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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
dc.contributor.authorBERNARD, Florian
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
dc.contributor.authorIOLLO, Angelo
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
hal.structure.identifierModeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]
dc.contributor.authorRIFFAUD, Sébastien
dc.date.accessioned2024-04-04T02:58:04Z
dc.date.available2024-04-04T02:58:04Z
dc.date.conference2018-06-11
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/192620
dc.description.abstractEnA reduced-order model of the BGK equation leading to fast and accurate computations is presented. The BGK model describes the dynamics of a gas flow in both hydrodynamic and rarefied regimes. In the reduced-order model, the distribution functions are approximated in velocity space by a small number of basis functions computed offline. In the offline phase, the BGK equation is sampled in order to collect information on the distribution functions. Then, optimal transportation provides additional samples by interpolating the distribution functions to complete the sampling. Finally, the basis functions are built by Proper Orthogonal Decomposition. During the online phase, the offline knowledge is used to compute approximations ofthe density distribution function at low cost. The BGK equation is projected onto the basis functions, leading to an hyperbolic system of partial differential equations. Moreover, the projection is modified to conserve mass, momentum and energy of the gas. The resulting system is then solved by an IMEX Runge-Kutta scheme in time and a finite-volume scheme in space. The results show the significant reduction of the computational cost and the accuracy of the reduced-order model.
dc.language.isoen
dc.subject.enRarefied flows
dc.subject.enProper Orthogonal Decomposition
dc.subject.enReduced-order model
dc.subject.enOptimal transportation
dc.title.enReduced-order model of the BGK equation based on POD and optimal transport
dc.typeCommunication dans un congrès
dc.subject.halMathématiques [math]/Analyse numérique [math.NA]
dc.subject.halInformatique [cs]/Modélisation et simulation
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.conference.title6th European Conference on Computational Mechanics (ECCM 6) - 7th European Conference on Computational Fluid Dynamics (ECFD 7)
bordeaux.countryGB
bordeaux.conference.cityGlasgow
bordeaux.peerReviewednon
hal.identifierhal-02427327
hal.version1
hal.invitedoui
hal.proceedingsnon
hal.conference.end2018-06-15
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-02427327v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=BERNARD,%20Florian&IOLLO,%20Angelo&RIFFAUD,%20S%C3%A9bastien&rft.genre=unknown


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