On two-dimensionalization of three-dimensional turbulence in shell models
arXiv:0803.2273 · doi:10.1140/epjb/e2010-00003-0
Abstract
Applying a modified version of the Gledzer-Ohkitani-Yamada (GOY) shell model, the signatures of so-called two-dimensionalization effect of three-dimensional incompressible, homogeneous, isotropic fully developed unforced turbulence have been studied and reproduced. Within the framework of shell models we have obtained the following results: (i) progressive steepening of the energy spectrum with increased strength of the rotation, and, (ii) depletion in the energy flux of the forward forward cascade, sometimes leading to an inverse cascade. The presence of extended self-similarity and self-similar PDFs for longitudinal velocity differences are also presented for the rotating 3D turbulence case.
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Cited by in corpus (10)
- Shell Models of Magnetohydrodynamic Turbulence
- A Shell Model for Buoyancy-Driven Turbulence
- On the energy spectrum of rapidly rotating forced turbulence
- Statistical features of rapidly rotating decaying turbulence: enstrophy and energy spectra, and coherent structures
- Inverse energy cascade in nonlocal helical shellmodels of turbulence
- Cascades and dissipation ratio in rotating MHD turbulence at low magnetic Prandtl number
- Bridging Inertial and Dissipation Range Statistics in Rotating Turbulence
- Fluctuating hydrodynamics and turbulence in a rotating fluid: Universal properties
- Dynamic Scaling in Rotating Turbulence: A Shell Model Study
- Two point third order correlation functions for quasi-geostrophic turbulence: Kolmogorov-Landau approach