An asymptotic preserving scheme for the Kac model of the Boltzmann equation in the diffusion limit
| hal.structure.identifier | Institut de Mathématiques de Toulouse UMR5219 [IMT] | |
| dc.contributor.author | BENNOUNE, Mounir | |
| hal.structure.identifier | Institut de Recherche Mathématique de Rennes [IRMAR] | |
| dc.contributor.author | LEMOU, Mohammed | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MIEUSSENS, Luc | |
| dc.date.accessioned | 2024-04-04T02:39:53Z | |
| dc.date.available | 2024-04-04T02:39:53Z | |
| dc.date.created | 2009-03-09 | |
| dc.date.issued | 2009 | |
| dc.identifier.issn | 0935-1175 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191016 | |
| dc.description.abstractEn | In this paper we propose a numerical scheme to solve the Kac model of the Boltzmann equation for multiscale rarefied gas dynamics. This scheme is uniformly stable with respect to the Knudsen number, consistent with the fluid-diffusion limit for small Knudsen numbers, and with the Kac equation in the kinetic regime. Our approach is based on the micro-macro decomposition which leads to an equivalent formulation of the Kac model that couples a kinetic equation with macroscopic ones. This method is validated with various test cases and compared to other standard methods. | |
| dc.language.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject.en | kinetic-equations | |
| dc.subject.en | numerical schemes | |
| dc.subject.en | relaxation schemes | |
| dc.subject.en | gas | |
| dc.title.en | An asymptotic preserving scheme for the Kac model of the Boltzmann equation in the diffusion limit | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1007/s00161-009-0116-2 | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| bordeaux.journal | Continuum Mechanics and Thermodynamics | |
| bordeaux.page | 401-421 | |
| bordeaux.volume | 21 | |
| 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-00383271 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00383271v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Continuum%20Mechanics%20and%20Thermodynamics&rft.date=2009&rft.volume=21&rft.issue=5&rft.spage=401-421&rft.epage=401-421&rft.eissn=0935-1175&rft.issn=0935-1175&rft.au=BENNOUNE,%20Mounir&LEMOU,%20Mohammed&MIEUSSENS,%20Luc&rft.genre=article |
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