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Probability distribution of random wave-current forces

机译：随机波浪力的概率分布

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摘要

Based on the second-order solutions obtained for the three-dimensional weakly nonlinear random waves propagating over a steady uniform current in finite water depth, the joint statistical distribution of the velocity and acceleration of the fluid particle in the current direction is derived using the characteristic function expansion method. From the joint distribution and the Morison equation, the theoretical distributions of drag forces, inertia forces and total random forces caused by waves propagating over a steady uniform current are determined. The distribution of inertia forces is Gaussian as that derived using the linear wave model, whereas the distributions of drag forces and total random forces deviate slightly from those derived utilizing the linear wave model. The distributions presented can be determined by the wave number spectrum of ocean waves, current speed and the second order wave-wave and wave-current interactions. As an illustrative example, for fully developed deep ocean waves, the parameters appeared in the distributions near still water level are calculated for various wind speeds and current speeds by using Donelan-Pierson-Banner spectrum and the effects of the current and the nonlinearity of ocean waves on the distribution are studied.
机译：基于在有限的水深中在稳定的均匀电流上传播的三维弱非线性随机波的二阶解，利用该特性推导流体粒子在电流方向上的速度和加速度的联合统计分布功能扩展方法。根据联合分布和莫里森方程，确定了由在稳定的均匀电流上传播的波引起的阻力，惯性力和总随机力的理论分布。惯性力的分布与使用线性波模型得出的惯性力分布是高斯分布，而阻力和总随机力的分布与使用线性波动模型得出的惯性力分布略有不同。呈现的分布可以通过海浪的波谱，海流速度以及二阶波-波和波-流相互作用来确定。作为一个示例，对于充分发展的深海波，通过使用Donelan-Pierson-Banner谱以及洋流和非线性的影响，针对各种风速和当前速度，计算出在静水位附近的分布中出现的参数。研究了波浪的分布。

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