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Predictability of quasi-geostrophic turbulence

Published online by Cambridge University Press:  02 September 2002

WILLIAM J. MERRYFIELD  and
GREG HOLLOWAY
WILLIAM J. MERRYFIELD
Affiliation:
Institute of Ocean Sciences, Sidney, BC, V8L 4B2, [email protected]
GREG HOLLOWAY
Affiliation:
Institute of Ocean Sciences, Sidney, BC, V8L 4B2, [email protected]
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Abstract

A method is developed for statistical prediction of turbulent geophysical flows that is more efficient than ensemble integrations. We consider the evolution of low-order moments for inviscid quasi-geostrophic turbulence. Guided by statistical mechanics, equations are developed for predicting the mean and the variance about the mean as functions of position and time. These equations are consistent with the exact moment equations and contain irreversible (entropy producing) fluxes that must be specified in terms of known moments. Using simple choices for these dependences, the resulting scheme, involving just two spatial fields, typically outperforms 100-realization ensembles.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 465 , 25 August 2002 , pp. 191 - 212
Copyright
© 2002 Cambridge University Press

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