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On satisfying the radiation condition in free surface flows

Binder, BJ; Vanden-Broeck, J-M; Dias, F; (2009) On satisfying the radiation condition in free surface flows. Journal of Fluid Mechanics , 624 179 - 189. 10.1017/S0022112008005028. Green open access

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Abstract

Binder & Vanden-Broeck (2005) showed there are no subcritical or critical solutions satisfying the radiation condition for steady flows past a flat plate. By using a weakly nonlinear analysis, it is shown that such flows exist for a curved plate. Fully nonlinear solutions are computed by a boundary integral equation method, and new nonlinear solutions for supercritical and generalized critical flows past a curved plate are presented.

Type: Article
Title: On satisfying the radiation condition in free surface flows
Open access status: An open access version is available from UCL Discovery
DOI: 10.1017/S0022112008005028
Publisher version: http://dx.doi.org/10.1017/S0022112008005028
Language: English
Additional information: © 2009 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/170820
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