Reduced-order models of unsteady transonic viscous flows in turbomachinery

Journal of Fluids and Structures

Volumn 14, Issue 8, 2000, Pages 1215-1234

  Epureanu, B I ^a   Dowell, E H ^b   Hall, K C ^b  

^a MCGILL UNIVERSITY   (Canada)

^b Duke University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001759089     PISSN: 08899746     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfls.2000.0320     Document Type: Article

References (71)

1. AYER T. C., VERDON J. M. Validation of a nonlinear unsteady aerodynamic simulator for vibrating blade rows. Journal of Turbomachinery. 120:1998;112-121.
2. BIENKIEWICZ B. New tools in wind engineering. Proceedings of the 1994 East European Conference on Wind Engineering. 65:1996;Elsevier, Amsterdam. p. 297-300.
3. BUFFUM D. H., CAPECE V. R., KING A. J., EL-AINI Y. M. Oscillating cascade aerodynamics at large mean incidence. Journal of Turbomachinery. 120:1998;122-130.
4. CANUTO C., HUSSAINI M. Y., QUARTERONI A., ZANG T. A. Spectral Methods in Fluid Dynamics. 1988;Springer-Verlag, New York.
5. CATHERALL D., MANGLER K. W. The integration of the two dimensional laminar boundary layer equations past the point of vanishing skin friction. Journal of Fluid Mechanics. 26:1966;163-182.
6. CEBECI T., BRADSHAW P. Momentum Transfer in Boundary Layers. 1977;Hemisphere Publishing Corporation, Washington.
7. CEDAR R., STOW P. The addition of quasi-three-dimensional terms into a finite element method for transonic turbomachinery blade-to-blade flows. International Journal for Numerical Mehods in Fluids. 5:1985;101-114.
8. CENEDESE A., MIOZZI M., QUERZOLI G. Comparison between fourier and proper orthogonal decomposition of a velocity field within a convective vessel. Proceedings of the Eighth International Conference on Computational Methods and Experimental Measurements. 1:1997;Computational Mechanics Publications, Rhodes. p. 319-329.
9. CHAMBERS D. H., ADRIAN R. J., MOIN P., STEWART D. S., SUNG H. J. Karhunen-Loève expansion of Burgers' model of turbulence. Physics of Fluids. 31:1988;2573-2582.
10. CIZMAS P. G. A. A simultaneously coupled potential - boundary layer model of stall flutter in turbomachinery. 1995;Duke University.
11. CIZMAS P. G. A., HALL K. C. Computation of steady and unsteady viscous flows using a simultaneously coupled inviscid-viscous ineraction technique. Journal of Fluids and Structures. 9:1995;639-657.
12. CLARK W. S. Investigation of unsteady viscous flows in turbomachinery using a linearized Navier-Stokes analysis. 1998;Duke University.
13. DEANE A. E., KEVREKIDIS I. G., KARNIADAKIS G. E., ORSZAG S. A. Low-dimensional models for complex geometry flows: Application to grooved channels and circular cylinders. Physics of Fluids. 3:1988;2337-2354.
14. DOWELL, E. H. 1980, A simple method for converting frequency domain aerodynamics to the time domain, NASA, Lewis Research Center.
15. DOWELL E. H. Eigenmode analysis in unsteady aerodynamics: Reduced-order models. Proceedings of the 36th AIAAASME ASCE AHS ASC Structures, Structural Dynamics, and Materials Conference. 1:1995;AIAA, Washington. p. 1-13.
16. DOWELL E. H., HALL K. C., THOMAS J. P., FLOREA R., EPUREANU B. I., HEEG J. Reduced-order models in unsteady aerodynamics. Proceedings of the 40th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference. 1999;AIAA, Washington. p. 229-252.
17. DRELA M. Two-dimensional transonic aerodynamic design and analysis using the Euler equations. 1986;M.I.T.
18. DRELA, M. 1996, Unsteady integral boundary layer equations with lag dissipation closure.
19. EPUREANU B. I., DOWELL E. H. System identification for Ott-Grebogi-Yorke controller design. Physical Review E. 56:1997;5327-5331.
20. EPUREANU B. I., DOWELL E. H. On the optimality of the OGY control scheme. Physica D. 116:1998;1-7.
21. EPUREANU B. I., HALL K. C., DOWELL E. H. Reduced-order models of unsteady viscous flows in turbomachinery using viscous-inviscid coupling. Journal of Fluids and Structures. 2001.
22. EPUREANU B. I., TRICKEY S. T., DOWELL E. H. Stabilization of unstable limit cycles in systems with limited controllability: expanding the basin of convergence of OGY-type controllers. Nonlinear Dynamics. 15:1998;191-205.
23. FLOREA R., HALL K. C., CIZMAS P. G. A. Reduced-order modeling of unsteady viscous flow in a compressor cascade. AIAA Journal. 36:1998;1039-1048.
24. FRANSSON T. H., VERDON J. M. Panel discussion on standard configurations for unsteady flow through vibrating axial-flow turbomachine. Atassi H. M. Unsteady Aerodynamics, Aeroacoustics and Aeroelasticity of Turbomachines and Propellers. 1:1993;859-889 Springer-Verlag, New York.
25. GEORGIOU I. T., SCHWARTZ I. B. Proper orthogonal decomposition approach to coupled structural - mechanics systems. Nonlinear Dynamics and Controls. 91:1996;ASME, New York. p. 7-12.
26. GILES M. B. Newton solution of steady two-dimensional transonic flow. 1985;Massachusetts Institute of Technology.
27. GREEN, J. E. 1976, Application of head's entrainment method to the prediction of turbulent boundary layers and wakes in compressible flows, Aeronautical Research Council.
28. GREEN, J. E. WEEKS, D. J. BROOMAN, J. W. F. 1976, Prediction of turbulent boundary layers and wakes in compressible flows by a lag entrainment method, Aeronautical Research Council.
29. GREITZER E. M. Surge and rotating stall in axial flow compressors. Part I: theoretical compression system model. ASME Journal of Engineering for Power. 98:1976;190-198.
30. HABASHI W. G., HAFEZ M. M. Finite element solutions of transonic flow problems. AIAA Journal. 20:1982;1368-1376.
31. HABASHI W. G., HAFEZ M. M., KOTIUGA P. L. Computation of choked and supersonic trubomachinery flows by a modified potential method. AIAA Journal. 23:1985;214-220.
32. HAFEZ M. M., SOUTH J., MURMAN E. Artificial compressibility methods for numerical solutions of transonic full potential equation. AIAA Journal. 17:1979;838-844.
33. HALL K. C. Deforming grid variational principle for unsteady small disturbances flows in cascades. AIAA Journal. 31:1993;891-900.
34. HALL K. C. Eigenanalysis of unsteady flows about airfoils, cascades, and wings. AIAA Journal. 32:1994;2426-2432.
35. HALL K. C., FLOREA R., LANZKRON P. J. A reduced-order model of unsteay flows in turbomachinery. Journal of Turbomachinery. 117:1995;375-383.
36. HALL, K. C. LORENCE, C. B. CLARK, W. S. 1993, Nonreflecting boundary conditions for linearized unsteady aerodynamic calculations.
37. HALL, K. C. THOMAS, J. P. DOWELL, E. H. 1999, Reduced-order modeling of unsteady small-disturbance flows using a frequency-domain proper orthogonal decomposition technique.
38. HO T. C. E., DAVENPORT A. G., SURRY D. Characteristic pressure distribution shapes and load repetitions for the wind loading of low building roof panels. Journal of Wind Engineering and Industrial Aerodynamics. 57:1995;261-279.
39. HOLMES P., LUMLEY J. L., BERKOOZ G. Turbulence, Coherent Structures, Dynamical Systems and Symmetry. 1996;Cambridge University Press, Cambridge.
40. JEONG S. H., BIENKIEWICZ B. Application of autoregressive modeling in proper orthogonal decomposition of building wind pressure. Proceedings of the 3rd International Colloquium on Bluff Body Aerodynamics and Applications. 69-71:1997;Elsevier, Blacksburg. p. 685-695.
41. KIKUCHI H., TAMURA Y., UEDA H., HIBI K. Dynamic wind pressures acting on a tall building model - proper orthogonal decomposition. Proceedings of the 3rd International Colloquium on Bluff Body Aerodynamics and Applications. 69-71:1997;Elsevier, Blacksburg. p. 631-646.
42. KIM T. Frequency domain Karhunen-Loéve method and its application to linear dynamic systems. AIAA Journal. 36:1998;2117-2123.
43. KIM T., NAM C., KIM Y. Reduced-order aeroservoelastic model with an unsteady aero-dynamic eigenformulation. AIAA Journal. 35:1997;1087-1088.
44. LEBALLEUR J. C. Couplage visqueux-non-visqueux: méthode numerique et applications aux écoulements bidimensionnels transsoniques et supersoniques. Recherche Aerospatiale. 2:1978;65-76.
45. LIU Z. C., ADRIAN R. J., HANRATTY P. Reynolds number similarity of orthogonal decomposition of the outer layer of turbulent wall flow. Physics of Fluids. 6:1994;2815-2819.
46. MAHAJAN A. J., DOWELL E. H., BLISS D. B. Eigenvalue calculation procedure for Euler/Navier-Stokes solvers with application to flows over airfoils. Journal of Computational Physics. 97:1991;398-413.
47. MOORE F. K., GREITZER E. M. A theory of post-stall transients in axial compression systems: Parts I and II. Journal of Engineering for Gas Turbines and Power. 108:1986;68-76.
48. MURMAN E. M., COLE J. D. Calculation of plane steady transonic flow. AIAA Journal. 9:1971;114-121.
49. NISHIDA, B. DRELA, M. 1995, Fully simultaneous coupling for three-dimensional viscous-inviscid flows.
50. NOOR A. K. Recent advances and applications of reduction methods. Applied Mechanics Reviews. 47:1994;125-145.
51. PETERSON L. D., CRAWLEY E. F. Improved exponential time series approximation of unsteady aerodynamic operators. Journal of Aircraft. 25:1988;121-127.
52. ROMANOWSKI, M. C. 1996, Reduced order unsteady aerodynamic and aeroelastic models using Karhunen-Loève eigenmodes.
53. SAHAN R. A., KOC-SAHAN N., ALBIN D. C., LIAKOPOULOS A. Artificial neural network - based modeling and intelligent control of transitional flows. Proceedings of the 1997 IEEE International Conference on Control Applications. 1:1997;IEEE, New York. p. 359-364.
54. SHARMA O. P., PICKETT G. F., NI R. H. Assesment of unsteady flows in turbines. Journal of Turbomachinery. 114:1992;79-90.
55. SHAW S. W., PIERRE C. Normal modes for non-linear vibratory systems. Journal of Sound and Vibration. 164:1993;85-124.
56. SHAW S. W., PIERRE C. Normal modes of vibration for non-linear continuous systems. Journal of Sound and Vibration. 169:1994;319-347.
57. SIROVICH L. Turbulence and the dynamics of coherent structures. Part I: coherent structures. Quarterly of Applied Mathematics. XLV:1987a;561-571.
58. SIROVICH L. Turbulence and the dynamics of coherent structures. Part II: symmetries and transformations. Quarterly of Applied Mathematics. XLV:1987b;573-582.
59. SIROVICH L. Turbulence and the dynamics of coherent structures. Part III: dynamics and scaling. Quarterly of Applied Mathematics. XLV:1987c;583-590.
60. STONE E., CUTLER A. Introduction to archetypal analysis of spatio-temporal dynamics. Physica D. 96:1996;110-131.
61. STRAIN M. C., GREENSIDE H. S. Size-dependent transition to high-dimensional chaotic dynamics in a two-dimensional excitable medium. Physical Review Letters. 80:1998;2306-2309.
62. TAMURA Y., UEDA H., KIKUCHI H., HIBI K., SUGANUMA S., BIENKIEWICZ B. Proper orthogonal decomposition study of approach wind-building pressure correlation. Journal of Wind Engineering and Industrial Aerodynamics. 72:1997;421-431.
63. TANNEHILL J. C., ANDERSON D. A., PLETCHER R. H. Computational Fluid Mechanics and Heat Transfer. 1997;Taylor & Francis, London.
64. TATUM K. E. Finite element methods for transonic flow analysis. AIAA Journal. 21:1983;1071-1078.
65. UEDA T., DOWELL E. H. Flutter analysis using nonlinear aerodynamic forces. Journal of Aircraft. 21:1984;101-109.
66. UEMATSU Y., YAMADA M., INOUE A., HONGO T. Wind loads and wind-induced dynamic behavior of a single-layer latticed dome. Journal of Wind Engineering and Industrial Aerodynamics. 66:1997;227-248.
67. VELDMAN, A. E. P. 1979, A numerical method for the calculation of laminar, incompressible boundary layers with strong viscous-inviscid interaction, National Aerospace Laboratory, NLR, The Netherlands.
68. VELDMAN A. E. P. New quasi-simultaneous method to calculate interacting boundary layers. AIAA Journal. 19:1981;79-85.
69. WHITEHEAD D. S. The vibration of cascade blades treated by actuator disk methods. Proceedings of the Institution of Mechanical Engineers. 173:1959;555-563.
70. WHITEHEAD D. S., NEWTON S. G. A finite element method for the solution of two-dimensional transonic flows in cascades. Journal of Computational Physics. 5:1985;115-132.
71. WHITFIELD D. L., SWAFFORD T. W., JACOCKS J. L. Calculation of turbulent boundary layers with separation and viscous-inviscid interaction. AIAA Journal. 19:1981;1315-1322.