دانلود رایگان مقاله طرح اصلاح فشار المان محدود برای معادلات ناویه استوکس با شرط مرزی کشش

Abstract

We consider the popular pressure correction scheme for the solution of the time dependent Navier–Stokes equations with traction boundary condition. A finite element based method to improve the performance of the classical approach is proposed. The improvement is achieved by modifying the traction boundary condition for the provisional velocity u˜ n+1 in each time step. The corresponding term consists of a simple boundary functional involving the normal derivative of the pressure correction that 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.

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.