Velocity-vorticity correlation and turbulent diffusivity in buoyancy driven fluid dynamics
Fluid Dynamics
2019-02-19 v2
Abstract
The velocity-vorticity correlation integral (Chkhetiani invariant) is an invariant of a viscous Karman-Howarth equation. In the tree-dimensional space this invariant can naturally determine a turbulent diffusivity (viscosity). It is shown, using results of direct numerical simulations, that distributed chaos dominated by this integral can provide an adequate description of the turbulent Rayleigh-B\'{e}nard convection, stably stratified turbulence and Rayleigh-Taylor mixing at Prandtl number .
Keywords
Cite
@article{arxiv.1902.04479,
title = {Velocity-vorticity correlation and turbulent diffusivity in buoyancy driven fluid dynamics},
author = {A. Bershadskii},
journal= {arXiv preprint arXiv:1902.04479},
year = {2019}
}