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Statistics of an Unstable Barotropic Jet from a Cumulant Expansion

ABSTRACT

Low-order equal-time statistics of a barotropic flow on a rotating sphere are investigated. The flow is driven by linear relaxation toward an unstable zonal jet. For relatively short relaxation times, the flow is dominated by critical-layer waves. For sufficiently long relaxation times, the flow is turbulent. Statistics obtained from a second-order cumulant expansion are compared to those accumulated in direct numerical simulations, revealing the strengths and limitations of the expansion for different relaxation times.

(ProQuest: ... denotes formulae omitted.)

1. Introduction

Many geophysical flows are subject to the effects of planetary rotation and to forcing and dissipation on ...

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