摘要
为研究潜堤附近水波变形现象,建立了一个模拟该现象的数值方法。基于势流理论的基本方程,其中入射波浪的生成基于域内源造波方法,无反射边界采用海绵层消波加辐射条件的处理方法。垂向采用σ坐标变换,可保证自由表面和底面边界的"精确"满足,同时便于有限差分法的应用。使用该模型对二个已有的物理模型实验进行计算,比较了长波和短波越过潜堤时波浪变形特性的异同。计算所得潜堤前后不同位置处的波面与实验结果吻合较好。结果表明:该模型能很好地模拟坡度不同的潜堤前坡上高次谐波的产生和堤后波浪分裂现象,可用于求解二维强非线性势波问题。
A numerical method based on potential theory was developed to simulate nonlinear wave transformation over a submerged breakwater. The incident wave was generated using a source wave-generating method with the outgoing wave dissipated by sponge layers and transmitted by the radiation boundary condition. The σ coordinate transformation was used in the vertical so that the free surface and bottom boundary conditions could be precisely implemented. The finite difference method was used to solve the governing equations and the boundary conditions. The model was verified by comparing the calculated wave profiles with available experimental data. The similarities and differences of wave evolution for long waves and short waves were also investigated. The results show that the model can simulate the higher harmonics generated on the front slope and the wave decomposition behind the breakwater to analyze the strongly nonlinear wave characteristics.
出处
《清华大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2004年第12期1656-1659,共4页
Journal of Tsinghua University(Science and Technology)
基金
国家杰出青年科学基金资助项目(50025935)
关键词
波浪分裂
波浪变形
势流理论
σ坐标变换
wave decomposition
wave transformation
potential wave theory
σ coordinate transformation
