摘要
缓坡方程由Ｂｅｒｋｈｏｆ所推导并在规则波折射绕射问题的研究上有着广泛的应用。然而对于不规则波折射绕射问题研究，缓坡方程还处于发展研究阶段，本文采用Ｐａｄｅ近似并仿Ｋｕｂｏ方法对缓坡波动方程进行了推导，得到了一个含有时间高阶导数项的不规则波缓坡方程，随即采用ＷＫＢ方法对这个不规则波的缓坡方程进行了简化，推导出一个较为实用的含有一阶时间导数的不规则波缓坡的波动方程。通过数值手段对所推导的不规则波缓坡方程进行了数值模拟。
The mild slope equation derived by Berkhoff, has widely been used in numerical calculation of refraction and diffraction of regular waves. However, it is well known that the randomness of sea waves has a significant effect on the refraction and diffraction problems. In this paper a new form of governing equation is derived with Padeapproximation and WKB method to calculate the time evolution of random waves subject to refraction and diffraction. Results of numerical calculation are compared with those of laboratory experiments in a wave flume.
出处
《海洋工程》
CSCD
北大核心
1996年第4期31-38,共8页
The Ocean Engineering
基金
博士点基金资助
关键词
不规则波
缓坡方程
数值模拟
random waves, mild slope equation, numerical calculation
