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An entropic scheme for an angular moment model for the classical Fokker-Planck-Landau equation of electrons
hal.structure.identifier | Centre d'Etudes Lasers Intenses et Applications [CELIA] | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | MALLET, Jessy | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | BRULL, Stéphane | |
hal.structure.identifier | Centre d'Etudes Lasers Intenses et Applications [CELIA] | |
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | DUBROCA, Bruno | |
dc.date.accessioned | 2024-04-04T02:18:48Z | |
dc.date.available | 2024-04-04T02:18:48Z | |
dc.date.issued | 2014 | |
dc.identifier.issn | 1815-2406 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189346 | |
dc.description.abstractEn | In plasma physics domain, the electron transport is describedwith the Fokker- Planck-Landau equation. The direct numerical solution of the kinetic equation is usually intractable due to the large number of independent variables. That is why we propose in this paper a new model whose derivation is based on an angular closure in the phase space and retains only the energy of particles as kinetic dimension. To find a solution compatible with physics conditions, the closure of the moment system is obtained under a minimum entropy principle. This model is proved to satisfy the fundamental properties like a H theorem. Moreover an entropic discretization in the velocity variable is proposed on the semi-discrete model. Finally, we validate on numerical test cases the fundamental properties of the full discrete model. | |
dc.language.iso | en | |
dc.publisher | Global Science Press | |
dc.subject | entropy minimization | |
dc.subject | Landau-Fokker-Planck equation | |
dc.subject | moment systems | |
dc.subject | entropic scheme. | |
dc.subject | entropic scheme | |
dc.title.en | An entropic scheme for an angular moment model for the classical Fokker-Planck-Landau equation of electrons | |
dc.type | Article de revue | |
dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
bordeaux.journal | Communications in Computational Physics | |
bordeaux.page | 422-450 | |
bordeaux.volume | 15 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-00960296 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-00960296v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Communications%20in%20Computational%20Physics&rft.date=2014&rft.volume=15&rft.spage=422-450&rft.epage=422-450&rft.eissn=1815-2406&rft.issn=1815-2406&rft.au=MALLET,%20Jessy&BRULL,%20St%C3%A9phane&DUBROCA,%20Bruno&rft.genre=article |
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