Magazine article from our research archive:

Free gravity waves and balanced dynamics

(Manuscript received 31 July 2001, in final form 14 May 2002)

ABSTRACT

It is shown how a renormalization technique, which is a variant of classical Krylov-Bogolyubov-Mitropol'skii averaging, can be used to obtain slow evolution equations for the vortical and inertia-gravity wave components of the dynamics in a rotating flow. The evolution equations for each component are obtained to second order in the Rossby number, and the nature of the coupling between the two is analyzed carefully. It is also shown how classical balance models such as quasigeostrophic dynamics and its second-order extension appear naturally as a special case of this renormalized system, thereby providing a rigorous ...

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