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Secondary frequencies in the wake of a circular cylinder with vortex shedding

Published online by Cambridge University Press:  26 April 2006

Saul S. Abarbanel ,
Wai Sun Don ,
David Gottlieb ,
David H. Rudy  and
James C. Townsend
Saul S. Abarbanel
Affiliation:
Tel-Aviv University, Ramat-Aviv, Tel-Aviv, Israel
Wai Sun Don
Affiliation:
Brown University, Providence, RI 02912, USA
David Gottlieb
Affiliation:
Brown University, Providence, RI 02912, USA
David H. Rudy
Affiliation:
NASA Langley Research Center, Hampton, VA 23665, USA
James C. Townsend
Affiliation:
NASA Langley Research Center, Hampton, VA 23665, USA
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Abstract

A detailed numerical study of two-dimensional flow past a circular cylinder at moderately low Reynolds numbers has been conducted using three different numerical algorithms for solving the time-dependent compressible Navier–Stokes equations. It was found that if the algorithm and associated boundary conditions were consistent and stable, then the major features of the unsteady wake were well predicted. However, it was also found that even stable and consistent boundary conditions could introduce additional periodic phenomena reminiscent of the type seen in previous wind-tunnel experiments. However, these additional frequencies were eliminated by formulating the boundary conditions in terms of the characteristic variables. An analysis based on a simplified model provides an explanation for this behaviour.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 225 , April 1991 , pp. 557 - 574
Copyright
© 1991 Cambridge University Press

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