格子Boltzmann模型平衡分布边界条件和多棱柱排列渗流流场的数值模拟

Equilibrium distribution boundary condition in lattice Boltzmann model and numerical simulation of Darcy-Forcheimer drag for fluid flow across a square cylinder array

介绍了适用于多种流场数值模拟的无滑动格子Boltzmann平衡分布边界条件,这一边界条件是以Bounce-Back方法为基础并满足质量、动量守恒的准则.数值计算结果表明平衡分布边界条件克服了Bounce-Back方法在边界上所产生的滑动速度误差效应.利用平衡分布边界条件数值模拟了由棱柱形充填粒子构成的微尺度渗流流场中的Darcy-Forchheimer方程,通过与Lee和Yang的数值结果比较,该预测结果是足够可靠的.

This article presents a boundary condition for the equilibrium distribution suitable for a variety of non-slip flow Llattice Boltzmann simulations. The boundary condition is based on the Bounce-back method and satisfies mass and momentum conservation principles. The computational results show that the new boundary condition for the equilibrium distribution overcame the erroneous slip velocities resulted from the conventional bounce-back method. The porous flow field around prism-shaped particles which is governed by Darcy-Forcheimer formula is calculated and compared with Lee and Yang＇ s （1997） the predictions are found to be sufficiently reliable.