ABSTRACT In this study, an efficient numerical model for predicting ship waves was developed using Green’s functions. Avoiding detailed description of the complex boundary conditions around a ship, this model simply used an inversion technique for estimating the wave source induced by a ship as a function of the navigation route and adjacent measured water level fluctuations. The Green’s functions were determined as linear summations of the water level fluctuations generated from discrete points along the navigation route. At each point, a time-varying wave source was determined as a linear summation of Gaussian pulses introduced at segments along the longitudinal direction of the ship. The linear inversion was then applied for estimating the optimum combinations of the magnitudes of these Gaussian pulses. Linear dispersive wave theory was applied to compute the water level fluctuations generated by a single Gaussian pulse so that the model can reproduce the dispersive characteristics of ship waves. The developed model was tested against experimental data and showed satisfactorily predictive skills of water level fluctuations for cases not used in the inversion. The present model was also found to be robust in that the estimated best-fitted wave source was not sensitive to changes in the conditions of the measured data used for the inversion.

中文翻译：

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基于线性色散波理论的使用格林函数的船舶波浪生成数值模拟

摘要 在这项研究中，使用格林函数开发了一种用于预测船舶波浪的有效数值模型。该模型避免了对船舶周围复杂边界条件的详细描述，仅使用反演技术来估计船舶引起的波浪源作为航行路线和相邻测量水位波动的函数。格林函数被确定为沿航路离散点产生的水位波动的线性总和。在每一点，一个时变波源被确定为沿船纵向在各段引入的高斯脉冲的线性总和。然后应用线性反演来估计这些高斯脉冲幅度的最佳组合。应用线性色散波理论计算单个高斯脉冲产生的水位波动，使模型能够再现船舶波浪的色散特性。开发的模型根据实验数据进行了测试，并显示了对未用于反演的情况的水位波动的令人满意的预测能力。还发现本模型是稳健的，因为估计的最佳拟合波源对用于反演的测量数据条件的变化不敏感。开发的模型根据实验数据进行了测试，并显示了对未用于反演的情况的水位波动的令人满意的预测能力。还发现本模型是稳健的，因为估计的最佳拟合波源对用于反演的测量数据条件的变化不敏感。开发的模型根据实验数据进行了测试，并显示了对未用于反演的情况的水位波动的令人满意的预测能力。还发现本模型是稳健的，因为估计的最佳拟合波源对用于反演的测量数据条件的变化不敏感。