Simulation of wave propagation on sloping seadike

On the basis of Volume of Fluid (VOF) and Simplified Maker and Cell (SMAC) methods, a numerical wave flume was established to simulate the interaction between waves and coastal structures by directly solving Navier-Stokes equation for Newtonian fluids and k- ε equation for turbulent motions. The emphases of this study is to verify the capability of the numerical wave flume in analyzing the hydrodynamic phenomena, such as wave run-up and wave overtopping associated with wave propagation on a sloping seadike. The wave flume was firstly verified by comparing the calculated non-linear wave propagation over a horizontal bed using the analytical solutions for Stokes and Cnoidal waves. Then, it´s applied to simulate the whole process of regular wave propagation on a sloping seadike. At last, its accuracy for calculating wave run-up and wave overtopping amount was examined through comparisons of the temporal changes in surface elevation and the overtopping rate over the slopping seadike with the experimental data.