Split energy cascade in turbulent thin fluid layers
Fluid Dynamics
2017-08-11 v1
Abstract
We discuss the phenomenology of the split energy cascade in a three-dimensional thin fluid layer by mean of high resolution numerical simulations of the Navier-Stokes equations. We observe the presence of both an inverse energy cascade at large scales, as predicted for two-dimensional turbu- lence, and of a direct energy cascade at small scales, as in three-dimensional turbulence. The inverse energy cascade is associated with a direct cascade of enstrophy in the intermediate range of scales. Notably, we find that the inverse cascade of energy in this system is not a pure 2D phenomenon, as the coupling with the 3D velocity field is necessary to guarantee the constancy of fluxes.
Cite
@article{arxiv.1708.03114,
title = {Split energy cascade in turbulent thin fluid layers},
author = {Stefano Musacchio and Guido Boffetta},
journal= {arXiv preprint arXiv:1708.03114},
year = {2017}
}