Scaling and energy transfer in rotating turbulence

Abstract

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 $k_{\perp }^{-2}$-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 ${\zeta }_p=p/2$.

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

References in corpus (1)

• Resonant Interactions in Rotating Homogeneous Three-dimensional Turbulence

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