Turbulence without pressure in d dimensions
High Energy Physics - Theory
2009-10-31 v2 Astrophysics
chao-dyn
Soft Condensed Matter
Chaotic Dynamics
Abstract
The randomly driven Navier-Stokes equation without pressure in d-dimensional space is considered as a model of strong turbulence in a compressible fluid. We derive a closed equation for the velocity-gradient probability density function. We find the asymptotics of this function for the case of the gradient velocity field (Burgers turbulence), and provide a numerical solution for the two-dimensional case. Application of these results to the velocity-difference probability density function is discussed.
Cite
@article{arxiv.hep-th/9805100,
title = {Turbulence without pressure in d dimensions},
author = {S. Boldyrev},
journal= {arXiv preprint arXiv:hep-th/9805100},
year = {2009}
}
Comments
latex, 5 pages, revised and enlarged