Two complementary approaches to transonic potential flow about oscillating airfoils

Two-Dimensional Transonic Aeroelastic Analysis Using Thin-Layer Navier–stokes Method

“…This case reveals strong nonlinearities, since a strong shock is involved and the shock trajectory is significant. Results of the present method are compared with those of TULIPS, a full-potential flow method of Schippers (1988), an extended version of this method of Westland & Hounjet (1993) and an Euler method of DLR. The extended TULIPS method employs the Clebsch potential with entropy and vorticity corrections for the modeling of strong shock waves.…”

Time-linearised transonic computations including entropy, vorticity and shock wave motion effects

“…The second modification involves a procedure, which we have referred to as the shock jump correction procedure (Ly and Gear (2) ), that allows one to include the shock wave motion effects by correcting the solution values behind the shock wave, such that the time-linearised form of the shock jump condition will be satisfied. For the past three decades, time-linearised equations were solved in the frequency domain by numerous researchers, including the earliest attempt by Traci et al (7,8) , followed by Schippers and Hounjet (9) , Hounjet (10) , and most recently by Greco et al (11) , utilising a variety of computational methods of different levels of complexity, where the shock wave is assumed stationary throughout the time of the aerofoil motion. In general, their results compared reasonably with the experimental data, except in the regions where shock wave motion is anticipated.…”