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首页> 外文期刊>Applied Ocean Research >Analysis of the extreme wave elevation due to second-order diffraction around a vertical cylinder
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Analysis of the extreme wave elevation due to second-order diffraction around a vertical cylinder

机译：垂直汽缸周围二阶衍射引起的极端波升的分析

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摘要

Statistical analysis of nonlinear random waves is important in coastal and ocean engineering. One approach for modeling nonlinear waves is second-order random wave theory, which involves sum- and difference-frequency interactions between wave components. The probability distribution of the non-Gaussian surface elevation can be solved using a technique developed by Kac and Siegert [21]. The wave field can be significantly modified by wave diffraction due to a structure, and the nonlinear diffracted wave elevation can be of interest in certain applications, such as the airgap prediction for an offshore structure. This paper investigates the wave statistics due to second-order diffraction, motivated by the scarcity of prior research. The crossing rate approach is used to evaluate the extreme wave elevation over a specified duration. The application is a bottom-supported cylindrical structure, for which semi-analytical solutions for the second-order transfer functions are available. A new efficient statistical method is developed to allow the distribution of the diffracted wave elevation to be obtained exactly, accounting for the statistical dependency between the linear, sum-frequency and difference-frequency components. Moreover, refinements are proposed to improve the efficiency for computing the free surface integral. The case study yields insights into the problem. In particular, the second-order nonlinearity is found to significantly amplify the extreme wave elevation, especially in the upstream region; conversely, the extreme elevation at an oblique location downstream is attenuated due to sheltering effects. The statistical dependency between the linear and sum-frequency components is also shown to be important for the extreme wave statistics.
机译：非线性随机波的统计分析在沿海和海洋工程中很重要。用于建模非线性波的一种方法是二阶随机波理论，其涉及波组件之间的和频率相互作用。可以使用Kac和Siegert [21]开发的技术来解决非高斯表面高度的概率分布[21]。由于结构，波场可以通过波衍射显着修改，并且非线性衍射波高程可能对某些应用中的感兴趣，例如对海上结构的气隙预测。本文调查了由于二阶衍射导致的波统计，通过现有研究的稀缺而引起的。交叉速率方法用于在指定持续时间内评估极端波升。该应用是底部支持的圆柱结构，可提供用于二阶传输功能的半分析解决方案。开发了一种新的高效统计方法，以允许准确地获得衍射波升高的分布，占线，总和频率和差频分量之间的统计依赖性。此外，提出了改进以提高计算自由表面积分的效率。案例研究会导致问题的见解。特别地，发现二阶非线性显着放大极端波升，特别是在上游区域;相反，由于避难所效果，下游的倾斜位置处的极端高度。线性和和频率分量之间的统计依赖性也显示为极端波统计很重要。

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