An Initial-Value Problem For Vortex Rossby Waves On A Beta-Plane

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Creator: 

Cai, Mingyao

Date: 

2021

Abstract: 

In this thesis, an initial value problem is presented and we consider the problem analytically. We define a vortex with a circular motion in a configuration for an inviscid fluid flow on a horizontal plane under the influence of the Coriolis force. We consider a wave generated by a specified initial condition which gives an initial value problem. We obtain a nonlinear equation which we solve by looking for a perturbation series solution. The nonlinear wave interactions give rise to a wave-induced mean flow component, which modifies the background vortex flow, as well as a higher wavenumber component. We also find additional terms with a wavenumber of one which represents the beta-gyre effect.

Subject: 

Applied Mechanics

Language: 

English

Publisher: 

Carleton University

Thesis Degree Name: 

Master of Science: 
M.Sc.

Thesis Degree Level: 

Master's

Thesis Degree Discipline: 

Mathematics

Parent Collection: 

Theses and Dissertations

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