反剪切剖面下的非共振鱼骨模不稳定性混合模拟

doi:10.16568/j.0254-6086.202401014

核工业西南物理研究院 ›› 2024, Vol. 44 ›› Issue (1): 85-91.DOI: 10.16568/j.0254-6086.202401014

反剪切剖面下的非共振鱼骨模不稳定性混合模拟

徐敬坤1，任珍珍2，汪卫华*3

(1. 安徽大学计算机科学与技术学院，合肥 230601；2. 安徽大学物理与光电学院，合肥 230601；3. 安徽大学物质科学与技术研究院,，合肥 230601)

收稿日期:2021-04-19 修回日期:2023-05-09 出版日期:2024-03-15 发布日期:2024-03-14
通讯作者: 汪卫华(1965-)，男，安徽望江人，教授，主要从事聚变堆堆内部件关键技术研发与实验研究。
作者简介:徐敬坤(1998-)，男，安徽人，硕士，主要从事计算机模拟和磁流体不稳定性研究。
基金资助:
国家自然科学基金(11975022)；国家重点研发计划(2018YFE0309100，2017YFE0300603，2018YFE0310400)

Hybrid simulation of non-resonant fishbone instabilities with reversed shear profile

XU Jing-kun1, REN Zheng-zheng2, WANG Wei-hua3

(1. School of Computer Science and Engineering, Anhui University, Hefei 230601; 2. School of Physics and Optoelectronic Engineering, Anhui University, Hefei 230601; 3. School of Physics and Materials Science, Anhui University, Hefei 230601)

Received:2021-04-19 Revised:2023-05-09 Online:2024-03-15 Published:2024-03-14

摘要/Abstract

摘要： 利用磁流体动理学混合模拟程序M3D-K对具有反剪切剖面下的非共振鱼骨模不稳定性进行了线性模拟。在类EAST参数下，当安全因子最小值略大于1时，捕获高能量粒子可以激发非共振鱼骨模不稳定性。详细分析了高能量粒子比压的份额β_hot/β_total、中心螺旋角、注入能量、安全因子最小值q_min及其径向位置等参数对鱼骨模的影响。当螺旋角约为0.7时，模结构表现出双模扭曲特征。当q_min大于1.08时，不稳定性从鱼骨模向β诱导的比压阿尔芬本征模转移。从螺旋角为0.7的傅里叶分析和螺旋角为0.8的绝热系数扫描结果可以看出，非共振鱼骨模和β诱导的比压阿尔芬本征模可以同时存在，模频率与安全因子剖面向右移动的关系与理论分析一致。

关键词: 鱼骨模不稳定性, 反剪切剖面, 捕获高能量粒子, 比压阿尔芬本征模

Abstract:

The linear simulation of non-resonant fishbone (NRF) instabilities with reversed shear profile has been investigated by M3D-K. Based on EAST-like parameters, the NRF instability can be driven by the trapped energetic ions as minimum safety factor is a little larger than unity. The effect of important parameters on the fishbone such as the fraction of energetic particle beta β_hot/β_total, central pitch angle Λ₀, injection energy E, the minimum safety factor q_min, and radial position of q_min have been analyzed in detail, while beta-induced Alfvén Eigenmode (BAE) is found in some simulation cases. In addition, the instability transfers from the fishbone to BAE when q_min is larger than 1.08. Judging from the results obtained by the Fourier analysis with Λ₀=0.7 and the specific heat coefficients scanned with Λ₀=0.8, it is revealed that NRF and BAE can coexist when the central pitch angle is 0.7~0.9. Finally, the relation between mode frequency and the radial position of q_min is consistent with theoretical analysis.

Key words:

Non-resonant fishbone instability, Reversed shear profile, Trapped energetic particles, Beta-induced Alfvén Eigenmode

中图分类号:

O534.2

徐敬坤, 任珍珍, 汪卫华. 反剪切剖面下的非共振鱼骨模不稳定性混合模拟[J]. 核工业西南物理研究院, 2024, 44(1): 85-91.

XU Jing-kun, REN Zheng-zheng, WANG Wei-hua. Hybrid simulation of non-resonant fishbone instabilities with reversed shear profile[J]. Nuclear Fusion and Plasma Physics, 2024, 44(1): 85-91.

参考文献

[1] Fasoli A, Gormenzano C, Berk H L, et al. Physics of energetic ions [J]. Nuclear Fusion, 2007, 47(6): S264.
[2] Cheng C Z, Chen L, Chance M S. High-n ideal and resistive shear Alfvén waves in tokamaks [J]. Annals of Physics, 1985, 161(1): 21.
[3] Wong K L, Fonck R J, Paul S F, et al. Excitation of toroidal Alfvén eigenmodes in TFTR [J]. Physical Review Letters, 1991, 66(14): 1874.
[4] Betti R, Freidberg J P. Ellipticity induced Alfvén eigenmodes [J]. Physics of Fluids B: Plasma Physics, 1991, 3(8): 1865.
[5] Betti R, Freidberg J P. Stability of Alfvén gap modes in burning plasmas [J]. Physics of Fluids B: Plasma Physics, 1992, 4(6): 1465.
[6] Kimura H, Kusama Y, Saigusa M, et al. Alfvén eigenmode and energetic particle research in JT-60U [J]. Nuclear Fusion, 1998, 38(9): 1303.
[7] Toi K, Watanabe F, Tokuzawa T, et al. Observation of reversed-shear Alfvén eigenmodes excited by energetic ions in a helical plasma [J]. Physical Review Letters, 2010, 105(14): 145003.
[8] Heidbrink W W, Strait E J, Chu M S, et al. Observation of beta-induced Alfvén eigenmodes in the DIII-D tokamak [J]. Physical Review Letters, 1993, 71(6): 855.
[9] Chen W, Ding X T, Yang Q W, et al. β-Induced Alfvén eigenmodes destabilized by energetic electrons in a tokamak plasma [J]. Physical Review Letters, 2010, 105(18): 185004.
[10] Wang X, Briguglio S, Chen L, et al. An extended hybrid magnetohydrodynamics gyrokinetic model for numerical simulation of shear Alfvén waves in burning plasmas [J]. Physics of Plasmas, 2011, 18(5): 052504.
[11] Chen L, White R B, Rosenbluth M N. Excitation of internal kink modes by trapped energetic beam ions [J]. Physical Review Letters, 1984, 52(13): 1122.
[12] Coppi B, Porcelli F. Theoretical model of fishbone oscillations in magnetically confined plasmas [J]. Physical Review Letters, 1986, 57(18): 2272.
[13] Shen W, Wang F, Fu G Y, et al. Hybrid simulation of fishbone instabilities with reversed safety factor profile [J]. Nuclear Fusion, 2020, 60(10): 106016.
[14] Fu G Y, Park W, Strauss H R, et al. Global hybrid simulations of energetic particle effects on the n=1 mode in tokamaks: Internal kink and fishbone instability [J]. Physics of Plasmas, 2006, 13(5): 052517.
[15] Vlad G, Briguglio S, Fogaccia G, et al. Electron fishbone simulations in tokamak equilibria using XHMGC [J]. Nuclear Fusion, 2013, 53(8): 083008.
[16] 赵康, 何志雄, 蒋海斌, 等. 聚变等离子体中高能量粒子驱动的鱼骨模不稳定性研究 [J]. 核聚变与等离子体物理, 2015, 35(4): 296.
[17] 蒋海斌, 赵康, 何志雄, 等. HL-2A装置中高能量捕获电子鱼骨模不稳定性研究 [J]. 核聚变与等离子体物理, 2015, 35(1): 8.
[18] 王雍钦, 郝广周, 虞立敏, 等. 环位形下鱼骨模驱动快离子输运的数值模拟研究 [J]. 核聚变与等离子体物理, 2022, 42(4): 440.
[19] Wang X Q, Zhang R B, Qin L, et al. Non-resonant fishbone instabilities of qmin≳1 in tokamak plasmas with weakly reversed magnetic shear [J]. Plasma Physics and Controlled Fusion, 2014, 56(9): 095013.
[20] Shen W, Wang F, Fu G Y, et al. Hybrid simulation of fishbone instabilities in the EAST tokamak [J]. Nuclear Fusion, 2017, 57(11): 116035.
[21] Chu M S, Greene J M, Lao L L, et al. A numerical study of the high-n shear Alfvén spectrum gap and the high-n gap mode [J]. Physics of Fluids B: Plasma Physics, 1992, 4(11): 3713.

反剪切剖面下的非共振鱼骨模不稳定性混合模拟

Hybrid simulation of non-resonant fishbone instabilities with reversed shear profile

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 2

编辑推荐

Metrics

[1]	陈龙溪1, 2，王进芳2, 3，孙哲1, 2，边珍珠1, 2. 剪切磁场位形下电阻壁模不稳定性的数值模拟[J]. 核聚变与等离子体物理, 2018, 2(1): 21-28.
[2]	陈龙溪，吴斌. 模与模之间的相互作用对电阻壁模稳定性的影响[J]. 核聚变与等离子体物理, 2013, 33(2): 102-106.