Near-wall k-ε computation of transonic turbomachinery flows with tip clearance

AIAA Journal

Volumn 36, Issue 10, 1998, Pages 1769-1777

  Gerolymos, G A ^a   Tsanga, G ^a   Vallet, I ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000106234     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/2.275     Document Type: Article

References (50)

1. Lakshminarayana, B., "Turbulence Modeling for Complex Shear Flows," AIAA Journal, Vol. 24, No. 12, 1986, pp. 1900-1917.
2. Leschziner, M. A., "Computation of Aerodynamic Rows with Turbulence-Transport Models Based on 2-Moment Closure," Computers and Fluids, Vol. 24, No. 4, 1995, pp. 377-392.
3. Dawes, W. N., "The Simulation of 3-D Viscous Flow in Turbomachinery Geometries Using a Solution-Adaptive Unstructured Mesh Methodology," Journal of Turbomachinery, Vol. 114, No. 3, 1992, pp. 528-537.
4. Turner, M. G., and Jennions, I. K., "An Investigation of Turbulence Modeling in Transonic Fans Including a Novel Implementation of an Implicit k-ε Turbulence Model," Journal of Turbomachinery, Vol. 115, No. 2, 1993, pp. 249-260.
5. Kwon, O. J., and Hah, C., "Simulation of Three-Dimensional Turbulent Flows on Unstructured Meshes," AIAA Journal, Vol. 33, No. 6, 1995, pp. 1081-1089.
6. Hah, C., "A Numerical Modeling of Endwall and Tip-Clearance Flow of an Isolated Compressor Rotor," Journal of Engineering for Gas Turbines and Power, Vol. 108, No. 1, 1986, pp. 15-21.
7. Hah, C., Bryans, A. C., Moussa, Z., and Tomsho, M. E., "Application of Viscous Flow Computations for the Aerodynamic Performance of a Backswept Impeller at Various Operating Conditions," Journal of Turbomachinery, Vol. 110, No. 3, 1988, pp. 303-311.
8. Knight, C. J., and Choi, D., "Development of a Viscous Cascade Code Based on Scalar Implicit Factorization," AIAA Journal, Vol. 27, No. 5, 1989, pp. 581-594.
9. Kunz, R. F., and Lakshminarayana, B., "3-D Navier-Stokes Computation of Turbomachinery Flows Using an Explicit Numerical Procedure and a Coupled k-ε Turbulence Model," Journal of Turbomachinery, Vol. 114, No. 3, 1992, pp. 627-642.
10. Ameri, A. A., Steinthorsson, E., and Rigby, D. L., "Effect of Squealer Tip on Rotor Heat Tranfer and Efficiency," Journal of Turbomachinery (to be published); also American Society of Mechanical Engineers Paper 97-GT-128, 1997.
11. Ameri, A. A., and Steinthorsson, E., "Prediction of Unshrouded Rotor Blade Tip Heat Transfer," American Society of Mechanical Engineers Paper 95-GT-142, 1995.
12. Ameri, A. A., and Steinthorsson, E., "Analysis of Gas Turbine Rotor Blade Tip and Shroud Heat Transfer," American Society of Mechanical Engineers Paper 96-GT-189, 1996.
13. Chien, K. Y., "Predictions of Channel and Boundary-Layer Flows with a Low-Reynolds Number Turbulence Model," AIAA Journal, Vol. 20, No. 1, 1982, pp. 33-38.
14. Hah, C., "Calculation of Three-Dimensional Viscous Flows in Turbomachinery with an Implicit Relaxation Method," Journal of Propulsion and Power, Vol. 3, No. 5, 1987, pp. 415-422.
15. Copenhaver, W. W., Mayhew, E. R., Hah, C., and Wadia, A. R., "The Effect of Tip Clearance on a Swept Transonic Compressor Rotor," Journal of Turbomachinery, Vol. 118, No. 2, 1996, pp. 230-239.
16. Copenhaver, W. W., Puterbaugh, S. L., and Hah, C., "Unsteady Flow and Shock Motion in a Transonic Compressor Rotor," Journal of Propulsion and Power, Vol. 13, No. 1, 1997, pp. 17-23.
17. Hah, C., Puterbaugh, S. L., and Copenhaver, W. W., "Unsteady Aerodynamic Flow Phenomena in a Transonic Compressor Stage," Journal of Propulsion and Power, Vol. 13, No. 3, 1997, pp. 329-333.
18. Hah, C., and Loellbach, J., "Development of Hub Corner Stall and Its Influence on the Performance of Axial Compressor Blade Rows," Journal of Turbomachinery (to be published); also American Society of Mechanical Engineers Paper 97-GT-42, 1997.
19. Coakley, T. J., "Turbulence Modeling Methods for the Compressible Navier-Stokes Equations," AIAA Paper 83-1693, 1983.
20. Coakley, T. J., "Implicit Upwind Methods for the Compressible Navier-Stokes Equations," AIAA Journal, Vol. 23, No. 3, 1985, pp. 374-380; also NASA TM-85899, Feb. 1984.
21. Kunz, R. F., and Lakshminarayana, B., "Stability of Explicit Navier-Stokes Procedures Using k-ε and k-ε/Algebraic Reynolds Stress Turbulence Models," Journal of Computational Physics, Vol. 103, 1992, pp. 141-159.
22. Kunz, R. F., Lakshminarayana, B., and Basson, A. H., "Investigation of Tip-Clearance Phenomena in an Axial Compressor Cascade Using Euler and Navier-Stokes Procedures," Journal of Turbomachinery, Vol. 115, No. 3, 1993, pp. 453-467.
23. Wilcox, D. C., "Simulation of Transition with a Two-Equation Turbulence Model," AIAA Journal, Vol. 32, No. 2, 1994, pp. 247-255.
24. Denton, J. D., "Loss Mechanisms in Turbomachines," Journal of Turbomachinery, Vol. 115, No. 4, 1993, pp. 621-656.
25. Storer, J. A., and Cumpsty, N. A., "An Approximate Analysis and Prediction Method for Tip Clearance Loss in Axial Compressors," Journal of Turbomachinery, Vol. 116, No. 4, 1994, pp. 648-656.
26. Lakshminarayana, B., Fluid Dynamics and Heat Transfer of Turbomachinery, Wiley, New York, 1997.
27. Basson, A. H., Kunz, R. F., and Lakshminarayana, B., "Grid Generation for 3-D Turbomachinery Geometries Including Tip Clearance," Journal of Propulsion and Power, Vol. 9, No. 1, 1993, pp. 59-66.
28. Rai, M. M., "Three-Dimensional Navier-Stokes Simulations of Turbine Rotor-Stator Interaction: Part I. Methodology," Journal of Propulsion and Power, Vol. 5, No. 3, 1989, pp. 305-311.
29. Rai, M. M., "Three-Dimensional Navier-Stokes Simulations of Turbine Rotor-Stator Interaction: Part II. Results," Journal of Propulsion and Power, Vol. 5, No. 3, 1989, pp. 312-319.
30. Liu, J. S., and Bozzola, R., "Three-Dimensional Navier-Stokes Analysis of Tip Clearance Flow in Linear Turbine Cascades," AIAA Journal, Vol. 31, No. 11, 1993, pp. 2068-2074.
31. Basson, A., and Lakshminarayana, B., "Numerical Simulation of Tip Clearance Effects in Turbomachinery," Journal of Turbomachinery, Vol. 117, No. 3, 1995, pp. 348-359.
32. Chima, R. V., "Calculation of Tip Clearance Effects in a Transonic Compressor Rotor," Journal of Turbomachinery, Vol. 120, No. 1, 1998, pp. 131-140.
33. Vallet, I., "Aérodynamique Numérique 3-D Instationnaire avec Fermeture Bas-Reynolds au Second Ordre," Ph.D. Thesis, Univ. Pierre-et-Marie-Curie, Paris, Dec. 1995.
34. Gerolymos, G. A., and Vallet, I., "Implicit Computation of the Three-Dimensional Compressible Navier-Stokes Equations Using k-ε Turbulence Closure," AIAA Journal, Vol. 34, No. 7, 1996, pp. 1321-1330.
35. Gerolymos, G. A., and Vallet, I., "Near-Wall Reynolds Stress Three-Dimensional Transonic Flows Computation," AIAA Journal, Vol. 35, No. 2, 1997, pp. 228-236.
36. Rizzi, A., Eliasson, P., Lindblad, I., Hirsch, C., Lacor, C., and Haeuser, J., "The Engineering of Multiblock/Multigrid Software for Navier-Stokes Flows on Structured Meshes," Computers and Fluids, Vol. 22, No. 2/3, 1993, pp. 341-367.
37. Launder, B. E., and Sharma, B. I., "Application of the Energy Dissipation Model of Turbulence to the Calculation of Flows Near a Spinning Disc," Letters in Heat and Mass Transfer, Vol. 1, 1974, pp. 131-138.
38. Gerolymos, G. A., "Implicit Multiple-Grid Solution of the Compressible Navier-Stokes Equations Using k-ε Turbulence Closure," AIAA Journal, Vol. 28, No. 10, 1990, pp. 1707-1717.
39. Speziale, C. G., "Turbulence Modeling in Noninertial Frames of Reference," Theoretical and Computational Fluid Dynamics, Vol. 1, 1989, pp. 3-19.
40. Launder, B. E., Reynolds, W. C., Rodi, W., Mathieu, J., and Jeandel, D., Turbulence Models and their Applications II, Eyrolles, Paris, 1984.
41. Tsanga, G., "Aérodynamique Numérique 3-D des Turbomachines Axiales Multiéetages avec Fermeture k-ε Bas-Reynolds," Ph.D. Thesis, Univ. Pierre-et-Marie-Curie, Paris, Jan. 1997.
42. Gerolymos, G. A., and Tsanga, G., "Biharmonic Three-Dimensional Grid Generation for Axial Turbomachinery with Tip Clearance," Journal of Propulsion and Power (submitted for publication).
43. Lin, H., Yang, D. Y., and Chieng, C. C., "Variants of Biconjugate-Gradient Method for Compressible Navier-Stokes Solver," AIAA Journal, Vol. 33, No. 7, 1995, pp. 1177-1184.
44. Chakravarthy, S. R., "Euler Equations: Implicit Schemes and Boundary Conditions," AIAA Journal, Vol. 21, No. 5, 1983, pp. 699-706.
45. Lichtfuss, H. J., and Starken, H., "Supersonic Cascade Flow," Progress in Aerospace Sciences, Vol. 15, 1974, pp. 37-149.
46. Gerolymos, G. A., Blin, E., and Quiniou, H., "Comparison of Inviscid Computations with Theory and Experiment in Vibrating Transonic Compressor Cascades," Recherche Aérospatiale, Vol. 1991-6, 1991, pp. 63-82.
47. Davis, R. L., Delaney, R. A., Denton, J. D., Giles, M. B., Strazisar, A. J., and Wisler, D. C., "CFD Code Assessment in Turbomachinery - Author's Information Package," American Society of Mechanical Engineers Turbomachinery Committee, 1993.
48. Strazisar, A. J., "Data Report and Data Diskette for NASA Transonic Compressor Rotor 37," NASA Lewis Research Center, Cleveland, OH, 1994.
49. Gerolymos, G. A., and Vallet, I., "Tip-Clearance and Secondary Flows in a Transonic Compressor Rotor," Journal of Turbomachinery (to be published); also American Society of Mechanical Engineers Paper 98-GT-366, 1998.
50. Shabbir, A., Celestina, M. L., Adamczyk, J. J., and Strazisar, A. J., "The Effect of Hub Leakage on 2 High Speed Axial Flow Compressor Rotors," American Society of Mechanical Engineers Paper 97-GT-346, 1997.