ABSTRACT
It is well known that there exist many approaches to the formulation of incompressible viscous fluid flow problems. Wu and his co-workers (Wu and Thompson, 1973; Wu and Wahbah, 1976; Wu, 1982) derived the integral representation of the problems through an approach (named the integro-differential method) which used the velocity and vorticity as field variables. Also, Skerget et al. (1984, 1985) solved several examples by using the vorticity-velocity formulation. Onishi et a/. (1984) proposed a boundary solution procedure based on the stream function and vorticity approach for a two-dimensional problem. This approach is well known as the vorticity method, which is not generally applicable to three-dimensional problems. Kakuda and Tosaka (1984) proposed the boundary element method by reformulating the unsteady Navier-Stokes equations in terms of only the velocity components, making use of the penalty function method which has been successfully applied to the finite element flow analysis. The effectiveness of this procedure was illustrated through several numerical examples.
