Abstract
Based on fifty one groups of data on direction distribution measured from buoy sites, several important spectrum parameters including distribution characteristics of the measured data’s spectrum, the Wen’s direction spectrum and the Donelan function are analyzed from the perspectives of standard deviation of directional distribution function and statistical results. Then, a numeric calculation model based on the Monte Carlo method is proposed in this work. At the same time—based on Weierstrass self-affine fractal function—numeric simulation of random sea surface is conducted by modifying the bilateral power law. The analysis of the numeric calculation results under different wind directions, speeds and fetches proves that both methods can be adopted for different water directional distributions and target spectrum models. In addition, this study compares the characteristic wave within different distribution frequency domains in the main wave direction and in its orthogonal direction. It is proved that the fractal method cannot fully reflect the anisotropy of gravity wave and tension wave in the superposition direction, however, it can maintain the similarity of overall energy part with the rough length of the waves. Moreover, there are still limitations of the fractal method in the numeric modeling of undeveloped sea surface.
Highlights
In the physical ocean domain, the sea spectrum is defined as the function distribution spectrum of power density on the sea surface
The sea spectrum is calculated by means of the Fourier transform using the correlation function of height fluctuation on the sea surface, which can reflect the statistical distribution characteristics of the energy contained in the wave in terms of propagation direction and wavelength [1]
Based on the fifty one groups of data on direction distribution measured from buoy sites, the directional distribution characteristic and statistical results of the maximum of Wen’s directional spectrum and Donelan function are calculated and analyzed at different relative wind speeds and different relative frequencies in this study
Summary
In the physical ocean domain, the sea spectrum is defined as the function distribution spectrum of power density on the sea surface. Based on fifty one groups of data, the linear fitting accuracy of the directional spectrum distribution of the Donelan function and the Wen’s spectral function in China’s offshore waters is analyzed from the perspective of standard deviation of directional distribution and statistical results of the maximum. Based on the above principles, the fitting adaptability of the Wen’s spectrum and the Donelan function to the measured wave direction spectrum is studied, and the above different distribution patterns are counted, and their errors are calculated.
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