Influence of bottom topography on integral constraints in zonal flows with parameterized potential vorticity fluxes
Influence of bottom topography on integral constraints in zonal flows with parameterized potential vorticity fluxes
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.
Channel flows, Eddies, Mesoscale processes, Ocean circulation, Ocean dynamics, Potential vorticity
311-323
Ivchenko, V.O.
beb6b3f0-541e-4327-866d-17944023bd8c
Sinha, B.
544b5a07-3d74-464b-9470-a68c69bd722e
Zalesny, V.B.
f498beb9-4ac3-410e-b563-0deeeb1f8e9e
Marsh, R.
702c2e7e-ac19-4019-abd9-a8614ab27717
Blaker, A.T.
94efe8b2-c744-4e90-87d7-db19ffa41200
February 2013
Ivchenko, V.O.
beb6b3f0-541e-4327-866d-17944023bd8c
Sinha, B.
544b5a07-3d74-464b-9470-a68c69bd722e
Zalesny, V.B.
f498beb9-4ac3-410e-b563-0deeeb1f8e9e
Marsh, R.
702c2e7e-ac19-4019-abd9-a8614ab27717
Blaker, A.T.
94efe8b2-c744-4e90-87d7-db19ffa41200
Ivchenko, V.O., Sinha, B., Zalesny, V.B., Marsh, R. and Blaker, A.T.
(2013)
Influence of bottom topography on integral constraints in zonal flows with parameterized potential vorticity fluxes.
Journal of Physical Oceanography, 43 (2), .
(doi:10.1175/JPO-D-12-0126.1).
Abstract
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.
Text
JPO-D-12-0126.1-Ivchenko.pdf
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More information
Published date: February 2013
Keywords:
Channel flows, Eddies, Mesoscale processes, Ocean circulation, Ocean dynamics, Potential vorticity
Organisations:
Marine Systems Modelling, Physical Oceanography
Identifiers
Local EPrints ID: 346904
URI: http://eprints.soton.ac.uk/id/eprint/346904
ISSN: 0022-3670
PURE UUID: bc1761b5-8800-45a3-870c-ac50faf99336
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Date deposited: 11 Jan 2013 13:56
Last modified: 14 Mar 2024 12:43
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Contributors
Author:
V.O. Ivchenko
Author:
B. Sinha
Author:
V.B. Zalesny
Author:
A.T. Blaker
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