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Numerical Calculation of Three-Dimensional Interfacial Potential Flows Using the Point Vortex Method

Haroldsen, David J. and Meiron, Daniel I. (1998) Numerical Calculation of Three-Dimensional Interfacial Potential Flows Using the Point Vortex Method. SIAM Journal on Scientific Computing, 20 (2). pp. 648-683. ISSN 1064-8275. http://resolver.caltech.edu/CaltechAUTHORS:HARsiamjc98

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Abstract

An application of the point vortex method to the singular Biot--Savart integrals used in water wave calculations is presented. The error for this approximation is shown to be a series in odd powers of h. A method for calculating the coefficients in the series is presented.


Item Type:Article
Additional Information:©1998 Society for Industrial and Applied Mathematics. Received by the editors April 15, 1996; accepted for publication (in revised form) April 7, 1997; published electronically September 10, 1998. This work was supported by NSF grant DMS-9407050. The work of this author [D.J.H.] was supported in part by a National Science Foundation fellowship. The authors thank Tom Hou, John Lowengrub, and Mike Shelley for valuable discussion and suggestions
Subject Keywords:point vortex method; vortex sheet; interfacial potential flows
Record Number:CaltechAUTHORS:HARsiamjc98
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:HARsiamjc98
Alternative URL:http://dx.doi.org/10.1137/S1064827596302060
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:9079
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:25 Oct 2007
Last Modified:26 Dec 2012 09:45

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