In this work, a particle regeneration technique is developed for Smoothed Particle Hydrodynamics (SPH). In traditional SPH, the particle disorder phenomenon will occur when dealing with the strongly compressible flow problem. To solve this, in the present work, uniformly distributed background particles filled in the computational domain are adopted. The particle regeneration technique is that the fluid particles replaced by the background particles when the fluid density changes to a specific limitation. The fluid variables of the background particles are approximated by the fluid variables of the initial particles in their support domain. For the multiphase flow, the multiphase interface is calculated by an interface reproducing algorithm, in which, we defined an indicator variable, and set the indicator value discontinuity between different materials. By setting the threshold value, the multiphase interface is reconstructed. Meanwhile, the momentum equation for the Riemann SPH is modified to eliminate the instability in the light phase. Several numerical examples are studied to verify the present algorithm.

在这项工作中，为平滑粒子流体动力学（SPH）开发了一种粒子再生技术。在传统的SPH中，当处理强可压缩流动问题时，会出现颗粒紊乱现象。为了解决这个问题，在本工作中，采用填充在计算域中的均匀分布的背景粒子。粒子再生技术是当流体密度更改为特定限制时，流体粒子被背景粒子替换。背景粒子的流体变量通过其支撑域中的初始粒子的流体变量来近似。对于多相流，通过接口重现算法来计算多相界面，在该算法中，我们定义了一个指标变量，并设置不同物料之间的指标值不连续性。通过设置阈值，可以重建多相界面。同时，修改了黎曼SPH的动量方程，以消除光相中的不稳定性。研究了几个数值示例，以验证本算法。