Asymptotic-Preserving Particle-In-Cell method for the Vlasov-Poisson system near quasineutrality

  • Authors:

  • Pierre Degond;Fabrice Deluzet;Laurent Navoret;An-Bang Sun;Marie-Hélène Vignal

  • Affiliations:

  • Université de Toulouse, UPS, INSA, UT1, UTM, Institut de Mathématiques de Toulouse, F-31062 Toulouse, France and CNRS, Institut de Mathmatiques de Toulouse, UMR 5219, F-31062 Toulouse, F ...;Université de Toulouse, UPS, INSA, UT1, UTM, Institut de Mathématiques de Toulouse, F-31062 Toulouse, France and CNRS, Institut de Mathmatiques de Toulouse, UMR 5219, F-31062 Toulouse, F ...;Université de Toulouse, UPS, INSA, UT1, UTM, Institut de Mathématiques de Toulouse, F-31062 Toulouse, France and CNRS, Institut de Mathmatiques de Toulouse, UMR 5219, F-31062 Toulouse, F ...;Université de Toulouse, UPS, INSA, UT1, UTM, Institut de Mathématiques de Toulouse, F-31062 Toulouse, France and CNRS, Institut de Mathmatiques de Toulouse, UMR 5219, F-31062 Toulouse, F ...;Université de Toulouse, UPS, INSA, UT1, UTM, Institut de Mathématiques de Toulouse, F-31062 Toulouse, France and CNRS, Institut de Mathmatiques de Toulouse, UMR 5219, F-31062 Toulouse, F ...

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2010

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Abstract

This paper deals with the numerical resolution of the Vlasov-Poisson system in a nearly quasineutral regime by Particle-In-Cell (PIC) methods. In this regime, Classical PIC methods are subject to stability constraints on the time and space steps related to the small Debye length and large plasma frequency. Here, we propose an ''Asymptotic-Preserving'' PIC scheme which is not subjected to these limitations. Additionally, when the plasma period and Debye length are small compared to the time and space steps, this method provides a consistent PIC discretization of the quasineutral Vlasov equation. We perform several one-dimensional numerical experiments which provide a solid validation of the method and its underlying concepts, and compare the method with Classical PIC and Direct-Implicit methods.