The Surface Evolver and the stability of liquid surfaces

Abstract

Restricted accessMoreSectionsView PDF ToolsAdd to favoritesDownload CitationsTrack Citations ShareShare onFacebookTwitterLinked InRedditEmail Cite this article Brakke Kenneth A. 1996The Surface Evolver and the stability of liquid surfacesPhil. Trans. R. Soc. A.3542143–2157http://doi.org/10.1098/rsta.1996.0095SectionRestricted accessArticleThe Surface Evolver and the stability of liquid surfaces Kenneth A. Brakke Google Scholar Find this author on PubMed Search for more papers by this author Kenneth A. Brakke Google Scholar Find this author on PubMed Search for more papers by this author Published:16 September 1996https://doi.org/10.1098/rsta.1996.0095AbstractThe Surface Evolver is an interactive program for studying the shapes of liquid surfaces. Recently added features permit the calculation of the Hessian matrix of second derivatives of the energy. The Hessian can be used for fast convergence to an equilibrium, and eigenvalue analysis of the stability of that equilibrium. This paper describes the use of the Hessian by the Surface Evolver, presents some sample stability analyses, and gives some numerical results on the accuracy and convergence of the methods. It is also shown how one can evolve unstable surfaces.FootnotesThis text was harvested from a scanned image of the original document using optical character recognition (OCR) software. As such, it may contain errors. Please contact the Royal Society if you find an error you would like to see corrected. Mathematical notations produced through Infty OCR. 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This Issue16 September 1996Volume 354Issue 1715 Article InformationDOI:https://doi.org/10.1098/rsta.1996.0095Published by:Royal SocietyPrint ISSN:1364-503XOnline ISSN:1471-2962History: Published online01/01/1997Published in print16/09/1996 License:Scanned images copyright © 2017, Royal Society Citations and impact