Nonlinear estimation of transient flow field low dimensional states using artificial neural nets

Expert Systems with Applications

Volumn 39, Issue 1, 2012, Pages 1264-1272

  Cohen, Kelly ^a   Siegel, Stefan ^b   Seidel, Jürgen ^b   Aradag, Selin ^c   McLaughlin, Thomas ^b  

^a University of Cincinnati   (United States)

^b UNITED STATES AIR FORCE ACADEMY   (United States)

^c TOBB UNIVERSITY OF ECONOMICS AND TECHNOLOGY   (Turkey)

Author keywords

ANNE; DPOD; Flow control; Low dimensional modeling; Turbulent cylinder wake

Indexed keywords

ABSOLUTE INSTABILITY; ANNE; ARTIFICIAL NEURAL NET; ARTIFICIAL NEURAL NETWORK; BLUFF BODY WAKES; COMPUTATIONAL FLUID DYNAMICS SIMULATIONS; DPOD; FEEDBACK FLOW CONTROL; LOW DIMENSIONAL; LOW-DIMENSIONAL MODELING; LOW-DIMENSIONAL MODELS; MODE AMPLITUDES; NON-LINEAR ESTIMATION; PROPER ORTHOGONAL DECOMPOSITIONS; SENSOR CONFIGURATIONS; SENSOR PLACEMENT; SPATIAL MODES; STATE-OF-THE-ART APPROACH; STOCHASTIC ESTIMATORS; STREAMWISE VELOCITY; TURBULENT CYLINDER WAKE;

CIRCULAR CYLINDERS; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; ESTIMATION; FLOW CONTROL; FLOW FIELDS; NONLINEAR FEEDBACK; PRINCIPAL COMPONENT ANALYSIS; REYNOLDS NUMBER; SENSORS; STOCHASTIC SYSTEMS; STREAM FLOW; WAKES;

NEURAL NETWORKS;

EID: 81855208944     PISSN: 09574174     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.eswa.2011.07.135     Document Type: Article

References (30)

1. R.J. Adrian On the role of conditional averages in turbulence theory Proceedings of the fourth biennial symposium on turbulence in liquids 1977 Science Press Princeton
2. Ausseur, J.M.; Pinier, J.T.; Glauser, M.N.; Higuchi, H.; & Carlson, H. (2006). Experimental development of a reduced-order model for flow separation control. AIAA Paper 2006-1251.
3. Cohen, K.; Siegel, S.; & Mclaughlin, T. (2004). Control issues in reduced-order feedback flow control, Invited Lecture at session titled Closed-Loop Flow Control: Algorithms and Applications. AIAA Paper 2004-0575.
4. Cohen, K.; Siegel, S.; Seidel, J.; & Mclaughlin, T. (2006). Low dimensional modeling, estimation and control of a cylinder wake. In Invited lecture at Invited Session organized by Dr. James Myatt of AFRL/VA called Order Reduction and Control for Aerodynamics, 45th IEEE Conference on Decision and Control.
5. Cohen, K.; Siegel, S.; Seidel, J.; & Mclaughlin, T. (2006B). Reduced order modeling for closed-loop control of three dimensional wakes. AIAA Paper 2006-3356.
6. K. Cohen, S. Siegel, and T. Mclaughlin A heuristic approach to effective sensor placement for modeling of a cylinder wake Computers and Fluids 35 1 2006 103 120
7. Cohen, K.; Siegel, S.; Seidel, J.; & Mclaughlin, T. (2006D). Low dimensional modeling, estimation and control of a cylinder wake. In Invited lecture at Session "Order Reduction and Control for Aerodynamics, 45th IEEE Conference on Decision and Control.
8. Cohen, K.; Siegel, S.; Seidel, J.; Aradag, S.; & Mclaughlin, T. (2007). Nonlinear estimation of transient flow field low dimensional states using double proper orthogonal decomposition. AIAA 2007-2836.
9. Debiasi, M.; Little, J.; Caraballo, E.; Yuan, X.; Serrani, A.; Myatt, J.H.; & Samimy, M. (2006). Influence of stochastic estimation on the control of subsonic cavity flow - A preliminary study. AIAA-2006-3492.
10. E.A. Gillies Low-dimensional control of the circular cylinder wake Journal of Fluid Mechanics 371 1998 157 178
11. P. Holmes, J.L. Lumley, and G. Berkooz Turbulence, Coherent Structures, Dynamical Systems and Symmetry 1996 Cambridge University Press Cambridge
12. G. Koopmann The vortex wakes of vibrating cylinders at low Reynolds numbers Journal of Fluid Mechanics 28 3 1967 501 512
13. L. Ljung System Identification: Theory for the User second ed. 1999 Prentice Hall Upper Saddle, NJ, USA
14. C. Min, and H. Choi Suboptimal feedback control of vortex shedding at low Reynolds numbers Journal of Fluid Mechanics 401 1999 123 156
15. Murray, N.E.; & Ukeiley, L.S. (2002). Estimating the shear layer velocity field above an open cavity from surface pressure measurements. AIAA Paper 2002-2866.
16. O. Nelles Nonlinear System Identification 2001 Springer-Verlag Berlin, Germany
17. Noack, B.R.; Tadmor, G.; and Morzynski, M. (2004). Low-dimensional models for feedback flow control. Part I: Empirical Galerkin models. AIAA Paper 2004-2408.
18. K. Noack, Afanasiev, M. Morzynski, and F. Thiele A hierarchy of low dimensional models for the transient and post-transient cylinder wake Journal of Fluid Mechanics 497 2003 335 363
19. rd printing
20. H. Oertel Jr. Wakes behind blunt bodies Annual Review of Fluid Mechanics 22 1990 539 564
21. R.L. Panton Incompressible Flow second ed. 1996 John Wiley & Sons New York
22. D.S. Park, D.M. Ladd, and E.W. Hendricks Feedback control of a global mode in spatially developing flows Physics Letters A 182 1993 244 248
23. K. Roussopoulos Feedback control of vortex shedding at low Reynolds numbers Journal of Fluid Mechanics 248 1993 267 296
24. Shin, Y.; Cohen, K.; Siegel, S.; Seidel, J.; & Mclaughlin, T. (2006). Neural network estimator for closed-loop control of a cylinder wake. AIAA Paper 2006-6428.
25. Siegel, S.; Cohen, K.; Seidel, J.; & Mclaughlin, T. (2005). Short time proper orthogonal decomposition for state estimation of transient flow fields. AIAA Paper 2005-0296.
26. S. Siegel, K. Cohen, and T. Mclaughlin Numerical simulations of a feedback controlled circular cylinder wake AIAA Journal 44 6 2006 1266 1276
27. Siegel, S.; Cohen, K.; Seidel, J.; & Mclaughlin, T. (2006B). State estimation of transient flow fields using double proper orthogonal decomposition (DPOD). presented at the International Conference on Active Flow Control, Berlin, Germany.
28. L. Sirovich Turbulence and the dynamics of coherent structures Part I: Coherent structures Quarterly of Applied Mathematics 45 3 1987 561 571
29. Strang, W.Z.; Tomaro, R.F.; Grismer, M.J. (1999). The Defining Methods of Cobalt60: A Parallel, Implicit, Unstructured Euler/Navier-Stokes Flow Solver. AIAA 99-0786.
30. C.H.K. Williamson Vortex dynamics in the cylinder wake Annual Review on Fluid Mechanics 8 1996 477 539