Rayleigh-Taylor instability at spherical interfaces of incompressible fluids

doi:10.1088/1674-1056/27/2/025206

中国物理B ›› 2018, Vol. 27 ›› Issue (2): 25206-025206.doi: 10.1088/1674-1056/27/2/025206

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

Rayleigh-Taylor instability at spherical interfaces of incompressible fluids

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

1. 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;
4. State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Beijing 100083, China

收稿日期:2017-09-26 修回日期:2017-11-15 出版日期:2018-02-05 发布日期:2018-02-05
通讯作者: Wen-Hua Ye, Ying-Jun Li E-mail:ye_wenhua@iapcm.ac.cn;lyj@aphy.iphy.ac.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11275031, 11475034, 11575033, 11574390, and 11274026) and the National Basic Research Program of China (Grant Nos. 2013CB834100 and 2013CBA01504).

Rayleigh-Taylor instability at spherical interfaces of incompressible fluids

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, Ying-Jun Li(李英骏)⁴, Wei-Yan Zhang(张维岩)^2,3

1. 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;
4. State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Beijing 100083, China

Received:2017-09-26 Revised:2017-11-15 Online:2018-02-05 Published:2018-02-05
Contact: Wen-Hua Ye, Ying-Jun Li E-mail:ye_wenhua@iapcm.ac.cn;lyj@aphy.iphy.ac.cn
About author:52.57.Fg; 47.20.Ma; 52.35.Py
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11275031, 11475034, 11575033, 11574390, and 11274026) and the National Basic Research Program of China (Grant Nos. 2013CB834100 and 2013CBA01504).

摘要/Abstract

摘要： Rayleigh-Taylor instability (RTI) of three incompressible fluids with two interfaces in spherical geometry is derived analytically. The growth rate on the two interfaces and the perturbation feedthrough coefficients between two spherical interfaces are derived. For low-mode perturbation, the feedthrough effect from outer interface to inner interface is much more severe than the corresponding planar case, while the feedback from inner interface to the outer interface is smaller than that in planar geometry. The low-mode perturbations lead to the pronounced RTI growth on the inner interface of a spherical shell that are larger than the cylindrical and planar results. It is the low-mode perturbation that results in the difference between the RTI growth in spherical and cylindrical geometry. When the mode number of the perturbation is large enough, the results in cylindrical geometry are recovered.

关键词: Rayleigh-Taylor instability, spherical geometry, inertial confinement fusion

Abstract: Rayleigh-Taylor instability (RTI) of three incompressible fluids with two interfaces in spherical geometry is derived analytically. The growth rate on the two interfaces and the perturbation feedthrough coefficients between two spherical interfaces are derived. For low-mode perturbation, the feedthrough effect from outer interface to inner interface is much more severe than the corresponding planar case, while the feedback from inner interface to the outer interface is smaller than that in planar geometry. The low-mode perturbations lead to the pronounced RTI growth on the inner interface of a spherical shell that are larger than the cylindrical and planar results. It is the low-mode perturbation that results in the difference between the RTI growth in spherical and cylindrical geometry. When the mode number of the perturbation is large enough, the results in cylindrical geometry are recovered.

Key words: Rayleigh-Taylor instability, spherical geometry, inertial confinement fusion

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, 李英骏, 张维岩. Rayleigh-Taylor instability at spherical interfaces of incompressible fluids[J]. 中国物理B, 2018, 27(2): 25206-025206.

Hong-Yu Guo(郭宏宇), Li-Feng Wang(王立锋), Wen-Hua Ye(叶文华), Jun-Feng Wu(吴俊峰), Ying-Jun Li(李英骏), Wei-Yan Zhang(张维岩). Rayleigh-Taylor instability at spherical interfaces of incompressible fluids[J]. Chin. Phys. B, 2018, 27(2): 25206-025206.

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Rayleigh-Taylor instability at spherical interfaces of incompressible fluids

Rayleigh-Taylor instability at spherical interfaces of incompressible fluids

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