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Finite-amplitude interfacial waves in the presence of a current

Published online by Cambridge University Press:  20 April 2006

Philip G. Saffman  and
Henry C. Yuen
Philip G. Saffman
Affiliation:
Applied Mathematies. California Institute of Technology, Pasadena. California 91125
Henry C. Yuen
Affiliation:
Applied Mathematies. California Institute of Technology, Pasadena. California 91125 Present address: Fluid Mechanics Department, TRW Space and Technology Group One Space Park, Redondo Beach, CA 90278.
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Abstract

Solutions for interfacial waves of permanent form in the presence of a current wcre obtained for small-to-moderate wave amplitudes. A weakly nonlinear approximation was used to give simplc analytical solutions to second order in wave height. Numerical methods were usctl to obtain solutions for larger wave amplitudes, details are reported for a number of sclccted cases. A special class of finite-amplitude solutions, closely related to the well-known Stokes surface waves, were identified. Factors limiting the existencc of steady solutions are examined.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 123 , October 1982 , pp. 459 - 476
Copyright
© 1982 Cambridge University Press

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