摘要
在推广的缓坡方程数学模型基础上建立了多方向不规则波数学模型,综合考虑了波浪折射、绕射、反射、底摩擦和风能输入等因素。基于线性波浪理论,将波浪方向谱在频率和方向上按等能量分割法离散后,分别计算各组成波的传播变形,再计算合成波要素。缓坡方程数学模型采用改进的ADI法求解,计算效率高,稳定性好。采用椭圆形浅滩不规则波模型试验结果和单突堤不规则波绕射理论解对数学模型进行了验证,数值模拟结果和试验值及理论解符合良好。利用该模型进行了某港港内波浪折射、绕射和反射的联合数值模拟,给出了合理的港内波高分布。
A multi-directional irregular wave model is established based on the extended Mild-Slope Equation, in which the main factors are involved, such as refraction, diffraction, reflection, bottom friction and wind energy input. Directional wave spectrum is discretized in frequency and direction domain by an energy equalisation method, and calculation is conducted for each wave component. The modified ADI method is applied to solve the wave equation, which is of high efficiency and stability. The model is applied to calculate wave propagation on the bathymetry with an elliptic shoal and wave diffraction around a semi-infinite breakwater, and the results given by the model agree well with the experiment data and theoretical solution. Irregular wave refraction, diffraction and reflection modelling for a harbour is conducted and a sound wave height distribution in the harbour is given. The study shows that the present model can be applied to wave field modelling for port and coastal engineering.
出处
《海洋工程》
CSCD
北大核心
2004年第3期14-19,29,共7页
The Ocean Engineering
关键词
不规则波
方向谱
折射
绕射
反射
数值模拟
irregular wave
directional spectrum
refraction
diffraction
reflection
numerical modelling
