A kinetic approach of the bi-temperature euler model
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BRULL, Stéphane | |
| hal.structure.identifier | Laboratoire des Composites Thermostructuraux [LCTS] | |
| dc.contributor.author | DUBROCA, Bruno | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | PRIGENT, Corentin | |
| dc.date.accessioned | 2024-04-04T02:45:49Z | |
| dc.date.available | 2024-04-04T02:45:49Z | |
| dc.date.issued | 2020 | |
| dc.identifier.issn | 1937-5093 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191500 | |
| dc.description.abstractEn | We are interested in the numerical approximation of the bi-temperature Euler equations, which is a non conservative hyperbolic system introduced in [4]. We consider a conservative underlying kinetic model, the Vlasov-BGK-Poisson system. We perform a scaling on this system in order to obtain its hydrodynamic limit. We present a deterministic numerical method to approximate this kinetic system. The method is shown to be Asymptotic-Preserving in the hydrodynamic limit, which means that any stability condition of the method is independant of any parameter ε, with ε→0. We prove that the method is, under appropriate choices, consistant with the solution for bi-temperature Euler. Finally, our method is compared to methods for the fluid model (HLL, Suliciu). | |
| dc.language.iso | en | |
| dc.publisher | AIMS | |
| dc.subject.en | Bgk model | |
| dc.subject.en | asympotic preserving scheme | |
| dc.subject.en | nonconservative hyperbolic system | |
| dc.subject.en | plasma physics | |
| dc.subject.en | kinetic scheme | |
| dc.title.en | A kinetic approach of the bi-temperature euler model | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.3934/krm.2020002 | |
| dc.subject.hal | Chimie/Matériaux | |
| bordeaux.journal | Kinetic and Related Models | |
| bordeaux.volume | 13 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-03334361 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-03334361v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Kinetic%20and%20Related%20Models&rft.date=2020&rft.volume=13&rft.issue=1&rft.eissn=1937-5093&rft.issn=1937-5093&rft.au=BRULL,%20St%C3%A9phane&DUBROCA,%20Bruno&PRIGENT,%20Corentin&rft.genre=article |
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