PARTICLE SIMULATION OF SLOSHING BY THE IMPROVED FREE-SURFACE BOUNDARY MODEL

Abstract

 States of impact wave pressures under violent flows would be sensitively changed depending on their boundary conditions, and as a result, it is difficult to measure the pressure in hydraulic experiments. The particle method corresponding to a numerical wave flume has potential to resolve it with a numerical robustness for tracking large deformation of free surface and an accuracy in reproduction of fluid advection by its fully Lagrangian algorithm. Its performance has been increasingly enhanced by a recently developed free-surface boundary model (Space Potential Particles: SPP). However, SPP was developed on the basis of the lower-order kernel function. Moreover, its validation has not been studied sufficiently. In this study, a higher-order kernel function corresponding to the Wendland kernel is newly introduced into the SPP scheme. Its good performance is firstly shown through analysises with a simple benchmark about its applicability to the Pressure Poisson Equation. Second, a benchmark targeting a sloshing flow shows effective enhancements of numerical stability and accuracy by the proposed model through comparison with an experimental result.