Simulation of Interfacial and Free-Surface Flows using a new SPH formulation

In this work a new SPH model for simulating interface flows is presented. This new model is an extension of the formulation discussed in [4], and shows strong similarities with one proposed by Hu & Adams [6] 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.