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SIMULATION OF THE RESONANT INTERACTIONS BETWEEN A BOUNDARY LAYER AND AN ARRAY OF DEEP CAVITIES

Grigory Shelekhov
DAEP, ISAE-SUPAERO 10 av. Edouard Belin, Toulouse

Julien Bodart
Université de Toulouse, Institut Supérieur de l'Aéronautique et de l'Espace (ISAE) BP 54032 - 31055 TOULOUSE Cedex 4,France; Center for Turbulence Research Stanford University, Stanford, CA 94305, USA

Laurent Joly
Department of Aerodynamics and Propulsion (DAEP) ISAE-SUPAERO, University of Toulouse 10 Avenue Edouard Belin, 31055 Toulouse, France

Resumo

We have performed numerical simulations of the interaction between a laminar boundary layer flow and an array of deep slit-aperture cavities solving fully compressible Navier-Stockes equations with a finite-volume solver CharLESX . The cavities are included in the computational domain which allows to study the full interaction i.e. the excitation mechanism of the liner and its acoustic response. The parameter space is explored by varying the cavity depth D, thus shifting the cavity resonant modes ƒr,m = (2m−1)c/4D, where m is a positive integer. Four cases, with varying cavity depth were studied. In all cases, the coupling of the grazing shear layer instabilities to the acoustic standing waves inside cavities (resonant interaction) leads to the generation of large Kelvin-Helmholtz (KH) rollers, scaling as λKH = Ucr,1. In some cases, this coupling leads to the excitation of m > 1 resonant modes in the upstream cavities. However vortex merge occurring over the cavities switches the mode m = 1 further downstream. Overall, the results suggest that an array of deep cavities has a promising potential application for passive flow control.