Asymptotic-Preserving Scheme for the M1-Maxwell System in the Quasi-Neutral Regime. (1st February 2016)

• Record Type: Journal Article
• Authors: Guisset, S.; Brull, S.; Dubroca, B.; d'Humières, E.; Karpov, S.; Potapenko, I.
• Is Part Of: Communications in computational physics. Volume 19:Number 2(2016:Feb.)
• Page Start: 301
• Page End: 328
• Publication Date: 2016-02-01
• Subjects: 82D10, -- 82B40, -- 82C40; Asymptotic-Preserving scheme, -- Fokker-Planck-Landau equation, -- Maxwell equations, -- quasi-neutral limit, -- angular M1 moments model; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.131014.030615a
• Languages: English
• ISSNs: 1815-2406

Abstract

Abstract: This work deals with the numerical resolution of the M1 -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.