In plasma physics domain,the electron transport is described with the FokkerPlanck-Landau equation.The direct numerical solution of the kinetic equation is usually intractable due to the large number of independent va...In plasma physics domain,the electron transport is described with the FokkerPlanck-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.展开更多
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).
文摘In plasma physics domain,the electron transport is described with the FokkerPlanck-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.
