3D-CMPS METHOD FOR IMPROVEMENT OF WATER SURFACE TRACKING IN BREAKING WAVES

The paper presents a three-dimensional Corrected MPS (3D-CMPS) method for improvement of water surface tracking in breaking waves. The Corrected MPS (CMPS; Khayyer and Gotoh, 2008) has been extended to three dimensions and a 3D-CMPS method has been developed on the basis of the 3D-MPS method by Gotoh et al. (2005b). The improved performance of the 3D-CMPS method with respect to the 3D-MPS method has been shown by simulating a plunging breaking wave and resultant splash-up on a plane slope. Furthermore, the parallelization of 3D-CMPS method with two different solvers of simultaneous linear equations, namely, namely, the PICCG-RP (Parallelized ICCG with Renumbering Process; Iwashita and Shimasaki, 2000) and SCG (Scaled Conjugate Gradient; Jennings and Malik, 1978) techniques, has been performed to enhance the computational efficiency of the calculations. This study also applies a simple dynamic domain decomposition for an optimized load balancing among the processors.