Solution of the Euler equations for transonic flow over a lifting aerofoil - The Bernoulli formulation (Roe/Lytton method) (Q1096491)

The author's method, updated from that of Sells, for solving the Euler equations governing steady inviscid supercritical flow past an aerofoil, is described. Roe's ``Superbee'' algorithm is incorporated into an explicit flux-difference-splitting, non-time-split sequence of one- dimensional spatial operators in local-timestep mode. Results are presented for a parametric study of one supercritical case, as a check on the consistency of the method. The ability of the method to compute the flow over a bump on a channel wall is demonstrated. Results from the computation of a supercritical flow with recirculation are also shown.