Modeling and Evaluating of Wave Run-up and Overtopping using Smoothed Particle Hydrodynamics Method

This paper presents a smoothed particle hydrodynamics (SPH) method to investigate wave overtopping over coastal structures. The SPH method is a mesh-free particle modeling approach that can efficiently treat the large deformation of free surface. To simulate free surface flows in Lagrangian Navier-Stokes equation, fluid particles are followed using numerical methods in several time-steps. The proposed numerical method expected to provide a promising practical tool to investigate the complicated wave-structure interactions. The water depth over the horizontal section of the model is varied between 0.105–0.26 m. The wave height of the model is varied between 0.022–0.155 m. Firstly, a solitary-wave run-up is verified by comparing results from the numerical model to the experimental data. Then, a solitary-wave overtopping was modeled and the results were compared with experimental data. Correlation coefficient R2 obtained from experimental and SPH model are 0.96 and 0.958 respectively. These results show that the present model is suitable for simulating complex problems in fluid mechanics with boundary conditions of free surface showing very good agreement with the experimental data.

Keywords:

Wave overtopping , Wave run-up , SPH method , Navier-Stokes equation , Numerical method