A Technique for Stable Numerical Computation of Hydrodynamic Impact Pressure in Sloshing Simulation

One of the critical points in the numerical assessment of liquid sloshing is accurate and stable descriptions of the hydrodynamic impact pressures. Due to discrete approximations adopted by the available numerical methods, unnatural violently-oscillating time histories of the impulsive pressure, caused by unstable or even non-converging numerical computation, are generally obtained. The aim of this paper is to investigate the unstable nature of the impulsive pressure computation. Also, a new numerical treatment of the boundary condition for accurate and stable assessment of the sloshing impact pressure based on rectangular grid system is proposed. The comparisons of the computed results with the experimental ones confirmed the accuracy of the proposed technique. The improvements achieved over the existing approaches are also shown herein.