Nonlinear generation of narrow-banded wave trains

Anatoliy Khait, Lev Shemer

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations


Analytic method for nonlinear wave generation by a wavemaker that is somewhat different from the nonlinear theory of Schäffer is proposed. The method that is based on the Nonlinear Schrödinger (NLS) equation and the nonlinear boundary condition at the wavemaker is free of 2nd order limitation inherent to the existing wavemaker theories. Advantages offered by the NLS model allowed simplification of the expressions for determination of the wavemaker driving signal and thus made them easily applicable in practice. The nonlinear correction to the wavemaker driving signal is calculated from the complex surface elevation envelope obtained as a solution of the NLS equation at the prescribed location in the wave flume. The domain of applicability of the generation method was determined on the basis of numerous experiments in the wave flume. A very good generation of the required wave train shape was obtained for sufficiently narrow-banded wave trains. Keywords: wavemaker theory, nonlinear water waves, nonlinear wave generation, Nonlinear Schrödinger equation, bound waves.

Original languageEnglish
Title of host publicationRodney Eatock Taylor Honoring Symposium on Marine and Offshore Hydrodynamics; Takeshi Kinoshita Honoring Symposium on Offshore Technology
PublisherAmerican Society of Mechanical Engineers (ASME)
ISBN (Electronic)9780791858882
StatePublished - 2019
EventASME 2019 38th International Conference on Ocean, Offshore and Arctic Engineering, OMAE 2019 - Glasgow, United Kingdom
Duration: 9 Jun 201914 Jun 2019

Publication series

NameProceedings of the International Conference on Offshore Mechanics and Arctic Engineering - OMAE


ConferenceASME 2019 38th International Conference on Ocean, Offshore and Arctic Engineering, OMAE 2019
Country/TerritoryUnited Kingdom


FundersFunder number
Israel Science Foundation306/15


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