Symmetric finite-amplitude rotational water waves.

R. A. Dalrymple, J. C. Cox

Research output: Contribution to journalArticlepeer-review

14 Scopus citations


Two forms of a two-dimensional streamfunction solution for symmetric periodic water waves on a fluid with a vertical distribution of vorticity are presented. The magnitude of the vorticity varies linearly with the magnitude of the streamfunction while remaining constant on a particular streamline. The analysis utilizes a numerical perturbation technique, which converges rapidly to a wave of given height and period in water of a specfied depth with a given vorticity distribution. Computed results show the influence of the vorticity on the wavelength and crest elevation of the wave. (A)

Original languageEnglish (US)
Pages (from-to)847-852
Number of pages6
JournalJournal of Physical Oceanography
Issue number6 , Nov. 1976
StatePublished - 1976
Externally publishedYes

ASJC Scopus subject areas

  • Oceanography


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