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Parameterization of ocean eddies: Potential vorticity mixing, energetics and Arnold's first stability theorem

Abstract:

A family of eddy closures is studied that flux potential vorticity down-gradient and solve an explicit budget for the eddy energy, following the approach developed by Eden and Greatbatch (2008, Ocean Modelling). The aim of this manuscript is to demonstrate that when energy conservation is satisfied in this manner, the growth or decay of the parameterized eddy energy relates naturally to the instability or stability of the flow as described by Arnold's first stability theorem. The resultant fa...

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Publication status:
Published

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Institution:
University of Oxford
Department:
Oxford, MPLS, Physics, Atmos Ocean and Planet Physics
Adcroft, AJ More by this author
Journal:
OCEAN MODELLING
Volume:
32
Issue:
3-4
Pages:
188-204
Publication date:
2010
DOI:
ISSN:
1463-5003
URN:
uuid:e5c84226-55d2-471f-a5a8-492437280069
Source identifiers:
54687
Local pid:
pubs:54687

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