Influence of Bottom Topography on Integral Constraints in Zonal Flows with Parameterized Potential Vorticity Fluxes

Abstract An integral constraint for eddy fluxes of potential vorticity (PV), corresponding to global momentum conservation, is applied to two-layer zonal quasigeostrophic channel flow. This constraint must be satisfied for any type of parameterization of eddy PV fluxes. Bottom topography strongly in...

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Bibliographic Details
Published inJournal of physical oceanography Vol. 43; no. 2; pp. 311 - 323
Main Authors IVCHENKO, V. O, SINHA, B, ZALESNY, V. B, MARSH, R, BLAKER, A. T
Format Journal Article
LanguageRussian
English
Published Boston, MA American Meteorological Society 01.02.2013
Subjects
Channel flow
Influence
Marine
Ocean circulation
Oceanography
Studies
Topography
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Summary:Abstract An integral constraint for eddy fluxes of potential vorticity (PV), corresponding to global momentum conservation, is applied to two-layer zonal quasigeostrophic channel flow. This constraint must be satisfied for any type of parameterization of eddy PV fluxes. Bottom topography strongly influences 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 that relate the eddy fluxes of PV to the mean flow. These restrictions strongly deviate from restrictions for the channel with flat bottom topography.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 23
ISSN:0022-3670
1520-0485
DOI:10.1175/JPO-D-12-0126.1