Numerical Simulation of Incompressible Viscous Flow Based on Adaptive Quadtree Mesh

In simulating the incompressible viscous flow, computational accuracy and computational cost are both important problem researchers have to face. The present study introduces a new adaptive numerical model based on the quadtree mesh technique, which can effectively maintain computational accuracy as well as relieve computational cost. The new numerical model adopts the two-step projection method to solve the incompressible viscous N-S equation, in which an unconditionally stable MacCormack numerical scheme with second-order accuracy is adopted to treat the advection term, a new explicit scheme is introduced to discretize the viscous term in the frame of quadtree mesh and a modified central difference scheme is employed to discretize the Poisson equation. Finally, the model is validated by a driven cavity flow example in terms of flow velocity and by an example of flow over a circular cylinder in terms of drag coefficient and lift coefficient.