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A-PRIORI VALIDATION OF EDDY VISCOSITY SUBGRID-SCALE MODELS FOR WALL BOUNDED TURBULENCE WITH PRESSURE GRADIENT

C. Li
ECLille, LML, F-59650 Villeneuve d'Ascq, France, Univ Lille Nord de France, F-59000 Lille, France

Jean-Philippe Laval
CNRS, UMR8107, F-59650 Villeneuve d'Ascq, France, Univ Lille Nord de France, F-59000 Lille, France

Michel Stanislas
Laboratoire de Mécanique de Lille, UMR CNRS 8107 Bv Paul Langevin, Cité Scientifique F-59655 Villeneuve d'Ascq, France; Laboratory for Turbulence Research in Aerospace and Combustion (LTRAC) Monash University, VIC 3800 Australia

Résumé

In the present work, the a priori analysis of three sub-grid scale models is conducted using a database of Direct Numerical Simulation (DNS) of converging-diverging channel flow at Reynolds number Reτ = 617 based on friction velocity at inlet. In addition to the Gaussian filter, a Least Square Spline filter of fifth order (Lss-5th) is used to investigate both the effects of filter scale and filter type on the energy transfer between sub-filter and resolved scales and the subgrid scales (SGS) energy dissipation. Then, a priori estimates of the coefficients of three subgrid scale models are computed on the full computational domain subjected to both favorable and adverse pressure gradients. The coefficients of the models are found to be sensitive to the sudden production of turbulent kinetic energy observed in near wall adverse pressure gradient (APG) region.