Higher-order Boussinesq-type equations for interfacial waves in a two-fluid system

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	Higher-order Boussinesq-type equations for interfacial waves in a two-fluid system
	Yang Hongli 1,2,3; Yang Liangui 1; Song Jinbao 2,3; Hou Yijun 2,3
	2009
发表期刊	ACTA OCEANOLOGICA SINICA
ISSN	0253-505X
卷号	28 期号:4 页码:118-124
文章类型	Article
摘要	Interfacial waves propagating along the interface between a three-dimensional two-fluid system with a rigid upper boundary and an uneven bottom are considered. There is a light fluid layer overlying a heavier one in the system, and a small density difference exists between the two layers. A set of higher-order Boussinesq-type equations in terms of the depth-averaged velocities accounting for stronger nonlinearity are derived. When the small parameter measuring frequency dispersion keeping up to lower-order and full nonlinearity are considered, the equations include the Choi and Camassa's results (1999). The enhanced equations in terms of the depth-averaged velocities are obtained by applying the enhancement technique introduced by Madsen et al. (1991) and Schaffer and Madsen (1995a). It is noted that the equations derived from the present study include, as special cases, those obtained by Madsen and Schaffer (1998). By comparison with the dispersion relation of the linear Stokes waves, we found that the dispersion relation is more improved than Choi and Camassa's (1999) results, and the applicable scope of water depth is deeper.; Interfacial waves propagating along the interface between a three-dimensional two-fluid system with a rigid upper boundary and an uneven bottom are considered. There is a light fluid layer overlying a heavier one in the system, and a small density difference exists between the two layers. A set of higher-order Boussinesq-type equations in terms of the depth-averaged velocities accounting for stronger nonlinearity are derived. When the small parameter measuring frequency dispersion keeping up to lower-order and full nonlinearity are considered, the equations include the Choi and Camassa's results (1999). The enhanced equations in terms of the depth-averaged velocities are obtained by applying the enhancement technique introduced by Madsen et al. (1991) and Schaffer and Madsen (1995a). It is noted that the equations derived from the present study include, as special cases, those obtained by Madsen and Schaffer (1998). By comparison with the dispersion relation of the linear Stokes waves, we found that the dispersion relation is more improved than Choi and Camassa's (1999) results, and the applicable scope of water depth is deeper.
关键词	Two-layer Fluid Interfacial Waves Boussinesq-type Equations Enhanced Equations Fully Nonlinear
学科领域	Oceanography
收录类别	SCI
语种	英语
WOS记录号	WOS:000271078100015
引用统计	被引频次：1[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/337002/2416
专题	海洋环流与波动重点实验室
作者单位	1.Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China 2.Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China 3.Chinese Acad Sci, Key Lab Ocean Circulat & Waves, Qingdao 266071, Peoples R China
第一作者单位	中国科学院海洋研究所; 海洋环流与波动重点实验室
推荐引用方式 GB/T 7714	Yang Hongli,Yang Liangui,Song Jinbao,et al. Higher-order Boussinesq-type equations for interfacial waves in a two-fluid system[J]. ACTA OCEANOLOGICA SINICA,2009,28(4):118-124.
APA	Yang Hongli,Yang Liangui,Song Jinbao,&Hou Yijun.(2009).Higher-order Boussinesq-type equations for interfacial waves in a two-fluid system.ACTA OCEANOLOGICA SINICA,28(4),118-124.
MLA	Yang Hongli,et al."Higher-order Boussinesq-type equations for interfacial waves in a two-fluid system".ACTA OCEANOLOGICA SINICA 28.4(2009):118-124.

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