中国物理B ›› 2008, Vol. 17 ›› Issue (10): 3792-3798.doi: 10.1088/1674-1056/17/10/043

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Mode coupling in nonlinear Kelvin--Helmholtz instability

王立锋1, 李英骏1, 孟立民1, 叶文华2   

  1. (1)China University of Mining and Technology, Beijing 100083, China; (2)Institute of Applied Physics and Computational Mathematics, Beijing 100088, China;Department of Physics, Zhejiang University, Hangzhou { rm 310028, China
  • 收稿日期:2008-01-28 修回日期:2008-03-12 出版日期:2008-10-20 发布日期:2008-10-20
  • 基金资助:
    Project supported by the Research Fund for the Doctoral Program of Higher Education of China (Grant No 20070290008) and the National Basic Research Program of China (Grant No 2007CB815100).

Mode coupling in nonlinear Kelvin--Helmholtz instability

Wang Li-Feng(王立锋)a), Ye Wen-Hua(叶文华)b)c)†, Li Ying-Jun(李英骏)a), and Meng Li-Min(孟立民)a)   

  1. a China University of Mining and Technology, Beijing 100083, China; b Institute of Applied Physics and Computational Mathematics, Beijing 100088, China; c Department of Physics, Zhejiang University, Hangzhou  310028, China
  • Received:2008-01-28 Revised:2008-03-12 Online:2008-10-20 Published:2008-10-20
  • Supported by:
    Project supported by the Research Fund for the Doctoral Program of Higher Education of China (Grant No 20070290008) and the National Basic Research Program of China (Grant No 2007CB815100).

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摘要： This paper investigates the interaction of a small number of modes in the two-fluid Kelvin--Helmholtz instability at the nonlinear regime by using a two-dimensional hydrodynamic code. This interaction is found to be relatively long range in wave-number space and also it acts in both directions, i.e.~short wavelengths affect long wavelengths and vice versa. There is no simple equivalent transformation from a band of similar modes to one mode representing their effective amplitude. Three distinct stages of interaction have been identified.

关键词: Kelvin--Helmholtz instability, mode coupling, numerical simulation

Abstract: This paper investigates the interaction of a small number of modes in the two-fluid Kelvin--Helmholtz instability at the nonlinear regime by using a two-dimensional hydrodynamic code. This interaction is found to be relatively long range in wave-number space and also it acts in both directions, i.e. short wavelengths affect long wavelengths and vice versa. There is no simple equivalent transformation from a band of similar modes to one mode representing their effective amplitude. Three distinct stages of interaction have been identified.

Key words: Kelvin--Helmholtz instability, mode coupling, numerical simulation

中图分类号:  (Nonlinearity, bifurcation, and symmetry breaking)

  • 47.20.Ky
47.11.Bc (Finite difference methods) 47.20.Ft (Instability of shear flows (e.g., Kelvin-Helmholtz))