A COUPLING FINITE-DIFFERENCE PARTICLE METHOD FOR THE RESOLUTION 2D NAVIER-STOKES EQUATIONS IN VELOCITY-VORTICITY FORM

A domain decomposition method which combines a vortex method and a fin ite difference method is presented to solve the Navier-Stokes equation s in velocity-vorticity form. The lagrangian vortex method is used in the flow region where convective effects are dominant whereas the fini te difference method using velocity-vorticity in this paper is used in the flow region where the convective effects may be dominant. Unstead y flow around an isolated N AC A 0012 is studied. The comparison betwe en numerical and experimental data show that the method is consistent for simulating two dimensional flows. Flow interaction between an airf oil and a circular cylinder has been analyzed showing the abilities of the method in multibodies flow simulation. The velocity-vorticity for mulation can be extended easily in three dimensional flow simulation.