Detached Eddy Simulations of an Incident Shock-Induced Separation

The numerical investigation of an incident shock wave turbulent boundary layer interaction at \(M_\infty \) = 2.3 is carried out using Reynolds-averaged Navier-Stokes (RANS) and detached eddy simulations (DES) in a finite difference-based in-house solver. A successfully validated \(k-\omega \) RANS model is used to obtain mean flow properties. Further \(k-\omega \) model is extended to DES and adaptive DES models to predict the unsteadiness associated with shock motion. For a 2-dimensional grid, it is observed that RANS simulations qualitatively captured all the important mean flow features such as incident shock, separation shock, separation bubble, reflected shock, etc., but overestimated the separation length by \(11\%\) compared to existing experimental results and failed to capture the shock unsteadiness. It is also noticed that all kinds of detached eddy simulations produced a continuously enlarging separation bubble for a 2-dimensional grid. An adaptive DES simulation captures wiggles on the outer regions of the boundary layer, which were insignificant in conventional DES. A 3-dimensional adaptive DES simulation (with a span of \(0.7\delta _0\) ) results in shock structure and separation zone similar to 2-dimensional adaptive DES, but showed a vortex break-down in the separation region and stronger wiggles in the outer shear layer region at \(t = 2.0\,ms\) .