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Title: A particle-in-cell method for the simulation of plasmas based on an unconditionally stable field solver

Here, 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.
Authors:
 [1] ;  [2] ;  [1] ;  [3]
  1. Michigan State Univ., East Lansing, MI (United States)
  2. Kettering Univ., Flint, MI (United States)
  3. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Publication Date:
Report Number(s):
SAND-2015-0147J
Journal ID: ISSN 0021-9991; PII: S0021999116303461; TRN: US1700126
Grant/Contract Number:
AC04-94AL85000
Type:
Accepted Manuscript
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 326; Journal Issue: C; Journal ID: ISSN 0021-9991
Publisher:
Elsevier
Research Org:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org:
USDOE National Nuclear Security Administration (NNSA), Office of Defense Nuclear Nonproliferation (NA-20)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; computational plasma physics; unconditionally stable field solver; particle-in-cell
OSTI Identifier:
1333569

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. United States: N. p., Web. doi:10.1016/j.jcp.2016.08.006.
Wolf, Eric M., Causley, Matthew, Christlieb, Andrew, & Bettencourt, Matthew. A particle-in-cell method for the simulation of plasmas based on an unconditionally stable field solver. United States. doi:10.1016/j.jcp.2016.08.006.
Wolf, Eric M., Causley, Matthew, Christlieb, Andrew, and Bettencourt, Matthew. 2016. "A particle-in-cell method for the simulation of plasmas based on an unconditionally stable field solver". United States. doi:10.1016/j.jcp.2016.08.006. https://www.osti.gov/servlets/purl/1333569.
@article{osti_1333569,
title = {A particle-in-cell method for the simulation of plasmas based on an unconditionally stable field solver},
author = {Wolf, Eric M. and Causley, Matthew and Christlieb, Andrew and Bettencourt, Matthew},
abstractNote = {Here, 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.},
doi = {10.1016/j.jcp.2016.08.006},
journal = {Journal of Computational Physics},
number = C,
volume = 326,
place = {United States},
year = {2016},
month = {8}
}