期刊
COMMUNICATIONS IN COMPUTATIONAL PHYSICS
卷 15, 期 2, 页码 422-450出版社
GLOBAL SCIENCE PRESS
DOI: 10.4208/cicp.050612.030513a
关键词
Entropy minimization; Landau-Fokker-Planck equation; moment systems; entropic scheme
资金
- EURATOM
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.
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