Statistical modelling of turbulence and applications to Large-Eddy Simulation

Jean-Pierre Bertoglio (1)

1 LMFA - Laboratoire de Mecanique des Fluides et d'Acoustique

The subject of this presentation is turbulence modelling and applications to Computational Fluid Dynamics (CFD). A special attention is paid to the spectral models of turbulence, also called statistical two-point closures. The main ideas underlying the derivation of the usual two-point closures are reviewed. The Direct Interaction Approximation (DIA) and related closures, such as the Eddy-Damped Quasi Normal Markovian (EDQNM) model or the Closure Based on Fluid Particle Displacements (CBFPD), are briefly presented. Particular emphasis is given to the application of closures to high Reynolds number turbulence. The relations between two-point closures and other types of turbulence models, in particular subgrid models for Large-Eddy Simulations (LES), are discussed. It is stressed that two-point closures constitute useful tools to understand the interaction between large and small scales that is essential for the problem of subgrid modeling in LES.

Mots clés: Turbulence; Two-point closures; EDQNM

Domaines: Mécanique des fluides [physics.class-ph]

Jean-Pierre Bertoglio. Statistical modelling of turbulence and applications to Large-Eddy Simulation. 7th Int. Symp. on Adv. Fluid Inf., AFI/TFI-2007, Dec 2007, Sendai, Japan. ⟨hal-00241155⟩