TY - JOUR
T1 - An Entropic Scheme for an Angular Moment Model for the Classical Fokker-Planck-Landau Equation of Electrons
AU - Jessy Mallet, Stéphane Brull & Bruno Dubroca
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 - <p style="text-align: justify;">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.</p>