基于五阶斯托克斯规则波理论,提出了一种快速求解深水极限波峰下速度场的数学模型。研究中,按照上跨零点和下跨零点的方法由计算或实测的极限波浪波面时间历程确定包含极限波峰的相邻两个周期的平均值为五阶斯托克斯规则波的波浪周期,然后根据极限波峰反推确定波浪入射波幅。通过与已有的数值结果和实验数据对比,验证了所建立的数值模型可以快速准确的计算出极限波峰下的速度场,相比其他模型,更适合于工程应用。
Based on the fifth-order Stokes regular wave theory, a fast numerical model for the velocity field below extreme wave crest in deep water is developed. In the proposed research, up and downward zero-crossing technique is adopted to define the average of two neighboring wave periods containing the extreme crest as the period of 5th-order Stokes regular wave from the time series of extreme waves. Thus the input wave amplitude can be deduced by substituting the wave period and extreme crest into the equation of 5th-order Stokes regular wave elevation. By comparison of the published numerical results with experimental data, the proposed numerical model is verified to calculate the velocity field beneath the extreme wave crest fast and accurately. It is more adaptable for engineering practice compared with other models.