Toward Enhancement of MPS Method for Ocean Engineering: Effect of Time-Integration Schemes

The moving particle semi-implicit (MPS) method is a Lagrangian meshless method to simulate incompressible fluid flows. Since its development, the MPS method has almost always been applied with a simple explicit Euler scheme, and the effect of higher-order time-integration schemes on the accuracy of this method has not yet been examined in detail. In this paper, the effect of higher-order time-integration schemes is investigated by considering a set of appropriate ocean engineering-related benchmark tests. It will be shown that the accuracy of the MPS method is not noticeably sensitive to the applied time-integration scheme. Hence, for further enhancement of the MPS method, especially for the simulation of the violent fluid flows often encountered in ocean engineering, the main focus should be given to the accuracy, consistency and convergence properties of differential operator models and an applied projection scheme.