Suspending a rectangular vessel which is partially filled with fluid from a single rigid pivoting
pole produces an interesting theoretical model with which to investigate the dynamic
coupling between fluid motion and vessel rotation. The exact equations for this coupled
system are derived with the fluid motion governed by the Euler equations relative to the
moving frame of the vessel, and the vessel motion governed by a modified forced pendulum
equation. The nonlinear equations of motion for the fluid are solved numerically via a time …

The pendulum-slosh problem: simulation using a time-dependent conformal mapping
dataset - University of Surrey …