Velocity-vorticity correlation and turbulent diffusivity in buoyancy driven fluid dynamics

2019/02/12 by A. Bershadskii, Bershadskii, A.
Earth and Planetary Sciences · Engineering · #Oceanographic and Atmospheric Processes #Fluid Dynamics and Turbulent Flows #Fluid Dynamics and Vibration Analysis

paper · pdf · doi:10.48550/arxiv.1902.04479

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-Bénard convection, stably stratified turbulence and Rayleigh-Taylor mixing at Prandtl number Pr ∼ 1.

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