The taylor vortex and the driven cavity problems by the velocity-vorticity formulation

Abstract

Paper presented at the 7th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Turkey, 19-21 July, 2010.

2D isothermal viscous incompressible fluid flows are presented from the Navier-Stokes equations in velocity-vorticity variables. The flows are obtained with a simple numerical method based on a fixed point iterative process to solve the nonlinear elliptic system that results after time discretization; the iterative process leads to the solution of uncoupled, well­-conditioned, symmetric linear elliptic problems for which efficient solvers exist regardless of the space discretization. The numerical experiments are given for the Taylor vortex and the driven cavity problems.