Effects of base aspect ratio on transient resonant fluid sloshing in a rectangular tank: A numerical study

• Non-linear sloshing waves in a three-dimensional shallow water tank are simulated using the PSME method.
• The effects of base aspect ratio in different depths are studied.
• The wave pattern is highly dependent on the base aspect ratio in lower depth tanks.
• The difference of the wave elevation between diagonal and full excitations in deeper water tanks is significant.

A validated pseudospectral σ-transformation model for ideal liquid with irrotational flow is used to study the base aspect effect on transient resonant fluid sloshing in a three-dimensional rectangular tank. Four different depth classes (shallow water, intermediate depth, finite depth and deep water) are investigated. Also, four base aspect ratios (very long base, half width base, nearly square base and square base) are considered. Longitudinal, diagonal and full excitations are applied to all cases. In a shallow water tank with a non-square base, different wave transient sloshing modes are observed. Also, the difference of the wave elevation between diagonal and full excitations is significant. Results show that contrary to the situation in deeper water tanks, sloshing in lower depth tanks strongly depends on the base aspect ratio.