摘要翻译：
Navier-Stokes方程组是Ehrenfests在自由飞行动力学一段时间后在相空间中粗粒化的结果。这种观点为高雷诺数流体流动的模拟提供了一种非常灵活的方法。我们构造了格子Boltzmann计算模型的正则化子。这些正则子基于Ehrenfests的粗粒化思想，可以应用于具有熵准平衡和非熵准平衡的格式。我们给出了一个数值格式，对激波管和方柱绕流的标准试验情况给出了很好的结果。
---
英文标题：
《Stable simulation of fluid flow with high-Reynolds number using
  Ehrenfests' steps》
---
作者：
R. A. Brownlee, A. N. Gorban, J. Levesley
---
最新提交年份：
2007
---
分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
--

---
英文摘要：
  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.
---
PDF链接：
https://arxiv.org/pdf/705.4371