Abstract

In this work we present a robust finite element procedure for modeling 3D nonlinear liquid sloshing phenomena using standard potential theory. A well known issue in simulating inviscid free-surface flows is an onset of spurious oscillations (“saw-tooth”) caused by numerical instabilities. Here we demonstrate that a novel post-processing procedure, based on the Savitzky–Golay filtering algorithm allows us to overcome this challenge. It is shown that unphysical numerical oscillations are smoothed out and nodal free-surface position along with velocity values are accurately recovered from conventional finite element analysis. Sloshing dynamics (limited to non-overlapping waves) is investigated for a partially filled vertical circular cylinder subjected to a broad range of harmonic and ElCentro seismic excitations. The results compare well with those obtained with finite volume OpenFOAM software. One-way coupling FSI analysis is also included to estimate stress and deflection experienced by cylindrical containers.

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