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

Killworth, P.D.; 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. https://doi.org/10.1175/JPO2635.1

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Official URL: http://dx.doi.org/10.1175/JPO2635.1

Abstract/Summary

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.

Item Type:	Publication - Article
Digital Object Identifier (DOI):	https://doi.org/10.1175/JPO2635.1
ISSN:	0022-3670
Date made live:	07 Mar 2005 +0 (UTC)
URI:	https://nora.nerc.ac.uk/id/eprint/114863

Item Type:

Publication - Article

Digital Object Identifier (DOI):

https://doi.org/10.1175/JPO2635.1

ISSN:

0022-3670

Date made live:

07 Mar 2005 +0 (UTC)

URI:

https://nora.nerc.ac.uk/id/eprint/114863