›› 2014, Vol. 23 ›› Issue (9): 94502-094502.doi: 10.1088/1674-1056/23/9/094502

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

Nonlinear saturation amplitude of cylindrical Rayleigh–Taylor instability

刘万海a b, 于长平c, 叶文华b d e, 王立峰b d   

  1. a Research Center of Computational Physics, Mianyang Normal University, Mianyang 621000, China;
    b Key Laboratory of High Energy Density Physics Simulation (HEDPS), and Center for Applied Physics and Technology, Peking University, Beijing 100871, China;
    c Key Laboratory of High Temperature Gas Dynamics (LHD), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;
    d Institute of Applied Physics and Computational Mathematics, Beijing 100194, China;
    e Department of Physics, Zhejiang University, Hangzhou 310027, China
  • 收稿日期:2013-12-30 修回日期:2014-02-27 出版日期:2014-09-15 发布日期:2014-09-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10835003 and 11274026) and the Scientific Research Foundation of Mianyang Normal University, China (Grant No. 07165411).

Nonlinear saturation amplitude of cylindrical Rayleigh–Taylor instability

Liu Wan-Hai (刘万海)a b, Yu Chang-Ping (于长平)c, Ye Wen-Hua (叶文华)b d e, Wang Li-Feng (王立峰)b d   

  1. a Research Center of Computational Physics, Mianyang Normal University, Mianyang 621000, China;
    b Key Laboratory of High Energy Density Physics Simulation (HEDPS), and Center for Applied Physics and Technology, Peking University, Beijing 100871, China;
    c Key Laboratory of High Temperature Gas Dynamics (LHD), Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;
    d Institute of Applied Physics and Computational Mathematics, Beijing 100194, China;
    e Department of Physics, Zhejiang University, Hangzhou 310027, China
  • Received:2013-12-30 Revised:2014-02-27 Online:2014-09-15 Published:2014-09-15
  • Contact: Yu Chang-Ping E-mail:champion-yu@163.com
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10835003 and 11274026) and the Scientific Research Foundation of Mianyang Normal University, China (Grant No. 07165411).

摘要: The nonlinear saturation amplitude (NSA) of the fundamental mode in the classical Rayleigh-Taylor instability with a cylindrical geometry for an arbitrary Atwood number is analytically investigated by considering the nonlinear corrections up to the third order. The analytic results indicate that the effects of the initial radius of the interface (r0) and the Atwood number (A) play an important role in the NSA of the fundamental mode. The NSA of the fundamental mode first increases gently and then decreases quickly with increasing A. For a given A, the smaller the r0/λ (λ is the perturbation wavelength), the larger the NSA of the fundamental mode. When r0/λ is large enough (r0 λ), the NSA of the fundamental mode is reduced to the prediction in the previous literatures within the framework of the third-order perturbation theory.

关键词: nonlinear saturation amplitude, Rayleigh-Taylor instability, cylindrical interface

Abstract: The nonlinear saturation amplitude (NSA) of the fundamental mode in the classical Rayleigh-Taylor instability with a cylindrical geometry for an arbitrary Atwood number is analytically investigated by considering the nonlinear corrections up to the third order. The analytic results indicate that the effects of the initial radius of the interface (r0) and the Atwood number (A) play an important role in the NSA of the fundamental mode. The NSA of the fundamental mode first increases gently and then decreases quickly with increasing A. For a given A, the smaller the r0/λ (λ is the perturbation wavelength), the larger the NSA of the fundamental mode. When r0/λ is large enough (r0 λ), the NSA of the fundamental mode is reduced to the prediction in the previous literatures within the framework of the third-order perturbation theory.

Key words: nonlinear saturation amplitude, Rayleigh-Taylor instability, cylindrical interface

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.)) 52.65.Vv (Perturbative methods)