Proper orthogonal decomposition reconstruction of a transitional boundary layer with and without control

Physics of Fluids

Volumn 16, Issue 8, 2004, Pages 2763-2784

  Gunes, Hasan ^a   Rist, Ulrich ^b  

^a ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

^b UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYERS; DECOMPOSITION; LEAST SQUARES APPROXIMATIONS; NAVIER STOKES EQUATIONS;

ONLINE CONTROL TOOLS; PROPER ORTHOGONAL DECOMPOSITION (POD); SNAPSHOTS; TRANSITIONAL BOUNDARY LAYER;

TRANSITION FLOW;

BOUNDARY FLOW; NAVIER-STOKES EQUATIONS;

EID: 4344697667     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1758151     Document Type: Article

References (30)

1. J. L. Lumley, "The structure of inhomogeneous turbulent flows," in Atmospheric Turbulence and Radio Wave Propagation, edited by A. M. Yaglom and V. I. Tatarski (Nauka, Moscow, 1967), p. 166.
2. P. Holmes, J. L. Lumley, and G. Berkooz, Turbulence, Coherent Structures, Dynamical Systems and Symmetry (Cambridge University Press, Cambridge, 1996).
3. G. Berkooz, P. Holmes, and J. L. Lumley, "The proper orthogonal decomposition in the analysis of turbulent flows," Annu. Rev. Fluid Mech. 25, 539 (1993).
4. L. Sirovich, "Turbulence and the dynamics of coherent structures. I-III," Q. Appl. Math. 45, 561 (1987).
5. D. Rempfer, "On the structure of dynamical systems describing the evolution of coherent structures in a convective boundary layer," Phys. Fluids 6, 1402 (1994).
6. A. Liakopoulos, P. A. Blythe, and H. Gunes, "A reduced dynamical model of convective flows in tall laterally heated cavities," Proc. R. Soc. London, Ser. A 453, 663 (1997).
7. C. Jing, D. Henry, H. B. Hadid, and N. Imaishi, "Low-order dynamical model for low-Prandtl number fluid flow in a laterally heated cavity," Phys. Fluids 15, 2152 (2003).
8. S. S. Ravindran, "A reduced-order approach for optimal control of fluids using proper orthogonal decomposition," Int. J. Numer. Methods Fluids 34, 425 (2000).
9. K. Afanasiev and M. Hinze, "Adaptive control of a wake flow using proper orthogonal decomposition," Technical Report No. 648/1999, Technische Universität Berlin, 1999.
10. M. Hinze and A. Kauffmann, "Reduced order modeling and suboptimal control of a solid fuel ignition model," Technical Report No. 636/1999, Technische Universität Berlin, 1999.
11. H. M. Park, M. W. Lee, and Y. D. Jang, "An efficient computational method of boundary optimal control problems for the Burgers equation," Comput. Methods Appl. Mech. Eng. 166, 289 (1998).
12. J. Gerhard, M. Pastoor, R. King, B. R. Noack, A. Dillmann, M. Morzynski, and G. Tadmor, "Model-based control of vortex shedding using low-dimensional Galerkin models," AIAA Pap. 2003-4262, 33rd AIAA Fluids Conference and Exhibit.
13. H. V. Ly and H. T. Tran, "Modeling and control of physical processes using proper orthogonal decomposition," Math. Comput. Model. 33, 223 (2001).
14. R. D. Prabhu, S. S. Collis, and Y Chang, "The influence of control on proper orthogonal decomposition of wall-bounded turbulent flows," Phys. Fluids 13, 520 (2001).
15. A. Omurtag and L. Sirovich, "On low-dimensional modeling of channel turbulence," Theor. Comput. Fluid Dyn. 13, 115 (1999).
16. H. Gunes, "Low-order dynamical models of thermal convection in high-aspect ratio enclosures," Fluid Dyn. Res. 30, 1 (2002).
17. D. Rempfer, "Investigations of boundary layer transition via Galerkin projections on empirical eigenfunctions," Phys. Fluids 8, 175 (1996).
18. X. Ma, G. E. Karniadakis, H. Park, and M. Gharib, "DPIV/T-driven convective heat transfer simulation," Int. J. Heat Mass Transfer 45, 3517 (2002).
19. C. Gmelin, U. Rist, and S. Wagner, "Active control of laminar-turbulent transition using instantaneous vorticity signals at the wall," Phys. Fluids 13, 513 (2001).
20. C. Gmelin, U. Rist, and S. Wagner, "Numerical investigations of active control of boundary-layer instabilities," in Recent Results in Laminar-Turbulent Transition-Selected Numerical and Experimental Contributions from the DFG-Verbundschwerpunktprogramm "Transition" in Germany, NNFM Vol. 86, edited by S. Wagner, M. Kloker, and U. Rist (Springer, Berlin, 2003), pp. 203-218.
21. C. Gmelin, "Numerische Untersuchungen zur aktiven Dämpfung von Störungen im Vorfeld der laminar-turbulenten Transition," Dissertation, Universität Stuttgart, 2003.
22. F. N. Shaikh, "Investigation of transition to turbulence using white-noise excitation and local analysis techniques," J. Fluid Mech. 348, 29 (1997).
23. U. Rist and H. Fasel, "Direct numerical simulation of controlled transition in a flat-plate boundary layer," J. Fluid Mech. 298, 211 (1995).
24. M. Kloker, "A robust high-resolution split-type compact FD-scheme for spatial direct numerical simulation of boundary-layer transition," Appl. Sci. Res. 59, 353 (1998), special issue, LES and DNS of Complex Flows (Kluwer Academic, Dordrecht, 1998).
25. M. Kloker, U. Konzelmann, and H. Fasel, "Outflow boundary conditions for spatial Navier-Stokes simulations of transitional boundary layers," AIAA J. 31, 620 (1993).
26. A. E. Deane, I. G. Kevrekidis, G. E. Karniadakis, and S. A. Orszag, "Low-dimensional models for complex geometry flows: Application to grooved channels and circular cylinders," Phys. Fluids A 3, 2337 (1991).
27. H. Gunes, A. Liakopoulos, and R. A. Saban, "Low-dimensional description of oscillatory thermal convection: The small Prandtl number limit," Theor. Comput. Fluid Dyn. 9, 1 (1997).
28. D. Rempfer, M. Kloker, P. Stoll, H. Bestek, and S. Wagner, "Evolution of coherent structures in flat-plate boundary layers with and without pressure gradient," ECCOMAS 94 (Wiley, New York, 1994), pp. 478-486.
29. P. Koumoutsakos, "Vorticity flux control for a turbulent channel flow," Phys. Fluids 11, 248 (1999).
30. X. Ma, G. E. Karniadakis, H. Park, and M. Gharib, "DPIV-driven flow simulation: A new computational paradigm," Proc. Soc. 459, 547