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

作者：Brownlee R; Gorban A N; Levesley J^*

来源：Numerical Algorithms, 2007, 45(1-4): 389-408.

DOI：10.1007/s11075-007-9087-1

• Navier-Stokes equations
• Ehrenfests' steps
• Numerical stabilisation

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.

• 出版日期2007-8