A. V. Zvyagin, G. M. Kobel'kov, M. A. Lozhnikov, “On some finite difference scheme for gas dynamics equations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2018, Number 4,Pages <nobr>15

This article is cited in 1 paper

Mathematics

On some finite difference scheme for gas dynamics equations

A. V. Zvyagin^a, G. M. Kobel'kov^ab, M. A. Lozhnikov^a

^a Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b Institute of Numerical Mathematics of the Russian Academy of Sciences, Moscow

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 guarantee the positive sign of the density function.

Key words: gas dynamics, conservative difference schemes, variable boundary, positive density.

UDC: 519.6

Received: 22.10.2017