A numerical method based on smoothed particle hydrodynamics with adaptive spatial resolution (SPH-ASR) was developed for simulating free surface flows. This method can reduce the computational demands while maintaining the numerical accuracy. In this method, the spatial resolution changes adaptively according to the distance to the free surface by numerical particle splitting and merging. The particles are split for refinement when they are near the free surface, while they are merged for coarsening when they are away from the free surface. A search algorithm was implemented for identifying the particles at the free surface. A particle shifting technique, considering variable smoothing length, was introduced to improve the particle distribution. The presented SPH-ASR method was validated by simulating various free surface flows, and the results were compared to those obtained using SPH with uniform spatial resolution (USR) and experimental data.

开发了一种基于具有自适应空间分辨率的平滑粒子流体动力学 (SPH-ASR) 的数值方法来模拟自由表面流动。这种方法可以在保持数值精度的同时减少计算需求。在该方法中，通过数值粒子分裂和合并，空间分辨率根据到自由表面的距离自适应变化。粒子靠近自由表面时分裂细化，远离自由表面时合并粗化。实施了一种搜索算法来识别自由表面的粒子。引入了考虑可变平滑长度的粒子移动技术来改善粒子分布。所提出的 SPH-ASR 方法通过模拟各种自由表面流动进行了验证，