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.
| Original language | English |
|---|---|
| Pages (from-to) | 743-753 |
| Number of pages | 11 |
| Journal | SIAM Journal on Applied Mathematics (SIAP) |
| Volume | 79 |
| Issue number | 3 |
| Early online date | 9 May 2019 |
| DOIs | |
| Publication status | Published - 2019 |
Profiles
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Mark Blyth
- School of Engineering, Mathematics and Physics - Professor of Applied Mathematics
- Fluid and Solid Mechanics - Member
Person: Research Group Member, Academic, Teaching & Research
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Emilian Parau
- School of Engineering, Mathematics and Physics - Professor of Applied Mathematics
- Fluid and Solid Mechanics - Member
Person: Research Group Member, Academic, Teaching & Research