Adaptation of aeroelastic reduced-order models and application to an F-16 configuration

AIAA Journal

Volumn 45, Issue 6, 2007, Pages 1244-1257

  Lieu, Thuan ^a,b,c   Farhat, Charbel ^a,b,c  

^a STANFORD UNIVERSITY   (United States)

^b Institute for Computational and Mathematical Engineering   (United States)

^c AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ORTHOGONAL DECOMPOSITION METHODS; TRANSONIC FLIGHT REGIME;

ANGLE OF ATTACK; COMPUTATIONAL EFFICIENCY; COMPUTER SIMULATION; FLIGHT DYNAMICS; MACH NUMBER; VECTORS;

FIGHTER AIRCRAFT;

EID: 34347218566     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/1.24512     Document Type: Article

References (45)

1. Sadeghi, M., and Liu, F., "Investigation of Non-Linear Flutter by a Coupled Aerodynamics and Structural Dynamics Method," AIAA Paper 2001-0573, 2001.
2. Liu, F., Cai, J., and Zhu, Y., "Calculation of Wing Flutter by a Coupled Fluid-Structure Method," Journal of Aircraft, Vol. 38, No. 2, 2001, pp. 334-342.
3. Geuzaine, P., Brown, G., Harris, C., and Farhat, C., "Aeroelastic Dynamic Anlysis of a Full F-16 Configuration for Various Flight Conditions," AIAA Journal, Vol. 41, No. 3, 2003, pp. 363-371.
4. Farhat, C., Geuzaine, P., and Brown, G., "Application of a Three-Field Nonlinear Fluid-Structure Formulation to the Prediction of the Aeroelastic Parameters of an F-16 Fighter," Computers and Fluids, Vol. 32, No. 1, 2003, pp. 3-29.
5. Ashley, H., and Zartarian, G., "Piston Theory-A New Aerodynamic Tool for the Aeroelastician," Journal of Aerospace Sciences, Vol. 23, No. 12, 1956, pp. 1109-1118.
6. Albano, E., and Rodden, W., "A Doublet-Lattice Method for Calculating Lift Distribution on Oscillating Surfaces in Subsonic Flow," AIAA Journal, Vol. 7, No. 2, 1969, pp. 279-285.
7. Yurkovich, R. N., Liu, D. D., and Chen, P. C., "The State-Of-The-Art of Unsteady Aerodynamics for High Performance Aircraft," AIAA Paper 2001-0428, 2001.
8. Romanowski, M. C., "Reduced Order Unsteady Aerodynamic and Aeroelastic Models Using Karhunen-Loeve Eigenmodes," 6th AIAA/IISAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, AIAA, Reston, VA, Sept. 1996, pp. 7-13.
9. Kim, T., "Frequency-Domain Karhunen-Loeve Method and Its Application to Linear Dynamic Systems," AIAA Journal, Vol. 36, No. 11, 1998, pp. 2117-2123.
10. Hall, K. C., Thomas, J. P., and Dowell, E. H., "Reduced-Order Modelling of Unsteady Small-Disturbance Flows Using a Frequency Domain Proper Orthogonal Decomposition Technique," AIAA Paper 99-16520, 1999.
11. Hall, K. C., Thomas, J. P., and Dowell, E. H., "Proper Orthogonal Decomposition Technique for Transonic Unsteady Aerodynamic Flows," AIAA Journal, Vol. 38, No. 2, Oct. 2000, pp. 1853-1862.
12. [121 Willcox, K., and Peraire, J., "Balanced Model Reduction via the Proper Orthogonal Decomposition," AIAA Journal, Vol. 40, No. 11, Nov. 2002, pp. 2323-30.
13. Kim, T., and Bussoletti, J. E., "An Optimal Reduced-Order Aeroelastic Modeling Based on a Response-Based Modal Analysis of Unsteady CFD Models," AIAA Paper 2001-1525, 2001.
14. Epureanu, B. I., "A Parametric Analysis of Reduced Order Models of Viscous Flows in Turbomachinery," Journal of Fluids and Structures, Vol. 17, No. 7, 2003, pp. 971-982.
15. Thomas, J. P., Dowell, E. H., and Hall, K. C., "Three-Dimensional Transonic Aeroelasticity Using Proper Orthogonal Decomposition-Based Reduced Order Models," Journal of Aircraft, Vol. 40, No. 3, 2003, pp. 544-551.
16. Lieu, T., and Lesoinne, M., "Parameter Adaptation of Reduced Order Models for Three-Dimensional Flutter Analysis," AIAA Paper 2004-0888, 2004.
17. Cizmas, P. G. A., and Palacios, A., "Proper Orthogonal Decomposition of Turbine Rotor-Stator Interaction," Journal of Propulsion and Power, Vol. 19, No. 2, March 2003, pp. 268-281.
18. Spitler, J. E., "Initial Studies of Low-Order Turbulence Modeling of the Wind Turbine In-Flow Environment," AIAA Paper 2004-1004, 2004.
19. Karhunen, K., "Zur Spektraltheorie Stochastischer Prozesse," Ann. Acad. Sci. Fennicae, Vol. 34, 1946.
20. Loeve, M., "Functions aléatoire de second ordere," Comptes Rendus de l'Academie des Sciences, Vol. 220, 1945.
21. Beran, P. S., and Pettit, C. L., "Prediction of Nonlinear Panel Response Using Proper Orthogonal Decomposition," AIAA Paper 2001-1292, 2001.
22. Hong, M., Bhatia, K., SenGupta, G. T. K., Kuruvila, G., Silva, W., Bartels, R., and Biedrem, R., "Simulations of a Twin-Engine Transport Flutter Model in the Transonic Dynamics Tunnel," International Forum On Aeroelastic and Structural Dynamics, IFAS Paper D 2003-US-44, 2003.
23. Lieu, T., Farhat, C., and Lesoinne, M., "Reduced-Order Fluid/Structure Modeling of a Complete Aircraft Configuration," Computer Methods in Applied Mechanics and Engineering, Vol. 195, Nos. 41-43, 2006, pp. 5730-5742.
24. Silva, W., and Raven, D. E., "Development of Unsteady Aerodynamic State-Space Models from CFD-Based Pulse Responses," AIAA Paper 2001-1213, 2001.
25. Lieu, T., "Adaptation of Reduced Order Models for Applications in Aeroelasticity," Ph.D. Thesis, University of Colorado at Boulder, Boulder, CO, 2004.
26. Epureanu, B. I., Dowell, E., and Hall, K., "Mach Number Influence on Reduced-Order Models of Inviscid and Potential Flows in Turbomachinery," Journal of Fluids Engineering, Vol. 124, No. 4. 2002. pp. 977-987.
27. Lieu, T., Farhat, C., and Lesoinne, M., "POD-Based Aeroelastic Analysis of a Complete F-16 Configuration: ROM Adaptation and Demonstration," AIAA Paper 2005-2295, 2005.
28. Lieu, T., and Farhat, C., "Adaptation of POD-Based Aeroelastic ROMs for Varying Mach Number and Angle of Attack: Application to a Complete F-16 Configuration," AIAA Paper 2005-7666, 2005.
29. Farhat, C., Lesoinne, M., and Maman, N., "Mixed Explicit/Implicit Time Integration of Coupled Aeroelastic Problems: Three-Field Formulation, Geometric Conservation and Distributed Solution," International Journal for Numerical Methods in Fluids, Vol. 21, No. 10, 1995, pp. 807-835.
30. Lesoinne, M., Sarkis, M., Hetmaniuk, U., and Farhat, C., "A Linearized Method for the Frequency Analysis of Three-Dimensional Fluid/Structure Interaction Problems in All Flow Regimes," Computer Methods in Applied Mechanics and Engineering, Vol. 190, Nos. 24-25, 2001, pp. 3121-3146.
31. Sirovich, L., "Turbulence and the Dynamics of Coherent Structures. Part 1 : Coherent Structures," Quarterly of Applied Mathematics, Vol. 45, No. 3, Oct. 1987, pp. 561-571.
32. Degand, C., and Farhat, C., "A Three-Dimensional Torsional Spring Analogy Method for Unstructured Dynamic Meshes," Computers and Structures, Vol. 80, Nos. 3-4, 2002, pp. 305-316.
33. Farhat, C., Lesoinne, M., and LeTallec, P., "Load and Motion Transfer Algorithms for Fluid/Structure Interaction Problems with Non-Matching Discrete Interfaces: Momentum and Energy Conservation, Optimal Discretization and Application to Aeroelasticity," Computer Methods in Applied Mechanics and Engineering, Vol. 157, Nos. 1-2, 1998, pp. 95-114.
34. Lesoinne, M., and Farhat, C., "CFD-Based Aeroelastic Eigensolver for the Subsonic, Transonic, and Supersonic Regimes," Journal of Aircraft, Vol. 38, No. 4, 2001, pp. 628-635.
35. Holmes, P., Lumley, J. L., and Berkooz, G., Turbulence, Coherent Structures, Dynamical Systems and Symmetry, Cambridge Univ. Press, Cambridge, U.K., 1996.
36. Lumley, J. L., "The Structure of Inhomogeneous Turbulence," Atmospheric Turbulence and Wave Propagations, edited by A. Yaglom and V. Tatarski, Nauka, Moscow, 1967, pp. 166-178.
37. Heran, P., "Reduced-Order Modeling: New Approaches for Computational Physics," AIAA Paper 2001-0853, 2001.
38. Bui-Thanh, T., and Willcox, K., "Model Reduction for Large-Scale CFD Applications Using the Balanced Proper Orthogonal Decomposition," AIAA Paper 20054617, 2005.
39. Taylor, J., "Dynamics of Large Scale Structures in Turbulent Shear Layers," Ph.D. Thesis, Clarkson University, Potsdam, NY, 2001.
40. Taylor, J., and Glauser, M., "Towards Practical Flow Sensing and Control via POD and LSE Based Low-Dimensional Tools," 2002 ASME Fluids Engineering Division Summer Meeting, ASME, Fairfield, NJ, 2002, pp. 1-9.
41. Schmidt, R., and Glauser, M., "Improvements in Low Dimensional Tools for Flow-Structure Interaction Problems: Using Global Pod," AIAA Paper 2004-0889, 2004.
42. Björck, Å., and Golub, G. H., "Numerical Methods for Computing Angles Between Linear Subspaces," Mathematics of Computation, Vol. 27, No. 123, 1973, pp. 579-594.
43. Klinisch, K., and Volkwein, S., "Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics," SIAM Journal on Numerical Analysis, Vol. 40, No. 2, 2002, pp. 492-515.
44. Rathinam, M., and Petzold, L., "A New Look at Proper Orthogonal Decomposition," SIAM Journal on Numerical Analysis, Vol. 41, No. 5, 2003, pp. 1893-1925.
45. Peterson, L., and Crawley, E., "Improved Exponential Time Series Approximation of Unsteady Aerodynamic Operators," Journal of Aircraft, Vol. 25, No. 2, 1988, pp. 121-127.