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Two-Dimensional Incompressible Flows by Velocity-Vorticity Formulation and Finite Element Method

Published online by Cambridge University Press:  05 May 2011

Der-Chang Lo  and
Der-Liang Young
Der-Chang Lo*
Affiliation:
Department of Civil Engineering, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
Der-Liang Young*
Affiliation:
Hydrotech Research Institute, National Taiwan University, Taipei, Taiwan 10617, R.O.C.
*
* Professor
* Professor
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Abstract

In this study, the motion of incompressible viscous fluid in a two-dimensional domain is solved by the finite element method using the velocity-vorticity formulation. To demonstrate the model feasibility, first of all the steady Stokes flow in a square cavity are computed. The results of square cavity flow are comparable with the numerical solutions of Burggraff (1966, FDM) [1]. Then the unsteady Navier-Stokes flow are computed and compared with other models [1∼4]. The results reveal that finite element analysis is a very powerful approach in the realm of computational fluid mechanics.

Keywords

Velocity-vorticity formulationFinite element methodNavier-Stokes equations
Type
Articles
Information
Journal of Mechanics , Volume 17 , Issue 1 , March 2001 , pp. 13 - 20
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2001

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References

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