Calculation of quasi-one-dimensional flows with shocks

The two-point subsonic method of Wornom (1983) is modified to permit calculation of transonic flows with shocks using artificial density and/or artificial pressure. This method, which requires no numerical boundary conditions, is then used to calculate transonic flow for large and small CFL (Courant-Friedrichs-Lewy) numbers. Convergence acceleration is achieved for small CFL numbers by using multi-grid.