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Calculation of steady three-dimensional deep-water waves

Published online by Cambridge University Press:  20 April 2006

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

Steady three-dimensional symmetric wave patterns for finite-amplitude gravity waves on deep water are calculated from the full unapproximated water-wave equations as well as from an approximate equation due to Zakharov. These solutions are obtained as bifurcations from plane Stokes waves. The results are in good agreement with the experimental observations of Su.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 124 , November 1982 , pp. 109 - 121
Copyright
© 1982 Cambridge University Press

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References

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