A Novel Improved Coupled Dynamic Solid Boundary Treatment for 2D Fluid Sloshing Simulation

Abstract

In order to achieve stable and accurate sloshing simulations with complex geometries using Smoothed Particle Hydrodynamic (SPH) method, a novel improved coupled dynamic solid boundary treatment (SBT) is proposed in this study. Comparing with the previous SBT algorithms, the new SBT algorithm not only can reduce numerical dissipation, but also can greatly improve the ability to prevent fluid particles penetration and to expand the application to model unidirectional deformable boundary. Besides the new SBT algorithm, a number of modified algorithms for correcting density field and position shifting are applied to the new SPH scheme for improving numerical stability and minimizing numerical dissipation in sloshing simulations. Numerical results for three sloshing cases in tanks with different geometries are investigated in this study. In the analysis of the wave elevation and the pressure on the tank, the SPH simulation with the new SBT algorithm shows a good agreement with the experiment and the simulations using the commercial code STAR-CCM+. Especially, the sloshing case in the tank with deformable bottom demonstrates the robustness of the new boundary method.

A Numerical Analysis of Dynamic Slosh Dampening Utilising Perforated Partitions in Partially-Filled Rectangular Tanks

“…Thiagarajan et al [14] carried out numerical investigations on sloshing motions in a twodimensional tank with fill-levels varying from 10% to 95% of the tank height, an oscillation frequency range of 0.35 Hz to 1.25 Hz, and a peak-to-peak displacement of 0.25 m. Utilising the finite-volume method coupled with the VOF technique, the computational results for free-surface elevation and impact pressure were found to be in good agreement with the experimentation. Good agreements could also be found for meshless numerical solutions based on smoothed particle hydrodynamics (SPH) [15][16][17].…”