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Third-order generation of narrow-banded wave trains by a wavemaker

机译：波浪制造商的三阶生成窄带波动列车

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Analytic method for nonlinear wave generation by a wavemaker that is free of 2nd order limitation inherent to existing wavemaker theories is proposed. The method is based on the Nonlinear Schrodinger (NLS) equation and the nonlinear boundary condition at the wavemaker. 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 2nd and the 3rd-order corrections to the wavemaker driving signal are 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 as well as numerical simulations using a fully-nonlinear Numerical Wave Tank (NWT). A very good generation of the required wave train shape was obtained for sufficiently narrow-banded spectra in both deep-water and intermediate depth conditions. The generation of the sheared current due to oscillatory wavemaker motion has been discussed.
机译：提出了一种Wavemaker的非线性波浪的分析方法，其无第二订单限制固有的现有波浪理论。该方法基于Wavemaker的非线性Schrodinger（NLS）方程和非线性边界条件。 NLS模型提供的优点允许简化用于确定波浪驱动信号的表达式，从而使其在实践中容易地适用。从作为在波浪管中的规定位置处的NLS方程的溶液获得的复合表面升降封套计算第二和3rd阶校正。基于Wave Flume中的许多实验以及使用全非线性数值波罐（NWT）的数值模拟来确定生成方法的适用范畴。在深水和中间深度条件下获得足够窄的带状光谱获得了非常好的所需波列的形状。已经讨论了由于振荡波浪运动引起的剪切电流的产生。

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