Numerical Investigation of the Passive Shock Control on Transonic Airfoils through an Euler/Boundary-Layer Coupling Technique

Abstract

The present work reports the overall research activity conducted by CIRA within Task 2 of the EUROSHOCK project. The main objective of the activity was to extend the computational capability for the calculation of the transonic viscous flow about airfoils to the simulation of the shock-boundary layer interaction control and to validate it through comparison with the experiments. The method is based on the semi-inverse coupling of Euler equations with integral boundary-layer equations, the latter modified to take the transpiration velocity due to the control into account. In order to simulate the passive control mechanism in the shock region, different models for the calculation of the transpiration velocity in the cavity region of the airfoil surface have been implemented and tested through correlation with experiments performed in Tasks 1 and 3. As far as the effect of passive control on the aerodynamic characteristics of airfoils is concerned, the numerical investigation performed with the present method on the airfoils considered in the project has confirmed the main results of the experiments and of other numerical analyses.