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The Biharmonic Approach for Unsteady Flow Past an Impulsively Started Circular Cylinder

Published online by Cambridge University Press:  20 August 2015

Jiten C Kalita  and
Shuvam Sen
Jiten C Kalita*
Affiliation:
Department of Mathematics, Indian Institute of Technology Guwahati, PIN 781039, India
Shuvam Sen*
Affiliation:
Department of Mathematical Sciences, Tezpur University, PIN 784028, India
*
Corresponding author.Email:jiten@iitg.ernet.in
Email:shuvam@tezu.ernet.in
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Abstract

In this paper, a newly developed second order temporally and spatially accurate finite difference scheme for biharmonic semi linear equations has been employed in simulating the time evolution of viscous flows past an impulsively started circular cylinder for Reynolds number (Re) up to 9,500. The robustness of the scheme and the effectiveness of the formulation can be gauged by the fact that it very accurately captures complex flow structures such as the von Kármán vortex street through streakline simulation and the α and β-phenomena in the range 3,000≤Re≤9,500 among others. The main focus here is the application of the technique which enables the use of the discretized version of a single semi linear biharmonic equation in order to efficiently simulate different fluid structures associated with flows around a bluff body. We compare our results, both qualitatively and quantitatively, with established numerical and more so with experimental results. Excellent comparison is obtained in all the cases.

Keywords

35Q3065M0676D0576D25Biharmonicnon-rectangularN-S equationstransientcircular cylindervon Kármán vortex street
Type
Research Article
Information
Communications in Computational Physics , Volume 12 , Issue 4 , October 2012 , pp. 1163 - 1182
Copyright
Copyright © Global Science Press Limited 2012

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