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Computer Physics Communications
Volume 164, Issues 1-3, 1-15 December 2004, Pages 138-149
Proceedings of the 18th International Conferene on the Numerical Simulation of Plasmas
 
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doi:10.1016/j.cpc.2004.06.022    
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Copyright © 2004 Elsevier B.V. All rights reserved.

Study of the generation of a charge separation and electric field at a plasma edge using Eulerian Vlasov codes in cylindrical geometry

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M. ShoucriCorresponding Author Contact Information, E-mail The Corresponding Author, a, H. Gerhauserb and K. -H. Finkenb

a Institut de recherche d'Hydro-Québec, 1800, boul. Lionel-Boulet, Varennes, Québec, Canada J3X 1S1

b Institut für Plasmaphysik, Forschungszentrum Jülich GmbH, EURATOM Association, Trilateral Euregio Cluster, D-52425, Jülich, Germany


Available online 23 July 2004.

Abstract

A one-dimensional (1D) Eulerian Vlasov code in cylindrical geometry is used to study the problem of the formation of a charge separation at a plasma edge, together with the self-consistent electric field, in the presence of a density gradient. The code applies a method of fractional steps for the solution of the Vlasov equation. The electric field calculated along the gradient is compared with the macroscopic values calculated from the same kinetic code for the gradient of the ion pressure and the Lorentz force term. We find that these quantities balance the electric field fairly well along the gradient. The extension of this method to a two-dimensional (2D) problem will be presented, together with the corresponding results.

Author Keywords: Vlasov equation; Numerical simulation; Edge-plasma electric field

Article Outline

1. Introduction
2. The relevant equations and the numerical method for the 1D problem
3. Results for the 1D problem
4. The relevant equations and the numerical method for the 2D problem
5. Results for the 2D problem
6. Conclusions
Acknowledgements
Appendix A. 2D B-spline interpolation with periodic boundary conditions in one direction
References

















Corresponding Author Contact InformationCorresponding author.


Computer Physics Communications
Volume 164, Issues 1-3, 1-15 December 2004, Pages 138-149
Proceedings of the 18th International Conferene on the Numerical Simulation of Plasmas
 
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