Year
1986
Degree Name
Master of Science
Department
Department of Mathematics
Recommended Citation
Tatam, Mark Gregory, Numerical methods for the Navier-Stokes equations with reference to the driven cavity problem, Master of Science thesis, Department of Mathematics, University of Wollongong, 1986. https://ro.uow.edu.au/theses/2655
Abstract
A number of formulations for the solution of the Navier-Stokes equations are given with reference to steady state incompressible flow. The driven cavity problem is used as a numerical test case for the methods examined. A number of finite difference and finite element schemes have been used to reduce the problem to a form suitable for numerical computation. Convergence of the iterative procedures for the solution of the non-linear systems of equations is often difficult, frequently requiring very fine meshes and accurate starting points for the iterative techniques used.
Unless otherwise indicated, the views expressed in this thesis are those of the author and do not necessarily represent the views of the University of Wollongong.