Location of Repository

Application of Lie Transform Techniques for simulation of a charged particle beam Mathieu Lutz ∗

By 

Abstract

We study a Lie Transform method for a charged beam under the action of a radial external electric field. The aim of the Lie transform method that is used here is to construct a change of variable which transforms the 2D kinetic problem into a 1D problem. This reduces the dimensionality of the problem and make it easier to solve numerically. After applying the Lie transform method, we truncate the expression of the characteristics of the Vlasov equation and the expression of the Poisson equation in the Lie coordinate system and we develop a numerical method for solving the truncated model and we study its efficiency for the simulation of long time beam evolution

Topics: Vlasov-Poisson system, kinetic equations, homogenization, Lie transform, Lie transform PIC
Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.372.320
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://hal.archives-ouvertes.f... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.