An Arnoldi approach for generation of reduced-order models for turbomachinery

Computers and Fluids

Volumn 31, Issue 3, 2002, Pages 369-389

  Willcox, K ^a   Peraire, J ^a   White, J ^b  

^a Massachusetts Institute of Technology Cambridge   (United States)

^b USA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMICS; DEGREES OF FREEDOM (MECHANICS); FREQUENCY DOMAIN ANALYSIS; ROTORS; STATE SPACE METHODS; TIME DOMAIN ANALYSIS;

ORTHOGONAL DECOMPOSITION;

TURBOMACHINE BLADES;

AERODYNAMICS; AEROELASTICITY; COMPUTATIONAL MODEL; FLOW MODELING; TURBOMACHINERY;

EID: 0036497380     PISSN: 00457930     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0045-7930(01)00046-9     Document Type: Article

References (15)

1. Whitehead DS. Classical two-dimensional methods. AGARD manual on aeroelasticity in axial-flow turbomachines. Unsteady Turbomachinery Aerodynamics, vol. 1. 1987.
2. Verdon JM. Review of unsteady aerodynamic methods for turbomachinery aeroelastic and aeroacoustic applications. AIAA J 1993;31(2):235-50.
3. Hall KC. A Iinearized Euler analysis of unsteady flows in turbomachinery. PhD thesis, Department of Aeronautics and Astronautics, MIT, 1987.
4. Dowell EH, Hall KC, Thomas JP, Florea R, Epureanu BI, Heeg J. Reduced order models in unsteady aerodynamics. AIAA Paper 99-1261, 1999.
5. Sirovich L. Turbulence and the dynamics of coherent structures. Part I: coherent structures. Quarter Appl Math 1987;45(3):561-71.
6. Berkooz G, Holmes P, Lumley JL. The proper orthogonal decomposition in the analysis of turbulent flows. Ann Rev Fluid Mech 1993;25:539-75.
7. Willcox KE, Paduano JD, Peraire J, Hall KC. Low order aerodynamic models for aeroelastic control of turbomachines. AIAA Paper 99-1467, 1999.
8. Tang KY, Graham WR, Peraire J. Active flow control using a reduced order model and optimum control. AIAA Paper 96-1946, 1996.
9. Trefethen LN, Bau D. Numerical linear algebra. Philadelphia, PA: SIAM; 1997.
10. Feldmann P, Freund RW. Efficient linear circuit analysis by Padé approximation via the Lanczos process. IEEE Trans Comput Aid Des Integrat Circ Sys 1995;14:639-49.
11. Silveira LM, Kamon M, Elfadel I, White J. A coordinate-transformed Arnoldi algorithm for generating guaranteed stable reduced-order models of RLC circuits. Comput Meth Appl Mech Engng 1999;169(3-4):377-89.
12. Willcox KE. Aeroelastic computations in the time domain using unstructured meshes. Master's Thesis, Department Aeronautics and Astronautics, MIT, 1996.
13. Willcox KE. Reduced-order aerodynamic models for aeroelastic control of turbomachines. PhD thesis, Department of Aeronautics and Astronautics, MIT, 2000.
14. Dugundji J, Bundas DJ. Flutter and forced response of mistuned rotors using standing wave analysis. AIAA J 1984;22(11):1652-61.
15. Grimme E. Krylov projection methods for model reduction. PhD thesis, Coordinated-Science Laboratory, University of Illinois at Urbana-Champaign, 1997.