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

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• 作者：Eric M. Wolf^a ; ^{wolferi1@msu.edu" class="auth_mail" title="E-mail the corresponding author} ; Matthew Causley^b ; ^{mcausley@kettering.edu" class="auth_mail" title="E-mail the corresponding author} ; Andrew Christlieb^a ; ^{andrewch@math.msu.edu" class="auth_mail" title="E-mail the corresponding author} ; Matthew Bettencourt^c ; ^{mbetten@sandia.gov" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Computational plasma physics ; Unconditionally stable field solver ; Particle-in-cell
• 刊名：Journal of Computational Physics
• 出版年：2016
• 出版时间：1 December 2016
• 年：2016
• 卷：326
• 期：Complete
• 页码：342-372
• 全文大小：2843 K

文摘

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.