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)
a China University of Mining and Technology, Beijing 100083, China; b Institute of Applied Physics and Computational Mathematics, Beijing 100088, China; cDepartment of Physics, Zhejiang University, Hangzhou 310028, China
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.
Received: 28 January 2008
Revised: 12 March 2008
Accepted manuscript online:
PACS:
47.20.Ky
(Nonlinearity, bifurcation, and symmetry breaking)
(Instability of shear flows (e.g., Kelvin-Helmholtz))
Fund: 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).
Cite this article:
Wang Li-Feng(王立锋), Ye Wen-Hua(叶文华), Li Ying-Jun(李英骏), and Meng Li-Min(孟立民) Mode coupling in nonlinear Kelvin--Helmholtz instability 2008 Chin. Phys. B 17 3792
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