Geodesic
Discrete velocity models of Boltzmann equation for mixtures
Matematičeskoe modelirovanie, Tome 12 (2000) no. 7, pp. 18-22.

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In the present paper nontrivial discrete velocity models without spurious invariants, or so called normal models, for two-species mixtures with elastic scattering are proposed. The corresponding equations are derived. Some of proposed models are the minimal ones in a certain class. 
@article{MM_2000_12_7_a3,
     author = {V. V. Vedenyapin and S. A. Amosov and L. Toscano},
     title = {Discrete velocity models of {Boltzmann} equation for mixtures},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {18--22},
     publisher = {mathdoc},
     volume = {12},
     number = {7},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2000_12_7_a3/}
}
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V. V. Vedenyapin; S. A. Amosov; L. Toscano. Discrete velocity models of Boltzmann equation for mixtures. Matematičeskoe modelirovanie, Tome 12 (2000) no. 7, pp. 18-22. http://geodesic.mathdoc.fr/item/MM_2000_12_7_a3/