Natural convection/isothermal viscous incompressible flows by the velocity-vorticity formulation

Abstract

2D natural convection/isothermal viscous incompressible fluid flows are presented from the unsteady Boussinessq approximation and the Navier-Stokes equations in its velocity-vorticity for- mulation. These flows are obtained with a simple numerical method based on a fixed point iterative process to solve the nonlinear elliptic system that results once a time discretization is performed.Paper presented at the 6th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, South Africa, 30 June - 2 July, 2008.