Velocity-vorticity correlation and turbulent diffusivity in buoyancy driven fluid dynamics
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\'enard convection, stably stratified turbulence and Rayleigh-Taylor mixing at Prandtl number Pr 1.
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