A Fokker-Planck model of the Boltzmann equation with correct Prandtl number for polyatomic gases
| hal.structure.identifier | Centre d'études scientifiques et techniques d'Aquitaine [CESTA] | |
| dc.contributor.author | MATHIAUD, Julien | |
| hal.structure.identifier | Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MIEUSSENS, Luc | |
| dc.date.accessioned | 2024-04-04T03:10:41Z | |
| dc.date.available | 2024-04-04T03:10:41Z | |
| dc.date.created | 2017-03-17 | |
| dc.date.issued | 2017 | |
| dc.identifier.issn | 0022-4715 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193707 | |
| dc.description.abstractEn | We 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.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | polyatomic gas | |
| dc.subject.en | Fokker-Planck model | |
| dc.subject.en | Prandtl number | |
| dc.subject.en | Ellipsoidal-Statistical model | |
| dc.subject.en | H-theorem | |
| dc.title.en | A Fokker-Planck model of the Boltzmann equation with correct Prandtl number for polyatomic gases | |
| dc.type | Article de revue | |
| dc.subject.hal | Physique [physics]/Mécanique [physics]/Mécanique des fluides [physics.class-ph] | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| bordeaux.journal | Journal of Statistical Physics | |
| bordeaux.page | 1031-1055 | |
| bordeaux.volume | 168 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 5 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01493376 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01493376v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Statistical%20Physics&rft.date=2017&rft.volume=168&rft.issue=5&rft.spage=1031-1055&rft.epage=1031-1055&rft.eissn=0022-4715&rft.issn=0022-4715&rft.au=MATHIAUD,%20Julien&MIEUSSENS,%20Luc&rft.genre=article |
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