Sloshing in tanks with an internal horizontal perforated plate based on an immersed-boundary generalized harmonic polynomial cell method

This study explores the challenges of sloshing in rectangular tanks, focusing on the use of an internal perforated plate to mitigate its adverse effects. A novel numerical flow model is developed to examine sloshing dynamics involving these plates. The Navier–Stokes equations are solved using the projection method on a Cartesian grid, while a newly adapted immersed-boundary generalized harmonic polynomial cell method is employed to solve the Poisson equation within this framework. The solver's accuracy is validated through comparisons of free surface profiles, pressure, and velocity data with experimental results, demonstrating reliable performance in simulating sloshing phenomena. The research emphasizes optimizing the placement of perforated plates within the tank to maximize energy dissipation and minimize structural forces. The findings demonstrate that strategically positioning perforated plates effectively mitigates violent resonant sloshing caused by horizontal excitation, highlighting the critical influence of plate location on tank performance. These insights are instrumental for enhancing tank stability in engineering applications such as liquid cargo transportation, offshore storage facilities, and fuel tank design for aerospace and automotive industries, where precise control of fluid dynamics is essential for safety and operational efficiency.