Shallow water sloshing modeled through the delta-SPH scheme

The Delta-SPH scheme proposed in Antuono et al.[1] has been applied to the analysis of sloshing phenomena (i.e. violent fluid motions inside a tank) in shallow water regimes. The study of such motions is of fundamental importance for the stability and structural safety of Liquid Natural Gas carriers. In this context, sloshing phenomena in shallow water represent a very demanding problem for both numerical schemes and theoretical models because of the major role played by nonlinearities. To assess the accuracy of the Delta-SPH scheme, comparisons have been made with experimental measurements and with an analytical model. In all the considered cases, the ?-SPH scheme, the experiments and the analytical model display a good agreement. This further confirms the ability of the ?-SPH scheme in the modeling of violent free surface motions.