1. Fluid Mechanics Laboratory, École Centrale Nantes, Nantes, France;2. INSEAN, The Italian Ship Model Basin, 00128 Roma, Italy;3. Centre of Excellence for Ship and Ocean Structures, NTNU, Trondheim, Norway
Abstract:
In the present work a new SPH model for simulating interface and free surface flows is presented. This formulation is an extension of the one discussed in Colagrossi and Landrini (2003) and is related to the one proposed by Hu and Adams (2006) to study multi-fluid flows. The new SPH scheme allows an accurate treatment of the discontinuity of quantities at the interface (such as the density), and permits to model flows where both interfaces and a free surface are present. The governing equations are derived following a Lagrangian variational principle leading to an Hamiltonian system of particles. The proposed formulation is validated on test cases for which reference solutions are available in the literature.