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Article Dans Une Revue Communications in Computational Physics Année : 2014

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

Résumé

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.
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Dates et versions

hal-01443252 , version 1 (22-01-2017)

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Jessy Mallet, Stéphane Brull, Bruno Dubroca. An entropic scheme for an angular moment model for the classical Fokker-Planck equation of electrons. Communications in Computational Physics, 2014, 15, pp.422 - 450. ⟨10.4208/cicp.050612.030513a⟩. ⟨hal-01443252⟩
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