A static/dynamic correction approach for reduced-order modeling of unsteady aerodynamics

39th Aerospace Sciences Meeting and Exhibit

Volumn , Issue , 2001, Pages

  Thomas, Jeffrey P ^a   Dowell, Earl H ^a   Hall, Kenneth C ^a  

^a DUKE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMICS; AEROSPACE ENGINEERING; EIGENVALUES AND EIGENFUNCTIONS; FREQUENCY DOMAIN ANALYSIS; PRINCIPAL COMPONENT ANALYSIS;

APPROXIMATE EIGENVECTORS; CORRECTION APPROACHES; MAXIMUM FREQUENCY; PROPER ORTHOGONAL DECOMPOSITIONS; REDUCED ORDER MODELS; STATIC CORRECTION; STRUCTURAL MODELING; UNSTEADY AERODYNAMICS;

COMPUTATIONAL FLUID DYNAMICS;

EID: 85087594374     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2001-855     Document Type: Conference Paper

References (24)

1. Roger, K. L., Airplane Math Modeling Methods for Active Control Design, AGARD-CP-228, August 1977.
2. Vepa, R., On the Use of Pade Approximates to Represent Unsteady Aerodynamic Loads for Arbitrarily Small Motions of Wings, AIAA Paper 17-76, Jan. 1976.
3. Edwards, J. W., Applications of Laplace Transform Methods to Airfoil Motion and Stability Calculations, AIAA Paper 79-0772, April 1979.
4. Karpel, M., Design for Active Flutter Suppression and Gust Alleviation Using State-Space Aeroelastic Modeling, Journal of Aircraft, Vol. 19, No. 3, 1982, pp. 221-227.
5. Dowell, E. H., and Romanowski, M. C, and Hall, K. C, Eigenmode Analysis in Unsteady Aerodynamics: Reduced Order Models Applied Mechanics Review, Vol. 50, No. 6, 1997, pp. 371-386.
6. Romanowski M. C, and Dowell, E. H., "Using Eigen-modes to Form an Efficient Euler Based Unsteady Aerodynamics Analysis Presented at the ASME Int. Mech. Eng. Congress and Exposition, Chicago IL, Nov. 1994.
7. Hall, K. C, Eigenanalysis of Unsteady Flows About Airfoils, Cascades, and Wings, AIAA Journal, Vol. 32, No. 12, 1994, pp. 2426-2432.
8. Hall, K. C, Florea, R., and Lanzkron, P. J., A Reduced Order Model of Unsteady Flows in Turbomachin-ery, Journal of Turbomackinery, Vol. 117, No. 3 1995, pp. 375-383.
9. Florea, R., and Hall, K. C, Eigenmode Analysis of Unsteady Flows about Airfoils, Journal of Computational Physics, Vol. 147, Dec. 1998, pp. 568-593.
10. Florea, R., and Hall, K. C, and Dowell, E. H., Eigenmode Analysis and Reduced Order Modeling of Unsteady Transonic Full Potential Flow Around Isolated Airfoils", CEAS/AIAA/ICASE/NASA Langley International Forum on Aeroelasticity and Structural Dynamics 1999, Williamsburg, Virginia, June 1999.
11. Dowell, E. H., and Hall, K. C, Thomas, J. P., Florea, R., Reduced Order Models in Unsteady Aerodynamics, Engineering Mechanics, Vol. 6, 1999, No. 4/5, p.229-252
12. Kim, T.,Frequency-Domain Karhunen-Loeve Method and Its Application to Linear Dynamic Systems, AIAA Journal, Vol. 36, No. 11, 1998, pp. 2117-2123.
13. Hall, K. C, Thomas, J. P., and Dowell, E. H., Proper Orthogonal Decomposition Technique for Transonic Unsteady Aerodynamic Flows, AIAA Journal, Vol. 38, No. 10, 2000, pp. 1853-1862.
14. Thomas, J. P., Hall, K. C, and Dowell, E. H., "Reduced-Order Aeroelastic Modeling Using Proper-Orthogonal Decompositions" CEAS/AIAA/ICASE/NASA Langley International Forum on Aeroelasticity and Structural Dynamics 1999, Williamsburg, Virginia, June 1999 (Under Review for the Journal of Aircraft).
15. Godunov, S. K., A Finite Difference Method of the Numerical Computation of Discontinuous Solutions of the Equations of Fluid Dynamics, Matematicheskii Sbornik, Vol. 47, 1959, pp. 357-393.
16. Roe, P. L., Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes, Journal of Computational Physics, Vol. 43, 1981, pp. 357-372.
17. van Leer, B., Towards the Ultimate Conservative Difference Scheme, II. Monotonicity and Conservation Combined in a Second-Order Scheme, Journal of Computational Physics, Vol. 14, 1974, pp. 361-376.
18. Anderson, E., Bai Z., Bischof, C, Blackford, S., Dem-mel, J., Dongarra J., Du Croz J., Greenbaum, A., Ham-marling, S., McKenney, A., and Sorensen, D., LAPACK Users' Guide Third Edition, SIAM, Philadelphia, PA, 1999.
19. Lehoucq, R. B., Sorensen D. C, and Yang C, ARPACK Users' Guide: Solution of Large-Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods, Software, Environments, and Tools 6, SIAM, Philadelphia, PA, 2000.
20. Holmes, P., Lumley, J. L., and Berkooz, G., Turbulence, Coherent Structures, Dynamical Systems and Symmetry. Cambridge University Press, Cambridge, 1996.
21. Yates, E. C, Jr., AGARD Standard Aeroelastic Configurations for Dynamic Response I - Wing 445.6, NASA TM 100492, August 1987; also Proceedings of the 61st Meeting of the Structures and Materials Panel, Germany, AGARD-R-765, 1985, pp. 1-73.
22. Yates, E. C, Jr., Land, N. S., and Foughner, J. T., Jr., Measured and Calculated Subsonic and Transonic Flutter Characteristics of a 45 Deg Sweptback Wing Plan-form in Air and in Freon-12 in the Langley Transonic Dynamics Tunnel, NASA TN D-1616, March 1963.
23. Lee-Rausch, E. M. and Batina, J. T., Wing Flutter Boundary Prediction Using Unsteady Euler Aerodynamic Method, Journal of Aircraft, Vol. 32, No. 2, 1995, pp. 416-422.
24. Gupta, K. K., Development of a Finite Element Aeroelastic Analysis Capability, Journal of Aircraft, Vol. 33, No. 5, 1996, pp. 995-1002.