Effects of flow instabilities on the linear analysis of turbomachinery aeroelasticity

Journal of Propulsion and Power

Volumn 19, Issue 2, 2003, Pages 250-259

  Campobasso, M Sergio ^a   Giles, Michael B ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMICS; CODES (STANDARDS); ITERATIVE METHODS; LINEARIZATION; NUMERICAL METHODS; UNSTEADY FLOW;

FLOW INSTABILITIES; LINEAR ANALYSIS; NONLINEAR STEADY SOLVER;

TURBOMACHINERY;

EID: 0037359706     PISSN: 07484658     EISSN: 15333876     Source Type: Journal    
DOI: 10.2514/2.6106     Document Type: Article

References (22)

1. Verdon, J. M., "Review of Unsteady Aerodynamic Methods for Turbomachinery Aeroelastic and Aeroacoustic Applications," AIAA Journal, Vol. 31, No. 2, 1993 pp. 235-250.
2. Verdon, J. M., and Caspar, J. R., "A Linearized Unsteady Aerodynamic Analysis for Transonic Cascades," Journal of Fluid Mechanics, Vol. 149, Dec. 1984, pp. 403-429.
3. Hall, K. C., "Deforming Grid Variational Principle for Unsteady Small Disturbance Flows in Cascades," AIAA Journal, Vol. 31, No. 5, 1993, pp. 891-900.
4. Marshall, J. G., and Imregun, M., "A Review of Aeroelasticity Methods with Emphasis on Turbomachinery Applications," Journal of Fluid and Structures, Vol. 10, 1996, pp. 237-267.
5. Hoyniak, D., and Clark, W. S., "Aerodynamic Damping Predictions Using a Linearized Navier-Stokes Analysis," American Society of Mechanical Engineers, ASME Paper 99-GT-207, June 1999.
6. Clark, W. S., and Hall, K. C., "A Time-Linearized Navier-Stokes Analysis of Stall Flutter," Journal of Turbomachinery, Vol. 122, No. 3, 2000, pp. 467-476.
7. Hall, K. C., Clark, W. S., and Lorence, C. B., "A Linearized Euler Analysis of Unsteady Transonic Flows in Turbomachinery," Journal of Turbomachinery, Vol. 116, No. 3, 1994, pp. 477-488.
8. Sbardella, L., and Imregun, M., "Linearized Unsteady Viscous Turbomachinery Flows Using Hybrid Grids," Journal of Turbomachinery, Vol. 123, No. 3, 2001, pp. 568-582.
9. Campobasso, M. S., and Giles, M. B., "Analysis of the Effect of Mistuning on Turbomachinery Aeroelasticity," Proceedings of the IX International Symposium on Unsteady Aerodynamics, Aeroacoustics and Aeroelasticity in Turbomachines, Presses Universitaires de Grenoble, Grenoble, France, 2000, pp. 885-896.
10. Moinier, P., Müller, J. D., and Giles, M. B., "Edge-Based Multigrid and Preconditioning," AIAA Journal, Vol. 40, No. 10, 2002, pp. 1954-1960.
11. Duta, M. C., Gelis, M. B., and Campobasso, M. S. "The Harmonic Adjoint Approach to Unsteady Turbomachinery Design," International Journal for Numerical Methods in Fluids, Vol. 40, Oct. pp. 323-332.
12. Giles, M. B., Duta, M. C., and Mü;ler, J. D., "Adjoint Code Developments Using the Exact Discrete Approach," AIAA Journal, Vol. 41 No. 2, 3003.
13. Saad, Y., "GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems," SIAM Journal on Scientific and Statistical Computing, Vol. 7, No. 3, 1986, pp. 856-869.
14. Moinier, P., "Algorithm Developments for an Unstructured Viscous Flow Solver," Ph.D. Dissertation, Oxford University Computing Laboratory, Oxford Univ., Oxford, England, U.K., Dec. 1999.
15. Duta, M. C., "The Use of the Adjoint Method for the Minimization of Forced Response," Ph.D. Dissertation, Oxford University Computing Laboratory, Oxford Univ., Oxford, England, U.K., March 2001.
16. Ni, R. H., and Sisto, F., "Numerical Computation of Nonstationary Aerodynamics of Flat Plate Cascades in Compressible Flow," Journal of Engineering for Power, Vol. 98, No. 2, 1976, pp. 165-170.
17. Giles, M. B., "Nonreflecting Boundary Conditions for Euler Equation Calculations," AIAA Journal, Vol. 28, No. 12, 1990, pp. 2050-2058.
18. Fransson, T. H., Joeker, M., Boelcs, A., and Ott, P., "Viscous and Inviscid Linear/Nonlinear Calculations Versus Quasi Three-Dimensional Experimental Cascade Data for a New Aeroelastic Turbine Standard Configuration," Journal of Turbomachinery, Vol. 121, No. 4, 1999, pp. 717-725.
19. Campobasso, M. S., and Giles, M. B., "Stabilization of a Linearized Navier-Stokes Solver for Turbomachinery Aeroelasticity," Proceedings of the II International Conference on Computational Fluid Dynamics, Springer-Verlag, Heidelberg, Univ. of Sydney, Sydney, NSW, Australia, 2002.
20. Pueyo, A., and Zingg, D. W., "Efficient Newton-Krylov Solver for Aerodynamic Computations," AIAA Journal, Vol. 36, No. 11, 1998, pp. 1991-1997.
21. Ning, W., and He, L., "Some Modeling Issues on Trailing-Edge Vortex Shedding," AIAA Journal, Vol. 39, No. 5, 2001, pp. 787-793.
22. Glendinning, P., "Stability, Instability and Chaos," Bifurcation Theory: Stationary Points, Cambridge Univ. Press, Cambridge, England, U.K., 1994, pp. 224-246.