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On satisfying the radiation condition in free-surface flows

Published online by Cambridge University Press:  10 April 2009

B. J. BINDER ,
J.-M. VANDEN-BROECK  and
F. DIAS
B. J. BINDER
Affiliation:
School of Mathematical Sciences, University of Adelaide, Adelaide, South Australia, 5005, Australia
J.-M. VANDEN-BROECK*
Affiliation:
Department of Mathematics, University College London, London WC1E 6BT, UK
F. DIAS
Affiliation:
CMLA, ENS Cachan, CNRS, PRES UniverSud, 61 Av. President Wilson, F-94230 Cachan, France
*
†Email address for correspondence: broeck@math.ucl.ac.uk
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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
Papers
Information
Journal of Fluid Mechanics , Volume 624 , 10 April 2009 , pp. 179 - 189
Copyright
Copyright © Cambridge University Press 2009

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References

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