Mesh-free Lagrangian modelling of fluid dynamics

Despite their relatively recent application to fluid dynamics mesh-free Lagrangian methods are becoming an alternative to standard mesh-based methods in some situations of CFD. This is especially the case when complex interfaces are involved (free surfaces, fluid-structure or fluid-fluid interfaces, etc.). In general, these methods are particularly well-suited to fast dynamics flows. These methods also provide interesting answers to some multi-physics issues.The talk will start with a brief review of mesh-free Lagrangian methods under current development, and will then focus more particularly on the Smoothed Particle Hydrodynamics (SPH) method. The method principle, its assets and drawbacks, and the recent advances in its development will be discussed, and example applications will be shown.