Open Access

ARTICLE

Viscous Incompressible Flows by the Velocity-Vorticity Navier-Stokes Equations

by Alfredo Nicolás¹, Blanca Bermúdez²

1 Depto. Matemáticas, 3er. Piso Ed. Diego Bricio, UAM Iztapalapa, 09340 México D.F. México, e-mail: anc@xanum.uam.mx
2 Facultad de C. de la Computación, BUAP, Pue., México, e-mail: bbj@solarium.cs.buap.mx correspondence to: Alfredo Nicolás

Computer Modeling in Engineering & Sciences 2007, 20(2), 73-84. https://doi.org/10.3970/cmes.2007.020.073

Abstract

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 Re=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 Re = 1000, 4000, 5000, and 10000 to see how their flows look like close from its departure t = 0.

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