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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 6, Pages 1111–1125
(Mi zvmmf4583)
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This article is cited in 23 scientific papers (total in 23 papers)
One-velocity model of a heterogeneous medium with a hyperbolic adiabatic kernel
V. S. Surov Chelyabinsk State University, ul. Brat'ev Kashirinykh 129, Chelyabinsk, 454021, Russia
Abstract:
The one-velocity model equations for a heterogeneous medium are presented that take into account the internal forces of interfractional interactions and heat and mass exchange. The shock adiabat obtained for the mixture agrees with the one-velocity model equations. For one-dimensional unsteady adiabatic flows, the characteristic equations are found and relations along characteristic directions are determined. It is shown that the model equations with allowance for interfractional interaction forces are hyperbolic. Several finite-difference and finite-volume schemes designed for integrating the model equations are discussed.
Key words:
one-velocity model equations for a heterogeneous medium, hyperbolic equations, finite-difference method, finite-volume method, Riemann problem for multicomponent mixture.
Received: 06.07.2007 Revised: 14.11.2007
Citation:
V. S. Surov, “One-velocity model of a heterogeneous medium with a hyperbolic adiabatic kernel”, Zh. Vychisl. Mat. Mat. Fiz., 48:6 (2008), 1111–1125; Comput. Math. Math. Phys., 48:6 (2008), 1048–1062
Linking options:
https://www.mathnet.ru/eng/zvmmf4583 https://www.mathnet.ru/eng/zvmmf/v48/i6/p1111
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Abstract page: | 356 | Full-text PDF : | 144 | References: | 43 | First page: | 3 |
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