Direct numerical simulation of impinging shock wave and turbulent boundary layer interaction over a wavy-wall

The interaction of an impinging oblique shock wave with angle 30° and a supersonic turbulent boundary layer at Ma?=2.9 Re? = 2400 over wavy-wall is investigated through direct numerical simulation compared the on flat-plate under same flow conditions. A sinusoidal amplitude to wavelength ratio 0.26 moves in streamwise direction uniformly distributed across spanwise direction. influences interaction, including characterization field, skin-friction, pressure budget turbulence kinetic energy, are systematically studied. region separation grows slightly decomposes into four bubbles. Local peaks skin-friction observed rear part region. low-frequency motion can be seen wall spectra. Analyses energy indicate that both diffusion transport significantly increase near crests, balanced by amplified dissipation near-wall Proper orthogonal decomposition analyses show most energetic structures associated separated shear Only bubbles first two troughs dominated enlargement or shrinkage.