Sensitivity gradients of surface geometry modifications based on stability analysis of compressible flows

A discrete framework to calculate eigenvalue sensitivity gradients to geometrical changes is introduced and applied to the compressible Navier-Stokes equations. The novel formulation is used to control global instabilities in compressible turbulent flow scenarios, modeled through Reynolds-averaged Navier-Stokes approaches. The sensitivity gradients are exploited to include local surface deformations that delay or enhance the onset of instabilities and can modify their associated frequency.