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hal-00653038, version 1

FInite Volume Schemes for Vlasov

Nicolas Crouseilles () a1, Pierre Glanc 23, Michel Mehrenberger () 23, Christophe Steiner 23

(16/12/2011)

Abstract: We present finite volumes schemes for the numerical approximation of the one-dimensional Vlasov-Poisson equation (FOV CEMRACS 2011 project). Stability analysis is performed for the linear advection and links with semi-Lagrangian schemes are made. Finally, numerical results enable to compare the diff erent methods using classical plasma test cases.

  • a –  INRIA
  • 1:  IPSO (INRIA - IRMAR)
  • CNRS : UMR6074 – INRIA – Université de Rennes 1
  • 2:  Institut de Recherche Mathématique Avancée (IRMA)
  • CNRS : UMR7501 – Université de Strasbourg
  • 3:  CALVI (INRIA Nancy - Grand Est / IECN / LSIIT / IRMA)
  • CNRS : UMR7005 – INRIA – Université de Strasbourg – Université de Lorraine
  • Domain : Mathematics/Numerical Analysis
    Mathematics/Analysis of PDEs
    Physics/Physics/Plasma Physics
  • Keywords : Vlasov-Poisson – Finite volume – advection equation – semi-lagrangian
 
  • hal-00653038, version 1
  • oai:hal.inria.fr:hal-00653038
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  • Submitted on: Friday, 16 December 2011 18:10:38
  • Updated on: Tuesday, 12 March 2013 14:16:55