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A form of potential vorticity equation for depth-integrated flow with a free surface

Hughes, C. W. ORCID: https://orcid.org/0000-0002-9355-0233. 2008 A form of potential vorticity equation for depth-integrated flow with a free surface. Journal of Physical Oceanography, 38 (5). 1131-1136. 10.1175/2007JPO3809.1

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Abstract/Summary

A form of linear, barotropic potential vorticity equation is derived for an ocean with a free surface, in which only one scalar variable appears (ocean bottom pressure, or subsurface pressure). Unlike quasigeostrophic or rigid-lid derivations, the only approximation made (apart from linearization) is that changes in the circulation must be slow compared with the inertial frequency. Effects of stratification are included, but only parametrically in the sense that density is treated as a given quantity or forcing term rather than a variable.

Item Type: Publication - Article
Digital Object Identifier (DOI): 10.1175/2007JPO3809.1
Programmes: Oceans 2025 > Climate, ocean circulation and sea level
POL Programmes > Sea-level, bottom pressure and space geodesy > Continuous ocean monitoring methods
ISSN: 0022-3670
Additional Keywords: Flow; Sea level variability; Barotropic Response; Southern Ocean; Atmospheric Disturbances; Global Ocean; Wind; Circulation; Topography; Resonance; Pressure
NORA Subject Terms: Marine Sciences
Date made live: 17 Dec 2008 14:57 +0 (UTC)
URI: https://nora.nerc.ac.uk/id/eprint/5014

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