Towards Three-Dimensional Global Stability Analysis of Transonic Shock Buffet

Copyright © 2016 by S. Timme and R. Thormann. Published by the American Institute of Aeronautics and Astronautics, Inc. A numerical study of the flow over a half wing-body configuration representative of a large civil aircraft is presented. In particular, we are interested in predicting the onset of the shock buffet instability. Reynolds-averaged Navier-Stokes simulations using the one- equation Spalart-Allmaras turbulence model are considered. First, forced-motion, time- linearised analysis is performed to investigate the frequency response behaviour of aero- dynamic coefficients while approaching the buffet onset angle of attack. Secondly, global stability analysis with three inhomogeneous spatial directions is achieved for this realistic aircraft configuration in transonic turbulent flow with strong shock waves and boundary layer separation. The implicitly restarted Arnoldi method is applied, in conjunction with an advanced sparse iterative linear equation solver and an industrial computational fluids dynamics package, to calculate few eigenvalues of the complete fluid Jacobian matrix close to the origin of the complex plane for flow conditions near shock buffet onset.

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