New relations for correlation functions in Navier-Stokes turbulence

Details New relations for correlation functions in Navier-Stokes turbulence New relations for correlation functions in Navier-Stokes turbulence

2009-09-18

arxiv.org/abs/0909.3404v2

J.Fluid Mech.644:465-472,2010

Nonlinear Sciences

Chaotic Dynamics

11 pages

Scientific paper

10.1017/S0022112009993429

We consider the steady-state statistics of turbulence sustained by a
large-scale force. The Kolmogorov flux relation (4/5-law) is shown to be a
particular case of the general relation on the current-density correlation
function. Using that, we derive an analog of the flux relation for compressible
turbulence and a new exact relation for incompressible turbulence.

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