Stable simulation of fluid flow with high-Reynolds number using Ehrenfests' steps
Statistical Mechanics
2015-05-13 v1
Abstract
The Navier--Stokes equations arise naturally as a result of Ehrenfests' coarse-graining in phase space after a period of free-flight dynamics. This point of view allows for a very flexible approach to the simulation of fluid flow for high-Reynolds number. We construct regularisers for lattice Boltzmann computational models. These regularisers are based on Ehrenfests' coarse-graining idea and could be applied to schemes with either entropic or non-entropic quasiequilibria. We give a numerical scheme which gives good results for the standard test cases of the shock tube and the flow past a square cylinder.
Cite
@article{arxiv.0705.4371,
title = {Stable simulation of fluid flow with high-Reynolds number using Ehrenfests' steps},
author = {R. A. Brownlee and A. N. Gorban and J. Levesley},
journal= {arXiv preprint arXiv:0705.4371},
year = {2015}
}