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Zh. Vychisl. Mat. Mat. Fiz., 2015, Volume 55, Number 12, Pages 2067–2092 (Mi zvmmf10316)  

This article is cited in 6 scientific papers (total in 6 papers)

Complex conservative difference schemes for computing supersonic flows past simple aerodynamic forms

O. A. Azarova

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

Abstract: Complex conservative modifications of two-dimensional difference schemes on a minimum stencil are presented for the Euler equations. The schemes are conservative with respect to the basic divergent variables and the divergent variables for spatial derivatives. Approximations of boundary conditions for computing flows around variously shaped bodies (plates, cylinders, wedges, cones, bodies with cavities, and compound bodies) are constructed without violating the conservation properties in the computational domain. Test problems for computing flows with shock waves and contact discontinuities and supersonic flows with external energy sources are described.

Key words: complex conservative schemes, divergent variables, conservation laws, testing of schemes, supersonic flow, contact vortex structures, numerical solution of Euler equations.

Funding Agency Grant Number
European Office of Aerospace Research and Development Ц EOARD 2014p
European Office of Aerospace Research and Development Ц EOARD 3058p


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English version:
Computational Mathematics and Mathematical Physics, 2015, 55:12, 2025–2049

Bibliographic databases:

UDC: 519.634
Received: 26.06.2014
Revised: 23.03.2015

Citation: O. A. Azarova, “Complex conservative difference schemes for computing supersonic flows past simple aerodynamic forms”, Zh. Vychisl. Mat. Mat. Fiz., 55:12 (2015), 2067–2092; Comput. Math. Math. Phys., 55:12 (2015), 2025–2049

Citation in format AMSBIB
\by O.~A.~Azarova
\paper Complex conservative difference schemes for computing supersonic flows past simple aerodynamic forms
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2015
\vol 55
\issue 12
\pages 2067--2092
\jour Comput. Math. Math. Phys.
\yr 2015
\vol 55
\issue 12
\pages 2025--2049

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    This publication is cited in the following articles:
    1. O. A. Azarova, L. G. Gvozdeva, “Unsteady triple-shock configurations and vortex contact structures initiated by the interaction of an energy source with a shock layer in gases”, Tech. Phys. Lett., 42:8 (2016), 799–803  crossref  isi  elib  scopus
    2. O. A. Azarova, L. G. Gvozdeva, “Control of triple-shock configurations and vortex structures forming in high speed flows of gaseous media past an AD body under the action of external energy sources”, Aerospace, 4:1 (2017), 9  crossref  isi
    3. O. A. Azarova, A. V. Erofeev, T. A. Lapushkina, “A comparison of plasma and thermal effects upon supersonic flow past aerodynamic bodies”, Tech. Phys. Lett., 43:4 (2017), 405–408  crossref  isi
    4. Azarova O.A., Shakhov E.M., “Propagation of a Shock Wave Through a Viscous Heat-Conducting Gas in a Long Microchannel”, Fluid Dyn., 54:3 (2019), 404–413  crossref  isi
    5. Lapushkina T.A., Erofeeva A.V., Azarova O.A., Kravchenko O.V., “Interaction of a Plane Shock Wave With An Area of Ionization Instability of Discharge Plasma in Air”, Aerosp. Sci. Technol., 85 (2019), 347–358  crossref  isi
    6. Lapushkina T.A., Erofeev V A., Azarova O.A., Kravchenko V O., “Passage of a Plane Shock Wave Through the Region of a Glow Gas Discharge”, Tech. Phys., 64:1 (2019), 34–41  crossref  isi
  • ∆урнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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