基于改进缓坡方程的波浪传播数值模拟  

Numerical simulation of wave propagation by modified mild-slope equation

作　　者：王红川[1] 周正萍[1] 

机构地区：[1]南京水利科学研究院水文水资源与水利工程国家重点实验室,江苏南京210029

出　　处：《海洋工程》2013年第3期45-53,共9页The Ocean Engineering

摘　　要：用变分原理导出考虑底坡一阶导数平方项和二阶曲率项影响的缓坡方程,对传统缓坡方程作了改进,提高波浪在海底地形变化剧烈、水深较浅时数值模拟精度。数值计算与已有实验室试验资料比较表明,该模型可以较好地模拟有剧烈变化的海底地形的波浪传播,比传统缓坡方程模型计算结果在精度上有明显提高。Variational principle is applied to derive a kind of modified mild-slope equation,which considers the first order derivative square term and the second order curvature effect of topography.This equation has higher precision in simulating wave propagation in the rapidly changing seabed than the conventional mild-slope equation.The capability of this model is validated by laboratory experiment data.The results show that the modified mild-slope equation can simulate wave propagation effectively in a large-scale water area.

关 键 词：变分原理 缓坡方程 数值计算 波浪传播 

分 类 号：TV139.2[水利工程—水力学及河流动力学]