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Published April 1, 2006 | public
Journal Article Open

A 3D Numerical Method for Studying Vortex Formation Behind a Moving Plate

Abstract

In this paper, we introduce a three-dimensional numerical method for computing the wake behind a flat plate advancing perpendicular to the flow. Our numerical method is inspired by the panel method of J. Katz and A. Plotkin [J. Katz and A. Plotkin, Low-speed Aerodynamics, 2001] and the 2D vortex blob method of Krasny [R. Krasny, Lectures in Appl. Math., 28 (1991), pp. 385--402]. The accuracy of the method will be demonstrated by comparing the 3D computation at the center section of a very high aspect ratio plate with the corresponding two-dimensional computation. Furthermore, we compare the numerical results obtained by our 3D numerical method with the corresponding experimental results obtained recently by Ringuette [M. J. Ringuette, Ph.D. Thesis, 2004] in the towing tank. Our numerical results are shown to be in excellent agreement with the experimental results up to the so-called formation time.

Additional Information

© 2006 Global Science Press. Reprinted with permission. Received 30 September 2005; Accepted 16 October 2005. The research of the first author is partially supported by NSF ITR Grant No. ACI-0204932 and NSF FRG Grant No. DMS-0353838.

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August 22, 2023
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