Nonlinear Generation of Narrow-Banded Wave Trains

Volume 9: Rodney Eatock Taylor Honoring Symposium on Marine and Offshore Hydrodynamics; Takeshi Kinoshita Honoring Symposium on Offshore Technology Pub Date : 2019-11-11 DOI:10.1115/omae2019-95364

A. Khait, L. Shemer

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引用次数: 1

Abstract

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.

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窄带波列的非线性产生

提出了一种不同于Schäffer非线性理论的造波器产生非线性波的解析方法。该方法基于非线性Schrödinger (NLS)方程和波源处的非线性边界条件，不受现有波源理论固有的二阶限制。NLS模型的优点是简化了确定造波器驱动信号的表达式，从而使其易于应用于实际。通过求解NLS方程得到的复杂表面高程包络线，对波浪水槽内指定位置的造波器驱动信号进行非线性校正。在波浪水槽大量试验的基础上，确定了生成方法的适用范围。对于足够窄的带状波列，可以很好地生成所需的波列形状。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Volume 9: Rodney Eatock Taylor Honoring Symposium on Marine and Offshore Hydrodynamics; Takeshi Kinoshita Honoring Symposium on Offshore Technology

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