Influence of bottom topography on integral constraints in zonal flows with parameterized potential vorticity fluxes

Ivchenko, V.O.; Sinha, B.; Zalesny, V.B.; Marsh, R.; Blaker, A.T. ORCID: https://orcid.org/0000-0001-5454-0131. 2013 Influence of bottom topography on integral constraints in zonal flows with parameterized potential vorticity fluxes. Journal of Physical Oceanography, 43 (2). 311-323. https://doi.org/10.1175/JPO-D-12-0126.1

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Abstract/Summary

An integral constraint for eddy fluxes of potential vorticity (PV), corresponding to global momentum conservation, is applied to two-layer zonal quasi-geostrophic channel flow. This constraint must be satisfied for any type of parameterization of eddy PV fluxes. Bottom topography strongly influence the integral constraint compared to a flat bottom channel. An analytical solution for the mean flow solution has been found by using asymptotic expansion in a small parameter which is the ratio of the Rossby radius to the meridional extent of the channel. Applying the integral constraint to this solution, one can find restrictions for eddy PV transfer coefficients which relate the eddy fluxes of PV to the mean flow. These restrictions strongly deviate from restrictions for the channel with flat bottom topography.

Item Type:	Publication - Article
Digital Object Identifier (DOI):	https://doi.org/10.1175/JPO-D-12-0126.1
Programmes:	NOC Programmes
ISSN:	00223670
Date made live:	11 Jan 2013 13:56 +0 (UTC)
URI:	https://nora.nerc.ac.uk/id/eprint/446904

Item Type:

Publication - Article

Digital Object Identifier (DOI):

https://doi.org/10.1175/JPO-D-12-0126.1

Programmes:

NOC Programmes

ISSN:

00223670

Date made live:

11 Jan 2013 13:56 +0 (UTC)

URI:

https://nora.nerc.ac.uk/id/eprint/446904