Title
A particle-in-cell method for the simulation of plasmas based on an unconditionally stable field solver
Document Type
Article
Publication Date
12-1-2016
Publication Title
Journal of Computational Physics
Abstract
We propose a new particle-in-cell (PIC) method for the simulation of plasmas based on a recently developed, unconditionally stable solver for the wave equation. This method is not subject to a CFL restriction, limiting the ratio of the time step size to the spatial step size, typical of explicit methods, while maintaining computational cost and code complexity comparable to such explicit schemes. We describe the implementation in one and two dimensions for both electrostatic and electromagnetic cases, and present the results of several standard test problems, showing good agreement with theory with time step sizes much larger than allowed by typical CFL restrictions.
Volume
326
Issue
1
First Page
342
Last Page
372
DOI
https://doi.org/10.1016/j.jcp.2016.08.006
ISSN
0021-9991
Rights
Elsevier
Recommended Citation
Wolf, Eric M.; Causley, Matthew; Christlieb, Andrew; and Bettencourt, Matthew, "A particle-in-cell method for the simulation of plasmas based on an unconditionally stable field solver" (2016). Mathematics Publications. 94.
https://digitalcommons.kettering.edu/mathematics_facultypubs/94