A finite element scheme for two dimensional incompressible viscous flows in primitive variables is proposed in this paper. An upwind factor finite element method is devised to solve the momentum equations, and the continuity equation is satisfied by the correction of the pressure field.
Numerical experiments are carried out for a driven cavity and a diffuser. The Renolds Number for the cavity flow is 100.0, and for the diffuser is 50000.0. The numerical result of the scheme for the cavity flow is compared with that by another numerical method and satistactory agreement is found.