A Gardner evolution equation for topographic Rossby waves and its mechanical analysis

Jie Wang, Ruigang Zhang and Liangui Yang

Applied Mathematics and Computation, 2020, vol. 385, issue C

Abstract: Topography plays an important role in the excitation and propagation of nonlinear Rossby solitary waves to atmospheres and oceans. In the present study, we investigate the effect of topography from the approach to topographic Rossby waves, not to the geostrophic viewpoint. It is the first time that a new evolution equation, called Gardner equation, is derived to simulate the propagation of nonlinear Rossby waves amplitude by using the methods of multiple scales and weak nonlinearity. In order to investigate the physical mechanisms of topographic Rossby wave, the shooting method is adopted to solve the Sturm-Liouville model equation with fixed boundary conditions and the Fourier spectral method is used to solve the nonlinear Gardner equation. Numerical results reveal that the magnitude of the meridional topography is more important compared to its meridional frequency on the evolution of nonlinear Rossby solitary waves, also, the variation of planetary vorticity is essential for the propagation of Rossby solitary waves.

Keywords: Shallow water models topography; Potential vorticity; Spectral method; Rossby solitary waves (search for similar items in EconPapers)
Date: 2020
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300320303878
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:385:y:2020:i:c:s0096300320303878

DOI: 10.1016/j.amc.2020.125426

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().