林钢,邱大洪.新抛物型缓底坡波动方程[J].水利学报,1999,30(3): |
新抛物型缓底坡波动方程 |
A modified parabolic wave equation for mild slope |
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DOI: |
中文关键词: 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 |
英文关键词: variation principle, modified parabolic wave equation, mild slope, refraction-diffration, numerical simulation. |
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中文摘要: |
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 |
英文摘要: |
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. |
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