Institutional Repository of Key Laboratory of Ocean Circulation and Wave Studies, Institute of Oceanology, Chinese Academy of Sciences
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
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ISSN | 1687-8132 |
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 |
DOI | 10.1155/2013/289269 |
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 | |
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 |
推荐引用方式 GB/T 7714 | 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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