超越Navier-Stokes的流体动力学：格子玻尔兹曼层次的精确解
统计力学
2007-05-23 v1 计算物理
流体动力学
摘要
在非零克努森数下，找到了稳态平面库埃特流中非线性格子玻尔兹曼（LB）动力学方程层次的精确解。一种结合矩方法和群体边界条件的新方法，能够推导出所有高阶矩的闭式解。结果的收敛性表明，具有更大速度集的LB层次是逼近动力学理论的新途径。
引用
@article{arxiv.cond-mat/0703440,
title = {Hydrodynamics beyond Navier-Stokes: Exact solution to the lattice Boltzmann hierarchy},
author = {S. Ansumali and I. V. Karlin and S. Arcidiacono and A. Abbas and N. I. Prasianakis},
journal= {arXiv preprint arXiv:cond-mat/0703440},
year = {2007}
}
备注
12 pages, 4 figures, to appear in PRL. Published version is shortened to meet the page limit