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Numerical and Analytical Modeling of One Gas-Suspension Problem

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Journal of Engineering Physics and Thermophysics Aims and scope

In the present paper, the authors have given nonsteady and numerical solutions to a certain initial boundary-value problem for dynamics equations of a two-phase two-velocity medium (Kh. A. Rakhmatulin′s model). To this end, a numerical method of the TVD type was developed and relevant testing calculations were carried out. A comparison of the calculation data and the analytical solution has been given. The comparison results have shown their satisfactory agreement, i.e., the effectiveness of the numerical scheme. The domain of hyperbolicity of the model under study on this solution has been found.

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Authors and Affiliations

  1. S. A. Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch of the Russian Academy of Sciences, 4/1 Institutskaya Str, Novosibirsk, 630090, Russia

    A. V. Fedorov & D. A. Tropin

  2. Chelyabinsk State University, 129 Brat’ev Kashirinykh Str, Chelyabinsk, 454001, Russia

    A. V. Panov

Authors
  1. A. V. Fedorov
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  2. D. A. Tropin
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  3. A. V. Panov
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Corresponding author

Correspondence to D. A. Tropin.

Additional information

A. V. Fedorov is deceased

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 92, No. 2, pp. 430–440, March–April, 2019.

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Fedorov, A.V., Tropin, D.A. & Panov, A.V. Numerical and Analytical Modeling of One Gas-Suspension Problem. J Eng Phys Thermophy 92, 414–423 (2019). https://doi.org/10.1007/s10891-019-01946-2

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  • DOI: https://doi.org/10.1007/s10891-019-01946-2

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