Abstract:
In numerical simulations using Smoothed Particle Hydrodynamics (SPH), the Particle Shifting Technology (PST) is commonly employed to alleviate issues related to particle disorder and tensile instability caused by negative pressures. However, several widely adopted PST improvement schemes still suffer from computational difficulties and produce non-smooth interfaces. Within the framework of weakly compressible SPH, this study proposes a Novel Particle Shifting Technology (NPST). The method addresses the issue of non-physical gaps near the free surface and compensates for missing free-surface information by controlling the influence of free-surface particles on their neighboring particles. As a result, it effectively mitigates irregularities along the free surface. The stability and effectiveness of the proposed NPST are validated through numerical simulations of three classical free-surface flow problems: numerical wave generation, square droplet rotation, and droplet oscillation. The simulation results are further compared with those obtained using the IPST method proposed by Wang et al. to highlight the improvements achieved. The results show that the NPST effectively alleviates particle distribution irregularities near the free surface, even at low resolutions, thereby enhancing computational accuracy. Moreover, the algorithm is simple and easy to implement.