An entropic scheme for an angular moment model for the classical Fokker-Planck 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 | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | DUBROCA, Bruno | |
| dc.date.accessioned | 2024-04-04T03:11:42Z | |
| dc.date.available | 2024-04-04T03:11:42Z | |
| dc.date.issued | 2014 | |
| dc.identifier.issn | 1815-2406 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193798 | |
| dc.description.abstractEn | In plasma physics domain, the electron transport is described with 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.en | entropy minimization | |
| dc.subject.en | Landau-Fokker-Planck equation | |
| dc.subject.en | moment systems | |
| dc.subject.en | entropic scheme | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.4208/cicp.050612.030513a | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| 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-01443252 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| dc.title.es | An entropic scheme for an angular moment model for the classical Fokker-Planck equation of electrons | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01443252v1 | |
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