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A spectacular solver of low-Mach multiphase Navier-Stokes problems under strong stresses

hal.structure.identifierInstitut de Mathématiques de Marseille [I2M]
dc.contributor.authorANGOT, Philippe
dc.contributor.authorCALTAGIRONE, Jean-Paul
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorFABRIE, Pierre
dc.date.accessioned2021-05-14T09:54:39Z
dc.date.available2021-05-14T09:54:39Z
dc.date.created2015-11
dc.date.conference2015-11-02
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/77632
dc.description.abstractEnWe present the main features and sharp numerical applications of the fast vector penalty-projection methods (VPP ε) [1, 2, 3], based on three key ideas explained further. In particular, we proposed new fast Helmholtz-Hodge decompo-sitions of L 2-vector fields in bounded domains by solving vector elliptic problems penalized with suitable adapted right-hand sides [4]. This procedure, used as an approximate divergence-free velocity projection step, yields a velocity divergence vanishing as O(ε δt), δt being the time step. It only requires a few iterations of preconditioned conjugate gradients whatever the spatial mesh step h, if the penalty parameter ε is chosen sufficiently small up to machine precision, e.g. ε = 10 −14. These methods prove to be efficient, fast and robust to accurately compute incom-pressible or low Mach multiphase flows under strong stresses: large mass density, viscosity or anisotropic permeability jumps, strong surface tension inducing large interface deformations, or with open boundary conditions, whereas other methods either cannot reach the suitable mesh convergence and run slower or simply crash.
dc.language.isoen
dc.publisherSpringer
dc.source.titleTurbulence and Interactions, Proceedings of the TI 2015 conference
dc.subject.enVector penalty-projection methods
dc.subject.enfast Helmholtz-Hodge decompositions
dc.subject.enNavier-Stokes equations
dc.subject.enMultiphase flows
dc.subject.enincompressible or low-Mach flows
dc.subject.enstrong stresses
dc.subject.enlarge density or viscosity variations
dc.title.enA spectacular solver of low-Mach multiphase Navier-Stokes problems under strong stresses
dc.typeCommunication dans un congrès avec actes
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halInformatique [cs]/Modélisation et simulation
dc.subject.halPhysique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]
bordeaux.hal.laboratoriesInstitut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.institutionINRAE
bordeaux.institutionArts et Métiers
bordeaux.countryFR
bordeaux.title.proceeding4th International Conference on Turbulence and Interactions
bordeaux.conference.cityCargèse (Corsica)
bordeaux.peerReviewedoui
hal.identifierhal-01248744
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01248744v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.btitle=Turbulence%20and%20Interactions,%20Proceedings%20of%20the%20TI%202015%20conference&rft.au=ANGOT,%20Philippe&CALTAGIRONE,%20Jean-Paul&FABRIE,%20Pierre&rft.genre=proceeding


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