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ISRN Mathematical Physics
Volume 2012 (2012), Article ID 630801, 16 pages
Research Article

Numerical Simulation of Viscous Flow over a Square Cylinder Using Lattice Boltzmann Method

1Department of Aeronautical Engineering, Noorul Islam Centre for Higher Education, Noorul Islam University, Kanyakumari 629180, India
2Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati 781039, India

Received 6 April 2012; Accepted 9 July 2012

Academic Editors: A. Sanyal and F. Sugino

Copyright © 2012 D. Arumuga Perumal et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This work is concerned with the lattice Boltzmann computation of two-dimensional incompressible viscous flow past a square cylinder confined in a channel. It is known that the nature of the flow past cylindrical obstacles is very complex. In the present work, computations are carried out both for steady and unsteady flows using lattice Boltzmann method. Effects of Reynolds number, blockage ratio, and channel length are studied in detail. As good care has been taken to include appropriate measures in the computational method, these results enjoy good credibility. To sum up, the present study reveals many interesting features of square cylinder problem and demonstrates the capability of the lattice Boltzmann method to capture these features.