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2D Incompressible Viscous Flows at Moderate and High Reynolds Numbers

Alfredo Nicolás1, Blanca Bermúdez2

Depto.Matemáticas, 3er. Piso Ed.Diego Bricio, UAM-Iztapalapa, 09340 México D.F. México,
Facultad de C. de la Computación, BUAP, Pue., México, e-mail:

Computer Modeling in Engineering & Sciences 2004, 6(5), 441-452.


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).

Cite This Article

Nicolás, A., Bermúdez, B. (2004). 2D Incompressible Viscous Flows at Moderate and High Reynolds Numbers. CMES-Computer Modeling in Engineering & Sciences, 6(5), 441–452.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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