Validation of three-dimensional euler methods for vibrating cascade aerodynamics

Journal of Turbomachinery

Volumn 118, Issue 4, 1996, Pages 771-782

  Gerolymos, G A ^a   Vallet, I ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMICS; CASCADES; MATHEMATICAL TECHNIQUES; TURBOMACHINERY;

EID: 0030478770     PISSN: 0889504X     EISSN: 15288900     Source Type: Journal    
DOI: 10.1115/1.2840933     Document Type: Article

References (49)

1. Adamczyk, J. J., and Goldstein, M. E., 1978, “Unsteady Flow in a Supersonic Cascade With Subsonic Leading-Edge Locus,” AIAA J., Vol. 16, pp. 1248-1254.
2. Boles, A., and Fransson, T. H., 1986, “Aeroelasticity in Turbomachines: Comparison of Theoritical and Experimental Cascade Results,” Communication du Laboratoire de Thermique Appliquée et de Turbomachines No. 13, Ecole Poly-techique Fédérale de Lausanne, Switzerland.
3. Carstens, V., 1991, “Computation of the Unsteady Transonic 2-D Cascade Flow by an Euler Algorithm With Interactive Grid Generation,” AGARD Conf. Proc., Vol. 507, pp. 9.1-9.14.
4. Carstens, V., Boles, A., and Kôrbacher, H., 1993, “Comparison of Experimental and Theoretical Results for Unsteady Transonic Cascade Flow at Design and Off-Design Conditions,” ASME Paper No. 93-GT-100.
5. Chi, R. M., 1993, “An Unsteady Lifting Surface Theory for Ducted Fan Blades,” ASME Journal of Turbomachinery, Vol. 115, pp. 175-188.
6. Denton, J. D., 1992, “The Calculation of Three-Dimensional Viscous Flow Through Multistage Turbomachines,” ASME Journal of Turbomachinery, Vol. 114, pp. 18-26.
7. Fleeter, S., and Hoyniak, D., 1989, “Aeroelastic Detuming for Stability Enhancement of Unstalled Supersonic Flutter,” Int. J. Turbo. Jet Eng., Vol. 6, pp. 17-26.
8. Fransson, T. H., and Verdón, J. M., 1991, “Panel Discussion on Standard Configurations for Unsteady Flow Through Vibrating Axial Flow Turbomachine Cascades,” Unsteady Aerodynamics, Aeroacoutics, and Aeroelasticity of Turbomachines and Propellers, Notre Dame [USA].
9. Gerolymos, G. A., 1988, “Numerical Integration of the 3-D Unsteady Euler Equations for Flutter Analysis of Axial Flow Compressors,” ASME Paper No. 88-GT-255; Int. J. Turbo Jet Eng., Vol. 7, 1990, pp. 131-142.
10. Gerolymos, G. A., Blin, E., and Quiniou, H., 1990, “Comparison of Inviscid Computations With Theory and Experiment in Vibrating Transonic Compressor Cascades,” ASME Paper No. 90-GT-373; Rech. Aérosp., Vol. 1991.6, 1991, pp. 63-82.
11. Gerolymos, G. A., 1993, “Advances in the Numerical Integration of the ThreeDimensional Euler Equations in Vibrating Cascades,” ASME Journal of Turbomachinery, Vol. 115, pp. 781-790.
12. Giles, M. B., 1990, “Nonreflecting Boundary Conditions for Euler Equation Calculations,” AIAA J., Vol. 28, pp. 2050-2058.
13. Goldstein, M. E., Braun, W., and Adamczyk, J. J., 1977, “Unsteady Low in a Supersonic Cascade With Strong in Passage Shocks,” J. Fluid Meek, Vol. 83, pp. 569-604.
14. Goldstein, M. E., 1978, “Unsteady Vortical and Entropie Distortions of Potential Flows Round Arbitrary Obstacles,” J. Fluid. Meek, Vol. 89, pp. 433-468.
15. Hall, K. C., and Lorence, C. B., 1993, “Calculation of Three Dimensional Unsteady Flows in Turbomachinery Using the Linearized Harmonic Euler Equations,” ASME Journal of Turbomachinery, Vol. 115, 1993, pp. 800-809.
16. Hall, K. C., and Clark, W. S., 1993, “Linearized Euler Predictions of Unsteady Aerodynamic Loads in Cascades,” AIAA J., Vol. 31, pp. 540-550.
17. Hall, K. C., 1993, “Deforming Grid Variational Principle for Unsteady Small Disturbance Flows in Cascades,” AIAA J„ Vol. 31, pp. 891-900.
18. Hall, K. C., Clark, W. S., and Lorence, C. B., 1994, “A Linearized Euler Analysis of Unsteady Transonic Flows in Turbomachinery,” ASME Journal of Turbomachinery, Vol. 116, pp. 477-488.
19. Halliwell, D. G., Newton, S. G., and Lit, K. S., 1984, “A Study of Unsteady Pressures Near the Tip of a Transonic Fan in Unstalled Supersonic Flutter,” ASME. J. Vibr. Acoiist. Reliab. Design, Vol. 106, pp. 198-203.
20. He, L., 1990, “An Euler Solution for Unsteady Flows Around Oscillating Blades,” ASME Journal of Turbomachinery, Vol. 112, pp. 714-722.
21. He, L., and Denton, J. D., 1993a, “Inviscid-Viscous Coupled Solution for Unsteady Flows Through Vibrating Blades: Part 1—Description of the Method,” ASME Journal of Turbomachinery, Vol. 115, pp. 94-100.
22. He, L., and Denton, J. D., 1993b, “Inviscid-Viscous Coupled Solution for Unsteady Flows Through Vibrating Blades: Part 2—Computational Results,” ASME Journal of Turbomachinery, Vol. 115, pp. 101-109.
23. He, L., and Denton, J. D., 1994, “Three-Dimensional Time-Marching Inviscid and Viscous Solutions for Unsteady Flows Around Vibrating Blades,” ASME Journal of Turbomachinery, Vol. 116, pp. 469-478.
24. Hedstrom, G. W., 1979, “Nonrefiecting Boundary Conditions for Nonlinear Hyperbolic Systems,” J. Comp. Phys., Vol. 30, pp. 222-237.
25. Huff, H. L., 1992, “Numerical Analysis of Flow Through Oscillating Cascade Sections,” J. Prop. Power, Vol. 8, pp. 815-822.
26. Kodoma, H., and Namba, M., 1990, “Unsteady Lifting Surface Theory for a Rotating Cascade of Swept Blades,” ASME Journal of Turbomachinery, Vol. 112, pp. 411-417.
27. Lane, F., 1957, “Supersonic Flow Past on Oscillating Cascade With Supersonic Leading-Edge Locus,” J. Aero. Sci., Vol. 24, pp. 65-66.
28. Meirovitch, L., 1975, Elements of Vibration Analysis, McGraw-Hill, pp. 210-214.
29. Namba, M., and Ishikawa, A., 1983, “Three-Dimensional Aerodynamic Characteristics of Oscillating Supersonic and Transonic Annular Cascade,” ASME Journal of Engineering for Power, Vol. 105, pp. 138-146.
30. Namba, M., 1987, “Three-Dimensional Flows,” AGARDograph 298, pp. 4.14.30.
31. Ni, R. H., 1979, “A Rotational Analysis of Periodic Flow Perturbation in Supersonic Two-Dimensional Cascade,” ASME Journal of Engineering Power, Vol. 101, pp. 431-439.
32. Salaiin, P., 1987, “Three-Dimensional Flow,” AGARDograph 298, pp. 5.15.17.
33. Siden, L. D. G., 1991, “Numerical Simulation of Unsteady Viscous Compressible Flows Applied to Blade Flutter Analysis,” ASME Paper No. 91-GT-203.
34. Surampudi, S. P., and Adamczyk, J. J., 1986, “Unsteady Transonic Flow Over Cascade Blades,” AIAA J., Vol. 24, pp. 293-302.
35. Usab, W. J., Jr., and Verdon, J. M., 1991, “Advances in the Numerical Analysis of Linearized Unsteady Cascade Flows,” ASME Journal of Turbomachinery, Vol. 119, pp. 633-643.
36. Venkatakrishnan, V., and Jameson, A., 1988, “Computation of Unsteady Transonic Flows by the Solution of Euler Equations,” AIAA J., Vol. 29, pp. 974-981.
37. Verdon, J. M., 1973, “The Unsteady Aerodynamics of a Finite Supersonic Cascade With Subsonic Axial Flow,” ASME Journal of Applied Mechanics, Vol. 40, pp. 667-671.
38. Verdon, J. M., and McCune, J. E., 1975, “Unsteady Supersonic Cascade in Subsonic Axial Flow,” AIAA J., Vol. 13, pp. 193-201.
39. Verdon, J. M., 1975, “Comment on the Issue of Resonance in an Unsteady Supersonic Cascade,” AIAA J., Vol. 13, pp. 1542-1543.
40. Verdon, J. M., 1977a, “Further Developments in the Aerodynamic Analysis of Unsteady Supersonic Cascades: Part 1 —The Unsteady Pressure Field,” ASME Journal of Engineering Power, Vol. 99, pp. 509-516.
41. Verdon, J. M., 1977b, “Further Developments in the Aerodynamic Analysis of Unsteady Supersonic Cascades: Part 2—Aerodynamic Response Predictions,” ASME Journal of Engineering for Power, Vol. 99, pp. 517-525.
42. Verdon, J. M., and Caspar, J. R., 1982, “Development of a Linear Unsteady Aerodynamic Analysis for Finite Deflection Subsonic Cascades,” AIAA J., Vol. 20, pp. 1259-1267.
43. Verdon, J. M., and Caspar, J. R., 1984, “A Linearized Unsteady Aerodynamic Analysis for Transonic Cascades,” J. Fluid Mech., Vol. 149, pp. 403-429.
44. Verdon, J. M., 1989a, “The Unsteady Flow in the Far Field of an Isolated Blade Row,” J. Fluids Struct., Vol. 3, pp. 123-149.
45. Verdon, J. M., 1989b, “The Unsteady Aerodynamic Response to Arbitrary Modes of Blade Motion,” J. Fluids Struct., Vol. 3, pp. 255-274.
46. Verdon, J. M., 1992, “Linearized Unsteady Aerodynamics for Turbomachinery Aeroelastic Applications,” J. Phys. Ill France, Vol. 2, pp. 481-506.
47. Verdon, J. M., 1993, “Review of Unsteady Aerodynamic Methods for Turbomachinery Aeroelastic and Aeroacoustic Applications,” AIAA J., Vol. 31, pp. 235-250.
48. Whitehead, D. S., 1987, “Classical Two-Dimensional Methods,” AGARDograph 298, pp. 3.1-3.30.
49. Whitehead, D. S., 1990, “A Finite Element Solution of Unsteady Two-Dimensional Flows in Cascades,” Int. J. Num. Meth. Fluids, Vol. 10, pp. 13-34.