A Local Regrouping Method in the 2D SPH Simulation

Abstract

The distortion of particles distribution is a defect that usually leads to numerical instability in the traditional SPH method. In this contribution, we introduce a novel local regrouping method to solve this problem. The basic idea is to keep the particles undeformed by regrouping, dividing or combining the deformed particles. We succeed to simulate the Taylor-Green vortex in 2D with this method, and demonstrate the effectiveness of this method.