Unsteady flow sensing and estimation via the gappy proper orthogonal decomposition

2nd AIAA Flow Control Conference

Volumn , Issue , 2004, Pages

  Willcox, K ^a,b  

^a Massachusetts Institute of Technology Cambridge   (United States)

^b NONE

Author keywords

[No Author keywords available]

Indexed keywords

FLOW CONTROL; NUMBER THEORY; PRINCIPAL COMPONENT ANALYSIS;

DYNAMIC APPLICATIONS; FLOW RECONSTRUCTION; INCOMPLETE DATA SETS; PROPER ORTHOGONAL DECOMPOSITIONS; SENSOR CONFIGURATIONS; SMALL NUMBER OF SENSORS; SURFACE PRESSURE MEASUREMENTS; UNSTEADY FLOW SENSING;

UNSTEADY FLOW;

EID: 85087597434     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2004-2415     Document Type: Conference Paper

References (18)

1. Holmes, P., Lumley, J., and Berkooz, G., Turbulence, Coherent Structures, Dynamical Systems and Symmetry, Cambridge University Press, Cambridge, UK, 1996.
2. Sirovich, L. and Kirby, M., "Low-dimensional procedure for the characterization of human faces." Jounal of the Optical Society of America A, 4(3):519-524, 1987.
3. Fukanaga, K., Introduction to Statistical Pattern Recognition, Academic Press, New York, 1972.
4. Sirovich, L., "Turbulence and the Dynamics of Coherent Structures. Part 1: Coherent Structures," Quarterly of Applied Mathematics, Vol. 45, No. 3, October 1987, pp. 561-571.
5. Romanowski, M., "Reduced Order Unsteady Aerodynamic and Aeroelastic Models using Karhunen-Lóeve Eigenmodes," AIAA Paper 96-194, 1996.
6. Dowell, E., Hall, K., Thomas, J., Florea, R., Epure-anu, B., and Heeg, J., "Reduced Order Models in Unsteady Aerodynamics," AIAA Paper 99-1261, 1999.
7. Ffowcs Williams, J. and Huang, X., "Active Stabilization of Compressor Surge," Journal of Fluid Mechanics, Vol. 204, 1989, pp. 245-262.
8. Paduano, J., Epstein, A., Valavani, L., Longley, J., Greitzer, E., and Guenette, G., "Active Control of Rotating Stall in a Low-Speed Axial Compressor," Journal of Turbomachinery, Vol. 115, 1993, pp. 48-56.
9. Samimy, M., Debiasi, M., Caraballo, E., Ozbay, H., Efe, M., Yuan, X., DeBonis, J., and Myatt, J., "Development of closed-loop control for cavity flows," AIAA Paper 2003-4258, 2003.
10. Lassaux, G., High-Fidelity Reduced-Order Aerodynamic Models: Application to Active Control of Engine Inlets., Master's thesis, Dept. of Aeronautics and Astronautics, MIT, June 2002.
11. Cohen, K., Siegel, S., and McLaughlin, T., "Sensor placement based on proper orthogonal decomposition modeling of a cylinder wake," AIAA Paper 2003-4259, 2003.
12. Adrian, R., "On the Role of Conditional Averages in Turbulence Theory," Proceedings of the Fourth Biennial Symposium on Turbulence in Liquids, J. Zakin and G. Patterson (Eds.), pp. 323-332, 1977.
13. Everson, R. and Sirovich, L., "The Karhunen-Loeve Procedure for Gappy Data," J.Opt.Soc.Am., 12: 1657-1664, 1995.
14. Bui-Thanh, T., Damodaran, M., and Willcox, K., "Proper orthogonal decomposition extensions for parametric applications in transonic aerodynamics," AIAA Paper 2003-4213, 2003.
15. Bui-Thanh, T., Damodaran, M., and Willcox, K., "Aerodynamic Data Reconstruction and Inverse Design using Proper Orthogonal Decomposition," to appear, AIAA Journal, 2004.
16. Willcox, K., Reduced-Order Aerodynamic Models for Aeroelastic Control of Turbomachines, Ph.D. thesis, Dept. of Aeronautics and Astronautics, MIT, February 2000.
17. Kim, T., "Frequency-Domain Karhunen-Loeve Method and Its Application to Linear Dynamic Systems," AIAA Journal, Vol. 36, No. 11, 1998, pp. 2117-2123.
18. Willcox, K. and Peraire, J., "Balanced Model Reduction via the Proper Orthogonal Decomposition," AIAA Journal, Vol. 40, No. 11, November 2002, pp. 2323-30.