Numerical simulation of fast ion transport driven by fishbone
in toroidal configuration

doi:10.16568/j.0254-6086.202204013

Nuclear Fusion and Plasma Physics ›› 2022, Vol. 42 ›› Issue (4): 440-447.DOI: 10.16568/j.0254-6086.202204013

• Plasma Physics • Previous Articles Next Articles

Numerical simulation of fast ion transport driven by fishbone in toroidal configuration

WANG Yong-qin1 , HAO Guang-zhou1 , YU Li-min2 , MIAO Yu-tian3 , KE Rui1 , ZOU Yun-peng1 , GAO Qing-di1

(1. Southwestern Institute of Physics, Chengdu 610041; 2. East China University of Science and Technology, Shanghai 200000; 3. Dalian University of Technology, Dalian 116024)

Received:2020-12-07 Revised:2022-07-28 Online:2022-12-15 Published:2022-12-13

环位形下鱼骨模驱动快离子输运的数值模拟研究

王雍钦 1 ，郝广周*1，虞立敏 2 ，苗雨田 3 ，柯锐 1 ，邹云鹏 1 ，高庆弟 1

(1. 核工业西南物理研究院，成都 610041；2. 华东理工大学，上海 200000；3. 大连理工大学，大连 116024)

作者简介:王雍钦(1996-)，男，辽宁抚顺人，硕士研究生，从事快离子输运的理论模拟研究。
基金资助:
国家自然科学基金(11775067)

Abstract

Abstract: In this work, the influences of the fishbone amplitude and frequency on the fast ion redistribution are investigated. The simulation indicates that the fishbone instability causes serious redistribution of fast ions in both real space and phase space. The fast ion density decreases by ~20% in the core (ψ_p /ψ_w≤ 0.2 ) and increases ~7% at the middle region of magnetic flux ( (ψ_p /ψ_w≤ 0.6，ψ_p /ψ_w≥0.2), where p is the poloidal magnetic flux, and ψ_w is the magnetic flux at the last closed flux surface. Furthermore, by parameter scanning, it is found that the redistribution of fast ions is sensitive to the fishbone frequency in the phase space. In addition, the resonance conditions of fast ions and fishbone instability are analyzed.

Key words: Fishbone, Redistribution, Phase space, Resonance

摘要：

考虑包含动理学效应的鱼骨模结构，使用导心轨道程序 ORBIT，在磁面坐标下研究了不同的扰动模幅度、频率对快离子再分布的影响，并分析了粒子与扰动发生共振的条件。模拟得出，鱼骨模扰动会使快离子在实空间、相空间中发生再分布，芯部( ψ_p/ψ_w≤0.2 ，ψ_p 为极向磁通，ψ_w 为最后一个闭合磁面的磁通)快离子密度下降约 20%，中间磁面位置上( ψ_p/ψ_w≥0.2，ψ_p/ψ_w≤ 0.6)的快离子密度增加约 7%；通过扫描频率发现，相空间中快离子的再分布对模式频率敏感，并分析了快离子与鱼骨模扰动共振的条件。

关键词: 鱼骨模, 再分布, 相空间, 共振

CLC Number:

O534+ .1

WANG Yong-qin , HAO Guang-zhou , YU Li-min , MIAO Yu-tian , KE Rui , ZOU Yun-peng , GAO Qing-di. Numerical simulation of fast ion transport driven by fishbone in toroidal configuration [J]. Nuclear Fusion and Plasma Physics, 2022, 42(4): 440-447.

王雍钦, 郝广周, 虞立敏, 苗雨田, 柯锐, 邹云鹏, 高庆弟 . 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): 440-447.

References

[1] 王骥. EAST 中性束注入加热与电流驱动模拟研究 [D]. 合肥: 中国科学技术大学, 2012.

[2] McGuire K. Study of high-beta magnetohydrodynamic modes and fast-ion losses in PDX [J]. Phys. Rev. Lett., 1983, 50(12): 891−895.

[3] Chen W. Features of ion and electron fishbone instabilities on HL-2A [J]. Nucl. Fusion, 2010, 50(8): 084008.

[4] Heidbrink W W, Sager G. The fishbone instability in the DIII-D tokamak [J]. Nucl. Fusion, 1990, 30(6): 1015.

[5] Borba D. Beam driven Alfvén eigenmodes and fishbones in JET [J]. Nucl. Fusion, 40(4): 775.

[6] 石秉仁, 隋国芳. 电阻性鱼骨模理论 [J]. 核聚变与等离子体物理, 1994, 14(3): 1−10.

[7] Chen L, White R B, Rosenbluth M N. Excitation of internal kink modes by trapped energetic beam ions [J]. Phys. Rev. Lett., 1984, 52(13): 1122−1125.

[8] Coppi B, Porcelli F. Theoretical model of fishbone oscillations in magnetically confined plasmas [J]. Phys. Rev. Lett., 1986, 56(18): 2272.

[9] Brochard G. Nonlinear dynamics of the fishbone-induced alpha transport on ITER [J]. Nucl. Fusion, 2020, 60(12): 126019.

[10] C Perez von Thun. Study of fast-ion transport induced by fishbones on JET [J]. Nucl. Fusion, 2012, 52(9): 094010.

[11] C Perez von Thun. MeV-range fast ion losses induced by fishbones on JET [J]. Nucl. Fusion, 2010, 50(8): 084009.

[12] Liu D. Cause and impact of low-frequency chirping modes in DIII-D hybrid discharges [J]. Nucl. Fusion, 2020, 60(11): 112009.

[13] White R B, Chance M S. Hamiltonian guiding center drift orbit calculation for plasma of arbitrary cross section [J]. Phys. Fluids, 1984, 27(10): 2455−2467.

[14] White R B. The theory of toroidally confined plasma [M]. Imperial College Press, 2005.

[15] Yu L M . Simulation of fast ion loss induced by magnetic islands in the EAST tokamak [C]. 46th EPS Conference on Plasma Physics, 2019.

[16] C Perez von Thun. Numerical simulation of fast ion loss detector measurements for fishbone on JET [J]. Nucl. Fusion, 2011, 51(5): 053003.

[17] Shiozaki Y, Todo Y. Computer simulation of fishbone oscillation [J]. J. Plasma Fusion Res. SERIES, 2004, 6: 618−621.

[18] Miao Y T, Hao G Z, He H D, et al. Fishbone instability driven by trapped fast ions in a toroidal plasma with reversed magnetic shear [J]. Nucl. Fusion, 2020, 60(9).

[19] Zhang Y P. Measurements of fast-ion losses induced by MHD instabilities using a scintillator-based probe in the HL-2A tokamak [J]. Nucl. Fusion, 2015, 55(11): 113024.

[20] White R B. Particle distribution modification by low amplitude modes [J]. Plasma Phys. Contr. Fusion, 2010, 52(4): 045012.

[21] White R B. Modification of particle distributions by MHD instabilities I [J]. Commun Nonlinear Sci Numer Simulat, 2012, 17(5): 2200−2214.

[22] Podestà M. A reduced fast ion transport model for the tokamak transport code TRANSP [J]. Plasma Phys. Contr. Fusion, 2014, 56(5): 055003.

Numerical simulation of fast ion transport driven by fishbone in toroidal configuration

环位形下鱼骨模驱动快离子输运的数值模拟研究

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