Doak, A;
Vanden-Broeck, J-M;
(2017)
Solitary gravity waves and free surface flows past a point vortex.
IMA Journal of Applied Mathematics
, 82
(4)
pp. 821-835.
10.1093/imamat/hxx015.
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Abstract
Nonlinear free surface flows past a disturbance in a channel of finite depth are considered. The fluid is assumed to be incompressible and inviscid and the flow to be two-dimensional, irrotational and supercritical. The disturbance is chosen to be a point vortex. Highly accurate numerical solutions are computed. The basic idea of the numerical approach is first to develop codes to compute solitary waves and then to introduce appropriate modifications to model the point vortex. Previous results are recovered and new solutions are presented.
| Type: | Article |
|---|---|
| Title: | Solitary gravity waves and free surface flows past a point vortex |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1093/imamat/hxx015 |
| Publisher version: | https://doi.org/10.1093/imamat/hxx015 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Solitary waves, free surface flows, point vortex |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/1565278 |
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