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A Fokker-Planck model of the Boltzmann equation with correct Prandtl number for polyatomic gases

hal.structure.identifierCentre d'études scientifiques et techniques d'Aquitaine (CESTA-CEA) [CESTA]
dc.contributor.authorMATHIAUD, Julien
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.accessioned2024-04-04T03:10:41Z
dc.date.available2024-04-04T03:10:41Z
dc.date.created2017-03-17
dc.date.issued2017
dc.identifier.issn0022-4715
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/193707
dc.description.abstractEnWe propose an extension of the Fokker-Planck model of the Boltzmann equation to get a correct Prandtl number in the Compressible Navier-Stokes asymptotics for polyatomic gases. This is obtained by replacing the diffusion coefficient (which is the equilibrium temperature) by a non diagonal temperature tensor, like the Ellipsoidal-Statistical model is obtained from the Bathnagar-Gross-Krook model of the Boltzmann equation, and by adding a diffusion term for the internal energy. Our model is proved to satisfy the properties of conservation and a H-theorem. A Chapman-Enskog analysis shows how to compute the transport coefficients of our model. Some numerical tests are performed to illustrate that a correct Prandtl number can be obtained.
dc.language.isoen
dc.publisherSpringer Verlag
dc.subject.enpolyatomic gas
dc.subject.enFokker-Planck model
dc.subject.enPrandtl number
dc.subject.enEllipsoidal-Statistical model
dc.subject.enH-theorem
dc.title.enA Fokker-Planck model of the Boltzmann equation with correct Prandtl number for polyatomic gases
dc.typeArticle de revue
dc.subject.halPhysique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph]
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
bordeaux.journalJournal of Statistical Physics
bordeaux.page1031-1055
bordeaux.volume168
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue5
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01493376
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01493376v1
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