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Boundary element modeling of multidirectional random wave diffraction by multiple rectangular submarine pits

机译:多个矩形海底坑的多方向随机波衍射的边界元建模

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摘要

The diffraction of multidirectional random surface waves by one or more rectangular submarine pits is investigated theoretically. The present method is based on the principle of cumulative superposition of diffraction solutions for linear Airy wave theory obtained by a two-dimensional boundary integral equation in water of uniform depth. The constant segment mode has been utilized to obtain the velocity potentials on the interface of each pit, and a specified discrete form of the Mitsuyasu directional spectrum is used for the incident wave conditions. The results of the present model have been validated through the comparison with those obtained by previous works (kh < 1, long wave) for random wave diffraction by single or multiple pits. A further investigation for random wave diffraction has been also studied by considering short wave range kh > 1. In accordance with reasonable agreement from these comparisons, it is concluded that the present BEM numerical model may accurately be utilized to predict the wave field around multiple submarine pits or navigation channels in many practical applications.
机译:理论上研究了一个或多个矩形海底坑对多向随机表面波的衍射。本方法基于在均匀深度的水中通过二维边界积分方程获得的线性艾里波理论的衍射解的累积叠加原理。恒定分段模式已被用于获得每个凹坑界面上的速度势,并且将Mitsuyasu定向谱的指定离散形式用于入射波条件。通过与以前的工作(kh <1,长波)通过单个或多个凹坑进行随机波衍射的比较,已经验证了本模型的结果。通过考虑短波范围kh> 1,还对随机波衍射进行了进一步研究。根据这些比较的合理共识,得出的结论是,当前的BEM数值模型可以准确地用于预测多艘潜艇周围的波场。坑或导航通道在许多实际应用中。

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