Lattice Boltzmann model for incompressible flows through porous media

被引:623
作者
Guo, ZL [1 ]
Zhao, TS
机构
[1] Huazhong Univ Sci & Technol, Natl Lab Coal Combust, Wuhan 430074, Peoples R China
[2] Hong Kong Univ Sci & Technol, Dept Engn Mech, Hong Kong, Hong Kong, Peoples R China
来源
PHYSICAL REVIEW E | 2002年 / 66卷 / 03期
关键词
D O I
10.1103/PhysRevE.66.036304
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
In this paper a lattice Boltzmann model is proposed for isothermal incompressible flow in porous media. The key point is to include the porosity into the equilibrium distribution, and add a force term to the evolution equation to account for the linear and nonlinear drag forces of the medium (the Darcy's term and the Forcheimer's term). Through the Chapman-Enskog procedure, the generalized Navier-Stokes equations for incompressible flow in porous media are derived from the present lattice Boltzmann model. The generalized two-dimensional Poiseuille flow, Couette flow, and lid-driven cavity flow are simulated using the present model. It is found the numerical results agree well with the analytical and/or the finite-difference solutions.
引用
收藏
页码:1 / 036304
页数:9
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