On Some Finite Difference Scheme for Gas Dynamics Equations

On Some Finite Difference Scheme for Gas Dynamics Equations

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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Veröffentlicht in:Moscow University mathematics bulletin 2018-07, Vol.73 (4), p.143-149
Hauptverfasser: Zvyagin, A. V., Kobelkov, G. M., Lozhnikov, M. A.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Density
Finite difference method
Gas dynamics
Mathematical analysis
Mathematics
Mathematics and Statistics
Pressure dependence
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Beschreibung
Zusammenfassung: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.
ISSN:0027-1322
1934-8444
DOI:10.3103/S0027132218040034