Mixed convection over a backward-facing step in a vertical channel by the lattice boltzmann method

摘要

The lattice Boltzmann (LB) method is a kinetic theory-base method for solving transport problems.In this work,a coupled LB model is developed for solving buoyancy problems on non-uniform grids utilzing a Boussinesq approximation.This mehtod is applied to the problem of two-dimensional,laminar flow over a backward-facing step in a vertical channel with mixed convection.Comparisons of velocity profiles,skin friction,and local Nusselt number are made with published results from conventional methods for this benchmark problem.The accuracy of the LB method is quantified for mixed convection problems.