Second-order Stokes solutions for internal waves in three-layer density-stratified fluid

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	Second-order Stokes solutions for internal waves in three-layer density-stratified fluid
	Chen, XG ; Song, JB ; Sun, Q
	2005-12-01
发表期刊	ACTA PHYSICA SINICA
ISSN	1000-3290
卷号	54 期号:12 页码:5699-5706
文章类型	Article
摘要	In this paper, internal waves in three-layer stratified fluid are investigated by using a perturbation method, and the second-order asymptotic solutions of the velocity potentials and the second-order Stokes solutions of the associated elevations of the interfacial waves are presented based on the small amplitude wave theory. As expected, the first-order solutions are consistent with ordinary linear theoretical results, and the second-order solutions describe the second-order modification on the linear theory and the interactions between the two interfacial waves. Both the first-order and second-order solutions derived depend on the depths and densities of the three-layer fluid. It is also noted that the solutions obtained from the present work include the theoretical results derived by Umeyama as special cases.; In this paper, internal waves in three-layer stratified fluid are investigated by using a perturbation method, and the second-order asymptotic solutions of the velocity potentials and the second-order Stokes solutions of the associated elevations of the interfacial waves are presented based on the small amplitude wave theory. As expected, the first-order solutions are consistent with ordinary linear theoretical results, and the second-order solutions describe the second-order modification on the linear theory and the interactions between the two interfacial waves. Both the first-order and second-order solutions derived depend on the depths and densities of the three-layer fluid. It is also noted that the solutions obtained from the present work include the theoretical results derived by Umeyama as special cases.
关键词	Three-layer Density Stratified Fluid Internal Wave Second-order Stokes Solutions Small Amplitude Wave Theory
学科领域	Physics, Multidisciplinary
收录类别	SCI
语种	英语
WOS记录号	WOS:000234259300035
引用统计	被引频次：13[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/337002/2436
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 010062, Peoples R China 3.Chinese Acad Sci, Grad Sch, Beijing 100039, Peoples R China
推荐引用方式 GB/T 7714	Chen, XG,Song, JB,Sun, Q. Second-order Stokes solutions for internal waves in three-layer density-stratified fluid[J]. ACTA PHYSICA SINICA,2005,54(12):5699-5706.
APA	Chen, XG,Song, JB,&Sun, Q.(2005).Second-order Stokes solutions for internal waves in three-layer density-stratified fluid.ACTA PHYSICA SINICA,54(12),5699-5706.
MLA	Chen, XG,et al."Second-order Stokes solutions for internal waves in three-layer density-stratified fluid".ACTA PHYSICA SINICA 54.12(2005):5699-5706.

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