In the Moving Particle Simulation (MPS) method, which is a gridless particle method with simple algorithm for solving Navier-Stokes equation, the insufficient number of particles in the vicinity of boundary has a considerable influence on numerical calculation, which causes the flow field unstable and inaccurate directly. In the present study, we have developed a correct polygon wall boundary model into a MPS method to stabilize the flow field and treat complex boundary/body shape more accurately. The simulation result of the proposed model is verified by comparing with the experiments and other simulation results calculated by MPS method. The results include static pressure and sloshing of a container with the complex boundary configuration.


The particle method which is the simplified algorithm for the calculation without grid system has been widely employed for non- linear fluid impact loading problems, such as slamming and sloshing problems. Smoothed Particle Hydrodynamics (SPH; Monaghan, 1988) and Moving Particle Semi-implicit (MPS; Koshizuka and Oka, 1996) are representative particle methods in the hydrodynamics field. Also it does not cause serious numerical diffusion and is perfectly satisfied conservation of mass. However, one of the characteristics of this method is that could not satisfy the boundary condition correctly because the number of particles used for calculation would be insufficient in the vicinity of boundary.

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