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inria-00127747, version 2

Vlasov laser-plasma interaction simulations with a moving grid

Nicolas Crouseilles () 1, Alain Ghizzo () a, 1, Stéphanie Salmon () 1, 2

N° RR-6109 (2007)

Abstract: The present work focuses on the numerical resolution of a reduced $1$D Vlasov-Maxwell system introduced recently in the physical literature for studying laser-plasma interaction. This system can be seen as a standard Vlasov equation in which the force term is split into two terms: the classical electrostatic field obtained from the Poisson's equation and a magnetic term evolving through Maxwell's type equations. A semi-Lagrangian code is used to study the interaction of ultrashort electromagnetic pulse with plasma; however during the major part of the simulation, many of the grid points are wasted. We then introduce a dynamic mesh which allows us to consider the part of the phase space where the distribution function is not zero.

  • a –  Université Henri Poincaré - Nancy I
  • 1:  CALVI (INRIA Nancy - Grand Est / IECN / LSIIT / IRMA)
  • CNRS : UMR7005 – INRIA – Université de Strasbourg – Université de Lorraine
  • 2:  Institut de Recherche Mathématique Avancée (IRMA)
  • CNRS : UMR7501 – Université Louis Pasteur - Strasbourg I
  • Domain : Mathematics/Numerical Analysis
    Physics/Physics/Computational Physics
  • Keywords : Vlasov equation – semi-Lagrangian method – relativistic regime – moving grid
  • Internal note : RR-6109
  • Available versions :  v1 (2007-01-29) v2 (2007-01-30)
 
  • inria-00127747, version 2
  • http://hal.inria.fr/inria-00127747
  • oai:hal.inria.fr:inria-00127747
  • From: Rapport De Recherche Inria <>
  • Submitted on: Tuesday, 30 January 2007 10:13:39
  • Updated on: Tuesday, 30 January 2007 10:14:21