TY  - EJOU
AU  - Nicolás, Alfredo  
AU  - Bermúdez, Blanca  

TI  - Viscous Incompressible Flows by the Velocity-Vorticity Navier-Stokes Equations
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2007
VL  - 20
IS  - 2
SN  - 1526-1506

AB  - 2D viscous incompressible flows are presented from the unsteady Navier-Stokes equations in its velocity-vorticity formulation. 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 un-regularized unit driven cavity problem are reported up to Reynolds numbers <i>Re</i>=4000 to compare them with those reported by other authors, mainly solving the steady problem, and supposed to be correct. Moreover, results are reported for <i>Re</i> = 1000, 4000, 5000, and 10000 to see how their flows look like close from its departure <i>t</i> = 0.
KW  - 

DO  - 10.3970/cmes.2007.020.073