Comparative Study of Boundary Conditions in LBM for Incompressible Laminar Flow

In this paper, we conduct a comparative study amongst different boundary conditions with two dimensional single-relaxation time lattice Boltzmann method (SRT-LBM), for incompressible laminar flow. Three types of boundary condition are considered for the simulation: including full-way bounce-back, half-way bounce-back, and modified bounce-back for the implementation of no-slip boundary condition on the wall with, pressure (density) boundary condition proposed by Zuo and He (Phys Fluids 9(6):1591–1598, 1997 [1]) for inlet/oulet. The benchmark fluid flow problem of steady plane Poiseuille’s flow with Reynolds number, Re = 75 is choosen. The numerical simulations are validated with the analytical solution, and grid convergence test are performed to compare accuracy of different boundary conditions.