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Zh. Vychisl. Mat. Mat. Fiz., 2006, Volume 46, Number 6, Pages 1114–1127 (Mi zvmmf462)  

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

Numerical simulation of the unsteady aerodynamic interaction of two plane airfoil cascades

V. G. Alexandrov, A. A. Osipov

Baranov Central Institute of Aviation Motors, Aviamotornaya ul. 2, Moscow, 111116, Russia

Abstract: A method for the calculation of unsteady aerodynamic interaction of two plane airfoil cascades that are in relative motion in a subsonic flow of ideal gas is developed. This interaction provides a two-dimensional approximation of the flow in a stage of an axial turbomachine. The method is based on the reduction of the problem to the calculation of the unsteady flow in a single interblade passage of each of the cascades. The calculation uses generalized space-time periodicity relations corresponding to the unsteady process of interest. The calculation is based on the direct numerical integration of the non-stationary gas dynamics equations with the use of the finite difference Godunov–Kolgan–Rodionov scheme of the second approximation order with respect to time and space. The calculation procedure includes the determination of the acoustic fields that are generated by the stage in the incident flow and in the flow behind it. The results of the calculations that illustrate the accuracy of the numerical solution and the capabilities of the method are presented.

Key words: turbomachine stage, plane airfoil cascade, subsonic flow of an ideal gas, unsteady aerodynamic interaction, direct numerical simulation, acoustic fields.

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English version:
Computational Mathematics and Mathematical Physics, 2006, 46:6, 1061–1072

Bibliographic databases:

UDC: 519.634
Received: 20.07.2005

Citation: V. G. Alexandrov, A. A. Osipov, “Numerical simulation of the unsteady aerodynamic interaction of two plane airfoil cascades”, Zh. Vychisl. Mat. Mat. Fiz., 46:6 (2006), 1114–1127; Comput. Math. Math. Phys., 46:6 (2006), 1061–1072

Citation in format AMSBIB
\by V.~G.~Alexandrov, A.~A.~Osipov
\paper Numerical simulation of the unsteady aerodynamic interaction of two plane airfoil cascades
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 6
\pages 1114--1127
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 6
\pages 1061--1072

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    This publication is cited in the following articles:
    1. Aleksandrov V.G., Osipov A.A., “Mathematical Modeling of the Sound Induced in a Subsonic Flow Around Cascades in Relative Motion”, Fluid Dyn., 43:1 (2008), 147–158  crossref  zmath  adsnasa  isi  elib  scopus
    2. Mel'nikova O.M., P'yankov K.S., “Mathematical Modeling of Flow in Sound-Absorbing Structures of Resonance Type in the Presence of a Grazing Flow”, Fluid Dyn., 47:3 (2012), 329–337  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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