Hostname: page-component-848d4c4894-8kt4b Total loading time: 0 Render date: 2024-06-20T07:57:50.072Z Has data issue: false hasContentIssue false

High-Order Interpolation Algorithms for Charge Conservation in Particle-in-Cell Simulations

Published online by Cambridge University Press:  03 June 2015

Jinqing Yu*
Affiliation:
Vacuum Electronics National Laboratory, University of Electronic Science and Technology of China, Chengdu 610054, China Research Center of Laser Fusion, China Academy of Engineering Physics, Mianyang 621900, China
Xiaolin Jin*
Affiliation:
Vacuum Electronics National Laboratory, University of Electronic Science and Technology of China, Chengdu 610054, China
Weimin Zhou*
Affiliation:
Research Center of Laser Fusion, China Academy of Engineering Physics, Mianyang 621900, China
Bin Li*
Affiliation:
Vacuum Electronics National Laboratory, University of Electronic Science and Technology of China, Chengdu 610054, China
Yuqiu Gu*
Affiliation:
Research Center of Laser Fusion, China Academy of Engineering Physics, Mianyang 621900, China
*
Corresponding author.Email:yqgu@caep.ac.cn
Corresponding author.Email:yqgu@caep.ac.cn

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

High-order interpolation algorithms for charge conservation in Particle-in-Cell (PIC) simulations are presented. The methods are valid for the case that a particle trajectory is a zigzag line. The second-order and third-order algorithms which can be applied to any even-order and odd-order are discussed in this paper, respectively. Several test simulations are performed to demonstrate their validity in two-dimensional PIC code. Compared with the simulation results of one-order, high-order algorithms have advantages in computation precision and enlarging the grid scales which reduces the CPU time.

Type
Research Article
Copyright
Copyright © Global Science Press Limited 2013

References

[1]Esirkepov, T. Zh., Exact charge conservation for particle-in-cell simulation with an arbitrary form-factor, Comput, Phys. Commun., 135 (2001), 144153.Google Scholar
[2]Eastwood, J. W., The virtual particle electromagnetic particle-mesh method, Comput. Phys. Commun., 64 (1991), 252.Google Scholar
[3]Eastwood, J. W., Arter, W., Brealey, N. J. and Hockney, R. W., Body-fitted electromagnetic PIC software for use on parallel computers, Comput. Phys. Commun., 87 (1995), 155.Google Scholar
[4]Morse, R. L. and Nielson, C. W., Numerical simulation of the Weibel instability in one and two dimensions, Phys. Fluids, 14 (1971), 830.Google Scholar
[5]Vshivkov, V. A., Kraeva, M. A. and Malyshkin, V. E., Parallel implementation of the particle-in-cell method, Program. Comput. Software, 23(2) (1997), 8797.Google Scholar
[6]Villasenor, J. and Buneman, O., Rigorous charge conservation for local electromagnetic field solvers, Comput. Phys. Commun., 69 (1992), 306.Google Scholar
[7]Umeda, T., Omura, Y., Tominaga, T. and Matsumoto, H., A new charge conservation method in electromagnetic particle-in-cell simulations, Comput. Phys. Commun., 156 (2003), 7385.Google Scholar
[8]Umeda, T., Omura, Y., Tominaga, T. and Matsumoto, H., Charge conservation methods for computing cureent densities in electromagnetic particle-in-cell simulations, Proceedings of ISSS-7,2631 March, 2005.Google Scholar
[9]Abe, H., Sakairi, N., Itatani, R. and Okuda, H., High-order spline interpolations in the particle simulation, J. Comput. Phys., 63 (1986), 247267.CrossRefGoogle Scholar
[10]Birdsall, C. K. and Langdon, A. B., Plasma Physics Via Computer Simulation, Adam-HIkger, 1991.Google Scholar
[11]Zhou, W. M., Research on Laser Plasma Acceleration by Particle-in-Cell Simulation, Osaka University, 2008.Google Scholar
[12]Wilks, S. C., Kruer, W. L., Tabak, M. and Langdon, A. B., Absorption of ultra-intense laser pulses, Phys. Rev. Lett., 69 (1992), 13831386.Google Scholar