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On Some Finite Difference Scheme for Gas Dynamics Equations

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Moscow University Mathematics Bulletin Aims and scope

Abstract

A conservative difference scheme with linear dependence of the pressure on the density of gas is proposed for gas dynamics equations. The scheme allows us to simulate 1-D flows inside a cylindrical domain with time-variable cross-sections and guarantees the positive sign of the density function.

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References

  1. M. H. Chaudhry, Applied Hydraulic Transients. 3d ed. (Springer-Verlag, N.Y., 2008).

    Google Scholar 

  2. D. A. Foks, Hydraulic Analysis of Unsteady Flows in Pipelines (Energoizdat, Moscow, 1981) [in Russian].

    Google Scholar 

  3. G. M. Kobelkov and A. G. Sokolov, “On One Implicit Scheme for Barotropic Gas Equations,” Chebyshevskii Sbornik 18 (3), 271 (2017).

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  4. F. B. Imranov, G. M. Kobelkov, and A. G. Sokolov, “On Difference Scheme for Barotropic Gas Equations,” Doklady Russ. Akad. Nauk 478 (4), 388 (2018).

    Google Scholar 

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    A. V. Zvyagin, G. M. Kobelkov & M. A. Lozhnikov

Authors
  1. A. V. Zvyagin
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  2. G. M. Kobelkov
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  3. M. A. Lozhnikov
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Corresponding author

Correspondence to A. V. Zvyagin.

Additional information

Original Russian Text © A.V. Zvyagin, G.M. Kobelkov, and M.A. Lozhnikov, 2018, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2018, Vol. 73, No. 4, pp. 15–22.

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Zvyagin, A.V., Kobelkov, G.M. & Lozhnikov, M.A. On Some Finite Difference Scheme for Gas Dynamics Equations. Moscow Univ. Math. Bull. 73, 143–149 (2018). https://doi.org/10.3103/S0027132218040034

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  • DOI: https://doi.org/10.3103/S0027132218040034

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