Abstract: An improved particle level set method is proposed for simulation of incompressible two-phase flows. In this method, an improved particle correction method is developed to deal with relative positions between escaped particles and grid corner, which reduces disturbance arising in distance function correction due to non-normal direction movement of escaped particles. The method is validated with capturing accurately moving interface in single vortex flow problem. A projection method is used to solve control equations of incompressible two-phase flows with high density ratio (nearly 10³) and viscosity ratio (nearly 10²). Six typical bubble shapes are successfully captured in simulation of rising bubbles. Finally, time-dependent evolution of Rayleigh-Taylor instability (RTI) interface is numerically investigated. Numerical results are in good agreement with published results. Effects of control parameters on evolution of RTI are well examined.

Key words: particle level set, particle correction, single vortex flow, rising bubble, Rayleigh-Taylor instability