Second-order random wave solutions for interfacial internal waves in N-layer density-stratified fluid

IOCAS-IR > 海洋环流与波动重点实验室

	Second-order random wave solutions for interfacial internal waves in N-layer density-stratified fluid
	Chen, XG ; Song, JB
	2006-04-01
发表期刊	CHINESE PHYSICS
卷号	15 期号:4 页码:756-766
文章类型	Article
摘要	This paper studies the random internal wave equations describing the density interface displacements and the velocity potentials of N-layer stratified fluid contained between two rigid walls at the top and bottom. The density interface displacements and the velocity potentials were solved to the second-order by an expansion approach used by Longuet-Higgins (1963) and Dean (1979) in the study of random surface waves and by Song (2004) in the study of second-order random wave solutions for internal waves in a two-layer fluid. The obtained results indicate that the first-order Solutions are a linear superposition of many wave components with different amplitudes, wave numbers and frequencies, and that the amplitudes of first-order wave components with the same wave numbers and frequencies between the adjacent density interfaces are modulated by each other. They also show that the second-order solutions consist of two parts: the first one is the first-order solutions, and the second one is the Solutions of the second-order asymptotic equations, which describe the second-order nonlinear modification and the second-order wave-wave interactions not only among the wave components on same density interfaces but also among the wave components between the adjacent density interfaces. Both the first-order and second-order solutions depend on the density and depth of each layer. It is also deduced that the results of the present work include those derived by Song (2004) for second-order random wave solutions for internal waves in a two-layer fluid as a particular case.
关键词	N-layer Density-stratified Fluid Interfacial Internal Waves Second-order Random Wave Solutions
收录类别	SCI
语种	英语
WOS记录号	WOS:000236720900016
引用统计	被引频次：16[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.qdio.ac.cn/handle/337002/32563
专题	海洋环流与波动重点实验室
作者单位	1.Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China 2.Inner Mongolia Univ Technol, Coll Sci, Hohhot 010051, Peoples R China
推荐引用方式 GB/T 7714	Chen, XG,Song, JB. Second-order random wave solutions for interfacial internal waves in N-layer density-stratified fluid[J]. CHINESE PHYSICS,2006,15(4):756-766.
APA	Chen, XG,&Song, JB.(2006).Second-order random wave solutions for interfacial internal waves in N-layer density-stratified fluid.CHINESE PHYSICS,15(4),756-766.
MLA	Chen, XG,et al."Second-order random wave solutions for interfacial internal waves in N-layer density-stratified fluid".CHINESE PHYSICS 15.4(2006):756-766.

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