Geodesic
Comparison for different gas flow models within the broad range of Knudsen numbers
Matematičeskoe modelirovanie, Tome 16 (2004) no. 8, pp. 77-93.

Voir la notice de l'article provenant de la source Math-Net.Ru

A number of physical and mathematical models are considered, which use different levels for describing gas medium dynamics: kinetic, hydrodynamic (continuum model) and the level of moment equations. Several new models of hydrodynamic and moment levels are proposed. These models are analyzed on the basis of examples of degenerate flows within the Knudsen number range of $10^{-3}\dots10^{+3}$ from the point of view of their application for solving practical problems, associated with the variation of gas density within the broad gas density range. Kinetic S-model was used as a basis for the comparison of calculation results. Calculation results showed that the model of hydrodynamic level with corrected tensions, heat flows and boundary conditions secures gas medium parameters being the most close to the kinetic values. 
@article{MM_2004_16_8_a6,
     author = {Yu. A. Nikitchenko},
     title = {Comparison for different gas flow models within the broad range of {Knudsen} numbers},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {77--93},
     publisher = {mathdoc},
     volume = {16},
     number = {8},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2004_16_8_a6/}
}
TY  - JOUR
AU  - Yu. A. Nikitchenko
TI  - Comparison for different gas flow models within the broad range of Knudsen numbers
JO  - Matematičeskoe modelirovanie
PY  - 2004
SP  - 77
EP  - 93
VL  - 16
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2004_16_8_a6/
LA  - ru
ID  - MM_2004_16_8_a6
ER  - 
%0 Journal Article
%A Yu. A. Nikitchenko
%T Comparison for different gas flow models within the broad range of Knudsen numbers
%J Matematičeskoe modelirovanie
%D 2004
%P 77-93
%V 16
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2004_16_8_a6/
%G ru
%F MM_2004_16_8_a6
Yu. A. Nikitchenko. Comparison for different gas flow models within the broad range of Knudsen numbers. Matematičeskoe modelirovanie, Tome 16 (2004) no. 8, pp. 77-93. http://geodesic.mathdoc.fr/item/MM_2004_16_8_a6/

[1] Kogan M. N., Dinamika razrezhennogo gaza, Nauka, M., 1967, 440 pp.

[2] Tamm I. E., Trudy Fizicheskogo instituta im. Lebedeva AN SSSR, 1965, no. 29

[3] Liu C. Y., Lees L., “Kinetic theory description of plane compressible flow”, Rarefied gas dynamics, Acad. Press, N.Y., 1961 | MR | Zbl

[4] Nikitchenko Yu. L., “Model techeniya gaza vblizi poverkhnosti razdela sred”, Matematicheskoe modelirovanie, 15:8 (2003), 88–98 | Zbl

[5] Shakhov E. M., Metod issledovaniya dvizhenii razrezhennogo gaza, VTs AN SSSR, M., 1975, 207 pp.

[6] Fletcher K., Vychislitelnye metody v dinamike zhidkostei, t. 1, Mir, M., 1991, 502 pp.