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A Quasi-Gasdynamic Model for the Description of Magnetogasdynamic Phenomena

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Abstract

A kinetic model based on the use of a single-particle distribution function is used to describe dissipative magnetogasdynamic phenomena. Along with the original quasi-gasdynamic model, a simplified version that is more convenient for numerical implementation is considered and justified. Numerical results for a number of problems are presented.

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Notes

  1. Physically, this term appears due to smoothing the solution over the mean free path \(l\), which follows from the method of deriving the balance equation [7, 17, 18].

  2. Here, we do not consider cases where the QGD system yields results that are in better agreement with experimental data than the Navier–Stokes equations, for example, flows with moderate Knudsen numbers \(Kn \leqslant 0.1\) [7, 17, 20–22]. In that case, the complete QGD system (3.14)–(3.19) has to be used.

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ACKNOWLEDGMENTS

This work was supported by the Russian Science Foundation, grant no. 14-11-00170.

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Authors and Affiliations

  1. Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia

    B. N. Chetverushkin

  2. Immanuel Kant Baltic Federal University, 236041, Kaliningrad, Russia

    A. V. Saveliev & V. I. Saveliev

Authors
  1. B. N. Chetverushkin
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  2. A. V. Saveliev
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  3. V. I. Saveliev
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Correspondence to B. N. Chetverushkin, A. V. Saveliev or V. I. Saveliev.

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Translated by I. Ruzanova

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Chetverushkin, B.N., Saveliev, A.V. & Saveliev, V.I. A Quasi-Gasdynamic Model for the Description of Magnetogasdynamic Phenomena. Comput. Math. and Math. Phys. 58, 1384–1394 (2018). https://doi.org/10.1134/S0965542518080055

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