On Some Finite Difference Scheme for Gas Dynamics Equations / A. V. Zvyagin, G. M. Kobelkov, and M. A. Lozhnikov. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2018. № 4. P. 15-22 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 143-149].
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.
Key words: gas dynamics, conservative difference schemes, variable boundary, positive density.