Issue
EPL
Volume 77, Number 3, February 2007
Article Number 34003
Number of page(s) 5
Section Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics
DOI http://dx.doi.org/10.1209/0295-5075/77/34003
Published online 23 January 2007
EPL, 77 (2007) 34003
DOI: 10.1209/0295-5075/77/34003

Scaling and energy transfer in rotating turbulence

W.-C. Müller1 and M. Thiele2

1  Max-Planck-Institut für Plasmaphysik - 85748 Garching, Germany
2  Universität Bayreuth, Theoretische Physik II - 95440 Bayreuth, Germany


received 19 July 2006; accepted in final form 4 December 2006; published February 2007
published online 23 January 2007

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$\hbox{--} $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 $\zeta _{p}=p/2$.

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