NUMERICAL PREDICTION OF SHOCK INDUCED OSCILLATIONS OVER A 2D AIRFOIL: INFLUENCE OF TURBULENCE MODELLING AND TEST SECTION WALLS

Abstract The present study deals with recent numerical results from on-going research conducted at ONERA/DMAE regarding the prediction of transonic flows, for which shock wave/boundary layer interaction is important. When this interaction is strong enough (M ⩾ 1.3), shock induced oscillations (SIO) appear at the suction side of the airfoil and lead to the formation of unsteady separated areas. The main issue is then to perform unsteady computations applying appropriate turbulence modelling and relevant boundary conditions with respect to the test case. Computations were performed with the ONERA elsA software and the URANS-type approach, closure relationships being achieved from transport-equation models. Applications are provided for the OAT15A airfoil data base, well documented for unsteady CFD validation (mean and r.m.s. pressure, phase-averaged LDA data, …). In this paper, the capabilities of turbulence models are evaluated with two 2D URANS strategies, under free-stream or confined conditions. The latter takes into account the adaptive upper and lower wind-tunnel walls. A complete 3D URANS simulation was then performed to demonstrate the real impact of all lateral wind-tunnel walls on such a flow.

[1]  Andrey Garbaruk,et al.  Numerical Study of Wind-Tunnel Walls Effects on Transonic Airfoil Flow , 2003 .

[2]  John A. Ekaterinaris,et al.  Computation of oscillating airfoil flows with one- and two-equation turbulence models , 1994 .

[3]  Eric Coustols,et al.  URANS Computations of Shock-Induced Oscillations Over 2D Rigid Airfoils: Influence of Test Section Geometry , 2005 .

[4]  Paul Kutler,et al.  Fifteenth International Conference on Numerical Methods in Fluid Dynamics : proceedings of the conference, held in Monterey, CA, USA, 24-28 June 1996 , 1997 .

[5]  B.H.K. Lee,et al.  Self-sustained shock oscillations on airfoils at transonic speeds , 2001 .

[6]  P. Spalart A One-Equation Turbulence Model for Aerodynamic Flows , 1992 .

[7]  B. Aupoix,et al.  Towards a calibration of the length-scale equation , 2000 .

[8]  A. Mignosi,et al.  Separated Flow and Buffeting Control , 2003 .

[9]  Ricardo A. Burdisso,et al.  Active control of fan noise from a turbofan engine , 1993 .

[10]  H. Bézard,et al.  Calibrating the Length Scale Equation with an Explicit Algebraic Reynolds Stress Constitutive Relation , 2005 .

[11]  L. Cambier,et al.  elsA - An efficient object-oriented solution to CFD complexity , 2002 .

[12]  Srinivasan Raghunathan,et al.  Prediction and control of periodic flows , 1997 .

[13]  F. Menter Two-equation eddy-viscosity turbulence models for engineering applications , 1994 .

[14]  George Huang,et al.  Turbulence modeling — Progress and future outlook , 1997 .