A New Integro-Differential Equation for Rossby Solitary Waves with Topography Effect in Deep Rotational Fluids

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	A New Integro-Differential Equation for Rossby Solitary Waves with Topography Effect in Deep Rotational Fluids
	Yang, Hongwei 1; Zhao, Qingfeng 1; Yin, Baoshu 2,3; Dong, Huanhe 1
刊名	ABSTRACT AND APPLIED ANALYSIS
	2013
页码	597807
ISSN号	1085-3375
通讯作者	Yin, BS
中文摘要	From rotational potential vorticity-conserved equation with topography effect and dissipation effect, with the help of the multiple-scale method, a new integro-differential equation is constructed to describe the Rossby solitary waves in deep rotational fluids. By analyzing the equation, some conservation laws associated with Rossby solitary waves are derived. Finally, by seeking the numerical solutions of the equation with the pseudospectral method, by virtue of waterfall plots, the effect of detuning parameter and dissipation on Rossby solitary waves generated by topography are discussed, and the equation is compared with KdV equation and BO equation. The results show that the detuning parameter.. plays an important role for the evolution features of solitary waves generated by topography, especially in the resonant case; alpha large amplitude nonstationary disturbance is generated in the forcing region. This condition may explain the blocking phenomenon which exists in the atmosphere and ocean and generated by topographic forcing.
英文摘要	From rotational potential vorticity-conserved equation with topography effect and dissipation effect, with the help of the multiple-scale method, a new integro-differential equation is constructed to describe the Rossby solitary waves in deep rotational fluids. By analyzing the equation, some conservation laws associated with Rossby solitary waves are derived. Finally, by seeking the numerical solutions of the equation with the pseudospectral method, by virtue of waterfall plots, the effect of detuning parameter and dissipation on Rossby solitary waves generated by topography are discussed, and the equation is compared with KdV equation and BO equation. The results show that the detuning parameter.. plays an important role for the evolution features of solitary waves generated by topography, especially in the resonant case; alpha large amplitude nonstationary disturbance is generated in the forcing region. This condition may explain the blocking phenomenon which exists in the atmosphere and ocean and generated by topographic forcing.
学科主题	Mathematics
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics, Applied ; Mathematics
研究领域[WOS]	Mathematics
关键词[WOS]	VRIES EQUATION ; EXPLICIT ; FLOWS
收录类别	SCI
原文出处	10.1155/2013/597807
语种	英语
WOS记录号	WOS:000325564500001
公开日期	2014-07-17
内容类型	期刊论文
源URL	[http://ir.qdio.ac.cn/handle/337002/16388]
专题	海洋研究所_海洋环流与波动重点实验室
作者单位	1.Shandong Univ Sci & Technol, Informat Sch, Qingdao 266590, Peoples R China 2.Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China 3.Chinese Acad Sci, Key Lab Ocean Circulat & Wave, Qingdao 266071, Peoples R China
推荐引用方式 GB/T 7714	Yang, Hongwei,Zhao, Qingfeng,Yin, Baoshu,et al. A New Integro-Differential Equation for Rossby Solitary Waves with Topography Effect in Deep Rotational Fluids[J]. ABSTRACT AND APPLIED ANALYSIS,2013:597807.
APA	Yang, Hongwei,Zhao, Qingfeng,Yin, Baoshu,&Dong, Huanhe.(2013).A New Integro-Differential Equation for Rossby Solitary Waves with Topography Effect in Deep Rotational Fluids.ABSTRACT AND APPLIED ANALYSIS,597807.
MLA	Yang, Hongwei,et al."A New Integro-Differential Equation for Rossby Solitary Waves with Topography Effect in Deep Rotational Fluids".ABSTRACT AND APPLIED ANALYSIS (2013):597807.