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The dispersion relation for planetary waves in the presence of mean flow and topography. Part II: two-dimensional examples and global results

The dispersion relation for planetary waves in the presence of mean flow and topography. Part II: two-dimensional examples and global results
The dispersion relation for planetary waves in the presence of mean flow and topography. Part II: two-dimensional examples and global results
The one-dimensional examples of the dispersion relation for planetary waves under the Wentzel–Kramers–Brillouin–Jeffreys (WKBJ) assumption given in Part I are extended to two dimensions and analyzed globally. The dispersion relations are complicated, and there is a nontrivial lower bound to the frequency given by the column maximum of what would be the local Doppler shift to the frequency. This generates short waves of a much higher frequency than would be expected from traditional theory; these waves can have larger phase velocities than long waves but do not appear to have faster group velocities. The longer waves possess phase speeds in excellent agreement with recent remotely sensed data. Waves cannot propagate efficiently across ocean basins, suggesting that mechanisms other than eastern boundary generation may be playing a role in the ubiquitous nature of planetary waves.
0022-3670
2110-2133
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. (2005) The dispersion relation for planetary waves in the presence of mean flow and topography. Part II: two-dimensional examples and global results. Journal of Physical Oceanography, 35 (11), 2110-2133. (doi:10.1175/JPO2817.1).

Record type: Article

Abstract

The one-dimensional examples of the dispersion relation for planetary waves under the Wentzel–Kramers–Brillouin–Jeffreys (WKBJ) assumption given in Part I are extended to two dimensions and analyzed globally. The dispersion relations are complicated, and there is a nontrivial lower bound to the frequency given by the column maximum of what would be the local Doppler shift to the frequency. This generates short waves of a much higher frequency than would be expected from traditional theory; these waves can have larger phase velocities than long waves but do not appear to have faster group velocities. The longer waves possess phase speeds in excellent agreement with recent remotely sensed data. Waves cannot propagate efficiently across ocean basins, suggesting that mechanisms other than eastern boundary generation may be playing a role in the ubiquitous nature of planetary waves.

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Published date: 2005

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Local EPrints ID: 19351
URI: http://eprints.soton.ac.uk/id/eprint/19351
ISSN: 0022-3670
PURE UUID: f922c95a-3b21-4491-9b55-292175b04223

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Date deposited: 09 Feb 2006
Last modified: 07 Jan 2022 22:05

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

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