Title
Improved numerical Cherenkov instability suppression in the generalized PSTD PIC algorithm.
Abstract
The family of generalized Pseudo-Spectral Time Domain (including the Pseudo-Spectral Analytical Time Domain) Particle-in-Cell algorithms offers substantial versatility for simulating particle beams and plasmas, and well written codes using these algorithms run reasonably fast. When simulating relativistic beams and streaming plasmas in multiple dimensions, they are, however, subject to the numerical Cherenkov instability. Previous studies have shown that instability growth rates can be reduced substantially by modifying slightly the transverse fields as seen by the streaming particles. Here, we offer an approach which completely eliminates the fundamental mode of the numerical Cherenkov instability while minimizing the transverse field corrections. The procedure, numerically computed residual growth rates (from weaker, higher order instability aliases), and comparisons with simulations using the code Warp are presented. In some instances, there are no numerical instabilities whatsoever, at least in the linear regime.
Year
DOI
Venue
2015
10.1016/j.cpc.2015.06.008
Computer Physics Communications
Keywords
Field
DocType
Particle-in-cell,Pseudo-Spectral Time-Domain,Relativistic beam,Numerical stability
Time domain,Residual,Mathematical optimization,Particle-in-cell,Transverse plane,Instability,Algorithm,Cherenkov radiation,Beam (structure),Numerical stability,Physics
Journal
Volume
ISSN
Citations 
196
0010-4655
4
PageRank 
References 
Authors
0.47
7
2
Name
Order
Citations
PageRank
Brendan B. Godfrey1495.87
Jean-Luc Vay27310.83