Suppressing the Numerical Oscillations in Moving Particle Semi-implicit method

Abstract

MPS (Moving Particle Semi-implicit) method is one of the particle methods, which can be used to analyze incompressible free surface flow without surface tracking. However, MPS causes unreal pressure oscillation with high frequencies. We propose a new formulation for the source term of the pressure Poisson equation. The source term in the original MPS method is devided into three terms. With proper relaxations of the three terms, we can suppress the pressure oscillation. Smoother pressure distributions are obtained in a hydrostatic pressure and dam break problems.