This paper presents results of a solitary wave propagating over a submerged horizontal plate based on a non-hydrostatic model. A high-resolution advection scheme is employed based on a second-order flux-limiter method. The model is first validated by comparing numerical results with recently obtained measured data. Then, a series of simulations are carried out to investigate the effect of the plate length on the characteristics of vortex shedding and evolution. With the increase in the length of the plate, more dominant vortical structures induced by the solitary wave with the same wave height can be identified near the lee side of the plate. There are two separate positive vortex shedding from the lower corner of the plate near the lee side, which are not presented in experiments. The secondary positive vortex leads to the water surface deformation for the case that is close to the limit when wave breaking occurs.

本文介绍了基于非流体静力模型的孤立波在水下水平板上传播的结果。基于二阶通量限制器方法采用高分辨率平流方案。该模型首先通过将数值结果与最近获得的测量数据进行比较来验证。然后，进行了一系列模拟，研究了板长对涡旋脱落和演化特征的影响。随着板块长度的增加，在板块背风侧附近可以识别出更多由具有相同波高的孤立波引起的主导涡旋结构。靠近背风侧的板下角有两个单独的正涡脱落，实验中没有出现。