Lattice Boltzmann model for the incompressible Navier-Stokes equation
Lattice Boltzmann model for the incompressible Navier-Stokes equation
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DOI：
10.1023/b:joss.0000015179.12689.e4
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发表时间：
1997-08-01
影响因子：
1.6
通讯作者：
Luo, LS
中科院分区：
文献类型：
--
作者：
He, XY;Luo, LS
本文开发了一种模拟不可压缩流动的格子玻尔兹曼（LB）模型。主要思想是由于现有 LB 模型中的密度波动，显式消除 o(M-2) 项，其中 M 是马赫数。在提出的不可压缩 LB 模型中，压力 p 而不是质量密度 p 是独立的动态变量。不可压缩纳维-斯托克斯方程是通过 Chapman-Enskog 过程从不可压缩 LB 模型导出的。提出了由压力梯度或入口处固定速度分布驱动的泊肃叶平面以及二维沃默斯利流的模拟数值结果。发现数值结果与理论非常吻合。
In this paper a lattice Boltzmann (LB) model to simulate incompressible flow is developed. The main idea is to explicitly eliminate the terms of o(M-2), where M is the Mach number, due to the density fluctuation in the existing LB models. In the proposed incompressible LB model, the pressure p instead of the mass density p is the independent dynamic variable. The incompressible Navier-Stokes equations are derived from the incompressible LB model via Chapman-Enskog procedure. Numerical results of simulations of the plane Poiseuille now driven either by pressure gradient or a Fixed velocity profile at entrance as well as of the 2D Womersley flow are presented. The numerical results are found to be in excellent agreement with theory.