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Published September 2003 | Published
Journal Article Open

Inverse-Imaging Method for Detection of a Vortex in a Channel

Abstract

A simple vortex-imaging algorithm using a least-square method is considered. The position and the circulation of a vortex convected in a channel are identified from the time history of pressure at a limited number of points on the wall. The capabilities of the algorithm are demonstrated using two-dimensional direct numerical simulations. A few observer points on one side of the wall are sufficient to detect the position and the circulation of a compact vortex to a reasonable degree of accuracy. An advanced algorithm can even detect two nearby vortices to the same degree of accuracy. Because the algorithm assumes a point vortex solution, the accuracy of the detection deteriorates as the vorticity distribution spreads.

Additional Information

© 2003 by Takao Suzuki and Tim Colonius. Published by the American Instituteof Aeronautics and Astronautics, Inc., with permission. Received 30 September 2002; revision received 3 March 2003; accepted for publication 25 April 2003. Published Online: 17 May 2012. This research was supported in part by the DARPA (Defense Advanced Research Projects Agency) program (Contract F49620-00-C-0035). We thank Richard Murray for an idea of the estimator-correctorand Kazuo Sone for generating several files.

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August 19, 2023
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