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Simulation of rarefied gas flows on the basis of the Boltzmann kinetic equation solved by applying a conservative projection method

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Abstract

Flows of a simple rarefied gas and gas mixtures are computed on the basis of the Boltzmann kinetic equation, which is solved by applying various versions of the conservative projection method, namely, a two-point method for a simple gas and gas mixtures with a small difference between the molecular masses and a multipoint method in the case of a large mass difference. Examples of steady and unsteady flows are computed in a wide range of Mach and Knudsen numbers.

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Authors and Affiliations

  1. Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia

    O. I. Dodulad, Yu. Yu. Kloss, F. G. Tcheremissine & P. V. Shuvalov

  2. National Research Center “Kurchatov Institute,”, pl. Kurchatova 1, Moscow, 123182, Russia

    O. I. Dodulad, Yu. Yu. Kloss & P. V. Shuvalov

  3. Parallels Research Ltd, Altuf’evskoe sh. 44, Moscow, 127566, Russia

    A. P. Potapov

  4. Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

    F. G. Tcheremissine

Authors
  1. O. I. Dodulad
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  2. Yu. Yu. Kloss
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  3. A. P. Potapov
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  4. F. G. Tcheremissine
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  5. P. V. Shuvalov
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Correspondence to O. I. Dodulad.

Additional information

Dedicated to the memory of O.M. Belotserkovskii

Original Russian Text © O.I. Dodulad, Yu.Yu. Kloss, A.P. Potapov, F.G. Tcheremissine, P.V. Shuvalov, 2016, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2016, Vol. 56, No. 6, pp. 1008–1024.

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Dodulad, O.I., Kloss, Y.Y., Potapov, A.P. et al. Simulation of rarefied gas flows on the basis of the Boltzmann kinetic equation solved by applying a conservative projection method. Comput. Math. and Math. Phys. 56, 996–1011 (2016). https://doi.org/10.1134/S0965542516060117

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  • DOI: https://doi.org/10.1134/S0965542516060117

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