Smoothed particle hydrodynamics method from a large eddy simulation perspective

The Smoothed Particle Hydrodynamics (SPH) method, often used for the modelling of the NavierStokes equations by a meshless Lagrangian approach, is revisited from the point of view of Large Eddy Simulation (LES). To this aim, the LES ltering procedure is recast in a Lagrangian framework by dening a lter that moves with the positions of the uid particles at the ltered velocity. It is shown that the SPH smoothing procedure can be reinterpreted as a sort of LES Lagrangian ltering, and that, besides the terms coming from the LES convolution, additional contributions (never accounted for in the SPH literature) appear in the equations when formulated in a ltered fashion. Appropriate closure formulas are derived for the additional terms and a preliminary numerical test is provided to show the main features of the proposed LES-SPH model.