A weakly nonlinear framework to study shock–vorticity interaction

Linear interaction analysis (LIA) is routinely used to study the shock–turbulence in supersonic and hypersonic flows. It based on inviscid of elementary Kovásznay modes with a shock discontinuity. LIA neglects nonlinear effects, hence it limited small-amplitude disturbances. In this work, we extend framework fundamental two-dimensional vorticity wave normal shock. The predictions from weakly are compared high-order accurate numerical simulations over range amplitudes ( $\epsilon$ ), incidence angles $\alpha$ ) shock-upstream Mach numbers $M_1$ ). found that generation at has significant contribution intermodal between acoustic waves. Vorticity also strongly influenced by curvature wave, especially for high angles. Further, able predict correct scaling effects observed simulations. predicts number dependent limit validity terms maximum possible amplitude upstream wave.