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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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.
|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|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Archive Administrator|
|Deposited On:||25 Oct 2007|
|Last Modified:||26 Dec 2012 09:45|
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