@Article{CiCP-15-2, author = {}, title = {An Entropic Scheme for an Angular Moment Model for the Classical Fokker-Planck-Landau Equation of Electrons}, journal = {Communications in Computational Physics}, year = {2014}, volume = {15}, number = {2}, pages = {422--450}, abstract = {
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.
}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.050612.030513a}, url = {https://global-sci.com/article/80495/an-entropic-scheme-for-an-angular-moment-model-for-the-classical-fokker-planck-landau-equation-of-electrons} }