Highly Nonlinear Interactions Between a Gravity Wave and a Current of Constant Vorticity

Hsien-Kuo Chang*, Liang Sheng Ho

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

The Fourier series method is employed to calculate particle velocity, wavelength and wave profile of a gravity wave propagating on a vertically varying linear shear current. From the comparisons between predicted values and experimental data, it is found that ' highly nonlinear interaction resulting from a shear current has significant effects on the wave field, and that the lower order wave theories give poor prediction.For waves of the same height and period, the shear current causes a change in wavelength and wave profile. An adverse shear current shortens wavelength; contrarily wavelength is enlarged by a favourable current. The wave crest is steepened and the trough becomes flat when the wave and favourable shear current are moving in the same direction. The wave surface profile becomes more asymmetrical about the mean water level when a favourable current exists.

Original languageEnglish
Pages (from-to)169-183
Number of pages15
JournalJournal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an
Volume18
Issue number2
DOIs
StatePublished - 1 Jan 1995

Keywords

  • Fourier series
  • Nonlinear interaction
  • Shear current

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