Fast Euler solver for steady,one-dimensional flows

A numerical technique to solve the Euler equations for steady, one-dimensional flows is presented. The technique is essentially implicit, but is structured as a sequence of explicit solutions for each Riemann variable separately. Each solution is obtained by integrating in the direction prescribed by the propagation of the Riemann variables. The technique is second-order accurate. It requires very few steps for convergence, and each step requires a minimal number of operations. Therefore, it is three orders of magnitude more efficient than a standard time-dependent technique. The technique works well for transonic flows and provides shock fitting with errors as small as 0.001. Results are presented for subsonic and transonic problems. Errors are evaluated by comparison with exact solutions.