@Article{cmes.2004.006.441, AUTHOR = {Alfredo Nicolás, Blanca Bermúdez}, TITLE = {2D Incompressible Viscous Flows at Moderate and High Reynolds Numbers}, JOURNAL = {Computer Modeling in Engineering \& Sciences}, VOLUME = {6}, YEAR = {2004}, NUMBER = {5}, PAGES = {441--452}, URL = {http://www.techscience.com/CMES/v6n5/29706}, ISSN = {1526-1506}, ABSTRACT = {2D incompressible vicous flows from the unsteady Navier-Stokes equations in stream function-vorticity variables are presented. The results are obtained using a simple numerical procedure based on a fixed point iterative process to solve the nonlinear elliptic system that results once a second order time discretization is performed. Flows on the unregularized unit driven cavity are reported up to Reynolds numbers Re=5000 to compare them with those reported by other authors and supposed to be correct. Various long time computations are presented for Re=10000 to see its evolution as time-dependent flow. Moreover, results are reported for Re=10000, Re=15000 and Re=20000 to see how their flow looks like close from its departure t=0; with these kind of results transition to turbulence is observed as time or Reynolds number increases because of the increment of new small structures (subvortices or eddies).}, DOI = {10.3970/cmes.2004.006.441} }