Numerical simulation of unsteady incompressible flow (Re <= 9500) on the curvilinear half-staggered mesh

In this paper, we continue our efforts toward numerical simulation of high Re (1000 less than or equal to Re less than or equal to 9500) unsteady inco mpressible flows with the finite difference method on the curvilinear half- staggered mesh. The finite difference scheme and the projection method for the numerical solution of the incompressible Navier Stokes equations in pri mitive variables was proposed and verified in [L. C. Huang, J. Comput. Math , to appear]. Here we derive the discrete Poisson equation on the curviline ar half-staggered mesh and discuss its properties. For unsteady complex flo w simulation, rapid solution of this equation is crucial; the multilevel on e-way dissection methods offer effective solutions. Numerical simulation of high Re flows around circular and aerofoil-shaped cylinders show our metho d to be efficient and robust.