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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 5, Pages 806–820
DOI: https://doi.org/10.7868/S0044466918050101
(Mi zvmmf10738)
 

This article is cited in 5 scientific papers (total in 5 papers)

Computation of traveling waves in a heterogeneous medium with two pressures and a gas equation of state depending on phase concentrations

I. A. Bedarev, A. V. Fedorov, A. V. Shul'gin

Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
Citations (5)
References:
Abstract: A fine structure theory of shock waves occurring in a gas-particle mixture was developed using an Anderson-type model with allowance for different phase pressures and with an equation of state for the gas component depending on the mean densities of both phases. The conditions for the formation of various types of shock waves based on the different speeds of sound in the phases were indicated. A high-order accurate TVD scheme was developed to prove the stability of some types of shock waves. The scheme was used to implement steadily propagating shock waves found in the stationary approximation, namely, shock waves of dispersive, frozen, and dispersive-frozen structures with one or two fronts.
Key words: heterogeneous media with high particle concentrations, shock wave structure, numerical methods.
Funding agency Grant number
Russian Science Foundation 16-19-00010
Received: 29.03.2017
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 5, Pages 775–789
DOI: https://doi.org/10.1134/S0965542518050044
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: I. A. Bedarev, A. V. Fedorov, A. V. Shul'gin, “Computation of traveling waves in a heterogeneous medium with two pressures and a gas equation of state depending on phase concentrations”, Zh. Vychisl. Mat. Mat. Fiz., 58:5 (2018), 806–820; Comput. Math. Math. Phys., 58:5 (2018), 775–789
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/zvmmf/v58/i5/p806
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:41
     
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