Scaling of rise time of drive current on development of magneto-Rayleigh-Taylor instabilities for single-shell Z-pinches

doi:10.1088/1674-1056/ac1fd9

中国物理B ›› 2022, Vol. 31 ›› Issue (2): 25203-025203.doi: 10.1088/1674-1056/ac1fd9

Scaling of rise time of drive current on development of magneto-Rayleigh-Taylor instabilities for single-shell Z-pinches

Xiaoguang Wang(王小光), Guanqiong Wang(王冠琼), Shunkai Sun(孙顺凯), Delong Xiao(肖德龙)^†, Ning Ding(丁宁), Chongyang Mao(毛重阳), and Xiaojian Shu(束小建)

Institute of Applied Physics and Computational Mathematics, Beijing 100094, China

收稿日期:2021-04-19 修回日期:2021-07-22 接受日期:2021-08-22 出版日期:2022-01-13 发布日期:2022-01-13
通讯作者: Delong Xiao E-mail:xiao_delong@iapcm.ac.cn
基金资助:
This work was supported by the National Natural Science Foundation of China (Grant Nos. 11975057, 11605013,11775023, and 11705013).

Scaling of rise time of drive current on development of magneto-Rayleigh-Taylor instabilities for single-shell Z-pinches

Xiaoguang Wang(王小光), Guanqiong Wang(王冠琼), Shunkai Sun(孙顺凯), Delong Xiao(肖德龙)^†, Ning Ding(丁宁), Chongyang Mao(毛重阳), and Xiaojian Shu(束小建)

Institute of Applied Physics and Computational Mathematics, Beijing 100094, China

Received:2021-04-19 Revised:2021-07-22 Accepted:2021-08-22 Online:2022-01-13 Published:2022-01-13
Contact: Delong Xiao E-mail:xiao_delong@iapcm.ac.cn
Supported by:
This work was supported by the National Natural Science Foundation of China (Grant Nos. 11975057, 11605013,11775023, and 11705013).

摘要/Abstract

摘要： In fast Z-pinches, rise time of drive current plays an important role in development of magneto-Rayleigh-Taylor (MRT) instabilities. It is essential for applications of Z-pinch dynamic hohlraum (ZPDH), which could be used for driving inertial confinement fusion (ICF), to understand the scaling of rise time on MRTs. Therefore, a theoretical model for nonlinear development of MRTs is developed according to the numerical analysis. It is found from the model that the implosion distance L=r₀-r_mc determines the development of MRTs, where r₀ is the initial radius and r_mc is the position of the accelerating shell. The current rise time τ would affect the MRT development because of its strong coupling with the r₀. The amplitude of MRTs would increase with the rise time linearly if an implosion velocity is specified. The effects of the rise time on MRT, in addition, are studied by numerical simulation. The results are consistent with those of the theoretical model very well. Finally, the scaling of the rise time on amplitude of MRTs is obtained for a specified implosion velocity by the theoretical model and numerical simulations.

关键词: magneto-Rayleigh-Taylor instability, rise time, Z-pinch, magnetohydrodynamic

Abstract: In fast Z-pinches, rise time of drive current plays an important role in development of magneto-Rayleigh-Taylor (MRT) instabilities. It is essential for applications of Z-pinch dynamic hohlraum (ZPDH), which could be used for driving inertial confinement fusion (ICF), to understand the scaling of rise time on MRTs. Therefore, a theoretical model for nonlinear development of MRTs is developed according to the numerical analysis. It is found from the model that the implosion distance L=r₀-r_mc determines the development of MRTs, where r₀ is the initial radius and r_mc is the position of the accelerating shell. The current rise time τ would affect the MRT development because of its strong coupling with the r₀. The amplitude of MRTs would increase with the rise time linearly if an implosion velocity is specified. The effects of the rise time on MRT, in addition, are studied by numerical simulation. The results are consistent with those of the theoretical model very well. Finally, the scaling of the rise time on amplitude of MRTs is obtained for a specified implosion velocity by the theoretical model and numerical simulations.

Key words: magneto-Rayleigh-Taylor instability, rise time, Z-pinch, magnetohydrodynamic

中图分类号: (Implosion symmetry and hydrodynamic instability (Rayleigh-Taylor, Richtmyer-Meshkov, imprint, etc.))

52.57.Fg

52.59.Qy (Wire array Z-pinches) 52.30.Cv (Magnetohydrodynamics (including electron magnetohydrodynamics))

Xiaoguang Wang(王小光), Guanqiong Wang(王冠琼), Shunkai Sun(孙顺凯), Delong Xiao(肖德龙), Ning Ding(丁宁), Chongyang Mao(毛重阳), and Xiaojian Shu(束小建). Scaling of rise time of drive current on development of magneto-Rayleigh-Taylor instabilities for single-shell Z-pinches[J]. 中国物理B, 2022, 31(2): 25203-025203.

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Scaling of rise time of drive current on development of magneto-Rayleigh-Taylor instabilities for single-shell Z-pinches

Scaling of rise time of drive current on development of magneto-Rayleigh-Taylor instabilities for single-shell Z-pinches

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