A Computational Approach to Swept Leading-Edge Receptivity

Computational techniques developed to simulate receptivity mechanisms near a swept-wing leadingedge are presented. The method is based on hybrid finite-difference and spectral approximations to the compressible Navier–Stokes equations in a generalized coordinate system. Particular attention is paid to boundary treatments in an effort to reduce the generation of spurious waves which can mask the physical receptivity mechanisms. Model problems verifying the accuracy of the method are presented, including Tollmien–Schlichting waves in a parallel boundary layer and acoustic scattering from a circular cylinder. Mean flow and receptivity results for a flat plate with super-ellipse leading edge at M = 0.1 are presented and compare favorably to previous incompressible calculations. Results for the same geometry are also obtained at M = 0.8 and show a significant increase in instability.