The particle method is more feasible and effective than methods based on grid connection problems involving the violent free surface motions. This study modified MPS method to predict the impact pressure acting on the wall of partially filled with water rectangular tank. The numerical results compared with the experimental result by Kishev et al.(2006) for sloshing problems. And the time history of the pressure acting on the wall obtained the numerical simulation are shown to be in good agreement with experiment.


The accurate prediction of highly nonlinear free-surface flows and the corresponding impact loads by fluid is very important in various oceanengineering applications including high waves, liquid sloshing, bow/deck slamming, or green waters. The numerical treatment of this kind of highly nonlinear free-surface behavior is usually very difficult and challenging due to the complexity of fully-nonlinear free-surface and body boundary conditions. In particular, how to trace free-surface particles in case of very violent motions, such as overturning, plunging, and splashing, is the most challenging task. There are several CFD techniques to handle such problems, i.e. SOLA-VOF (Hirt and Nichols, 1981), Level-Set (Sussman et al., 1994), Marker-Density function (MDF) (Miyata and Park, 1995) etc. However, there is a different approach without grid system, so-called particle method by use of kernel function and Lagrangian treatment of particles. For example, Koshizuka et al. (1998), Sueyoshi and Naito (2003) developed MPS (Moving Particle Semi-implicit) method, while Monaghan (1988) and Dalrymple and Rogers (2006) used SPH (Smoothed Particle Hydrodynamics). In MPS method, kernel-function-based difference algorithms are used for differentiation but kernel functions are directly differentiated in SPH method. Also for the pressure calculation the Poisson equation is used and solved iteratively at each time step in MPS method, while the state equation is used in SPH method.

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