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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2013, Volume 6, Issue 1, Pages 72–84
(Mi vyuru34)
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Mathematical Modelling
The New Hyperbolic Models of Heterogeneous Environments
V. S. Surov, I. V. Berezansky South Ural State University, Chelyabinsk, Russian Federation
Abstract:
Invention mathematically and physically correct models multiphase environment is an important problem, since many of the available models of heterogeneous environment are not such. In this paper, for multi-component environment offers two new models - single- and multi-velocity approximations. The models are based on the laws of conservation. Viscous and heat-conducting properties of the mixture are considered. For the described models is constructed automodels solution kind of traveling wave. On the example of a binary mixture have done of calculations for single- and multi-velocity approximations. It is shown that, if the use of the relaxation of the laws for the dissipative processes then the system of equations are hyperbolic.
Keywords:
multicomponent viscous heat-conducting mixture, singlevelocity and multivelocity multicomponent medium, hyperbolic systems of partial differential equations, automodel solutions.
Received: 21.11.2012
Citation:
V. S. Surov, I. V. Berezansky, “The New Hyperbolic Models of Heterogeneous Environments”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 6:1 (2013), 72–84
Linking options:
https://www.mathnet.ru/eng/vyuru34 https://www.mathnet.ru/eng/vyuru/v6/i1/p72
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Abstract page: | 197 | Full-text PDF : | 110 | References: | 48 | First page: | 2 |
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