Numerical Simulation of Liquid Sloshingin a Spherical Tank by MPS Method

This paper addresses the complex phenomenon of liquid sloshing inside a spherical tank, a subject critical for ensuring structural safety in various applications, notably in aerospace. Utilizing the in-house solver MLParticle-SJTU, based on the Moving Particle Semi-implicit (MPS) method, we simulate liquid sloshing under varying conditions inside a spherical tank. Our focus is on a range of liquid filling rates ([Formula: see text]–1.8), where the tank experiences initial excitation and the liquid inside decays freely. The key outcomes include the natural frequencies and damping coefficients at different filling rates. The results indicate a direct correlation between increasing water depth and rising natural frequency, coupled with a decrease in the damping coefficient. This study not only advances our understanding of liquid sloshing dynamics but also contributes valuable insights for designing safer aerospace structures under sloshing conditions.