Volume 77, Number 3, February 2007
|Number of page(s)||5|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||23 January 2007|
Scaling and energy transfer in rotating turbulence
Max-Planck-Institut für Plasmaphysik - 85748 Garching, Germany
2 Universität Bayreuth, Theoretische Physik II - 95440 Bayreuth, Germany
Accepted: 4 December 2006
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 quasitwo-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 -behavior. A new phenomenology gives a rationale for the observations. The scaling exponents of structure functions up to order 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 .
PACS: 47.32.-y – Vortex dynamics; rotating fluids / 47.27.Gs – Isotropic turbulence; homogeneous turbulence / 47.27.ek – Direct numerical simulations
© Europhysics Letters Association, 2007
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