Coupling between velocity and interface perturbations in cylindrical Rayleigh-Taylor instability

doi:10.1088/1674-1056/27/5/055205

中国物理B ›› 2018, Vol. 27 ›› Issue (5): 55205-055205.doi: 10.1088/1674-1056/27/5/055205

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

Coupling between velocity and interface perturbations in cylindrical Rayleigh-Taylor instability

Hong-Yu Guo(郭宏宇), Li-Feng Wang(王立锋), Wen-Hua Ye(叶文华), Jun-Feng Wu(吴俊峰), Wei-Yan Zhang(张维岩)

Graduate School, China Academy of Engineering Physics, Beijing 100088, China;
2 Institute of Applied Physics and Computational Mathematics, Beijing 100094, China;
3 HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100871, China

收稿日期:2017-09-09 修回日期:2018-01-11 出版日期:2018-05-05 发布日期:2018-05-05
通讯作者: Wen-Hua Ye E-mail:ye_wenhua@iapcm.ac.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos.11275031,11475034,11575033,and 11274026) and the National Basic Research Program of China (Grant No.2013CB834100).

Coupling between velocity and interface perturbations in cylindrical Rayleigh-Taylor instability

Hong-Yu Guo(郭宏宇)^1,2, Li-Feng Wang(王立锋)^2,3, Wen-Hua Ye(叶文华)^2,3, Jun-Feng Wu(吴俊峰)², Wei-Yan Zhang(张维岩)^2,3

Graduate School, China Academy of Engineering Physics, Beijing 100088, China;
2 Institute of Applied Physics and Computational Mathematics, Beijing 100094, China;
3 HEDPS, Center for Applied Physics and Technology, Peking University, Beijing 100871, China

Received:2017-09-09 Revised:2018-01-11 Online:2018-05-05 Published:2018-05-05
Contact: Wen-Hua Ye E-mail:ye_wenhua@iapcm.ac.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos.11275031,11475034,11575033,and 11274026) and the National Basic Research Program of China (Grant No.2013CB834100).

摘要/Abstract

摘要： Rayleigh-Taylor instability (RTI) in cylindrical geometry initiated by velocity and interface perturbations is investigated analytically through a third-order weakly nonlinear (WN) model. When the initial velocity perturbation is comparable to the interface perturbation, the coupling between them plays a significant role. The difference between the RTI growth initiated only by a velocity perturbation and that only by an interface perturbation in the WN stage is negligibly small. The effects of the mode number on the first three harmonics are discussed respectively. The low-mode number perturbation leads to large amplitudes of RTI growth. The Atwood number and initial perturbation dependencies of the nonlinear saturation amplitude of the fundamental mode are analyzed clearly. When the mode number of the perturbation is large enough, the WN results in planar geometry are recovered.

关键词: Rayleigh-Taylor instability, weakly nonlinear, cylindrical geometry

Abstract: Rayleigh-Taylor instability (RTI) in cylindrical geometry initiated by velocity and interface perturbations is investigated analytically through a third-order weakly nonlinear (WN) model. When the initial velocity perturbation is comparable to the interface perturbation, the coupling between them plays a significant role. The difference between the RTI growth initiated only by a velocity perturbation and that only by an interface perturbation in the WN stage is negligibly small. The effects of the mode number on the first three harmonics are discussed respectively. The low-mode number perturbation leads to large amplitudes of RTI growth. The Atwood number and initial perturbation dependencies of the nonlinear saturation amplitude of the fundamental mode are analyzed clearly. When the mode number of the perturbation is large enough, the WN results in planar geometry are recovered.

Key words: Rayleigh-Taylor instability, weakly nonlinear, cylindrical geometry

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

52.57.Fg

47.20.Ma (Interfacial instabilities (e.g., Rayleigh-Taylor)) 52.35.Py (Macroinstabilities (hydromagnetic, e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, Rayleigh-Taylor, etc.))

郭宏宇, 王立锋, 叶文华, 吴俊峰, 张维岩. Coupling between velocity and interface perturbations in cylindrical Rayleigh-Taylor instability[J]. 中国物理B, 2018, 27(5): 55205-055205.

Hong-Yu Guo(郭宏宇), Li-Feng Wang(王立锋), Wen-Hua Ye(叶文华), Jun-Feng Wu(吴俊峰), Wei-Yan Zhang(张维岩). Coupling between velocity and interface perturbations in cylindrical Rayleigh-Taylor instability[J]. Chin. Phys. B, 2018, 27(5): 55205-055205.

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Coupling between velocity and interface perturbations in cylindrical Rayleigh-Taylor instability

Coupling between velocity and interface perturbations in cylindrical Rayleigh-Taylor instability

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