期刊
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS
卷 59, 期 11, 页码 1832-1847出版社
PLEIADES PUBLISHING INC
DOI: 10.1134/S0965542519110058
关键词
homogeneous binary mixture of compressible gases; regularized equations; entropy balance equation; Rayleigh-Taylor instability; computer simulation
Regularized equations for binary mixtures of viscous compressible gases (in the absence of chemical reactions) are considered. Two new simpler systems of equations are constructed for the case of a homogeneous mixture, when the velocities and temperatures of the components coincide. In the case of moderately rarefied gases, such a system is obtained by aggregating previously derived general equations for binary mixtures of polyatomic gases. In the case of relatively dense gases, the regularizing terms in these equations are subjected to a further substantial modification. For both cases, balance equations for the total mass, kinetic, and internal energy and new balance equations for total entropy are derived from the constructed equations; additionally, the entropy production is proved to be non-negative. As an example of successful use of the new equations, the two-dimensional Rayleigh-Taylor instability of relatively dense gas mixtures is numerically simulated in a wide range of Atwood numbers.
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