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Calculation of steady three-dimensional deep-water waves

Published online by Cambridge University Press:  20 April 2006

Daniel I. Meiron
Applied Mathematics. California Institute of Technology, Pasadena. California 91125
Philip G. Saffman
Applied Mathematics. California Institute of Technology, Pasadena. California 91125
Henry C. Yuen
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.


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.

Research Article
© 1982 Cambridge University Press

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