The non-local AFM water-wave method for cylindrical geometry

Blyth, Mark and Parau, Emilian (2019) The non-local AFM water-wave method for cylindrical geometry. SIAM Journal on Applied Mathematics (SIAP), 79 (3). pp. 743-753. ISSN 0036-1399

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Abstract

We develop an AFM (Ablowitz-Fokas-Musslimani) method applicable to studying water waves in a cylindrical geometry. As with the established AFM method for two-dimensional and three-dimensional water waves, the formulation involves only surface variables and is amenable to numerical computation. The method is developed for a general cylindrical surface, and we demonstrate its use for numerically computing fully nonlinear axisymmetric periodic and solitary waves on a ferrofluid column.

Item Type: Article
Faculty \ School: Faculty of Science > School of Mathematics
Depositing User: LivePure Connector
Date Deposited: 22 Feb 2019 11:30
Last Modified: 22 Apr 2020 07:31
URI: https://ueaeprints.uea.ac.uk/id/eprint/69990
DOI: 10.1137/18M120943X

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