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

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Blyth, Mark and Parau, Emilian ORCID: https://orcid.org/0000-0001-5134-2068 (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 Oct 2022 04:29
URI:	https://ueaeprints.uea.ac.uk/id/eprint/69990
DOI:	10.1137/18M120943X

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