Geodesic
Numerical simulation of the unsteady aerodynamic interaction of two plane airfoil cascades
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 6, pp. 1114-1127 
V. G. Alexandrov; A. A. Osipov. Numerical simulation of the unsteady aerodynamic interaction of two plane airfoil cascades. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 6, pp. 1114-1127. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_6_a11/
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     title = {Numerical simulation of the unsteady aerodynamic interaction of two plane airfoil cascades},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1114--1127},
     year = {2006},
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     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_6_a11/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Yao J., Davis R. L., Alonso J. J., Jameson A., “Massively parallel simulation of the unsteady flow in an axial turbine stage”, J. Propulsion and Power, 18:2 (2002), 465–471 | DOI

[2] Yamagata A., Kodama H., Tsuchiya N., Nozaki O., “CFD prediction of unsteady pressures due to fan rotor-stator interaction”, Proc. 16th Internat. Symp. on Air Breathing Engines (ISABE-2003-1130), 2003, 1130, 1–9 pp.

[3] Erdos J. I., Alzner E., McNally W., “Numerical solution of periodic transonic flow through a fan stage”, AIAA Journal, 15:11 (1977), 1559–1568 | DOI | Zbl

[4] Sokolovskii G. A., Gnesin V. I., Nestatsionarnye transzvukovye i vyazkie techeniya v turbomashinakh., Nauk. dumka, Kiev, 1986

[5] Gerolimos G. A., Michon G. J., Neubauer J., “Analysis and application of chorochronic periodicity in turbomachinery rotor/stator interaction computations”, J. Propulsion Power, 18:6 (2002), 1139–1152 | DOI

[6] Giles M. B., “Stator/rotor interaction in transonic turbine”, J. Propulsion Power, 6:5 (1990), 621–627 | DOI | MR

[7] Davydov Yu. M., Egorov M. Yu., Shmotin Yu. N., “Nestatsionarnye effekty techeniya v turbine reaktivnogo dvigatelya”, Dokl. RAN, 368:1 (1999), 45–49 | Zbl

[8] Butenko K. K., Osipov A. A., “Aerodinamicheskoe vzaimodeistvie dvukh ploskikh reshetok tonkikh slabo- nagruzhennykh profilei pri ikh otnositelnom dvizhenii v dozvukovom potoke gaza”, Izv. AN SSSR. Mekhan. zhidkosti i gaza, 1987, no. 3, 168–175

[9] Benzoni-Gavage S., Coulombel J.-F., Aubert S., “Boundary conditions for Euler equations”, AIAA Journal, 41:1 (2003), 56–63 | DOI