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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 (former - to 2024) |
| UEA Research Groups: | Faculty of Science > Research Groups > Fluid and Solid Mechanics (former - to 2024) Faculty of Science > Research Groups > Fluids & Structures |
| Depositing User: | LivePure Connector |
| Date Deposited: | 22 Feb 2019 11:30 |
| Last Modified: | 07 Nov 2024 12:40 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/69990 |
| DOI: | 10.1137/18M120943X |
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