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Matem. Mod., 2013, Volume 25, Number 8, Pages 33–50 (Mi mm3408)  

This article is cited in 4 scientific papers (total in 4 papers)

Shock wave reflection from the axis of symmetry in a nonuniform flow with the formation of a circulatory flow zone

O. B. Bocharovaa, M. G. Lebedeva, I. V. Popovb, V. V. Sitnika, I. V. Fryazinovb

a Lomonosov Moscow State University, Dept. of Computational Mathematics and Cybernetics
b Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences, Moscow

Abstract: Two supersonic axisymmetric flows, in which the incidence of a shock wave on the axis of symmetry leads to the formation of return (circulatory) flow zones, are numerically modeled. The first flow is of the wake type with a ram pressure deficit in the vicinity of the axis of symmetry. The numerical results obtained are in qualitative and quantitative agreement with the available experimental data. The second flow is generated by a hypersonic spherically-symmetric source placed on the axis of a cylindrical channel. An analysis of the solutions obtained, together with their comparison with the literature data, suggests that the formation of the above-mentioned circulatory flow zones is physical, rather than computational, in nature. There is also reason to believe that the phenomenon under consideration is hydrodynamic, rather than dissipative, in nature.

Keywords: gas dynamics, shock wave reflection from an axis of symmetry, circulatory zones, method of adaptive artificial viscosity, Godunov method.

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English version:
Mathematical Models and Computer Simulations, 2014, 6:2, 142–154

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Received: 27.06.2012

Citation: O. B. Bocharova, M. G. Lebedev, I. V. Popov, V. V. Sitnik, I. V. Fryazinov, “Shock wave reflection from the axis of symmetry in a nonuniform flow with the formation of a circulatory flow zone”, Matem. Mod., 25:8 (2013), 33–50; Math. Models Comput. Simul., 6:2 (2014), 142–154

Citation in format AMSBIB
\by O.~B.~Bocharova, M.~G.~Lebedev, I.~V.~Popov, V.~V.~Sitnik, I.~V.~Fryazinov
\paper Shock wave reflection from the axis of symmetry in a nonuniform flow with the formation of a circulatory flow zone
\jour Matem. Mod.
\yr 2013
\vol 25
\issue 8
\pages 33--50
\jour Math. Models Comput. Simul.
\yr 2014
\vol 6
\issue 2
\pages 142--154

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    This publication is cited in the following articles:
    1. O. V. Bocharova, “Modelirovanie protsessa avtokolebanii v sverkhzvukovoi strue, natekayuschei na trubku Gartmana”, Matem. modelirovanie, 25:9 (2013), 75–84  mathnet  mathscinet
    2. Zapryagaev V.I., Boiko V.M., Kavun I.N., Kiselev N.P., Pivovarov A.A., “Flow Structure Behind the Mach Disk in Supersonic Non-Isobaric Jet”, International Conference on the Methods of Aerophysical Research (ICMAR 2016), AIP Conference Proceedings, 1770, ed. Fomin V., Amer Inst Physics, 2016, 030029  crossref  isi  scopus
    3. A. V. Savin, E. I. Sokolov, “Conditions for the appearance of boundary-free circulation zones in supersonic axisymmetric accelerating flows”, Eighth Polyakhov's Reading, AIP Conf. Proc., 1959, eds. E. Kustova, G. Leonov, N. Morosov, M. Yushkov, M. Mekhonoshina, Amer. Inst. Phys., 2018, 050029  crossref  isi  scopus
    4. A. V. Koldoba, G. V. Ustyugova, “Raznostnaya skhema s analizatorom simmetrii dlya uravnenii gazovoi dinamiki”, Matem. modelirovanie, 31:7 (2019), 45–57  mathnet  crossref  elib
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