5. Conclusion
In this paper pressure correction schemes for the computational solution of the time dependent (Navier)–Stokes equations with traction boundary condition have been considered. We have introduced a finite element based method to improve the performance of the classical approach, outlined for instance in [9].The improvement is accomplished by extrapolating the traction boundary condition in each time step. The corresponding term consists of a simple boundary functional involving the normal derivative of the pressure correction Φ and can be evaluated in a natural and easy way in the context of finite elements. Computational results show a significant improvement of the solution, in particular for the pressure in the case of smooth domains.
