托卡马克安全因子对锯齿模影响的数值模拟研究

doi:10.16568/j.0254-6086.202504015

核聚变与等离子体物理 ›› 2025, Vol. 45 ›› Issue (4): 475-482.DOI: 10.16568/j.0254-6086.202504015

托卡马克安全因子对锯齿模影响的数值模拟研究

肖政 1，杨锦宏*1，任珍珍 2，楚家璇 1，张培杰 1，邝俊 1，汪卫华 1

(1. 安徽大学物质科学与信息技术研究院，合肥 230601；2. 安徽大学物理与光电工程学院，合肥 230601)

收稿日期:2023-10-30 修回日期:2024-06-03 出版日期:2025-12-15 发布日期:2025-12-15
作者简介:肖政(2000-)，男，江西赣州人，硕士研究生，从事等离子体数值模拟研究。
基金资助:
国家磁约束核聚变能发展计划(2022YFE03040002)；国家重点项目(2019YFE03050002)；国家自然科学基金(12005003)；安徽省教育厅自然科学重点项目(KJ2021A1429)

Numerical simulation study on the impact of tokamak safety factor on sawtooth mode

XIAO Zheng1, YANG Jin-hong1, REN Zhen-zhen2, CHU Jia-xuan1,ZHANG Pei-jie1, KUANG Jun1, WANG Wei-hua1

(1. Institutes of Physical Science and Information Technology, Anhui University, Hefei 230601;2. School of Physics and Optoelectronic Engineering, Anhui University, Hefei 230601)

Received:2023-10-30 Revised:2024-06-03 Online:2025-12-15 Published:2025-12-15

摘要/Abstract

摘要： 利用动理学-磁流体混合模型程序 M3D-K，数值模拟研究了安全因子以及电阻率对锯齿不稳定性的影响。模拟结果表明：(1) 线性增长率随 q=1 面位置的增大而减小，随 q=1 面磁剪切的增大而增大，随电阻率的增大而增大；(2) 锯齿周期随 q=1 面位置的增大而增大，随 q=1 面磁剪切的增大而减小，随电阻率的增大而减小；(3) 锯齿振幅随 q=1 面位置增大而增大，随 q=1 面磁剪切的增大先增大后减小，随电阻率的增大而增大。结果表明，若想控制锯齿振荡行为特征为高频且小幅度，可以采取减小安全因子 q=1 面位置或增大 q=1 面磁剪切的措施，以及综合考虑电阻率的影响。

关键词: 锯齿振荡, 安全因子, 托卡马克, 锯齿周期, 锯齿振幅

Abstract: This paper utilizes the kinetic-magnetohydrodynamic (MHD) hybrid model program M3D-K to numerically simulate and study the effects of safety factor and resistivity on sawtooth instability. The simulation results show that: (1) The linear growth rate decreases with an increase in the q=1 surface position, but it increases with q=1 surface magnetic shear and resistivity. (2) The sawtooth period increases with q=1 surface position, but it decreases with q=1 surface magnetic shear and resistivity. (3) The sawtooth amplitude increases with q=1 surface position and resistivity. It initially increases then decreases with the q=1 surface magnetic shear. These results indicate that to control the characteristics of sawtooth oscillation with high frequency and small amplitude,measures such as reducing the q=1 surface position or increasing its magnetic shear can be taken, while considering the combined influence of resistivity.

Key words: Sawtooth oscillation, Safety factor, Tokamak, Sawtooth period, Sawtooth amplitude

中图分类号:

O534+2

肖政, 杨锦宏, 任珍珍, 楚家璇, 张培杰, 邝俊, 汪卫华 . 托卡马克安全因子对锯齿模影响的数值模拟研究[J]. 核聚变与等离子体物理, 2025, 45(4): 475-482.

XIAO Zheng, YANG Jin-hong, REN Zhen-zhen, CHU Jia-xuan, ZHANG Pei-jie, KUANG Jun, WANG Wei-hua. Numerical simulation study on the impact of tokamak safety factor on sawtooth mode[J]. Nuclear Fusion and Plasma Physics, 2025, 45(4): 475-482.

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托卡马克安全因子对锯齿模影响的数值模拟研究

Numerical simulation study on the impact of tokamak safety factor on sawtooth mode

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