论文部分内容阅读
提出了一种计算反常波海面参数及色散关系的数值方法.将反常波海面看成变幅变频的波列,在各个具体时间、空间点用不同参数的延拓正弦波进行插值.在具体的时间、空间点处,根据海面及其一阶、二阶导数关系,求出相应的延拓正弦波各个参数.数值模拟出的振幅结果表明该方法有效,利用该方法计算的反常波海面参数进行海面重构的结果与原海面完全符合.比较非线性海面波数和角频率的关系式ω2/k与重力加速度g值,发现反常波海面的主要非线性色散区域不是位于反常波区域,而是位于反常波两侧的附近区域,该区域平均波高要比线性色散区域的平均波高小.与小波分析及Hilbert变换分析方法比较,该方法优点主要在于:节省缓存存储空间和CPU运行时间,并能够输出系统的色散关系.而其缺点主要是工程应用范围局限于时间序列和空间数据并存的系统.
A numerical method for calculating the relationship between the sea surface parameters and the dispersion of anomalous waves is proposed. The anomalous sea wave is regarded as a series of steerable and variable frequency waves, and interpolated with extended sinusoids of different parameters at each specific time and space. Time and space points, the corresponding parameters of continuation sine wave are obtained according to the sea surface, the first-order and second-order derivatives, the numerical results show that the method is effective and the anomalous sea surface parameters calculated by this method The reconstructed sea surface is completely consistent with the original sea surface.Comparing the relationship between the wave number and the angular frequency of the nonlinear sea surface ω2 / k and the gravitational acceleration g value, we find that the main nonlinear dispersion area of the anomalous sea surface is not located in the anomalous wave area, Compared with the wavelet analysis and the Hilbert transform analysis method, this method has the following advantages: saving the cache storage space and the CPU running time, and can output the average wave height of the area less than that of the linear dispersion area Dispersion relationship of the system.And its shortcomings are mainly engineering applications limited to time series and spatial data coexist system.