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新抛物型缓底坡波动方程
引用本文:林钢,邱大洪.新抛物型缓底坡波动方程[J].水利学报,1999,30(3):59-64.
作者姓名:林钢  邱大洪
作者单位:1. 天津大学土木系水利博士后流动站,天津,300072
2. 大连理工大学海岸与近海工程国家重点实验室,大连,116024
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

关 键 词:变分原理,修改抛物型缓底坡方程,扩展抛物型缓底坡方程,水波,折射绕射,数值模拟
修稿时间:1998-05-29

A modified parabolic wave equation for mild slope
Lin Gang,Qiu Dahong.A modified parabolic wave equation for mild slope[J].Journal of Hydraulic Engineering,1999,30(3):59-64.
Authors:Lin Gang  Qiu Dahong
Affiliation:Lin Gang(Tianjiu university) Qiu Dahong(Dalian University of Technology)
Abstract: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.
Keywords:variation principle  modified parabolic wave equation  mild slope  refraction-diffration  numerical simulation  
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