A new approximation for the dynamics of topographic Rossby waves

A new approximation for the dynamics of topographic Rossby waves

A new theory of non-harmonic topographic Rossby waves over a slowly varying bottom depth of arbitrary, 1-D, profile is developed based on the linearised shallow water equations on the f-plane. The theory yields explicit approximate expressions for the phase speed and non-harmonic cross-slope structu...

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Bibliographic Details
Main Authors: Yosef Ashkenazy, Nathan Paldor, Yair Zarmi
Format: Article
Language:English
Published: Taylor & Francis Group 2012-04-01
Series:Tellus: Series A, Dynamic Meteorology and Oceanography
Subjects:
topographic waves
perturbation method
lake dynamics
linearised shallow water equations
polar coordinates
Online Access:http://www.tellusa.net/index.php/tellusa/article/view/18160/pdf
Description
Summary:A new theory of non-harmonic topographic Rossby waves over a slowly varying bottom depth of arbitrary, 1-D, profile is developed based on the linearised shallow water equations on the f-plane. The theory yields explicit approximate expressions for the phase speed and non-harmonic cross-slope structure of waves. Analytical expressions are derived in both Cartesian and Polar coordinates by letting the frequency vary in the cross-shelf direction and are verified by comparing them with the numerical results obtained by running an ocean general circulation model (the MITgcm). The proposed approximation may be suitable for studying open ocean and coastal shelf wave dynamics.
ISSN:0280-6495
1600-0870

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