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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。
In order to study the water wave deformation near the submerged embankment, a numerical method to simulate this phenomenon was established. Based on the basic equations of potential flow theory, the incident wave generation is based on the method of source wave generation in the domain, and the non-reflection boundary is treated by the sponge layer wave elimination and radiation conditions. The use of a sigma-delta transformation in the vertical direction guarantees “exact ” satisfaction of free surface and bottom boundaries and facilitates the application of finite difference methods. The model was used to calculate two existing physical model experiments. The similarities and differences of wave deformation characteristics between long wave and short wave over the submerged embankment were compared. The calculated wave front at different positions of the submerged embankment is in good agreement with the experimental results. The results show that this model can well simulate the generation of higher harmonics and the wave splitting after embankment on different slopes of submerged slopes, which can be used to solve two-dimensional strong nonlinear potential wave.