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Charge-and-energy conserving moment-based accelerator for a multi-species Vlasov–Fokker–Planck–Ampère system, part I: Collisionless aspects.

Authors :
Taitano, William T.
Chacón, Luis
Source :
Journal of Computational Physics. Mar2015, Vol. 284, p718-736. 19p.
Publication Year :
2015

Abstract

In this study, we propose a charge, momentum, and energy conserving discretization for the 1D–1V Vlasov–Ampère system of equations on an Eulerian grid. The new conservative discretization is nonlinear in nature, but can be efficiently converged with a moment-based nonlinear accelerator algorithm. We demonstrate the conservation and convergence properties of the scheme with various numerical examples, including a multi-scale ion–acoustic shockwave problem. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00219991
Volume :
284
Database :
Academic Search Index
Journal :
Journal of Computational Physics
Publication Type :
Academic Journal
Accession number :
100759633
Full Text :
https://doi.org/10.1016/j.jcp.2014.12.038