A Finite Difference Galerkin Formulation for the Incompressible
                       Navier-Stokes Equations


   A.B. Stephens, J.B. Bell, J.M. Solomon, and L.B. Hackerman



     The development of a new computational method for solving the 
incompressible Navier-Stokes equations in primitive variable form is
presented. It is found that certain finite difference approximations for
these equations can be transformed into an equivalent system which efficiently
determines the discrete velocity field and which completely eliminates the
pressure. Two such difference schemes for two dimensional problems are
examined and some preliminary numerical results are discussed for the steady
driven cavity problem.