通信学报Issue(2)：177-185,9.DOI:10.3969/j.issn.1000-436x.2013.02.021
二维改进分形海面模型及海谱分析
Two-dimensional improved fractal model of the sea surface and sea spectrum evaluation
陈瑜 1胡云安 1林涛1
作者信息
- 1. 海军航空工程学院 控制工程系，山东 烟台 264001
- 折叠
摘要
Abstract
Aiming at the problem that the ominidirectional sea-wave spectrum of fractal sea-wave model could not satisfy the positive power law when spatial wave numbers was smaller than the fundamental wave number, 2-D sea-wave model was proposed by combining statistical sea model and normalization band-limited Weierstrass-Mandelbrot (WM) fractal sea model. With the proposed method, the closed form expression of the directional sea-wave spectrum was calculated and the ominidirectional sea-wave spectrum and the angular distribution function derived,the comparison with the results in the literature was made, and influences of fractal dimension, frequency and amplitude factor, wind speed and wind di-rection on sea-surface were further analyzed. Simulation results show that omnidirectional sea-wave spectrum is in good agreement with the common spectrum of Pierson-Moskowitz (PM) and JONSWAP and Wen Sheng Chang and the real data of the South China Sea, angular distribution function is very similar to the Mitsuyasu’s distribution function, sea surface have both characters of large-scale turbulent waves and micro-scale capillary wave, statistical model and fractal model’s characters are still suitable for improved fractal model, and the correctness of the improved model was validated.关键词
分形模型/海谱/Longuet-Higgin模型/PM谱Key words
fractal model/sea-wave spectrum/Longuet-Higgin model/PM spectrum分类
数理科学引用本文复制引用
陈瑜,胡云安,林涛..二维改进分形海面模型及海谱分析[J].通信学报,2013,(2):177-185,9.
