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Asymptotic-Preserving Scheme for the M<sub>1</sub>-Maxwell System in the Quasi-Neutral Regime

Asymptotic-Preserving Scheme for the M<sub>1</sub>-Maxwell System in the Quasi-Neutral Regime
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Year:    2016

Author:    S. Guisset, S. Brull, B. Dubroca, E. d'Humières, S. Karpov, I. Potapenko

Communications in Computational Physics, Vol. 19 (2016), Iss. 2 : pp. 301–328

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.131014.030615a

Communications in Computational Physics, Vol. 19 (2016), Iss. 2 : pp. 301–328

Published online:    2016-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    28

Keywords:   

Author Details

S. Guisset

S. Brull

B. Dubroca

E. d'Humières

S. Karpov

I. Potapenko

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