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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 9, Pages 1591–1604
DOI: https://doi.org/10.1134/S004446691909014X
(Mi zvmmf10957)
 

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

Numerical modeling of wave processes accompanying combustion of inhomogeneously distributed composite propellant

I. S. Menshovab, M. Yu. Nemtsevac, I. V. Semenovac

a Scientific Research Institute for System Analysis, Russian Academy of Sciences, Moscow, 117218 Russia
b Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047 Russia
c Institute for Computer Aided Design, Russian Academy of Sciences, Moscow, 123056 Russia
Citations (5)
References:
Abstract: A mathematical model and a numerical method are proposed for studying the interior ballistic process related to combustion of inhomogeneously distributed propellant in the two-dimensional axisymmetric approximation. The gas–propellant mixture is modeled by a two-phase nonequilibrium heterogeneous medium consisting of a multicomponent gas phase of combustion products and a polydisperse solid phase of propellant granules. The mathematical model of nonequilibrium two-phase flow is based on the nonconservative Euler equations. A Godunov-type scheme with an approximate Riemann solver is developed for their solution. The propellant combustion is considered taking into account the motion of the projectile, which is modelled using the free-boundary method. Results are represented concerning the origin and evolution of the interior ballistic wave process proceeding during the combustion of an inhomogeneously distributed propellant charge and the motion of the projectile. A comparative analysis with the case of static (nonmoving) propellant is carried out.
Key words: two-phase nonequilibrium heterogeneous mixture, interior ballistics, combustion of granular propellant.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00921_а
Russian Academy of Sciences - Federal Agency for Scientific Organizations AAAA-A19-119011590092-6
This study was supported in part by the Russian Foundation for Basic Research, project no. 18-01-00921a. This work was carried out in part under the state task of the Scientific Research Institute for System Analysis of the Russian Academy of Sciences (basic scientific research GP 14), subject no. 0065-2019-0005 “Mathematical Modeling of Dynamic Processes in Deformable and Reacting Media on Multiprocessor Computer Systems” (project no.В AAAA-A19-119011590092-6).
Received: 14.05.2019
Revised: 14.05.2019
Accepted: 15.05.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 9, Pages 1528–1541
DOI: https://doi.org/10.1134/S0965542519090148
Bibliographic databases:
Document Type: Article
UDC: 519.63:531.57
Language: Russian
Citation: I. S. Menshov, M. Yu. Nemtsev, I. V. Semenov, “Numerical modeling of wave processes accompanying combustion of inhomogeneously distributed composite propellant”, Zh. Vychisl. Mat. Mat. Fiz., 59:9 (2019), 1591–1604; Comput. Math. Math. Phys., 59:9 (2019), 1528–1541
Citation in format AMSBIB
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  • 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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    Abstract page:140
    References:19
     
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