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2D Mixed Convection Viscous Incompressible Flows with Velocity-Vorticity Variables

Alfredo Nicolás1, Blanca Bermúdez2

Depto. Matemáticas, UAM-I; 09340 México D:F:, México. E-mail:
F. C.C.,Benemérita Universidad Autónoma de Puebla; Puebla, Pue., México. E-mail:

Computer Modeling in Engineering & Sciences 2011, 82(3&4), 163-178.


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.


Cite This Article

Nicolás, A., Bermúdez, B. (2011). 2D Mixed Convection Viscous Incompressible Flows with Velocity-Vorticity Variables. CMES-Computer Modeling in Engineering & Sciences, 82(3&4), 163–178.

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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