Journal
COMMUNICATIONS IN COMPUTATIONAL PHYSICS
Volume 19, Issue 2, Pages 301-328Publisher
GLOBAL SCIENCE PRESS
DOI: 10.4208/cicp.131014.030615a
Keywords
Asymptotic-Preserving scheme; Fokker-Planck-Landau equation; Maxwell equations; quasi-neutral limit; angular M-1 moments model
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This work deals with the numerical resolution of the M-1-Maxwell system in the quasi-neutral regime. In this regime the stiffness of the stability constraints of classical schemes causes huge calculation times. That is why we introduce a new stable numerical scheme consistent with the transitional and limit models. Such schemes are called Asymptotic-Preserving (AP) schemes in literature. This new scheme is able to handle the quasi-neutrality limit regime without any restrictions on time and space steps. This approach can be easily applied to angular moment models by using a moments extraction. Finally, two physically relevant numerical test cases are presented for the Asymptotic-Preserving scheme in different regimes. The first one corresponds to a regime where electromagnetic effects are predominant. The second one on the contrary shows the efficiency of the Asymptotic-Preserving scheme in the quasi-neutral regime. In the latter case the illustrative simulations are compared with kinetic and hydrodynamic numerical results.
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