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

Published online by Cambridge University Press:  03 June 2015

Jian Liu ,
Zhi Yu  and
Hong Qin
Jian Liu
Affiliation:
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
Zhi Yu*
Affiliation:
Key Laboratory of Geospace Environment, University of Science and Technology of China, Chinese Academy of Sciences, Hefei, Anhui 230026, China Theory and Simulation Division, Institute of Plasma Physics, Chinese Academy of Sciences, Hefei, Anhui 230031, China
Hong Qin*
Affiliation:
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
*
Corresponding author.Email:[email protected]
Email:[email protected]
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Abstract

Numerical methods based on gyrocenter gauge kinetic theory are suitable for first principle simulations of high frequency waves in magnetized plasmas. The δf 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.

Keywords

65Z0570K7070K7578M34Gyrocenter gauge kineticsmulti-scale problemnonlinear systemparticle-in-cell
Type
Research Article
Information
Communications in Computational Physics , Volume 15 , Issue 4 , April 2014 , pp. 1167 - 1183
Copyright
Copyright © Global Science Press Limited 2014

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References

[1]Fisch, N. J.Confining a tokamak plasma with rf-driven currents. Phys. Rev. Lett., 41:873–876, 1978.Google Scholar
[2]Fisch, N. J.Theory of current drive in plasmas. Rev. Mod. Phys., 59:175–234, 1987.Google Scholar
[3]Golant, V. E. and Fedorov, V. I.RF plasma heating in toroidal fusion devices. Consultants Bureau, New York, 1989.Google Scholar
[4]Hooke, W.Review of experiments on current drive in tokamaks by means of rf waves. Plasma Phys. Contol. Fusion, 261:133, 1984.Google Scholar
[5]Guan, X. Y., Qin, H., Liu, J., and Fisch, N. J.On the toroidal plasma rotations induced by lower hybrid waves. Phys. Plasmas, 20:022502, 2013.Google Scholar
[6]Ince-Cushman, A., Rice, J. E., Reinke, M., Greenwald, M., Wallace, G., Parker, R., Fiore, C., Hughes, J. W., Bonoli, P., Shiraiwa, S., Hubbard, A., Wolfe, S., Hutchinson, I. H., Marmar, E., Bitter, M., Wilson, J., and Hill, K.Observation of self-generated flows in tokamak plasmas with lower-hybrid-driven current. Phys. Rev. Lett., 102:035002, 2009.Google Scholar
[7]Rice, J. E., Ince-Cushman, A. C., Bonoli, P. T., Greenwald, M. J., Hughes, J. W., Parker, R. R., Reinke, M. L., Wallace, G. M., Fiore, C. L., Granetz, R. S., Hubbard, A. E., Irby, J. H., Marmar, E. S., Shiraiwa, S., Wolfe, S. M., Wukitch, S. J., Bitter, M., Hill, K., and Wilson, J. R.Observations of counter-current toroidal rotation in alcator c-mod lhcd plasmas. Nulc. Fusion, 49:025004, 2009.Google Scholar
[8]Yu, Z. and Qin, H.Gyrocenter-gauge kinetic algorithm for high frequency waves in magnetized plasmas. Phys. Plasmas, 16:032507, 2009.CrossRefGoogle Scholar
[9]Qin, H., Cohen, R. H., Nevins, W. M., and Xu, X. Q.Geometric gyrokinetic theory for edge plasmas. Phys. Plasmas, 14:056110, 2007.Google Scholar
[10]Qin, H. and Tang, W. M.Pullback transformations in gyrokinetic theory. Phys. Plasmas, 11:1052, 2004.Google Scholar
[11]Qin, H., Tang, W. M., and Lee, W. W.Gyrocenter-gauge kinetic theory. Phys. Plasmas, 7:4433, 2000.Google Scholar
[12]Qin, H.Topics in kinetic theory. Fields Institute Communications, 46:171–192, 2005.Google Scholar
[13]Kolesnikov, R. A., Lee, W.W., and Qin, H.Electromagnetic high frequency gyrokinetic particle-in-cell simulation. Commun. Comput. Phys., 4:171–192, 2008.Google Scholar
[14]Kolesnikov, R. A., Lee, W.W., Qin, H., and Startsev, E.High frequency gyrokinetic particle simulation. Phys. Plasmas, 14:072506, 2007.Google Scholar
[15]Stix, T. D.Waves in Plasmas. American Institute of Physics, 1992.Google Scholar
[16]Birdsall, A. B. and Langdon, C. K.Plasma Physics Via Computer Simulation. Elsevier Science, New York, 1991.Google Scholar
[17]Liu, G. R. and Liu, M. N.Smoothed Particle Hydrodynamics a Meshfree Particle Method. World Scientific, 2003.Google Scholar