@Article{cmes.2011.082.163, AUTHOR = {Alfredo Nicolás, Blanca Bermúdez}, TITLE = {2D Mixed Convection Viscous Incompressible Flows with Velocity-Vorticity Variables}, JOURNAL = {Computer Modeling in Engineering \& Sciences}, VOLUME = {82}, YEAR = {2011}, NUMBER = {3&4}, PAGES = {163--178}, URL = {http://www.techscience.com/CMES/v82n3&4/25776}, ISSN = {1526-1506}, ABSTRACT = {Mixed convection viscous incompressible fluid flows, under a gravitational system, in rectangular cavities are reported using the unsteady Boussinessq approximation in velocity-vorticity variables. The results are obtained using a 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. Results with different aspect ratios A up to Grashof numbers Gr = 100000 and Reynolds numbers Re = 1000 for the lid driven cavity problem are reported. The validation of the results is given through mesh size and time-step independence studies.}, DOI = {10.32604/cmes.2011.082.163} }