Mesh-free peridynamic coupled simulation of impacting collapse of a granular column with various heights

Abstract

In this study, a coupled model of Peridynamics into the mesh-free method is extended to simulate the impacting collapse of a granular column with various suspended heights. Experiments on the impacting collapse were conducted to validate the numerical model. It is found that the simulated free surface profiles have a good agreement with the experimental measurements. The numerical model is also validated by simulating the granular column collapse. The simulated kinetic energy and potential energy agree well with the discrete element method (DEM) simulation results in the literature. In the validations, different numerical particle distances are implemented to discrete the fluid and a good numerical convergence is achieved for the numerical method. After model validation, the energy variations in the impacting collapse of the granular column with different suspended heights are analyzed, which include evolutions of the potential energy, horizontal kinetic energy, and vertical kinetic energy. In the analysis, the relative total energy dissipation rate for the flow with various suspended heights is calculated. The analysis shows that the suspended height in the impacting collapse of the granular column can affect the energy dissipation significantly.