An improved SPH method for multi-phase simulations

In this work a new SPH model for simulating interface flows is presented. This new model is an extension of the formulation discussed in Colagrossi and Landrini (2003), and shows strong similarities with one proposed by Hu and Adams (2006) to study multiphase flow. The main difference between these two models is that the present formulation allows for simulating multiphase flows together with the presence of a free surface. The new formulation is validated on test cases for which reference solutions are available in literature. A Rayleigh-Taylor instability is first studied. Then, the rise of an air bubble in a water column is investigated. Finally, the model capabilities are illustrated on the case of a drop of a heavy fluid entering a tank filled with water.