A semi-implicit particle method for bubble simulation

Particle methods are resolved in the fully-Lagrangian frame so that the motion of interface can be automatically tracked. Thus, they have great potentials for multiphase flows. The present work extends the Moving Particle Semi-implicit method (MPS) to multiphase flows. Multiphase particle interaction models are developed by introducing the mean density and viscosity models in the transition region of interface. The surface tension is transformed into volume forces by the Continuum Surface Force model (CSF) and the curvature is calculated from the contours of smoothed color function, whose first and second derivatives is approximated by the least square methods. Finally, the rising bubble in static water is simulated to validate the present model.