Commun. Comput. Phys., 1 (2006), pp. 207-228.


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

T. Y. Hou 1*, V. G. Stredie 1, T. Y. Wu 2

1 Department of Applied and Computational Mathematics, California Institute of Technology, Pasadena, CA 91125, USA.
2 Department of Mechanical Engineering, California Institute of Technology, Pasadena, CA 91125, USA.

Received 30 September 2005; Accepted 16 October 2005

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.


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Key words: Aerodynamics; vortex dynamics; potential flows.


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Correspondence to: T. Y. Hou , Department of Applied and Computational Mathematics, California Institute of Technology, Pasadena, CA 91125, USA. Email: hou@acm.caltech.edu
 

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