In this paper, a newly developed numerical method that solves the VIScous Vorticity Equation (VISVE) to simulate the flow field is proposed. In this model, the numerical method models only a small fraction of the flow domain near the body where vorticity concentrates and dominates. The viscous results work as a correction on top of the inviscid results, which are calculated using the Boundary Element Method (BEM). As opposed to traditional Computational Fluid Dynamics (CFD) methods such as Reynolds Averaged Navier Stokes (RANS), in VISVE the far field boundary condition is described using Green's function and it gives us the flexibility to generate a spatially compact grid. This method is tested in case of a 2-D hydrofoil and a 3-D hydrofoil in both forward and backing conditions. The vorticity and velocity in the flow field is obtained and analyzed. The results from VISVE are compared with that form RANS. As a result, VISVE is proved to be quite reliable and efficient.

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