Geodesic
Kinetically-consistent finite difference schemes as a~model for the flows of slightly rarefied gases
Matematičeskoe modelirovanie, Tome 5 (1993) no. 5, pp. 61-70.

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In this paper finite difference kinetic models for a single-particle distribution function are developed, basing on the usage of piecewise constant distribution function. The possibility of applying these models to simulation of slightly rarefied gas flows with Knudsen number of about 0.01 is also substantiated. 
@article{MM_1993_5_5_a2,
     author = {I. V. Abalakin and B. N. Chetverushkin},
     title = {Kinetically-consistent finite difference schemes as a~model for the flows of slightly rarefied gases},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {61--70},
     publisher = {mathdoc},
     volume = {5},
     number = {5},
     year = {1993},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1993_5_5_a2/}
}
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I. V. Abalakin; B. N. Chetverushkin. Kinetically-consistent finite difference schemes as a~model for the flows of slightly rarefied gases. Matematičeskoe modelirovanie, Tome 5 (1993) no. 5, pp. 61-70. http://geodesic.mathdoc.fr/item/MM_1993_5_5_a2/