Scaling and energy transfer in rotating turbulence

Details Scaling and energy transfer in rotating turbulence Scaling and energy transfer in rotating turbulence

2006-12-21

arxiv.org/abs/physics/0612207v2

Physics

Fluid Dynamics

to be published in Europhysics Letters (www.epletters.net), minor changes to match version in print

Scientific paper

10.1209/0295-5075/77/34003

The inertial-range properties of quasi-stationary hydrodynamic turbulence under solid-body rotation are studied via high-resolution direct numerical simulations. For strong rotation the nonlinear energy cascade exhibits depletion and a pronounced anisotropy with the energy flux proceeding mainly perpendicularly to the rotation axis. This corresponds to a transition towards a quasi-two-dimensional flow similar to a linear Taylor-Proudman state. In contrast to the energy spectrum along the rotation axis which does not scale self-similarly, the perpendicular spectrum displays an inertial range with $k^{-2}_\perp$-behavior. A new phenomenology gives a rationale for the observations. The scaling exponents $\zeta_p$ of structure functions up to order $p=8$ measured perpendicular to the rotation axis indicate reduced intermittency with increasing rotation rate. The proposed phenomenology is consistent with the inferred asymptotic non-intermittent behavior $\zeta_p=p/2$.

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