Geodesic
Nonlinear nonequilibrium kinetic model of the Boltzmann equation for monatomic gases
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 11, pp. 2084-2095

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A model kinetic equation approximating the Boltzmann equation in a wide range of nonequilibrium gas states was constructed to describe rarefied gas flows. The kinetic model was based on a distribution function depending on the absolute velocity of the gas particles. Highly efficient in numerical computations, the model kinetic equation was used to compute a shock wave structure. The numerical results were compared with experimental data for argon. 
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     author = {I. N. Larina and V. A. Rykov},
     title = {Nonlinear nonequilibrium kinetic model of the {Boltzmann} equation for monatomic gases},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {2084--2095},
     publisher = {mathdoc},
     volume = {51},
     number = {11},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_11_a11/}
}
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I. N. Larina; V. A. Rykov. Nonlinear nonequilibrium kinetic model of the Boltzmann equation for monatomic gases. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 51 (2011) no. 11, pp. 2084-2095. http://geodesic.mathdoc.fr/item/ZVMMF_2011_51_11_a11/