Multicomponent lattice Boltzmann model from continuum kinetic theory.
Multicomponent lattice Boltzmann model from continuum kinetic theory.
复制标题
DOI：
10.1103/physreve.81.045701
复制
发表时间：
2010-04
期刊：
影响因子：
--
通讯作者：
X. Shan
中科院分区：
文献类型：
--
作者：
X. Shan
本文从连续介质动力学理论出发，导出了一个考虑分子间相互作用的多组分格子Boltzmann模型。所得模型与以前从格子气元胞自动机[X]导出的模型一致。Shan和H. Chen，Phys.Rev.E47，1815（1993）]，但适用于更广泛的领域。从动力学理论的角度获得了一些重要的见解。首先，即使在等温情况下，能量均分原理也决定了平衡分布函数的形式。其次，热扩散的存在，并给出相应的扩散系数的宏观参数。第三，在理想气体极限下，普通扩散满足Maxwell-Stefan方程。
We derive from the continuum kinetic theory a multicomponent lattice Boltzmann model with intermolecular interaction. The resulting model is found to be consistent with the model previously derived from a lattice-gas cellular automaton [X. Shan and H. Chen, Phys. Rev. E 47, 1815 (1993)] but applies in a much broader domain. A number of important insights are gained from the kinetic theory perspective. First, it is shown that even in the isothermal case, the energy equipartition principle dictates the form of the equilibrium distribution function. Second, thermal diffusion is shown to exist and the corresponding diffusivities are given in terms of macroscopic parameters. Third, the ordinary diffusion is shown to satisfy the Maxwell-Stefan equation at the ideal-gas limit.