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首页> 外文期刊>Ocean Engineering >A three-dimensional modeling of multidirectional random wave diffraction by rectangular submarine pits
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A three-dimensional modeling of multidirectional random wave diffraction by rectangular submarine pits

机译：矩形海底坑多方向随机波衍射的三维建模

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摘要

A three-dimensional modeling of multidirectional random-wave diffraction by a group of rectangular submarine pits is presented in this paper. The fluid domain is divided into N interior regions representing the pit area and an overall exterior region separated by the imaginary pit boundaries. In the interior region, the analytical expressions of the Fourier series expansion for velocity potentials in the pit regions have been derived with the unknown coefficients determined from a series of Green's function based boundary integral equations. The boundary integral approach has also been applied to obtain the velocity potential and free-surface elevation in the exterior region. The Pierson-Moskowitz (P-M) frequency spectrum was selected for the random wave simulation using the superposition of solutions of a finite number of decomposed wave components. Numerical results for the cases of regular waves and random waves are presented to examine the influences of the pit geometry and incident wave condition on the overall wave field. The general diffraction pattern of alternate bands of increase and decrease of relative wave height in front of the pit system can be observed. It is found that, in the shadow region, the relative wave height is reduced. As the number of pit increases, the effectiveness of reducing the relative wave height behind the multiple-pit system increases. However, the relative wave height within the pit area and in front of the leading pit shows increasing trend. It is noticed that under the random-wave condition, the level of increase and decrease of the relative wave height due to the existence of submarine pits is less pronounced than that observed from results in regular-wave condition.
机译：本文提出了一组矩形海底坑的多方向随机波衍射的三维模型。流体域被划分为代表凹坑区域的N个内部区域和被虚构凹坑边界分隔的整个外部区域。在内部区域，利用由一系列基于格林函数的边界积分方程确定的未知系数，得出了凹坑区域中速度势的傅里叶级数展开式的解析表达式。边界积分法也已经被用于获得外部区域的速度势和自由表面高度。使用有限数量的分解波分量的解的叠加，选择Pierson-Moskowitz（P-M）频谱进行随机波仿真。给出了规则波和随机波情况下的数值结果，以检验凹坑几何形状和入射波条件对整个波场的影响。可以观察到坑系统前相对波高的增加和减少的交替带的一般衍射图。发现在阴影区域中，相对波高减小。随着凹坑数量的增加，减小多凹坑系统后面的相对波高的有效性也增加了。但是，凹坑区域内和前凹坑前面的相对波高呈上升趋势。注意到在随机波条件下，由于存在海底凹坑而引起的相对波高的增加和减小的程度不如在常规波情况下所观察到的明显。

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