In this paper, a particle refinement scheme with a hybrid particle interacting technique for SPH is proposed. The axis-aligned square refinement pattern is adopted to split coarse particles into fine ones and produces a new kind of particle named as “representative particles”. Representative particles have the same masses and initial particle spacings as the fine ones and are used to represent coarse particles to interact with fine ones. With this treatment, interpolation errors from direct interactions of coarse and fine particles can be avoided. Numerical tests have demonstrated that the proposed particle refinement scheme is accurate and stable, and provides an effective approach to improve the simulation resolution of SPH with limited computational cost.

本文提出了一种基于混合粒子交互技术的SPH粒子细化方案。采用轴对齐的正方形细化图案将粗颗粒分成细颗粒，并产生一种称为“代表性颗粒”的新型颗粒。代表性的粒子具有与细粒子相同的质量和初始粒子间距，并用于表示与细粒子相互作用的粗粒子。通过这种处理，可以避免由于粗颗粒和细颗粒直接相互作用而引起的内插误差。数值试验表明，提出的粒子细化方案是准确，稳定的，并提供了一种有效的方法来提高SPH的模拟分辨率，而计算量却有限。