AN ADAPTIVELY REFINED QUADTREE GRID METHOD FOR INCOMPRESSIBLE FLOWS

An adaptively refined quadtree grid method for the numerical solution of the incompressible Navier-Stokes equations is presented. A pressure -based scheme with colocated primitive variables is used as the soluti on algorithm. A process of grid refinement and flow solution is repeat ed until a sufficiently resolved solution is obtained. The present met hod has been applied to a variety of test cases. The results show that an adaptively refined quadtree grid can yield a Better grid distribut ion over the flow, therefore yielding a more accurate solution as well as an improved convergence rate than a structured grid with a similar number of grid points.