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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M. H. Chaudhry, Applied Hydraulic Transients. 3d ed. (Springer-Verlag, N.Y., 2008).
D. A. Foks, Hydraulic Analysis of Unsteady Flows in Pipelines (Energoizdat, Moscow, 1981) [in Russian].
G. M. Kobelkov and A. G. Sokolov, “On One Implicit Scheme for Barotropic Gas Equations,” Chebyshevskii Sbornik 18 (3), 271 (2017).
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).
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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