On enhancement of Incompressible SPH method for simulation of violent sloshing flows

The paper presents two schemes for enhancement of Incompressible SPH (Smoothed Particle Hydrodynamics)-based methods in simulation of violent sloshing flows, and in particular, sloshing induced impact pressures. The enhanced schemes include a Higher order Laplacian and an Error-Compensating Source of Poisson pressure equation, abbreviated as HL and ECS, respectively. These two schemes correspond to those derived within the framework of MPS (Moving Particle Semi-implicit) method and are proposed for the first time within the framework of SPH. The enhancing effects of HL and ECS schemes are shown by simulating violent sloshing flows induced by sway excitations and rotational ones. The significance of dynamically adjusted coefficients in the ECS-related schemes is highlighted by considering a previously applied scheme comprising of a constant coefficient and a corresponding newly proposed one which incorporates a dynamic coefficient. Concise insights are presented on appropriate choice of kernel function.