On pressure and velocity boundary conditions for the lattice Boltzmann BGK model
On pressure and velocity boundary conditions for the lattice Boltzmann BGK model
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DOI：
10.1063/1.869307
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发表时间：
1997-06-01
影响因子：
4.6
通讯作者：
He, XY
中科院分区：
文献类型：
--
作者：
Zou, QS;He, XY
针对二维和三维格子玻尔兹曼BGK模型（LBGK）研究了压力（密度）和速度边界条件，并提出了一种设定这些条件的新方法。这些条件是基于非平衡分布的反弹思想，与壁面边界条件一致构建的。当这些条件与不可压缩的LBGK模型[J. Stat. Phys. 81, 35 (1995)]一起使用时，模拟结果恢复了由压力（密度）差驱动的平面泊肃叶流的解析解。本文提出的压力（密度）入口/出口条件以及在Phys. Fluids 8, 2527 (1996)中提出的条件与半路壁面反弹边界条件一起被用于研究二维泊肃叶流和三维方形管道流。数值结果具有大约二阶精度。半路壁面反弹边界条件的误差大小与其他已发表的边界条件相当，并且具有更好的稳定性。(C) 1997美国物理学会
Pressure (density) and velocity boundary conditions are studied for 2-D and 3-D lattice Boltzmann BGK models (LBGK) and a new method to specify these conditions is proposed. These conditions are constructed in consistency with the wall boundary condition, based on the idea of bounceback of the non-equilibrium distribution. When these conditions are used together with the incompressible LBGK model [J. Stat. Phys. 81, 35 (1995)] the simulation results recover the analytical solution of the plane Poiseuille flow driven by a pressure (density) difference. The half-way wall bounceback boundary condition is also used with the pressure (density) inlet/outlet conditions proposed in this paper and in Phys. Fluids 8, 2527 (1996) to study 2-D Poiseuille flow and 3-D square duct flow. The numerical results are approximately second-order accurate. The magnitude of the error of the half-way wall bounceback boundary condition is comparable with that of other published boundary conditions and it has better stability behavior. (C) 1997 American institute of Physics.