Geodesic
On some finite difference scheme for gas dynamics equations
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2018), pp. 15-22 
A. V. Zvyagin; G. M. Kobel'kov; M. A. Lozhnikov. On some finite difference scheme for gas dynamics equations. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2018), pp. 15-22. http://geodesic.mathdoc.fr/item/VMUMM_2018_4_a2/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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 guarantee the positive sign of the density function.

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

[2] Foks D.A., Gidravlicheskii analiz neustanovivshikhsya techenii v truboprovodakh, Energoizdat, M., 1981

[3] Kobelkov G.M., Sokolov A.G., “Ob odnoi neyavnoi raznostnoi skheme dlya uravnenii barotropnogo gaza”, Chebyshëvskii sbornik, 18:3 (2017), 306–317

[4] Imranov F. B., Kobelkov G. M., Sokolov A. G., “O raznostnoi skheme dlya uravnenii barotropnogo gaza”, Dokl. RAN, 478:4 (2018), 388–391 | DOI | Zbl