TY - GEN
T1 - Nonlinear generation of narrow-banded wave trains
AU - Khait, Anatoliy
AU - Shemer, Lev
N1 - Publisher Copyright:
© 2019 ASME.
PY - 2019
Y1 - 2019
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/85075843259
U2 - 10.1115/OMAE2019-95364
DO - 10.1115/OMAE2019-95364
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AN - SCOPUS:85075843259
T3 - Proceedings of the International Conference on Offshore Mechanics and Arctic Engineering - OMAE
BT - Rodney Eatock Taylor Honoring Symposium on Marine and Offshore Hydrodynamics; Takeshi Kinoshita Honoring Symposium on Offshore Technology
PB - The American Society of Mechanical Engineers(ASME)
T2 - ASME 2019 38th International Conference on Ocean, Offshore and Arctic Engineering, OMAE 2019
Y2 - 9 June 2019 through 14 June 2019
ER -