On boundary conditions in lattice Boltzmann methods
Shiyi Chen(Los Alamos National Laboratory), Daniel Martínez(Los Alamos National Laboratory), Renwei Mei(University of Florida)
Cited by 491
Abstract
A lattice Boltzmann boundary condition for simulation of fluid flow using simple extrapolation is proposed. Numerical simulations, including two-dimensional Poiseuille flow, unsteady Couette flow, lid-driven square cavity flow, and flow over a column of cylinders for a range of Reynolds numbers, are carried out, showing that this scheme is of second order accuracy in space discretization. Applications of the method to other boundary conditions, including pressure condition and flux condition are discussed.