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arXiv 0705.4371cond-mat.stat-mech
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用Escherifests步稳定模拟高Reynolds number流体流动

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

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

摘要:

纳维-斯托克斯方程是在一段时间的自由飞行动力学过程后,由于Escherfests在相空间中的粗粒化而自然产生的。这种观点允许一个非常灵活的方法来模拟高雷诺数的流体流动。我们构造正则化格子玻尔兹曼计算模型。这些正则化器是基于Escherifests的粗粒化思想,可以应用于熵或非熵拟平衡的计划。我们给出了一个数值方案,它给出了良好的结果,为标准的测试情况下的激波管和流动通过一个方柱。

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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