Commun. Comput. Phys., 15 (2014), pp. 1167-1183.


A Nonlinear PIC Algorithm for High Frequency Waves in Magnetized Plasmas Based on Gyrocenter Gauge Kinetic Theory

Jian Liu 1, Zhi Yu 2*, Hong Qin 3

1 Department of Modern Physics and Collaborative Innovation Center for Advanced Fusion Energy and Plasma Sciences, University of Science and Technology of China, Hefei, Anhui 230026, China; Key Laboratory of Geospace Environment, University of Science and Technology of China, Chinese Academy of Sciences, Hefei, Anhui 230026, China.
2 Theory and Simulation Division, Institute of Plasma Physics, Chinese Academy of Sciences, Hefei, Anhui 230031, China; Key Laboratory of Geospace Environment, University of Science and Technology of China, Chinese Academy of Sciences, Hefei, Anhui 230026, China.
3 Department of Modern Physics and Collaborative Innovation Center for Advanced Fusion Energy and Plasma Sciences, University of Science and Technology of China, Hefei, Anhui 230026, China; Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543, USA.

Received 15 March 2013; Accepted (in revised version) 5 December 2013
Available online 21 January 2014
doi:10.4208/cicp.150313.051213s

Abstract

Numerical methods based on gyrocenter gauge kinetic theory are suitable for first principle simulations of high frequency waves in magnetized plasmas. The $\delta$f gyrocenter gauge PIC simulation for linear rf wave has been previously realized. In this paper we further develop a full-f nonlinear PIC algorithm appropriate for the nonlinear physics of high frequency waves in magnetized plasmas. Numerical cases of linear rf waves are calculated as a benchmark for the nonlinear GyroGauge code, meanwhile nonlinear rf-wave phenomena are studied. The technique and advantage of the reduction of the numerical noise in this full-f gyrocenter gauge PIC algorithm are also discussed.

AMS subject classifications: 65Z05, 70K70, 70K75, 78M34

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Key words: Gyrocenter gauge kinetics, multi-scale problem, nonlinear system, particle-in-cell.

*Corresponding author.
Email: jliuphy@ustc.edu.cn (J. Liu), yuzhi@ipp.ac.cn (Z. Yu), hongqin@ustc.edu.cn (H. Qin)
 

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