Is the coefficient of eddy potential vorticity diffusion positive?: Part 1: barotropic zonal channel
Is the coefficient of eddy potential vorticity diffusion positive?: Part 1: barotropic zonal channel
The question of whether the coefficient of diffusivity of potential vorticity by mesoscale eddies is positive is studied for a zonally reentrant barotropic channel using the quasi-geostrophic approach. The topography is limited to the first mode in the meridional direction but is unlimited in the zonal direction. We derive an analytic solution for the stationary (time-independent) solution. New terms associated with parameterized eddy fluxes of potential vorticity appear both in the equations for the mean zonal momentum balance, and the kinetic energy balance. These terms are linked with the topographic form stress exerted by parameterized eddies. It is demonstrated that in regimes with zonal flow (analogous to the Antarctic Circumpolar Current), the coefficient of eddy potential vorticity diffusivity must be positive.
1589-1607
Ivchenko, V.O.
3988bc16-175d-4249-bc0e-0b096cc7b3a6
Zalesny, V.B.
f498beb9-4ac3-410e-b563-0deeeb1f8e9e
Sinha, B.
544b5a07-3d74-464b-9470-a68c69bd722e
July 2018
Ivchenko, V.O.
3988bc16-175d-4249-bc0e-0b096cc7b3a6
Zalesny, V.B.
f498beb9-4ac3-410e-b563-0deeeb1f8e9e
Sinha, B.
544b5a07-3d74-464b-9470-a68c69bd722e
Ivchenko, V.O., Zalesny, V.B. and Sinha, B.
(2018)
Is the coefficient of eddy potential vorticity diffusion positive?: Part 1: barotropic zonal channel.
Journal of Physical Oceanography, .
(doi:10.1175/JPO-D-17-0229.1).
Abstract
The question of whether the coefficient of diffusivity of potential vorticity by mesoscale eddies is positive is studied for a zonally reentrant barotropic channel using the quasi-geostrophic approach. The topography is limited to the first mode in the meridional direction but is unlimited in the zonal direction. We derive an analytic solution for the stationary (time-independent) solution. New terms associated with parameterized eddy fluxes of potential vorticity appear both in the equations for the mean zonal momentum balance, and the kinetic energy balance. These terms are linked with the topographic form stress exerted by parameterized eddies. It is demonstrated that in regimes with zonal flow (analogous to the Antarctic Circumpolar Current), the coefficient of eddy potential vorticity diffusivity must be positive.
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Accepted/In Press date: 8 May 2018
e-pub ahead of print date: 17 July 2018
Published date: July 2018
Identifiers
Local EPrints ID: 422290
URI: http://eprints.soton.ac.uk/id/eprint/422290
ISSN: 0022-3670
PURE UUID: 898fc250-21ae-4c6b-9643-c282ae683168
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Date deposited: 20 Jul 2018 16:30
Last modified: 16 Mar 2024 06:52
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Contributors
Author:
V.O. Ivchenko
Author:
V.B. Zalesny
Author:
B. Sinha
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