Free-surface, purely azimuthal equatorial flows in spherical coordinates with stratification

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:266

Article

Henry, D.¹  Martin, C., I¹ 

[1] Univ Coll Cork, Sch Math Sci, Cork, Ireland

关键词: Azimuthal flows;    Variable (linear) density;    Spherical coordinates;    Coriolis force;    Implicit function theorem;    Short-wavelength perturbation;   

DOI  :  10.1016/j.jde.2018.11.017

来源: Elsevier

【 摘 要 】

In this paper we derive an exact solution to the governing equations for geophysical fluid dynamics in spherical coordinates which incorporates fluid stratification. This solution represents a steady, purely-azimuthal equatorial flow with an associated free-surface. Following the derivation of the solution we demonstrate that there is a well-defined relationship between the imposed pressure at the free-surface and the resulting distortion of the surface's shape. Finally, the solution for stratified fluid flow is subjected to a short-wavelength stability analysis. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free