A finite element pressure correction scheme for the Navier-Stokes equations with traction boundary condition

Bänsch E (2014)

Publication Type: Journal article, Original article

Publication year: 2014

Journal

Computer Methods in Applied Mechanics and Engineering Elsevier

Publisher: Elsevier

Book Volume: 279

Pages Range: 198-211

DOI: 10.1016/j.cma.2014.06.030

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 ${\tilde{u}}^{n + 1}$ 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.

Authors with CRIS profile

Eberhard Bänsch Lehrstuhl für Angewandte Mathematik (Wissenschaftliches Rechnen)

How to cite

APA:

Bänsch, E. (2014). A finite element pressure correction scheme for the Navier-Stokes equations with traction boundary condition. Computer Methods in Applied Mechanics and Engineering, 279, 198-211. https://doi.org/10.1016/j.cma.2014.06.030

MLA:

Bänsch, Eberhard. "A finite element pressure correction scheme for the Navier-Stokes equations with traction boundary condition." Computer Methods in Applied Mechanics and Engineering 279 (2014): 198-211.

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