Abstract
A domain decomposition method which combines a vortex method and a finite difference method is presented to solve the Navier-Stokes equations in velocity-vorticity form. The lagrangian vortex method is used in the flow region where convective effects are dominant whereas the finite difference method using velocity-vorticity in this paper is used in the flow region where the convective effects may be dominant. Unsteady flow around an isolated NACA 0012 is studied. The comparison between numerical and experimental data show that the method is consistent for simulating two dimensional flows. Flow interaction between an airfoil and a circular cylinder has been analyzed showing the abilities of the method in multibodies flow simulation. The velocity-vorticity formulation can be extended easily in three dimensional flow simulation.
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