3D numerical approximation of relativistic particle beams by asymptotic expansion

Franck Assous, Anne Le Blanc

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We consider the numerical approximation and simulation of a particle beam, usually modeled by the Vlasov-Maxwell system. Our work will deal with a 3D paraxial approximate model, derived from asymptotic expansions. It includes a finite element numerical implementation of the paraxial Maxwell model coupled with a Particle-In-Cell method for the corresponding paraxial Vlasov model. Both methods are implemented with Freefem++ software. Numerical results illustrated the efficiency of the method.

Original languageEnglish
Title of host publicationCOUPLED PROBLEMS 2015 - Proceedings of the 6th International Conference on Coupled Problems in Science and Engineering
EditorsBernhard A. Schrefler, Eugenio Onate, Manolis Papadrakakis
Pages635-644
Number of pages10
ISBN (Electronic)9788494392832
StatePublished - 1 Apr 2015
Event6th International Conference on Computational Methods for Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2015 - Venice, Italy
Duration: 18 May 201520 May 2015

Publication series

NameCOUPLED PROBLEMS 2015 - Proceedings of the 6th International Conference on Coupled Problems in Science and Engineering

Conference

Conference6th International Conference on Computational Methods for Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2015
Country/TerritoryItaly
CityVenice
Period18/05/1520/05/15

Keywords

  • Asymptotic methods
  • Numerical schemes
  • Paraxial approximation
  • Relativistic beams
  • Vlasov-Maxwell equations

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