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Local and nonlocal dispersive turbulence
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32.If the initial conditions and/or forcing project onto zonal/near-zonal modes, then, much like the rapid dissipation of ageostrophic components in the 3D rotating Boussinesq equations (Refs. 33 and 34), the (catalytic) interactions will lead to the dissipation of nonzonal components by sweeping them to small scales, thereby giving the (mistaken) impression of spontaneous zonal flow generation.
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39.We are using the term “inertial range” quite loosely in the present work.
40.Note that high-resolution studies of the enstrophy cascade in a stationary state (i.e., with some means of destroying long-lasting coherent vortices) are in good agreement with the anticipated scaling (Refs. 41–43).
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52.An interesting point raised by one of the reviewers concerns the time scales involved in the emergence of these coherent features. It is possible that the seemingly isotropic eddies for small will at a later time deform to yield corresponding zonal flows. We do not see this happening for fairly long times. In fact, most of the evolution in the fields occurs while the Dirichlet quotient (Ref. 53) decays rapidly in time, and these snapshots are well after a leveling off of this quotient.
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