The transient behavior of the multi-interfacial flow can be modeled using recent Smoothed Particle Hydrodynamics (SPH) model. This developed numerical method is fully-Lagrangian particle-based approach, which can track the movement of many fluid phase directly. The advantage of this simulation model is a direct calculation in both of dispersed phase and continuous phase seamlessly. Thereby this model estimates transient behavior of interfacial behavior by predicting the changes of each interface shape. For example, numerical simulations have been performed for different conditions corresponding to different values of surface tension, viscosity and density, and the predicted topological changes as well as the theoretical interfacial shape of droplets can be validated. Based on this model, we carried out relatively large-scale interfacial flow simulations, investigated case studies of metallurgical processing, and evaluated the non-steady state flow of formed from various dispersed phase.