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.
出处
《海洋工程》
CSCD
北大核心
2013年第3期45-53,共9页
The Ocean Engineering
关键词
变分原理
缓坡方程
数值计算
波浪传播
variational principle
mild-slope equation
numerical simulation
wave propagation
