The paper presents a 3D-CMPS method for refined simulation of a plunging breaking wave and resultant splash-up. The Corrected MPS (CMPS; Khayyer and Gotoh, 2008a) has been extended to three dimensions and 3D-CMPS method has been developed on the basis of 3D-MPS method by Gotoh et al. (2005b). The enhanced performance of 3D-CMPS method with respect to 3D-MPS method has been shown by simulating a plunging breaking wave on a plane slope. Furthermore, the parallelization of 3D-CMPS method with two different solvers of linear equations has been performed to enhance the computational efficiency of the calculations.
Breaking waves on beaches constitute one of the most energetic events in the coastal environments. Hence, a better understanding and modeling of the breaking waves is of central importance for coastal engineering applications. Both of experimental techniques and gridbased numerical methods have certain constraints and drawbacks when applied in the study of violent free-surface hydrodynamic flows such as the breaking waves (Gotoh et al., 2005a). On the other hand, particle methods or the Lagrangian gridless methods provide a substantial potential for a comprehensive description of the full processes associated with the breaking waves. Because of their gridless nature, particle methods are inherently wellsuited for the analysis of problems which include moving discontinuities characterized by large deformations or fragmentations as in case of breaking waves. In addition, due to their Lagrangian treatment of discrete particles, such methods are able to simulate freesurface fluid flows without the numerical diffusion (Gotoh et al., 2005a) and without the need for an interface capturing technique as in case of Eulerian grid-based methods. The Moving Particle Semi-implicit (MPS; Koshizuka and Oka, 1996) is one of the capable particle methods developed initially for the simulation of incompressible free-surface fluid flows. Despite its simplicity and capability, the MPS method has a few shortcomings including the non-conservation of momentum (Khayyer and Gotoh, 2008a).
