On the ERG approach in $3 - d$ Well Developed Turbulence
High Energy Physics - Theory
2015-06-26 v2 chao-dyn
Chaotic Dynamics
Fluid Dynamics
Abstract
We apply the method of the Renormalization Group (GR), following the Polchinski point of view, to a model of well developed and isotropic fluid turbulence. The Galilei-invariance is preserved and a universal behavior, related to the change of the stochastic stirring force, is evident by the numerical results in the inertial region, where a scale-invariant behavior also appear. The expected power law of the energy spectrum () is obtained and the Kolmogorov constant agrees with experimental data.
Keywords
Cite
@article{arxiv.hep-th/9709185,
title = {On the ERG approach in $3 - d$ Well Developed Turbulence},
author = {Renzo Collina and Paolo Tomassini},
journal= {arXiv preprint arXiv:hep-th/9709185},
year = {2015}
}
Comments
25 pages LaTex2e file with 2 .eps figures. submitted to Phys. Rew. E