Abstract: In this study, a computational model is established for solving wave propagation over a submerged dike based on RANS equations combined with Level-Set method. The fifth-order finite difference WENO scheme is used for spatial discretization, and a TVD third-order Runge-Kutta explicit time scheme is employed for time discretization in the model. The Level-Set method is used for tracking the free interface between the air and water phases, and a relaxation method is employed for wave generation and absorption. In order to validate the accuracy and applicability of the model, numerical investigation of the wave propagation over a submerged dike is conducted. The numerical results show a good agreement with experimental data. Further studies are carried out to investigate the influence of physical parameters, such as wave height, submerged depth, seaward and leeward slope gradients, on the process of wave propagation over a submerged dike. Results reveal that when the wave height is higher, submerged depth smaller, and seaward slope flatter, the effect of shoaling is more obvious; when leeward slope is flatter, the effect of shoaling on wave is slightly larger, but not obvious.

Key words: submerged dike, Level-Set method, wave propagation, numerical investigation, shoaling