Smoothed particle hydrodynamics method from a large eddy simulation perspective

The Smoothed Particle Hydrodynamics (SPH) method, often used for the modelling of the Navier–Stokes equations by a meshless Lagrangian approach, is revisited from the point of view of Large Eddy Simulation (LES). To this aim, the LES filtering procedure is recast in a Lagrangian framework by definin...

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Bibliographic Details
Published in:Physics of fluids (1994) 2017-03, Vol.29 (3)
Main Authors: Di Mascio, A., Antuono, M., Colagrossi, A., Marrone, S.
Format: Article
Language:English
Subjects:
Computational fluid dynamics
Computer simulation
Convolution
Engineering Sciences
Filtration
Finite element method
Fluid dynamics
Fluid flow
Fluid mechanics
Fluids mechanics
Large eddy simulation
Mathematical models
Mechanics
Meshless methods
Physics
Smooth particle hydrodynamics
Vortices
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Summary:The Smoothed Particle Hydrodynamics (SPH) method, often used for the modelling of the Navier–Stokes equations by a meshless Lagrangian approach, is revisited from the point of view of Large Eddy Simulation (LES). To this aim, the LES filtering procedure is recast in a Lagrangian framework by defining a filter that moves with the positions of the fluid particles at the filtered velocity. It is shown that the SPH smoothing procedure can be reinterpreted as a sort of LES Lagrangian filtering, 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 filtered 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.
ISSN:1070-6631
1089-7666
DOI:10.1063/1.4978274