Simulation of Steady Laminar Flow Within a Quarter-circular Cavity by Lattice Boltzmann Method

A numerical scheme based on lattice Boltzman method(LBM) is presented to deal with curved boundaries with second-order accuracy. The scheme is applied to steady laminar flow within a quarter-circular cavity with curved boundaries and proved to be relatively reliable, accurate and feasible. Streamlines and vorticity contours are obtained to analyse the variation of flow field with Reynolds number. The radian between verticity centre of clockwise flow and x-axis decreases with increase of Re from 10 to 100, while the radian between verticity centre of anticlockwise flow and the x-axis shows inverse tendency.