UCL Discovery
UCL home » Library Services » Electronic resources » UCL Discovery

Dynamic of steep two-dimensional gravity-capillary solitary waves

Milewski, P; Vanden-Broeck, J-M; Wang, Z; (2010) Dynamic of steep two-dimensional gravity-capillary solitary waves. Journal of Fluid Mechanics , 664 466 - 477. 10.1017/S0022112010004714. Green open access

[thumbnail of download4.pdf]
Preview
PDF
download4.pdf
Available under License : See the attached licence file.

Download (1MB)

Abstract

In this paper, the unsteady evolution of two-dimensional fully nonlinear free-surface gravity–capillary solitary waves is computed numerically in infinite depth. Gravity–capillary wavepacket-type solitary waves were found previously for the full Euler equations, bifurcating from the minimum of the linear dispersion relation. Small and moderate amplitude elevation solitary waves, which were known to be linearly unstable, are shown to evolve into stable depression solitary waves, together with a radiated wave field. Depression waves and certain large amplitude elevation waves were found to be robust to numerical perturbations. Two kinds of collisions are computed: head-on collisions whereby the waves are almost unchanged, and overtaking collisions which are either almost elastic if the wave amplitudes are both large or destroy the smaller wave in the case of a small amplitude wave overtaking a large one.

Type: Article
Title: Dynamic of steep two-dimensional gravity-capillary solitary waves
Open access status: An open access version is available from UCL Discovery
DOI: 10.1017/S0022112010004714
Publisher version: http://dx.doi.org/10.1017/S0022112010004714
Language: English
Additional information: © 2010 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/465929
Downloads since deposit
236Downloads
Download activity - last month
Download activity - last 12 months
Downloads by country - last 12 months

Archive Staff Only

View Item View Item