Volume 19, Issue 2
Asymptotic-Preserving Scheme for the M1-Maxwell System in the Quasi-Neutral Regime

S. Guisset, S. Brull, B. Dubroca, E. d’Humières, S. Karpov & I. Potapenko

Commun. Comput. Phys., 19 (2016), pp. 301-328.

Published online: 2018-04

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  • 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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@Article{CiCP-19-301, author = {S. Guisset, S. Brull, B. Dubroca, E. d’Humières, S. Karpov and I. Potapenko}, title = {Asymptotic-Preserving Scheme for the M1-Maxwell System in the Quasi-Neutral Regime}, journal = {Communications in Computational Physics}, year = {2018}, volume = {19}, number = {2}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.131014.030615a}, url = {http://global-sci.org/intro/article_detail/cicp/11090.html} }
TY - JOUR T1 - Asymptotic-Preserving Scheme for the M1-Maxwell System in the Quasi-Neutral Regime AU - S. Guisset, S. Brull, B. Dubroca, E. d’Humières, S. Karpov & I. Potapenko JO - Communications in Computational Physics VL - 2 SP - 301 EP - 328 PY - 2018 DA - 2018/04 SN - 19 DO - http://dor.org/10.4208/cicp.131014.030615a UR - https://global-sci.org/intro/cicp/11090.html KW - AB -

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.

S. Guisset, S. Brull, B. Dubroca, E. d’Humières, S. Karpov & I. Potapenko. (1970). Asymptotic-Preserving Scheme for the M1-Maxwell System in the Quasi-Neutral Regime. Communications in Computational Physics. 19 (2). 301-328. doi:10.4208/cicp.131014.030615a
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