New relations for correlation functions in Navier-Stokes turbulence
Chaotic Dynamics
2011-03-28 v2 High Energy Physics - Theory
Abstract
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.
Keywords
Cite
@article{arxiv.0909.3404,
title = {New relations for correlation functions in Navier-Stokes turbulence},
author = {Gregory Falkovich and Itzhak Fouxon and Yaron Oz},
journal= {arXiv preprint arXiv:0909.3404},
year = {2011}
}
Comments
11 pages