Rossby waves with linear topography in barotropic fluids

doi:10.1007/s00343-008-0334-7

IOCAS-IR > 海洋环流与波动重点实验室

	Rossby waves with linear topography in barotropic fluids
	Yang Liangui 2; Da Chaojiu 2,3; Song Jian 2,4; Zhang Huiqin 5; Yang Hongli 1; Hou Yijun 1
	2008-08-01
发表期刊	CHINESE JOURNAL OF OCEANOLOGY AND LIMNOLOGY
ISSN	0254-4059
卷号	26 期号:3 页码:334-338
文章类型	Article
摘要	Rossby waves are the most important waves in the atmosphere and ocean, and are parts of a large-scale system in fluid. The theory and observation show that, they satisfy quasi-geostrophic and quasi-static equilibrium approximations. In this paper, solitary Rossby waves induced by linear topography in barotropic fluids with a shear flow are studied. In order to simplify the problem, the topography is taken as a linear function of latitude variable y, then employing a weakly nonlinear method and a perturbation method, a KdV (Korteweg-de Vries) equation describing evolution of the amplitude of solitary Rossby waves induced by linear topography is derived. The results show that the variation of linear topography can induce the solitary Rossby waves in barotropic fluids with a shear flow, and extend the classical geophysical theory of fluid dynamics.; Rossby waves are the most important waves in the atmosphere and ocean, and are parts of a large-scale system in fluid. The theory and observation show that, they satisfy quasi-geostrophic and quasi-static equilibrium approximations. In this paper, solitary Rossby waves induced by linear topography in barotropic fluids with a shear flow are studied. In order to simplify the problem, the topography is taken as a linear function of latitude variable y, then employing a weakly nonlinear method and a perturbation method, a KdV (Korteweg-de Vries) equation describing evolution of the amplitude of solitary Rossby waves induced by linear topography is derived. The results show that the variation of linear topography can induce the solitary Rossby waves in barotropic fluids with a shear flow, and extend the classical geophysical theory of fluid dynamics.
关键词	Nonlinear Rossby Waves Kdv Equation Topography Effect Perturbation Method
学科领域	Limnology ; Oceanography
DOI	10.1007/s00343-008-0334-7
URL	查看原文
收录类别	SCI
语种	英语
WOS记录号	WOS:000258601000016
引用统计	被引频次：19[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/337002/5242
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, Sch Math Sci, Hohhot 010021, Peoples R China 3.NW Univ Nationalities, Coll Comp Sci & Informat Engn, Lanzhou 730124, Peoples R China 4.Inner Mongolia Univ Technol, Coll Sci, Hohhot 010062, Peoples R China 5.Chinese Acad Sci, Inst Mech, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yang Liangui,Da Chaojiu,Song Jian,et al. Rossby waves with linear topography in barotropic fluids[J]. CHINESE JOURNAL OF OCEANOLOGY AND LIMNOLOGY,2008,26(3):334-338.
APA	Yang Liangui,Da Chaojiu,Song Jian,Zhang Huiqin,Yang Hongli,&Hou Yijun.(2008).Rossby waves with linear topography in barotropic fluids.CHINESE JOURNAL OF OCEANOLOGY AND LIMNOLOGY,26(3),334-338.
MLA	Yang Liangui,et al."Rossby waves with linear topography in barotropic fluids".CHINESE JOURNAL OF OCEANOLOGY AND LIMNOLOGY 26.3(2008):334-338.

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