Geodesic
A method of numerical study of one-dimensional flows for gas mixtures
Matematičeskoe modelirovanie, Tome 14 (2002) no. 8, pp. 102-106.

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The conservative discrete ordinate method for a single gas was generalized for a binary gas mixture and for the case of cylindrical symmetry in momentum space. The method was tested on the one-dimensional problem of the shock wave structure in the binary gas mixture. 
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A. A. Raines. A method of numerical study of one-dimensional flows for gas mixtures. Matematičeskoe modelirovanie, Tome 14 (2002) no. 8, pp. 102-106. http://geodesic.mathdoc.fr/item/MM_2002_14_8_a18/

[1] Boris J. P., Book D. L., “Flux-corrected transport”, J. Comp. Phys., 11 (1973), 38–69 | DOI | Zbl

[2] Tcheremissine F. G., “Conservative evaluation of Boltzmann collision integral in discrete ordinates approximation”, Computers Math. Applic, 35 (1998), 215–221 | DOI | MR | Zbl

[3] Korobov N. M., Trigonometric sums and their applications, Mir, M., 1989 | MR

[4] Kosuge S., Aoki K., Takata S., “Shock-wave structure for a binary gas mixture: finite-difference analysis of the Boltzmann equation for hard sphere molecules”, Eur. J. Mech. B Fluids, 20 (2001), 87–126 | DOI | Zbl