Computation of the unsteady transonic flow in harmonically oscillating turbine cascades taking into account viscous effects

Journal of Turbomachinery

Volumn 120, Issue 1, 1998, Pages 104-111

  Gruer B ^a   Carstens, V ^a  

^a GERMAN AEROSPACE CENTER DLR   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BLADE; TRANSONIC FLOW; TURBINE; UNSTEADY FLOW; VISCOSITY;

EID: 0031898606     PISSN: 0889504X     EISSN: 15288900     Source Type: Journal    
DOI: 10.1115/1.2841370     Document Type: Article

References (29)

1. Abhari, R. S., and Giles, M., 1997, “A Navier-Stokes Analysis of Airfoils in Oscillating Transonic Cascades for the Prediction of Aerodynamic Damping,” ASME Journal of Turbomachinery, Vol. 119, pp. 77-84.
2. Baldwin, B. S., and Lomax, H., 1978, “Thin Layer Approximation and Algebraic Model for Separated Turbulent Flows,” AIAA Paper No. 78-257.
3. Beam, R. M., and Warming, R. F., 1976, “An Implicit Finite-Difference Algorithm for Hyperbolic Systems in Conservation-Law Form,” J. Comp. Phys., Vol. 22, pp. 87-110.
4. Boles, A., and Fransson, T. H., 1986, “Aeroelasticity in Turbomachines— Comparison of Theoretical and Experimental Results,” Communications du Laboratoire de Thermique Appliquée et de Turbomachines, Vol. 13, EPFL, Lausanne.
5. Carstens, V., 1988, “Two Dimensional Elliptic Grid Generation for Airfoils and Cascades,” DLR-FB, pp. 88-52.
6. Carstens, V., 1991, “Computation of the Unsteady Transonic 2D Cascade Flow by an Euler Algorithm With Interactive Grid Generation,” AGARD CP 507, Transonic Unsteady Aerodynamics and Aeroelasticity, San Diego, USA, Oct. 7-11.
7. Carstens, V., Boles, A., and Korbâcher, 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.
8. Carstens, V., 1994, “Computation of Unsteady Transonic 3D-Flow in Oscillating Turbomachinery Bladings by an Euler Algorithm With Deforming Grids,” Proc. 7th International Symposium on Unsteady Arodynamics and Aeroelasticity of Turbomachines, Fukuoka, Japan, Sept. 25-29.
9. Chakravarthy, S. R., 1982, “Euler Equations—Implicit Schemes and Boundary Conditions,” AIAA Paper No. 82-0228.
10. Dorney, D. J., and Verdón, J. M., 1994, “Numerical Simulations of Unsteady Cascade Flows,” ASME Journal of Turbomachinery, Vol. 116, pp. 665-675.
11. Fransson, T. H., 1986, “Numerical Investigation of Unsteady Subsonic Compressible Flows Through Vibrating Cascades,” Thesis, Communication du Laboratoire de Thermique Appliquée et de Turbomachines, 12, EPFL, Lausanne.
12. Gerolymos, G. A., 1988, “Numerical Integration of the Blade-to-Blade Surface Euler Equations in Vibrating Cascades,” AIAA J., Vol. 26, pp. 1483-1492.
13. Gerolymos, G. A., and Vallet, I., 1994, “Validation of Three-Dimensional Euler Methods for Vibrating Cascade Aerodynamics,” ASME Journal of Turbomachinery, Vol. 118, pp. 771-782.
14. Giles, M., and Haimes, R., 1993, “Validation of a Numerical Method for Unsteady flow Calculations,” ASME Journal of Turbomachinery, Vol. 115, pp. 110-117.
15. Hall, K. C., and Crawley, E. F., 1989, “Calculation of Unsteady Flows in Turbomachinery Using the Linearized Euler Equations,” AIAA J., Vol. 27, pp. 777-787.
16. He, L., 1990, “An Euler Solution for Unsteady Flows Around Oscillating Blades,” ASME Journal of Turbomachinery, Vol. 112, pp. 714-722.
17. 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. 469-476.
18. Huff, D. L., 1991, “Unsteady Flow Field Predictions for Oscillating Cascades,” Proc. 6th International Symposium on Unsteady Aerodynamics, Aeroacoustics and Aeroelasticity of Turbomachines and Propellers, University of Notre Dame, USA, Sept. 15-19.
19. Kahl, G., and Klose, A., 1993, “Computation of the Linearized Transonic Flow in Oscillating Cascades,” ASME Paper No. 93-GT-269.
20. Liou, M. S., and Steffen, C. J., Jr., 1993, “A New Flux Splitting Scheme,” J. Comp. Phys., Vol. 107, pp. 23-39.
21. Peitsch, D., Gallus, H. E., and Kau, H. P., 1991, “Prediction of Unsteady 2D Flow in Turbomachinery Bladings,” Proc. 6th International Symposium on Unsteady Aerodynamics, Aeroacoustics and Aeroelasticity of Turbomachines and Propellers, University of Notre Dame, USA, Sept. 15-19.
22. Peitsch, D., Gallus, H. E„ and Weber, S., 1994, “Computation of Unsteady Transonic 3D-Flow in Turbomachine Bladings,” Proc. 7th International Symposium on Unsteady Aerodynamics and Aeroelasticity of Turbomachines, Fukuoka, Japan, Sept. 25-29.
23. Rai, M. M„ 1985, “Navier-Stokes Simulations of Rotor-Stator Interaction Using Patched and Overlaid Grids,” AIAA Paper No. 85-1519.
24. Sidén, L. D. G., 1991, “Numerical Simulation of Unsteady Viscous Compressible Flows Applied to Blade Flutter Analysis,” ASME No. Paper 91-GT-203.
25. Steger, J. L., and Warming, R. F., 1981, “Flux Vector Splitting of the Inviscid Gasdynamic Equations With Application to Finite-Difference Methods,” J. Comp. Phys., Vol. 40, pp. 263-293.
26. van Leer, B., 1979, “Towards the Ultimate Conservative Difference Scheme, V. A Second Order Sequel to Godunov’s Method,” J. Comp. Phys., Vol. 32, pp. 101-136.
27. van Leer, B„ 1982, “Flux Vector Splitting for the Euler Equations,” ICASE Report No. 82-30.
28. Verdón, J. M., and Caspar, J. K., 1984, “A Linear Aerodynamic Analysis for Unsteady Transonic Cascades,” NASA-CR 3833.
29. Whitehead, D. S., and Grant, R. J., 1980, “Force and Moment Coefficients for High-Deflection Cascades,” Proc. 2nd Symposium for Aeroelasticity of Turbomachines, EPFL, Lausanne.