An Exact Renormalization Group analysis of 3-d Well Developed turbulence
chao-dyn
2016-08-31 v2 adap-org
Statistical Mechanics
High Energy Physics - Theory
Adaptation and Self-Organizing Systems
Chaotic Dynamics
Fluid Dynamics
Abstract
We take advantage of peculiar properties of three dimensional incompressible turbulence to introduce a nonstandard Exact Renormalization Group method. A Galilean invariance preserving regularizing procedure is utilized and a field truncation is adopted to test the method. Results are encouraging: the energy spectrum E(k) in the inertial range scales with exponent -1.666+/- 0.001 and the Kolmogorov constant C_K, computed for several (realistic) shapes of the stirring force correlator, agrees with experimental data.
Keywords
Cite
@article{arxiv.chao-dyn/9706013,
title = {An Exact Renormalization Group analysis of 3-d Well Developed turbulence},
author = {Paolo Tomassini},
journal= {arXiv preprint arXiv:chao-dyn/9706013},
year = {2016}
}
Comments
12 pg, 2figures, LaTex, To be published on Physics Letters B