Asghar Farhadi - Ph.D. Student, School of Mechanical Engineering, Shiraz University, Shiraz, Iran,
Homayoun Emdad - Associate Professor, School of Mechanical Engineering, Shiraz University, Shiraz, Iran,
Ebrahim Goshtasbi Rad - Assistant professor, School of Mechanical Engineering, Shiraz University, Shiraz, Iran,

Numerical simulation of water wave generation and propagation problem, including complicated free surface deformations, has been a main research interest for many researchers. In this context, using mesh based methods has been a common choice in the past decades. However, in the recent years, Incompressible Smoothed Particle Hydrodynamics (ISPH) as a Lagrangian meshless method has been utilized in many of applications. In this study, firstly, the projection method is presented to enforce incompressibility with the evaluation of an intermediate velocityand then projecting this velocity on the divergence-free space. Then, a two dimensional solitary water wave is generated and its propagation toward the steep beach is studied and the effect of various wave heights to water depth ratios on solitary wave generation are investigated. Finally, the results of ISPH simulations are compared against the available results in the literature and it is shown that solitary wave profile simulated by ISPH is in good agreement with experimental data

ISPH, Piston wave maker, Solitary wave, Wave breaking, Wave runup