An Entropic Scheme for an Angular Moment Model for the Classical Fokker-Planck-Landau Equation of Electrons

作     者：Jessy Mallet Stephane Brull Bruno Dubroca 

作者机构：Univ.BordeauxCELIAUMR 5107F-33400 TalenceFrance. Univ.BordeauxIMBUMR 5251F-33400 TalenceFrance. 

出 版 物：《Communications in Computational Physics》 (计算物理通讯（英文）)

年 卷 期：2014年第15卷第2期

页      面：422-450页

核心收录：

学科分类：07[理学] 0704[理学-天文学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学] 

基　　金：supported by EURATOM within the"Keep-in-Touch"activities and was granted access to the HPC resources of CINES under the allocation 2011-056129 made by GENCI(Grand Equipement National de Calcul Intensif) 

主　　题：Entropy minimization Landau-Fokker-Planck equation moment systems entropic scheme. 

摘      要：In plasma physics domain,the electron transport is described with the FokkerPlanck-Landau *** direct numerical solution of the kinetic equation is usually intractable due to the large number of independent *** 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 *** find a solution compatible with physics conditions,the closure of the moment system is obtained under a minimum entropy *** model is proved to satisfy the fundamental properties like a H *** an entropic discretization in the velocity variable is proposed on the semi-discrete ***,we validate on numerical test cases the fundamental properties of the full discrete model.