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Nonlinear three-dimensional interfacial flows with a free surface

Published online by Cambridge University Press:  30 October 2007

E. I. PĂRĂU ,
J.-M. VANDEN-BROECK  and
M. J. COOKER
E. I. PĂRĂU
Affiliation:
School of Mathematics, University of East Anglia, Norwich, NR4 7TJ, UK
J.-M. VANDEN-BROECK
Affiliation:
School of Mathematics, University of East Anglia, Norwich, NR4 7TJ, UK
M. J. COOKER
Affiliation:
School of Mathematics, University of East Anglia, Norwich, NR4 7TJ, UK
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Abstract

A configuration consisting of two superposed fluids bounded above by a free surface is considered. Steady three-dimensional potential solutions generated by a moving pressure distribution are computed. The pressure can be applied either on the interface or on the free surface. Solutions of the fully nonlinear equations are calculated by boundary-integral equation methods. The results generalize previous linear and weakly nonlinear results. Fully localized gravity–capillary interfacial solitary waves are also computed, when the free surface is replaced by a rigid lid.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 591 , 25 November 2007 , pp. 481 - 494
Copyright
Copyright © Cambridge University Press 2007

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