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Expansions for the shape of maximum amplitude Stokes waves

Published online by Cambridge University Press:  29 March 2006

A. C. Norman
A. C. Norman
Affiliation:
IBM Thomas J. Watson Research Center, Yorktown Heights, New York 10598 Present address: University Computer Laboratory, Cambridge.
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Abstract

Grant (1973) showed that the expansion giving the profile of a steady Stokes wave near a 120° corner was more complicated than had previously been assumed. This paper gives further terms in such an expansion, and shows that generating them cannot introduce transcendental quantities beyond those noted by Grant.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 66 , Issue 2 , 6 November 1974 , pp. 261 - 265
Copyright
© 1974 Cambridge University Press

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References

Grant, M. A. 1973 The singularity at the crest of a finite amplitude progressive Stokes wave J. Fluid Mech. 59, 257–62.Google Scholar
Griesmer, J. H. & Jenks, R. D. 1972 Experience with an on-line symbolic mathematics system Proc. ONLINE 72, vol. 1, pp. 457–476. Brunel University, Uxbridge, Middlesex, England.Google Scholar