波浪反射系数计算方法的性能分析

Analyzing the performance of the calculation method for wave reflection coefficients

由于噪声和非线性等因素的干扰,波浪场中波浪反射系数的计算精度会受到不同程度的影响,为了在复杂海况中准确地计算反射系数,需要对各算法的精确度和稳定性进行系统研究和分析。本文将噪声项和非线性成分叠加到简谐波中合成符合实际情况的规则波和不规则波;运用各种算法对不同预设反射率的波况进行计算并比较其性能参数;将各方法进一步应用于物理波浪水槽反射系数的计算,再次验证各算法的性能。通过对比最优间距下的计算结果发现,在规则波中,Mansard三点法、Goda两点法和传递函数法性能优于其他算法;在不规则波中,Goda两点法计算频率范围受限,传递函数法分离反射波误差较大,Mansard三点法性能表现最优。本文的研究可为不同波况下反射系数的计算提供理论参考,在模型试验及工程应用中具有一定的实践指导意义。

The accuracy of a wave reflection coefficient in a wave field is affected to varying degrees by the interference of noise and nonlinearity.To accurately calculate this reflection coefficient in complex sea states,the accuracy and stability of each algorithm must be systematically studied.First,a noise term and nonlinear components are added to simple harmonic waves to synthesize regular and irregular waves that conform to the actual situation.Second,the wave states of different preset reflectance are calculated,and their performance parameters are compared using various algorithms.Finally,these methods are further applied for calculating the reflection coefficient of a physical wave flume,and the performance of the algorithms is reverified.The calculation results under optimal spacing show that for regular waves,the Mansard three-point method,Goda two-point method,and transfer function method outperform other algorithms.For irregular waves,the calculation frequency range of the Goda two-point method is limited,the error of separate reflected waves of the transfer function method is large,and the performance of the Mansard three-point method is the best.The conclusions of this study can provide a theoretical reference for calculating the reflection coefficient under different wave conditions,which have certain practical importance in model tests and engineering applications.