A.-M. Zhang

TL;DR: In this article, the authors used a coupled Lagrangian particle method combining a multi-phase δ-SPH scheme and a Total-Lagrangian-Particle (TLP) method.

TL;DR: In order to limit the particle volume variations and maintain a homogeneous volume distribution in the entire flow field, especially near the interface between different phases of different compressibility, a new volume adaptive scheme is proposed to control particle volumes.

TL;DR: The Volume Adaptive Scheme (VAS), originally developed for compressible flow simulations with large volume variations in Cartesian coordinates, is shown to be a crucial tool to adjust particle volumes in the Axisymmetric-SPH model for all flow cases, including both weakly-compressible and strongly-compressing flows.

TL;DR: In this article, an adaptive particle refinement (APR) technique is adopted to resolve correctly the boundary layer regions of the moving bodies, and to de-refine the particles that are transported far away, and a switch correction on the pressure forces term is adopted in the momentum equation to completely remove the occurrence of the so-called tensile instability that leads to the development of numerical cavitation in negative pressure regions.

TL;DR: In this article, a nonlinear 5th order Stokes wave is used to model the undisturbed fluid field, and the wave disturbed by the falling cone satisfies the fully nonlinear boundary conditions.