@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 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} }