On the energy spectrum of rapidly rotating forced turbulence

Abstract

In this paper, we investigate the statistical features of the fully developed, forced, rapidly rotating, {turbulent} system using numerical simulations, and model {the} energy {spectrum} that {fits} well with the numerical data. Among the wavenumbers ($k$) larger than the Kolmogorov dissipation wavenumber, the energy is distributed such that the suitably non-dimensionized energy spectrum is $\bar{E}(\bar{k})\approx \exp (-0.05\bar{k})$, where overbar denotes appropriate non-dimensionalization. {For the wavenumbers smaller than that of forcing, the energy in a horizontal plane is much more than that along the vertical rotation-axis.} {For} such wavenumbers, we find that the anisotropic energy spectrum, $E(k_{\perp },k_{\parallel })$ follows the power law scaling, $k_{\perp }^{-5/2}{k}_{\parallel }^{-1/2}$, where `$\perp$' and `$\parallel$' respectively refer to the directions perpendicular and parallel to the rotation axis; this result is in line with the Kuznetsov--Zakharov--Kolmgorov spectrum predicted by the weak inertial-wave turbulence theory for the rotating fluids.

arXiv comment11 pages, 7 figures, accepted in Physics of FLuids

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• Bridging Inertial and Dissipation Range Statistics in Rotating Turbulence
• Dynamic Scaling in Rotating Turbulence: A Shell Model Study
• Bursting of columnar structures in forced rotating turbulence