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Nonlinear three-dimensional gravity-capillary solitary waves

Parau, E; Vanden-Broeck, J-M; Cooker, MJ; (2005) Nonlinear three-dimensional gravity-capillary solitary waves. Journal of Fluid Mechanics , 536 99 - 105. 10.1017/S0022112005005136. Green open access

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Abstract

Steady three-dimensional fully nonlinear gravity–capillary solitary waves are calculated numerically in infinite depth. These waves have decaying oscillations in the direction of propagation and monotone decay perpendicular to the direction of propagation. They travel at a velocity U smaller than the minimum velocity cmin of linear gravity–capillary waves. It is shown that the structure of the solutions in three dimensions is similar to that found by Vanden-Broeck & Dias (J. Fluid Mech. vol. 240, 1992, pp. 549–557) for the corresponding two-dimensional problem.

Type: Article
Title: Nonlinear three-dimensional gravity-capillary solitary waves
Open access status: An open access version is available from UCL Discovery
DOI: 10.1017/S0022112005005136
Publisher version: http://dx.doi.org/10.1017/S0022112005005136
Language: English
Additional information: © 2005 Cambridge University Press
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.ucl.ac.uk/id/eprint/170813
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