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Numerical simulation of 3D flow in axial turbomachines

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper is intended to describe a method for the calculation of 3D viscous compressible (subsonic or supersonic) flow in axial turbomachines described in the form of thin-layer Reynolds-averaged Navier-Stokes equations. The method draws on Godunov-type upwind differencing and ENO reconstruction suggested by Harten (1987), so as to assure monotonicity preservation and high accuracy of computational results. The computational efficiency is achieved thanks to the implementation of a simplified H-type multi-grid approach and delta -form implicit step. Turbulent effects are simulated with the help of a modified algebraic model of Baldwin-Lomax (1978). This method was at the foundation of a computer code-a complex software package to calculate 3D flow in multi-stage turbomachines that allows us to obtain local characteristics, like temperature, pressure, density or velocity distributions, as well as global characteristics, such as flow rates, stage reaction, flow efficiency for the considered turbine/compressor stage. The paper also gives selected results of computation of a number of turbomachinery cascades, showing that these results agree reasonably well with the available experimental data.
Rocznik
Strony
319--347
Opis fizyczny
Bibliogr. 32 poz., rys., tab.
Twórcy
autor
  • Institute of Machine Construction, National Academy of Sciences of Ukraine, 2/10 Pozharsky, 31046 Kharkov, Ukraine
  • Institute of Machine Construction, National Academy of Sciences of Ukraine, 2/10 Pozharsky, 31046 Kharkov, Ukraine
  • Institute of Fluid Flow Machinery Polish Academy of Sciences Fiszera 14, 80-952 Gdansk, Poland
autor
  • Institute of Fluid Flow Machinery Polish Academy of Sciences Fiszera 14, 80-952 Gdansk, Poland
  • Institute of Fluid Flow Machinery Polish Academy of Sciences Fiszera 14, 80-952 Gdansk, Poland
Bibliografia
  • [1] Baldwin B. S., Lomax H., Thin layer approximation and algebraic model for separated turbulent flows, AIAA Paper No 257 (1978)
  • [2] Beam R. M., Warming R. F., An implicit factored scheme for the compressible Navier- Slokes equations, AI AA J. 16 (1978) No 4
  • [3] Chakravartliy S. R., Szema K. Y., Goldberg V. C., Gorski J. J., Application of a new class of high accuracy TVD schemes to the Navier-Stokes equations, A1AA Paper No 165 (1985)
  • [4] Colantuoni S., Terlizzi A.. Grasso F., A validation of a Navier-Stokes 2D solver for transonic turbine cascade flows, AIAA Paper No 2451 (1989)
  • [5] Fletcher C. A. J., Computational Techniques for Fluid Dynamics 2. Specific Techniques for Different Flow Categories, Springer-Verlag Berlin, Heidelberg 1988
  • [6] Gardzilewicz A., Rusanov A. V., Yershov S. V., Gncsin V., Analysis of prospects of raising the efficiency of LP stages of steam turbines with the help of 3D computations, Rep. Diagnostyka Maszyn Ltd., Gdansk, 31(1995) (in Polish)
  • [7] Gardzilewicz A., Yershov S. V., Rusanov A. V., Lampart R, Study of prospects of raising the efficiency of impulse turbine stages with the help of 3D computations, Rep. Diagnostyka Maszyn Ltd., Gdansk, Part 1 .-18 (1996). Part 2.-25 (1996) (in Polish)
  • [8] Gardzilewicz A., Yershov S. V., Rusanov A. V., Lampart P., Kietlinski K.., Elszkowski J., Increasing the efficiency of cylindrical stages of impulse turbines with the help of 3D flow computations, Proc. Int. Conf. Modelling & Design in Fluid-Flow Machinery IMP’97, November 18-21,1997
  • [9] Godunov S. K., Zabrodin A. W., Ivanov M. A., Solving multidimensional problems in gas dynamics, Nauka, Moscow, 1976 (in Russian)
  • [10] Harten A., High resolution schemes for hyperbolic conservation laws, J. Comp. Phys. 49 (1983) No 3
  • [11] 1 larten A., Osher S., Uniformly high-order accurate non-oseillaloty schemes, SIAM Journal of Numerical Analysis 24 (1987) No 2
  • [12] Hodson H. P., Dominy R. G., Three-dimensional flow in a low-pressure turbine cascade at its design condition, J. Turbomachincry 109 (1987) No 2
  • [13] Ivanov M. A., Krupa V. G., Computation of 3D viscous cascade flow, News of Russian Academy of Sci., Fluid & Gas Mechanics, 1993 No 4
  • [14] Ivanov M. A. Nigmatulin P. Z., Implicit Godunov scheme of increased accuracy for integration of Euler equations, J. Math, and Math. Phys. 6 (1989) (in Russian)
  • [15] Kinsey D. W., Eastep F. E., Navier-Stokes solution for a thick supercritical airfoil with strong shocks and massively separated flow, A AI A Paper No 0706 (1988)
  • [16] Kolgan W. P., Numerical schemes for solving problems in gas dynamics, Proc. Aerodynamics Inst. 3 (1972) No 6 (in Russian)
  • [17] Langston L. S., Nice M. L., Hopper R. M., Three-dimensional flow within a turbine blade cascade, Trans. ASME J. Power Engng 99 (1977) No 1
  • [18] Liu F., Jameson A., Multigrid Fuller calculations for three-dimensional cascade, AIAA Paper No 688 (1990)
  • [19] MacCormack R. W., The effect of viscosity in hypervelocity impact cratering, AIAA Paper No 354 (1969)
  • [20] Ramsey C. L., Anderson W. K., Some numerical and physical aspects of unsteady Navier-Stokes computations over airfoils using dynamic meshes, AIAA Paper No 247 (1986)
  • [21] Rody W., Srinivas K., Computation of flow and losses in transonic turbine cascades, Z. Fluwiss. Weltraumforsch.No 13 (1989)
  • [22] Tiliaeva N. L, Modification of Godunov scheme on arbitrary non-struetured grids, Proc. Aerodynamics Inst., 17(1986) No 2 (in Russian)
  • [23] Wiechowski S., Results of investigations of annular cascades TKH, TK9 and models TKS-TW3, TK9-TW3, Rep. Institute of Thermal Engng Lodz, 1988 (in Polish)
  • [24] Ycrshov S. V., Simulation of separated viscous flows using the implicit monotonicitypreserving high-resolution Godunov scheme, Int. Conf. Methods of Aerophysical Researches, Novosibirsk, Russia (1992)
  • [25] Ycrshov S. V., The quasi-monotonous ENO scheme of increased accuracy for integrating Euler and Navier-Stokes equations. Mathematical Modelling 6 (1994) No 11 (in Russian)
  • [26] Ycrshov S. V., Rusanov A. V., 3D separated viscous flow calculation using Godunov's high resolution scheme, Int. Conf. Methods of Aerophysical Researches, Novosibirsk, Russia, 1994
  • [27] Yershov S. V., Rusanov A. V., T he high resolution method of Godunov's type for 3D viscous flow calculations, Proc. 3rdColloq. Process Simulation, Espoo, Finland, 1996
  • [28] Yershov S. V., Rusanov A. V., The new implicit ENO method for 3D viscous multi stage flow calculations. Computational Fluid Dynamics '96, Proc. 3rd ECCOMAS Computational Fluid Dynamics Conf., Paris, France, September 9-13, 1996
  • [29] Yershov S. V.. Rusanov A. V., The application package FlowER for the calculation of 3D viscous flows through multistage turbomachinety. Certificate of state registration of copyright, Ukr; inian state agency of copyright and related rights, February 19, 1996
  • [30] Yershov S. V., Rusanov A. V., Modification of algebraic turbulence model used in code FlowER, In Modelling Turbulence in Technical Applications, Copybooks of Institute of Fluid-Flow Machinery. Gdansk, Poland, 486 (1997)
  • [31] Yershov S. V., Rusanov A. V., Gardzilewicz A., Badur J., Lampart P., Calculations of Test Case 3-Durham low speed turbine cascade, Proc. V ERCOFTAC Seminar and Workshop on 3D Turbomachinery Flow Prediction, Courchevel, France, January 6-9, 1997
  • [32] Yershov S. V., Rusanov A. V., Gardzilewicz A., Badur J., Lampart P., Calculations of Test Case 9-Highly loaded transonic linear turbine guide vane cascade, Proc. V ERCOFTAC Seminar and Workshop on 3D Turbomachinery Flow Prediction, Courchevel, France, January 6-9, 1997
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT3-0019-0023
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