Rossby Solitary Waves Generated by Wavy Bottom in Stratified Fluids
Joint Authors
Zhong, Bo
Yang, Hongwei
Yin, Baoshu
Dong, Huanhe
Source
Advances in Mechanical Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-01-22
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Yang, Hongwei& Yin, Baoshu& Zhong, Bo& Dong, Huanhe. 2013. Rossby Solitary Waves Generated by Wavy Bottom in Stratified Fluids. Advances in Mechanical Engineering،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-460636
Modern Language Association (MLA)
Yang, Hongwei…[et al.]. Rossby Solitary Waves Generated by Wavy Bottom in Stratified Fluids. Advances in Mechanical Engineering No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-460636
American Medical Association (AMA)
Yang, Hongwei& Yin, Baoshu& Zhong, Bo& Dong, Huanhe. Rossby Solitary Waves Generated by Wavy Bottom in Stratified Fluids. Advances in Mechanical Engineering. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-460636
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-460636