Comparative study of lattice‐Boltzmann and finite volume methods for the simulation of laminar flow through a 4:1 planar contraction
Comparative study of lattice‐Boltzmann and finite volume methods for the simulation of laminar flow through a 4:1 planar contraction
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DOI：
10.1002/fld.788
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发表时间：
2004-11
影响因子：
1.8
通讯作者：
Yarub Al-Jahmany;G. Brenner;P. Brunn
中科院分区：
文献类型：
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作者：
Yarub Al-Jahmany;G. Brenner;P. Brunn
本文比较研究了在雷诺数为1，Re=1时，基于晶格玻尔兹曼方法（LBM）和经典有限体积方法（FVM）的牛顿流体的4∶1平面收缩层流的数值解。在本研究中，LBM的应力场直接由分布函数得到。基于FVM数据的应力计算使用具有有限差分的速度梯度的评估。在本研究中，LBM和FVM的应力场均以剪切应力和第一正应力差表示。研究了两种方法的横向和轴向速度分布、剪应力和第一法向应力差。结果表明，LBM计算的速度和应力与FVM计算结果非常吻合。版权所有©2004 John Wiley & Sons， Ltd
In the present paper, a comparative study of numerical solutions for Newtonian fluids based on the lattice‐Boltzmann method (LBM) and the classical finite volume method (FVM) is presented for the laminar flow through a 4:1 planar contraction at a Reynolds number of value one, Re=1. In this study, the stress field for LBM is directly obtained from the distribution function. The calculations of the stress based on the FVM‐data use the evaluations of velocity gradients with finite differences. The stress field for both LBM and FVM is expressed in the present study in terms of the shear stress and the first normal stress difference. The lateral and axial profiles of the velocity, the shear stress and the first normal stress difference for both methods are investigated. It is shown that the LBM results for the velocity and the stresses are in excellent agreement with the FVM results. Copyright © 2004 John Wiley & Sons, Ltd.