GUISSET, Sébastien; BRULL, Stéphane; D'HUMIÈRES, Emmanuel; DUBROCA, Bruno

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GUISSET, Sébastien
Centre d'Etudes Lasers Intenses et Applications [CELIA]
Institut de Mathématiques de Bordeaux [IMB]

BRULL, Stéphane
Institut de Mathématiques de Bordeaux [IMB]

D'HUMIÈRES, Emmanuel
Centre d'Etudes Lasers Intenses et Applications [CELIA]
Institut de Mathématiques de Bordeaux [IMB]

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Document de travail - Pré-publication

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This work deals with the numerical resolution of the Fokker-Planck-Maxwell system in the quasi-neutral regime. In this regime the sti ness of the stability constraints of classic 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 di erent regimes. The rst one shows the e ciency of the Asymptotic-Preserving scheme in the quasi-neutral regime whereas the second one on the contrary corresponds to a regime where electromagnetic e ects are predominant.< Leer menos

Palabras clave

angular M1 moments model

Asymptotic-Preserving scheme

Fokker-Planck-Landau equation

Maxwell equations

quasi-neutral limit

angular M1 moments model.

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ASYMPTOTIC-PRESERVING SCHEME FOR THE FOKKER-PLANCK-LANDAU-MAXWELL SYSTEM IN THE QUASI-NEUTRAL REGIME.

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