Comparison of Finite Difference and Finite Volume Method for Numerical Simulation of Driven Cavity Flow Based on MAC

摘要

In this paper, finite difference method and finite volume method are adopted to simulate the two-dimensional lid-driven cavity flow based on MAC with staggered mesh. Second-order central difference scheme is applied to discretize the convection and diffusion items respectively. Simulation results obtained are compared at different Reynolds number (100, 400, 1000) using grid points 20 -- 20, 40 -- 40, 80 -- 80. The overall result shows that MAC has high calculation precision to solve the problem of driven cavity flow.