Vortex Generation in Water Waves Propagating Over a Submerged Rectangular Dike

摘要

The unsteady, two-dimensional Navier-Stokes equations and the exact free surface boundary conditions have been solved to simulate the flow separation and the vortex generation in water waves propagating over a submerged rectangular dike. The computed water surface elevations at different locations have been compared with experimental ones to verify the accuracy of the numerical method. The vorticity of the flow near the dike are calculated from the numerical velocity fields. Effects of the Keulegan-Carpenter number on the vortices is investigated. The wave forces on the dike are also determined. It was found that the wave force nearly reaches its highest value when the wave crest is above the dike.