TY - JOUR T1 - An Entropic Scheme for an Angular Moment Model for the Classical Fokker-Planck-Landau Equation of Electrons JO - Communications in Computational Physics VL - 2 SP - 422 EP - 450 PY - 2014 DA - 2014/02 SN - 15 DO - http://doi.org/10.4208/cicp.050612.030513a UR - https://global-sci.org/intro/article_detail/cicp/7100.html KW - AB -

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.