Abstract This work presents results on the simulation of the generation and propagation of ship-borne waves, using an advanced nonlinear dispersive wave model based on the higher order Boussinesq-type equations. The model includes a single frequency dispersion term, expressed through convolution integrals; it is adapted to represent ship-borne waves by adopting the approach for wave generation by a moving local pressure disturbance, achieved through adding a respective pressure term in its governing equations. The model is tested against the analytical solution of Havelock (1908) for the calculation of the angles of ship wakes and the laboratory experiments of Gourlay (2001) of waves produced by a high-speed ship in a channel. Results compare well to data from both the aforementioned studies, confirming the model's capabilities and highlighting its accuracy in the representation of ship-borne waves; the model's applicability to practical coastal engineering applications is also investigated, through a set of numerical experiments of waves generated at sea and in a harbour.

中文翻译：

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使用 2DH post-Boussinesq 模型对船载波进行数值模拟

摘要 这项工作使用基于高阶 Boussinesq 型方程的先进非线性色散波模型，展示了船载波的产生和传播的模拟结果。该模型包括单个频率色散项，通过卷积积分表示；它通过采用移动局部压力扰动产生波浪的方法来表示船载波浪，通过在其控制方程中添加相应的压力项来实现。该模型根据 Havelock (1908) 的解析解进行了测试，以计算船舶尾流的角度以及 Gourlay (2001) 对高速船舶在通道中产生的波浪的实验室实验。结果与上述两项研究的数据进行了很好的比较，证实了该模型 s 能力并突出其在表示船载波浪方面的准确性；通过对海上和港口产生的波浪的一组数值实验，还研究了该模型在实际沿海工程应用中的适用性。