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

Beitrag in einer Fachzeitschrift
(Originalarbeit)


Details zur Publikation

Autor(en): Bänsch E
Zeitschrift: Computer Methods in Applied Mechanics and Engineering
Verlag: Elsevier
Jahr der Veröffentlichung: 2014
Band: 279
Seitenbereich: 198-211
ISSN: 0045-7825


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 View the MathML sourceũn+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.



FAU-Autoren / FAU-Herausgeber

Bänsch, Eberhard Prof. Dr.
Lehrstuhl für Angewandte Mathematik


Zitierweisen

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://dx.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.

BibTeX: 

Zuletzt aktualisiert 2018-17-10 um 12:20