Author(s): Xiaoyun Huang; Xuelian Jiang; Yanbao Li
Linked Author(s):
Keywords: Quadtree mesh; Incompressible viscous N-S equation; Driven cavity flow; Circular cylinder
Abstract: 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.
Year: 2013