流体流过下凹地形的共振流动

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基金项目: 国家教委留学回国人员科研基金;上海市教委科学发展基金

Resonant Flow of a Fluid Past a Concave Topography

Shanghai University;Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China

摘要: 本文讨论流体流过下凹地形时共振产生非线性毛细重力波.采用摄动方法,导出了一个具负强迫力的KdV方程.采用拟谱方法,对所得方程进行了数值分析,给出了在超临界,亚临界以及精确共振情形的数值结果.
- 非线性波 /
- fKdV方程 /
- 表面张力
Abstract: In this paper,the resonant generation of nonlinear capillary-gravity waves in afluid system with the effecl of surface tension and the concave topography is examinedby using a perturbation method and numerical method.
- nonlinear waves /
- fKdV equation /
- surface tension

[1]	T.Y.Wu,Generation of upstream advancing solitons by moving disturbance,J.Fluid Mech.,184(1987),75-90.
[2]	R.Grimshaw,Resonant forcing of nonlinear dishersive waves,in The Conference Proceedings,Noulineur Di.sycr.siro 11-am}.v.Ed.L Debnath World Scientific(1992),1-12.
[3]	Y.Zhu,Resonant generations of nonlinear cyillar-gravity waves,Physics of Fluids,7,9(1995),2294-2296.
[4]	D.Fornberg and G.B.Whitham,A numerical and theoretical study of certain nonlinear wave phenomena,Phil.Trans.Roy.Soc.,London.A289(1978),373-404.

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