Study of the water entry and exit problems by coupling the APR and PST within SPH

Abstract

In this manuscript, the adaptive particle refinement (APR) and particle shifting technique (PST) are coupled and applied to investigate the entire process of water entry and exit. The PST implementation for various types of particles is quantitatively discussed in detail in the coupled APR-PST approach. A comprehensive analysis of different APR-PST coupled schemes is conducted with crucial variables compared and analyzed for the first time. The stability, accuracy and robustness of the developed numerical model are verified by three benchmark tests: 2D wedge water entry, 2D cylinder water exit and 2D cylinder water entry and exit. The obtained results show that the current model can ensure the overall computational precision in the situation of local refinement, which indicates it is a viable way to solve the problems of water entry and exit.