AN ADAPTIVELY REFINED QUADTREE GRID METHOD FOR INCOMPRESSIBLE FLOWS

An adoptively refined quadtree grid method for the numerical solution of the incompressible Navier-Stokes equations is presented. A pressure-based scheme with allocated primitive variables is used as the solution algorithm. A process of grid refinement and flow solution is repeated until a sufficiently resolved solution is obtained. The present method has been applied to a variety of test cases. The results show that an adoptively refined quadtree grid can yield a better grid distribution 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.