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The dispersion relation for planetary waves in the presence of mean flow and topography. Part I: analytical theory and one-dimensional examples

The dispersion relation for planetary waves in the presence of mean flow and topography. Part I: analytical theory and one-dimensional examples
The dispersion relation for planetary waves in the presence of mean flow and topography. Part I: analytical theory and one-dimensional examples
An eigenvalue problem for the dispersion relation for planetary waves in the presence of mean flow and bottom topographic gradients is derived, under the Wentzel–Kramers–Brillouin–Jeffreys (WKBJ) assumption, for frequencies that are low when compared with the inertial frequency. Examples are given for the World Ocean that show a rich variety of behavior, including no frequency (or latitudinal) cutoff, solutions trapped at certain depths, coalescence of waves, and a lack of dispersion for most short waves.
0022-3670
2692-2711
Killworth, P.D.
9fc0c4a0-e1fb-4073-8997-436b59c74bf2
Blundell, J.R.
88114f32-6b76-46b2-b2d8-d6ef64a82b0d
Killworth, P.D.
9fc0c4a0-e1fb-4073-8997-436b59c74bf2
Blundell, J.R.
88114f32-6b76-46b2-b2d8-d6ef64a82b0d

Killworth, P.D. and Blundell, J.R. (2004) The dispersion relation for planetary waves in the presence of mean flow and topography. Part I: analytical theory and one-dimensional examples. Journal of Physical Oceanography, 34 (12), 2692-2711. (doi:10.1175/JPO2635.1).

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Abstract

An eigenvalue problem for the dispersion relation for planetary waves in the presence of mean flow and bottom topographic gradients is derived, under the Wentzel–Kramers–Brillouin–Jeffreys (WKBJ) assumption, for frequencies that are low when compared with the inertial frequency. Examples are given for the World Ocean that show a rich variety of behavior, including no frequency (or latitudinal) cutoff, solutions trapped at certain depths, coalescence of waves, and a lack of dispersion for most short waves.

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Published date: 2004

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Local EPrints ID: 14863
URI: http://eprints.soton.ac.uk/id/eprint/14863
ISSN: 0022-3670
PURE UUID: c8feea29-2493-4172-a392-4630e2b4fa50

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Date deposited: 07 Mar 2005
Last modified: 15 Mar 2024 05:32

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Author: P.D. Killworth
Author: J.R. Blundell

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