Geodesic
On a method of solution for one-dimensional stationary gas dynamics equations
Matematičeskoe modelirovanie, Tome 15 (2003) no. 11, pp. 30-36

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An area is considered in which there is the single point with $\mathrm M=1$ and $\mathrm M$ increases monotonically from subsonic to supersonic values. A function with the single minimum at the point $\mathrm M=1$ is introduced. The iterative method is based on search minimum of this function. The calculations have shown good agreement with the results for two-phase flow in a Laval nozzle obtained by the pseudotransient method and with the exact solution for a constant section channel. 
@article{MM_2003_15_11_a2,
     author = {V. M. Galkin},
     title = {On a method of solution for one-dimensional stationary gas dynamics equations},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {30--36},
     publisher = {mathdoc},
     volume = {15},
     number = {11},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2003_15_11_a2/}
}
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V. M. Galkin. On a method of solution for one-dimensional stationary gas dynamics equations. Matematičeskoe modelirovanie, Tome 15 (2003) no. 11, pp. 30-36. http://geodesic.mathdoc.fr/item/MM_2003_15_11_a2/