, the overall scheme resulting from this splitting operator strategy is conservative. It preserves contact discontinuities and reveals to be very robust compared to a standard unsplit scheme. Numerical simulations of compressible two-phase flows are presented on two-dimensional structured grids. The implicit-explicit strategy allows large time steps, which do not depend on the fast acoustic waves.
dc.language.isoen
dc.publisherElsevier
dc.subject.entwo-phase flows
dc.subject.enpositive Riemann solver
dc.subject.enimplicit scheme
dc.title.enA robust implicit-explicit acoustic-transport splitting scheme for two-phase flows
dc.typeArticle de revue
dc.identifier.doi10.1016/j.jcp.2017.03.019
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halPhysique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]
bordeaux.journalJournal of Computational Physics
bordeaux.peerReviewedoui
hal.identifierhal-01448468
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01448468v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Computational%20Physics&rft.date=2017&rft.eissn=0021-9991&rft.issn=0021-9991&rft.au=PELUCHON,%20Simon&GALLICE,%20G%C3%A9rard&MIEUSSENS,%20Luc&rft.genre=article


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