Reduced order models for closed-loop control of time-dependent flows

Collection of Technical Papers - 44th AIAA Aerospace Sciences Meeting

Volumn 22, Issue , 2006, Pages 16872-16893

  Gross, A ^a,b   Fasel, H F ^a,b  

^a UNIVERSITY OF ARIZONA   (United States)

^b AIAA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FEEDBACK CONTROL; FLOW CONTROL; GALERKIN METHODS; NAVIER STOKES EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS;

MODEL COEFFICIENTS; PROPER ORTHOGONAL DECOMPOSITION (POD); REDUCED ORDER MODELS (ROMS);

CLOSED LOOP CONTROL SYSTEMS;

EID: 34250864927     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2006-1403     Document Type: Conference Paper

References (25)

1. Joslin, R.D., Gunzburger, M.D., Nicolaides, R.A., Erlebacher, G., Hussaini, M.Y., "A self-contained, automated methodology for optimal flow control validated for transition delay," ICASE-1995-64, 1995
2. Bewley, T.R., Moin, P., Temam, R., "DNS-based predictive control of turbulence: an optimal benchmark for feedback algorithms," J. Fluid Mech. Vol. 447, 2001, pp. 179-225
3. Glauser, M.N., Higuchi, H., Ausseur, J., Pinier, J., Carlson, H., "Feedback Control of Separated Flows," AIAA paper AIAA-2004-2521, June/July 2004
4. Pastoor, M., King, R., Noack, B.R., Dillmann, A., Tadmor, G., "Model-Based Coherent-Structure Control of Turbulent Shear Flows Using Low-Dimensional Vortex Models," AIAA paper AIAA 2003-4261, June 2003
5. Gerhard, J., Pastoor, M., King, R., Noack, B.R., Dillmann, A., Morzyński, M., Tadmor, G., "Model-based control of vortex shedding using low-dimensional Galerkin models," AIAA paper AIAA 2003-4262, June 2003
6. Noack, B.R., Afanasiev, M.M., Tadmor, G., Thiele, F., "A hierarchy of low-dimensional models for the transient and post-transient cylinder wake," J. Fluid Mech., vol. 497, pp. 335-363, 2003
7. Noack, B.R., Tadmor, G., Morzyński, M., "Low-Dimensional Models For Feedback Flow Control. Part I: Empirical Galerkin models," AIAA-2004-2408, June-July 2004
8. Tadmor, G., Noack, B.R., Morzyński, M., Siegel, S., "Low-Dimensional Models For Feedback Flow Control. Part II: Control Design and Dynamic Estimation," AIAA-2004-2409, June-July 2004
9. Morzyński, M., Afanasiev, K., Thiele, F., "Solution of the eigenvalue problems resulting from global non-parallel flow stability analysis," Comput. Methods Appl. Mech. Engr., Vol. 169, pp. 161-176, 1999
10. King, R., Becker, R., Garwon, M., Henning, L., "Robust and adaptive closed-loop control of separated shear flows," AIAA-2004-2519, June-July 2004
11. Gross, A., Fasel, H.F., "Active Control of Separation for Low-Pressure Turbine Blades," AIAA-paper 2004-2203, June-July 2004
12. Gross, A., Fasel, H.F., "Simulation of Active Flow Control for a Low Pressure Turbine Blade Cascade," AIAA-paper 2005-0869, January 2005
13. Lumley, J.L., "The Structure of Inhomogeneous Turbulent Flows," Atmospheric turbulence and radio wave propagation, Nauka, Moscow and Toulouse, France, eds. A.M. Yaglom and V.I. Tatarsky, 1967, pp. 166-178
14. Sirovich, L., "Turbulence and the Dynamics of Coherent Structures," Quarterly of Applied Mathematics, Vol. XLV, No. 3, 1987, pp. 561-590
15. Aubry, N., Holmes, P., Lumley, J.L., Stone, E., "The dynamics of coherent structures in the wall region of a turbulent boundary layer," J. Fluid Mech., Vol. 192, pp. 115-173, 1988
16. Ukeiley, L., Cordier, L., Manceau, R., Delville, J., Glauser, M., Bonnet, J.P., "Examination of large-scale structures in a turbulent plane mixing layer. Part 2. Dynamical systems model," J. Fluid Mech., Vol. 441, pp. 67-108, 2001
17. Gillies, E.A., "Low-dimensional control of the circular cylinder wake," J. Fluid Mech., Vol. 371, pp. 157-178, 1998
18. Ausseur, J.M., Pinier, J.T., "Towards Closed-Loop Feedback Control of the Flow over NACA-4412 Airfoil," AIAA-paper 2005-0343, Jan. 2005
19. Iollo, A., Lanteri, S., Désidéri, J.-A., "Stability Properties of POD-Galerkin Approximations for the Compressible Navier-Stokes Equations," Theoret. Comput. Fluid Dynamics, Vol. 13, pp. 377-396, 2000
20. Rowley, C.W., Colonius, T., Murray, R.M., "Model reduction for compressible flows using POD and Galerkin projection," Physica D, Vol. 189, pp. 115-129, 2004
21. Couplet, M., Basdevant, C., Sagaut, P., "Calibrated reduced-order POD-Galerkin system for fluid flow modelling," J. Comp. Phys., Vol. 207, pp. 192-220, 2005
22. Sirisup, S., Karniadakis, G.E., "A spectral viscosity method for correcting the long-term behavior of POD modes," J. Comp. Phys., Vol. 194, pp. 92-116, 2004.
23. Prudhomme, S., Le Letty, L., "A Low-Order Model-Following Strategy for Active Flow Control," IUTAM Symposium on Mechanics of Passive and Active, pp. 355-366, 1999, Kluwer Academic Press, Netherlands, eds. G.E.A. Meier and P.R. Viswanath
24. Schlichting, H., Gersten, K., "Boundary Layer Theory," Springer, 2004
25. Rempfer, D., "Low-dimensional modeling and numerical simulation of transition in simple shear flows," Annual Rev. Fluid Mech., Vol. 35, pp. 229-265, 2003