Stokes波的谱特性分析

应用理论推导及数值计算方法，对Stokes随机波的谱特性进行了分析。首先将波面方程，海水质点水平速度用一阶波面分量的非线性组合表示，应用平稳随机高阶短的降阶计算法则，得到了波面方程及海水质点水平速度与一阶波面分量的自相关函数之间的关系，从而确定了Stokes随机波浪的波浪谱密度及海水质点水平速度和加速度谱密度，进而求得有关波浪要素的均方根值。文章还应有数值计算方法，分析了波浪基本参数对均方根值的影响。

Spectral properties of Stokes waves

The spectral properties of Stokes waves are analyzed in this paper based on theoretical derivation and numerical computation. This is done by expressing wave profile and velocities of water particles as nonlinear combinations of the first order component. The relationship between autocorrelation functions of wave profile, velocities of water particles and the first order component is established. The spectral densities of nonlinear random waves, the velocities and accelerations of water particles are obtained. The numerical computation method is used to analyze the effect of fundamental wave parameters.