@Article{CiCP-19-301,
author = {Guisset , S.Brull , S.Dubroca , B.d'Humières , E.Karpov , S. and Potapenko , I.},
title = {Asymptotic-Preserving Scheme for the M<sub>1</sub>-Maxwell System in the Quasi-Neutral Regime},
journal = {Communications in Computational Physics},
year = {2018},
volume = {19},
number = {2},
pages = {301--328},
abstract = {<p style="text-align: justify;">This work deals with the numerical resolution of the M<sub>1</sub>-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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.131014.030615a},
url = {http://global-sci.org/intro/article_detail/cicp/11090.html}
}