Nonlinear simulation of multiple toroidal Alfvén eigenmodes in tokamak plasmas

doi:10.1088/1674-1056/ab610e

中国物理B ›› 2020, Vol. 29 ›› Issue (2): 25201-025201.doi: 10.1088/1674-1056/ab610e

• PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES • 上一篇下一篇

Nonlinear simulation of multiple toroidal Alfvén eigenmodes in tokamak plasmas

Xiao-Long Zhu(朱霄龙), Feng Wang(王丰), Zheng-Xiong Wang(王正汹)

Key Laboratory of Materials Modification by Laser, Ion and Electron Beams of the Ministry of Education, School of Physics, Dalian University of Technology, Dalian 116024, China

收稿日期:2019-11-18 修回日期:2019-12-09 出版日期:2020-02-05 发布日期:2020-02-05
通讯作者: Feng Wang, Zheng-Xiong Wang E-mail:fengwang@dlut.edu.cn;zxwang@dlut.edu.cn
基金资助:
Project supported by the National Key R&D Program of China (Grant No. 2017YFE0301900), the National Natural Science Foundation of China (Grant No. 11675083), and the Fundamental Research Funds for the Central Universities of China (Grant No. DUT18ZD101).

Nonlinear simulation of multiple toroidal Alfvén eigenmodes in tokamak plasmas

Xiao-Long Zhu(朱霄龙), Feng Wang(王丰), Zheng-Xiong Wang(王正汹)

Key Laboratory of Materials Modification by Laser, Ion and Electron Beams of the Ministry of Education, School of Physics, Dalian University of Technology, Dalian 116024, China

Received:2019-11-18 Revised:2019-12-09 Online:2020-02-05 Published:2020-02-05
Contact: Feng Wang, Zheng-Xiong Wang E-mail:fengwang@dlut.edu.cn;zxwang@dlut.edu.cn
Supported by:
Project supported by the National Key R&D Program of China (Grant No. 2017YFE0301900), the National Natural Science Foundation of China (Grant No. 11675083), and the Fundamental Research Funds for the Central Universities of China (Grant No. DUT18ZD101).

摘要/Abstract

摘要： Nonlinear evolution of multiple toroidal Alfvén eigenmodes (TAEs) driven by fast ions is self-consistently investigated by kinetic simulations in toroidal plasmas. To clearly identify the effect of nonlinear coupling on the beam ion loss, simulations over single-n modes are also carried out and compared with those over multiple-n modes, and the wave-particle resonance and particle trajectory of lost ions in phase space are analyzed in detail. It is found that in the multiple-n case, the resonance overlap occurs so that the fast ion loss level is rather higher than the sum loss level that represents the summation of loss over all single-n modes in the single-n case. Moreover, increasing fast ion beta β_h can not only significantly increase the loss level in the multiple-n case but also significantly increase the loss level increment between the single-n and multiple-n cases. For example, the loss level in the multiple-n case for β_h=6.0% can even reach 13% of the beam ions and is 44% higher than the sum loss level calculated from all individual single-n modes in the single-n case. On the other hand, when the closely spaced resonance overlap occurs in the multiple-n case, the release of mode energy is increased so that the widely spaced resonances can also take place. In addition, phase space characterization is obtained in both single-n and multiple-n cases.

关键词: tokamak, toroidal Alfvén eigenmode, wave-particle interaction, beam ion loss

Abstract: Nonlinear evolution of multiple toroidal Alfvén eigenmodes (TAEs) driven by fast ions is self-consistently investigated by kinetic simulations in toroidal plasmas. To clearly identify the effect of nonlinear coupling on the beam ion loss, simulations over single-n modes are also carried out and compared with those over multiple-n modes, and the wave-particle resonance and particle trajectory of lost ions in phase space are analyzed in detail. It is found that in the multiple-n case, the resonance overlap occurs so that the fast ion loss level is rather higher than the sum loss level that represents the summation of loss over all single-n modes in the single-n case. Moreover, increasing fast ion beta β_h can not only significantly increase the loss level in the multiple-n case but also significantly increase the loss level increment between the single-n and multiple-n cases. For example, the loss level in the multiple-n case for β_h=6.0% can even reach 13% of the beam ions and is 44% higher than the sum loss level calculated from all individual single-n modes in the single-n case. On the other hand, when the closely spaced resonance overlap occurs in the multiple-n case, the release of mode energy is increased so that the widely spaced resonances can also take place. In addition, phase space characterization is obtained in both single-n and multiple-n cases.

Key words: tokamak, toroidal Alfvén eigenmode, wave-particle interaction, beam ion loss

中图分类号: (Tokamaks, spherical tokamaks)

52.55.Fa

52.35.Bj (Magnetohydrodynamic waves (e.g., Alfven waves)) 94.20.wj (Wave/particle interactions) 52.55.Dy (General theory and basic studies of plasma lifetime, particle and heat loss, energy balance, field structure, etc.)

朱霄龙, 王丰, 王正汹. Nonlinear simulation of multiple toroidal Alfvén eigenmodes in tokamak plasmas[J]. 中国物理B, 2020, 29(2): 25201-025201.

Xiao-Long Zhu(朱霄龙), Feng Wang(王丰), Zheng-Xiong Wang(王正汹). Nonlinear simulation of multiple toroidal Alfvén eigenmodes in tokamak plasmas[J]. Chin. Phys. B, 2020, 29(2): 25201-025201.

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Nonlinear simulation of multiple toroidal Alfvén eigenmodes in tokamak plasmas

Nonlinear simulation of multiple toroidal Alfvén eigenmodes in tokamak plasmas

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