Gyrokinetic simulations of nonlinear interactions between magnetic islands and microturbulence

Kaisheng FANG (方凯生); Jian BAO (包健); Zhihong LIN (林志宏)

doi:10.1088/2058-6272/ab3c83

Plasma Science and Technology > 2019 > 21(11): 115102. > DOI: 10.1088/2058-6272/ab3c83

Kaisheng FANG (方凯生), Jian BAO (包健), Zhihong LIN (林志宏). Gyrokinetic simulations of nonlinear interactions between magnetic islands and microturbulence[J]. Plasma Science and Technology, 2019, 21(11): 115102. DOI: 10.1088/2058-6272/ab3c83

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Gyrokinetic simulations of nonlinear interactions between magnetic islands and microturbulence

¹ Fusion Simulation Center, Peking University, Beijing 100871, People's Republic of China
² Beijing National Laboratory for Condensed Matter Physics and CAS Key Laboratory of Soft Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, People's Republic of China
³ University of Chinese Academy of Sciences, Beijing 100049, People's Republic of China
⁴ Department of Physics and Astronomy, University of California, Irvine, CA 92697, United States of America

Funds: This work was supported by the China National Magnetic Confinement Fusion Science Program (Grant No. 2018YFE0304100), the US Department of Energy, Office of Science, Office of Advanced Scientific Computing Research and Office of Fusion Energy Sciences, Scientific Discovery through Advanced Computing (SciDAC) program under Award Number DE-SC0018270 (SciDAC ISEP Center), and the China Scholarship Council (Grant No. 201306010032). This work used resources of the Oak Ridge Leadership Computing Facility at the Oak Ridge National Laboratory (DOE Contract No. DE-AC05-00OR22725) and the National Energy Research Scientific Computing Center (DOE Contract No. DE-AC02-05CH11231).

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Received Date: June 03, 2019
Revised Date: August 15, 2019
Accepted Date: August 18, 2019

Graphical Abstract

Abstract

Abstract

A conservative scheme of kinetic electrons for gyrokinetic simulations in the presence of magnetic islands has been implemented and verified in the gyrokinetic toroidal code, where zonal and nonzonal components of all perturbed quantities are solved together. Using this new conservative scheme, linear simulation of kinetic ballooning mode has been successfully benchmarked with the electromagnetic hybrid model. Simulations of nonlinear interactions between magnetic islands and the ion temperature gradient (ITG) mode in a tokamak show that the islands rotate at the electron diamagnetic drift velocity. The linear ITG structure shifts from the island O-point toward the X-point due to the pressure flattening effect inside the islands, and the nonlinear ITG structure peaks along the magnetic island separatrix because of the increased pressure gradient there.
- gyrokinetic simulations,
- magnetic islands,
- microturbulence

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References (34)

References

[1]	La Haye R J 2006 Phys. Plasmas 13 055501
[2]	Hender T C et al 2007 Nucl. Fusion 47 S128
[3]	Nazikian R et al 2015 Phys. Rev. Lett. 114 105002
[4]	Choi M et al 2017 Nucl. Fusion 57 126058
[5]	Bardóczi L et al 2016 Phys. Plasmas 23 052507
[6]	Ida K et al 2004 Phys. Plasmas 11 2551
[7]	Fang K S and Lin Z 2019 Phys. Plasmas 26 052510
[8]	Bardóczi L et al 2017 Phys. Plasmas 24 062503
[9]	Poyé A et al 2015 Phys. Plasmas 22 030704
[10]	Sen A et al 2009 Nucl. Fusion 49 115012
[11]	Bao J, Liu D and Lin Z 2017 Phys. Plasmas 24 102516
[12]	Bao J, Lin Z and Lu Z X 2018 Phys. Plasmas 25 022515
[13]	Lin Z et al 1998 Science 281 1835
[14]	Holod I et al 2009 Phys. Plasmas 16 122307
[15]	Deng W, Lin Z and Holod I 2012 Nucl. Fusion 52 023005
[16]	Tang W M, Connor J W and Hastie R J 1980 Nucl. Fusion 20 1439
[17]	Tang W M 1978 Nucl. Fusion 18 1089
[18]	Horton W 1999 Rev. Mod. Phys. 71 735
[19]	Nishimura S et al 2008 Phys. Plasmas 15 092506
[20]	Zarzoso D et al 2015 Phys. Plasmas 22 022127
[21]	Wilson H R and Connor J W 2009 Plasma Phys. Control.Fusion 51 115007
[22]	Wang Z X et al 2009 Phys. Plasmas 16 060703
[23]	Hu Z Q et al 2014 Nucl. Fusion 54 123018
[24]	Wang W et al 2018 Plasma Sci. Technol. 20 075101
[25]	Jiang P et al 2014 Phys. Plasmas 21 122513
[26]	Lee W W 1987 J. Comput. Phys. 72 243
[27]	Brizard A J and Hahm T S 2007 Rev. Mod. Phys. 79 421
[28]	Parker S E and Lee W W 1993 Phys. Fluids B 5 77
[29]	Hu G Z and Krommes J A 1994 Phys. Plasmas 1 863
[30]	Brizard A J 1990 Nonlinear gyrokinetic tokamak physics PhD Thesis Princeton University
[31]	Ida K et al (LHD Experimental Group) 2001 Phys. Rev. Lett.88 015002
[32]	Hahm T S and Diamond P H 2018 J. Korean Phys. Soc. 73 747
[33]	Ida K et al 2018 Phys. Rev. Lett. 120 245001
[34]	Cheng C Z and Chen L 1981 Nucl. Fusion 21 403

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