Geodesic
Using kinetically-consistent difference schemes for prediction of slightly rarefied gas flows
Matematičeskoe modelirovanie, Tome 4 (1992) no. 11, pp. 19-35.

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The problem under consideration in this paper is opportunity of application kinetically-consistent finite difference schemes for simulationflows with Knudsen number $\approx0.01$, when the truth (legality) of equationsof Euler or Navier–Stokes is under question. In the paper also disscused connection of using schemes with modification original kynetic model. 
@article{MM_1992_4_11_a1,
     author = {I. V. Abalakin and B. N. Chetverushkin},
     title = {Using kinetically-consistent difference schemes for prediction of slightly rarefied gas flows},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {19--35},
     publisher = {mathdoc},
     volume = {4},
     number = {11},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_1992_4_11_a1/}
}
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I. V. Abalakin; B. N. Chetverushkin. Using kinetically-consistent difference schemes for prediction of slightly rarefied gas flows. Matematičeskoe modelirovanie, Tome 4 (1992) no. 11, pp. 19-35. http://geodesic.mathdoc.fr/item/MM_1992_4_11_a1/