Multiphase smoothed particle hydrodynamics modeling of forced liquid sloshing

Abstract

In the present paper, an improved multiphase weakly compressible smoothed particle hydrodynamics model for balancing the accuracy and stability of the long‐term simulations is proposed to model the forced liquid sloshing in a tank. The governing equations of the multiphase flow are discretized by considering the density discontinuity over the interface. To suppress the pressure oscillation, a previous density correction term suitable only for single‐phase problems is modified and incorporated into the discrete continuity equation to suit multiphase problems. The modified density reinitialization algorithm is implemented to calculate the pressure of the boundary particles, and the coupled dynamic solid boundary treatment (SBT) is employed to determine the rigid wall condition. For convenience, a numerical probe algorithm is also proposed to accurately measure the wave height. The present model exhibits a better numerical stability than the previous multiphase smoothed particle hydrodynamics model, and its results well confirm with the experimental data of the forced sloshing of liquid excited by swaying or rolling.

A positivity‐preserving Lagrangian discontinuous Galerkin scheme with exact Riemann solver for gas‐water compressible flows

“…The gas‐water two‐phase flows exist in various engineering fields, including underwater explosion bubble dynamics, 1 droplet dynamics in a shear flow, 2 liquid sloshing in a tank 3 and so on. The main motivation of this study is to develop a robust and accurate numerical scheme to simulate compressible multi‐phase flows.…”