Numerical Simulation of Breaking Solitary Wave on the Sloping Beach Using WCSPH Method

In this article, a numerical meshless method called Weakly Compressible Smoothed Particle Hydrodynamic (WCSPH) is used to simulate the solitary wave breaking process on the beach. The present model is a two dimensional model that considers the fluid weakly compressibility. This model solves the viscous fluid equations to obtain velocity field and density and solves the equation of state to obtain the pressure field. This leads to computational efficiency of the model in comparison with basic SPH model. To simulate the fluid turbulence in wave breaking process, the Sub Particle Scale (SPS) model that is obtained from Large Eddy Simulation (LES) theory of turbulence is used. In this research to consider the accuracy of free surface simulation, first a dam break test is performed to compare the model results with experimental data of Martin and Moyce (1952). Afterwards to verify the turbulence model, a comparison between model results of dam break phenomenon and experimental results of Issa (2005) is carried out. These comparisons showed that the developed model is a powerful tool for simulation of the turbulent flow behavior. Finally, the transform of a breaking solitary wave on the sloping beach is modeled and the results were discussed.