Master of Science
Department of Mathematics
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
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.