Finite element computations of pure-streamfunction equation of the Ladyzhenskaya equations for incompressible fluid

Authors:
Faisal A. Fairag
Affiliations:
Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Saudi Arabia
Venue:
MATH'05 Proceedings of the 8th WSEAS International Conference on Applied Mathematics
Year:
2005

Citing 5
Cited 0

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Abstract

In this paper we consider a pure-streamfunction equation of Ladyzhenskaya equations. For certain values of the parameters of the equation, the studied equation becomes identical to the pure-streamfunction equation of the Navier-Stokes equations. A weak form, a finite element method approximation procedures and an iterative method for solving the discrete nonlinear problems are provided. Using the Bogner-Fox-Schmidt element, the steady 2-D incompressible flow in a driven cavity is solved using a grid mesh of 16X16. Streamfunction contours are also displayed showing the main features of the flow.