MALLET, Jessy; BRULL, Stéphane; DUBROCA, Bruno

doi:10.4208/cicp.050612.030513a

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MALLET, Jessy
Centre d'Etudes Lasers Intenses et Applications [CELIA]
Institut de Mathématiques de Bordeaux [IMB]

BRULL, Stéphane
Institut de Mathématiques de Bordeaux [IMB]

DUBROCA, Bruno
Institut de Mathématiques de Bordeaux [IMB]

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Communications in Computational Physics. 2014, vol. 15, p. 422 - 450

Global Science Press

Résumé en anglais

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.< Réduire

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entropy minimization

Landau-Fokker-Planck equation

moment systems

entropic scheme

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An entropic scheme for an angular moment model for the classical Fokker-Planck equation of electrons

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