Comparative Study on Numerical Calculation of 2-D Random Sea Surface Based on Fractal Method and Monte Carlo Method

作     者：Wu, Gengkun Liu, Chuanxi Liang, Yongquan 

作者机构：Shandong Univ Sci & Technol Coll Comp Sci & Engn Qingdao 266590 Peoples R China Shandong Univ Sci & Technol Coll Intelligent Equipment Tai An 271000 Shandong Peoples R China 

出 版 物：《WATER》 (水)

年 卷 期：2020年第12卷第7期

页      面：1871-1871页

核心收录：

学科分类：0830[工学-环境科学与工程（可授工学、理学、农学学位）] 08[工学] 081501[工学-水文学及水资源] 0815[工学-水利工程] 

基　　金：Shandong Provincial Natural Science Foundation [ZR2018BD029] Scientific Research Foundation of Shandong University of Science and Technology for Recruited Talents [2017RCJJ046] Shandong Key R&D Program (Soft Science) [2019RKB01058] SDUST Research Fund Training Program of the Major Research Plan of the National Natural Science Foundation of China: Research on Planting Structure Optimization and Production Management Decision Technology Based on Agricultural Big Data National Key Research and Development Program of China: Mine Internet of things of Cloud interaction technology and service platform [2017YFC0804406] 

主　　题：Monte Carlo method fractal function distribution frequency domains numeric modeling undeveloped sea surface 

摘      要：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.