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arXiv · 0705.4371

Stable simulation of fluid flow with high-Reynolds number using Ehrenfests' steps

R. A. Brownlee·A. N. Gorban·J. Levesley
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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.

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R. A. Brownlee, A. N. Gorban, J. Levesley. 2007-05-30. Stable simulation of fluid flow with high-Reynolds number using Ehrenfests' steps. https://doi.org/10.1007/s11075-007-9087-1

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