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Zh. Vychisl. Mat. Mat. Fiz.:

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Zh. Vychisl. Mat. Mat. Fiz., 2016, Volume 56, Number 6, Pages 1122–1137 (Mi zvmmf10404)  

This article is cited in 2 scientific papers (total in 2 papers)

Numerical simulation of spinning detonation in circular section channels

V. A. Levin, I. S. Manuylovich, V. V. Markov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: Numerical simulation of three-dimensional structures of gas detonation in circular section channels that emerge due to the instability when the one-dimensional flow is initiated by energy supply at the closed end of the channel is performed. It is found that in channels with a large diameter, an irregular three-dimensional cellular detonation structure is formed. Furthermore, it is found that in channels with a small diameter circular section, the initially plane detonation wave is spontaneously transformed into a spinning detonation wave, while passing through four phases. A critical value of the channel diameter that divides the regimes with the three-dimensional cellular detonation and spinning detonation is determined. The stability of the spinning detonation wave under perturbations occurring when the wave passes into a channel with a greater (a smaller) diameter is investigated. It is found that the spin is preserved if the diameter of the next channel (into which the wave passes) is smaller (respectively, greater) than a certain critical value. The computations were performed on the Lomonosov supercomputer using from 0.1 to 10 billions of computational cells. All the computations of the cellular and spinning detonation were performed in the whole long three-dimensional channel (up to 1 m long) rather than only in its part containing the detonation wave; this made it possible to adequately simulate and investigate the features of the transformation of the detonation structure in the process of its propagation.

Key words: spinning detonation, cellular detonation, three-dimensional channel, numerical simulation, program package, supercomputer, numerical solution, Euler system of equations.

Funding Agency Grant Number
Russian Science Foundation 14-50-00005


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English version:
Computational Mathematics and Mathematical Physics, 2016, 56:6, 1102–1117

Bibliographic databases:

Document Type: Article
UDC: 519.634
Received: 25.05.2015

Citation: V. A. Levin, I. S. Manuylovich, V. V. Markov, “Numerical simulation of spinning detonation in circular section channels”, Zh. Vychisl. Mat. Mat. Fiz., 56:6 (2016), 1122–1137; Comput. Math. Math. Phys., 56:6 (2016), 1102–1117

Citation in format AMSBIB
\by V.~A.~Levin, I.~S.~Manuylovich, V.~V.~Markov
\paper Numerical simulation of spinning detonation in circular section channels
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2016
\vol 56
\issue 6
\pages 1122--1137
\jour Comput. Math. Math. Phys.
\yr 2016
\vol 56
\issue 6
\pages 1102--1117

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    This publication is cited in the following articles:
    1. Lopato A., Utkin P., “Numerical Study of Detonation Wave Propagation in the Variable Cross-Section Channel Using Unstructured Computational Grids”, J. Combust., 2018, 3635797  crossref  isi
    2. V. A. Levin, I. S. Manuylovich, V. V. Markov, “Rotating detonation wave in an annular gap”, Proc. Steklov Inst. Math., 300 (2018), 126–136  mathnet  crossref  crossref  isi  elib
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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