SPECTRAL SOLUTION OF INVISCID SUPERSONIC FLOWS OVER WEDGES AND AXISYMMETRICAL CONES

We use a shock-fitted multidomain spectral collocation method to solve both steady and unsteady inviscid supersonic flows over bodies. New aspects of the method include two subdomain interface types and a zonal solution procedure to get efficient convergence to steady-state in supersonic regions. Steady-state examples include flow over a sharp cone, a hyperbolic cone and a hyperbolic wedge. For the cone, the exact flow solution is used to show that the method is spectrally accurate. As an example of an unsteady flow, we present a calculation of the interaction of free-stream hot ring with the flow over a sharp cone.