Wavy wall solutions of the Euler equations

In the present solutions for subsonic and transonic flows past a wavy wall, results for the numerical evaluation of the former case indicate the Euler flow to be periodic, comparing well with the classic small perturbation solution. The transonic results show that the solution consists of a series of shocks which progressively weaken with flow over successive wave crests, until stagnation pressure loss is sufficient to yield waves with a single sonic point; from this point, the solution appears to be periodic in space. (O.C.)