Towards a self-consistent Boltzmann's kinetic model of fluid turbulence
Computational Physics
2020-04-29 v1 Fluid Dynamics
Abstract
A closure for the effective relaxation time of the Boltzmann-BGK kinetic equation for fluid turbulence is presented, based on a double-averaging procedure over both kinetic and turbulent fluctuations. The resulting effective relaxation time appears to agree with values obtained via a renormalization group treatment of the Navier-Stokes equation only at low values of , the ratio of turbulent kinetic energy to fluid temperature. For the kinetic treatment delivers a significantly longer effective relaxation time.
Cite
@article{arxiv.2004.13402,
title = {Towards a self-consistent Boltzmann's kinetic model of fluid turbulence},
author = {Sauro Succi},
journal= {arXiv preprint arXiv:2004.13402},
year = {2020}
}
Comments
7 pages, 2 figures