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

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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.

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Original languageEnglish
Pages (from-to)743-753
JournalSIAM Journal on Applied Mathematics (SIAP)
Volume79
Issue number3
Early online date9 May 2019
DOIs
Publication statusPublished - 2019
Peer-reviewedYes

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