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Rossby Solitary Waves Generated by Wavy Bottom in Stratified Fluids
Yang, Hongwei1; Yin, Baoshu2,3; Zhong, Bo4; Dong, Huanhe1; Yin, BS
2013
发表期刊ADVANCES IN MECHANICAL ENGINEERING
ISSN1687-8132
页码289269
文章类型Article
摘要Rossby solitary waves generated by a wavy bottom are studied in stratified fluids. From the quasigeostrophic vorticity equation including a wavy bottom and dissipation, by employing perturbation expansions and stretching transforms of time and space, a forced KdV-ILW-Burgers equation is derived through a new scale analysis, modelling the evolution of Rossby solitary waves. By analysis and calculation, based on the conservation relations of the KdV-ILW-Burgers equation, the conservation laws of Rossby solitary waves are obtained. Finally, the numerical solutions of the forced KdV-ILW-Burgers equation are given by using the pseudospectral method, and the evolutional feature of solitary waves generated by a wavy bottom is discussed. The results show that, besides the solitary waves, an additional harmonic wave appears in the wavy bottom forcing region, and they propagate independently and do not interfere with each other. Furthermore, the wavy bottom forcing can prevent wave breaking to some extent. Meanwhile, the effect of dissipation and detuning parameter on Rossby solitary waves is also studied. Research on the wavy bottom effect on the Rossby solitary waves dynamics is of interest in analytical geophysical fluid dynamics.; Rossby solitary waves generated by a wavy bottom are studied in stratified fluids. From the quasigeostrophic vorticity equation including a wavy bottom and dissipation, by employing perturbation expansions and stretching transforms of time and space, a forced KdV-ILW-Burgers equation is derived through a new scale analysis, modelling the evolution of Rossby solitary waves. By analysis and calculation, based on the conservation relations of the KdV-ILW-Burgers equation, the conservation laws of Rossby solitary waves are obtained. Finally, the numerical solutions of the forced KdV-ILW-Burgers equation are given by using the pseudospectral method, and the evolutional feature of solitary waves generated by a wavy bottom is discussed. The results show that, besides the solitary waves, an additional harmonic wave appears in the wavy bottom forcing region, and they propagate independently and do not interfere with each other. Furthermore, the wavy bottom forcing can prevent wave breaking to some extent. Meanwhile, the effect of dissipation and detuning parameter on Rossby solitary waves is also studied. Research on the wavy bottom effect on the Rossby solitary waves dynamics is of interest in analytical geophysical fluid dynamics.
学科领域Thermodynamics ; Engineering
DOI10.1155/2013/289269
URL查看原文
收录类别SCI
语种英语
WOS研究方向Thermodynamics ; Engineering
WOS类目Thermodynamics ; Engineering, Mechanical
WOS记录号WOS:000314414100001
WOS关键词UNSTABLE TOPOGRAPHY ; SURFACE-WAVE ; FLOWS ; BLOCKING ; EQUATION
WOS标题词Science & Technology ; Physical Sciences ; Technology
引用统计
被引频次:2[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/337002/16432
专题海洋环流与波动重点实验室
通讯作者Yin, BS
作者单位1.Shandong Univ Sci & Technol, Coll Informat Sci & Engn, Qingdao 266590, Shandong, Peoples R China
2.Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Shandong, Peoples R China
3.Chinese Acad Sci, Key Lab Ocean Circulat & Wave, Qingdao 266071, Shandong, Peoples R China
4.Beijing Jiaotong Univ, Fac Sci, Beijing 100044, Peoples R China
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Yang, Hongwei,Yin, Baoshu,Zhong, Bo,et al. Rossby Solitary Waves Generated by Wavy Bottom in Stratified Fluids[J]. ADVANCES IN MECHANICAL ENGINEERING,2013:289269.
APA Yang, Hongwei,Yin, Baoshu,Zhong, Bo,Dong, Huanhe,&Yin, BS.(2013).Rossby Solitary Waves Generated by Wavy Bottom in Stratified Fluids.ADVANCES IN MECHANICAL ENGINEERING,289269.
MLA Yang, Hongwei,et al."Rossby Solitary Waves Generated by Wavy Bottom in Stratified Fluids".ADVANCES IN MECHANICAL ENGINEERING (2013):289269.
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