Numerical investigation of wall-pressure fluctuations for Mach 2 turbulent shock-wave boundary layer interactions

Abstract

Implicit large-eddy simulations of Mach 2.05 turbulent boundary layer interactions with oblique impinging shock-waves were carried out for shock generator angles of 8° and 9°. Both the streamwise extent of the separated region and the intensity of the velocity fluctuations are augmented when the strength of the impinging oblique shock-wave is increased from 8° to 9°. Temporal Fourier transforms of the spanwise-averaged wall-pressure coefficient indicate low-frequency unsteadiness at separation and mid-frequency content downstream of reattachment. The wall-pressure fluctuations were analyzed with the proper orthogonal decomposition. The modal analysis reveals pronounced 3D low-frequency wall-pressure fluctuations for the stronger interaction. Overall, the present findings provide advanced perspectives on low-frequency wall-pressure fluctuations in turbulent shock-wave boundary layer interactions that may lead to spanwise non-uniformity of the separation and shedding with possible implications for the design of structural panels on high-speed vehicles.