摘要
应用变分原理导出修改抛物型缓底坡方程和扩展抛物型缓底坡方程．通过数值模拟方法数值求解具体地形上的波浪折射绕射，同Ｋｉｒｂｙ抛物型缓坡方程的线性方程和非线性方程进行比较．结果表明新的抛物型缓底坡方程具有适用性．提供了一种模拟波浪折射绕射的新方法．
The modified version and the extended version of the parabolic wave equation for mild slope are derived based on the variation principle.The equations are compared with conventional parabolic wave equation.The numerical examples for demonstrations of the applicability of the modified equation are given.The proposed new equation are shown to be capable of describing the propagation of the wave over a bed consisting of substantial variations in water depth and predicting the wave refraction diffraction with 3 D topography.
出处
《水利学报》
EI
CSCD
北大核心
1999年第3期59-64,共6页
Journal of Hydraulic Engineering
关键词
变分原理
抛物型
缓底坡
波动方程
折射绕射
variation principle, modified parabolic wave equation, mild slope, refraction diffration, numerical simulation.
