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One-velocity model of a heterogeneous medium with a hyperbolic adiabatic kernel

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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.

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Authors and Affiliations

  1. Chelyabinsk State University, ul. Brat’ev Kashirinykh 129, Chelyabinsk, 454021, Russia

    V. S. Surov

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  1. V. S. Surov
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Correspondence to V. S. Surov.

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Original Russian Text © V.S. Surov, 2008, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2008, Vol. 48, No. 6, pp. 1111–1125.

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Surov, V.S. One-velocity model of a heterogeneous medium with a hyperbolic adiabatic kernel. Comput. Math. and Math. Phys. 48, 1048–1062 (2008). https://doi.org/10.1134/S0965542508060146

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  • DOI: https://doi.org/10.1134/S0965542508060146

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