Numerical Simulation of 2-Phase Flows by Smoothed Particle Hydrodynamics

Tulin and Landrini (2000), Landrini et al. (2001a, 2001b) applied the Smooth Particle Hydrodynamics method (SPH, see e.g.Monaghan 1988) to capture the basic features of wave breaking around ships. In particular, it has been highlithed and discussed the basic link between breaking processes, vorticity generation and air capturing. The latter implies the need of multi-phase modeling to study the long-term evolution of such flows. On this ground, we developed a two-phase version of the SPH method, Colagrossi et al. (2002), which improved the applicability of SPH to these problems. In this paper, we further extend this development and present the algorithmical details of the present SPH implementation. As a practical example, we consider the two-phase version of the classical dam-break problem, e.g. Colicchio et al. (2000). Namely, an initially rectangular column of heavy fluid is surrounded by a lighter one. Both media are contained within a rectangular tank.