Proper orthogonal decomposition and low-dimensional modelling of thermally driven two-dimensional flow in a horizontal rotating cylinder

Journal of Fluid Mechanics

Volumn 573, Issue , 2007, Pages 265-295

  Hasan, Nadeem ^a   Sanghi, Sanjeev ^b  

^a ALIGARH MUSLIM UNIVERSITY   (India)

^b INDIAN INSTITUTE OF TECHNOLOGY DELHI   (India)

Author keywords

[No Author keywords available]

Indexed keywords

BUOYANCY; EIGENVALUES AND EIGENFUNCTIONS; GALERKIN METHODS; GAS DYNAMICS; INTEGRATION; MATHEMATICAL MODELS; PRANDTL NUMBER;

PROPER ORTHOGONAL DECOMPOSITION ANALYSIS; RAYLEIGH NUMBER; TAYLOR NUMBER;

ROTATIONAL FLOW;

BUOYANCY; EIGENVALUES AND EIGENFUNCTIONS; GALERKIN METHODS; GAS DYNAMICS; INTEGRATION; MATHEMATICAL MODELS; PRANDTL NUMBER; ROTATIONAL FLOW;

FLOW MODELING; FLUID MECHANICS; RAYLEIGH NUMBER; ROTATING FLOW; TWO-DIMENSIONAL FLOW;

EID: 33847327368     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112006003806     Document Type: Article

References (29)

1. Aubry, N. 1991 On the hidden beauty of the proper orthogonal decomposition. Theor. Comput. Fluid Dyn. 2, 339-352.
2. Aubry, N., Guyonnet, R. & Lima, R. 1992 Spatio-temporal symmetries and bifurcations via Bi-Orthogonal decompositions. J. Nonlin. Sci. 2, 183-215.
3. Aubry, N., Holmes, P., Lumley, J. L. & Stone, E. 1988 The dynamics of coherent structures in the wall region of a turbulent boundary layer. J. Fluid Mech. 192, 115-173.
4. Aubry, N. & Lian, W. Y. 1993 Exploiting and Detecting Space-time Symmetries. Lectures in Applied Mathematics, vol. 29, pp. 71-85. Springer.
5. Aubry, N. & Lima, R. 1995 Spatiotemporal and statistical symmetries. J. Stat. Phys. 81(3/4), 793-828.
6. Bakewell, P. & Lumley, J. L. 1967 Viscous sublayer and adjacent wall region in turbulent pipe flows. Phys. Fluids 10, 1880-1889.
7. Cazemier, W., Verstappen, R. W. C. P. & Veldman, A. E. P. 1998 Proper Orthogonal decomposition and low-dimensional models for driven cavity flows. Phys Fluids A 10(7), 1685-1699.
8. Deane, A. E. & Sirovich, L. 1991 A computational study of Rayleigh-Bénard convection. Part 1. Rayleigh number scaling. J. Fluid Mech. 222, 231-250.
9. Galletti, B., Bruneau, C. H., Zannetti, L. & Iollo, A. 2004 Low order modelling of laminar flow regimes past a confined square cylinder. J. Fluid Mech. 503, 161-170.
10. Glauser, M. N. & George, W. K. 1987 Orthogonal decomposition of the axisymmetric jet mixing layer including azimuthal dependence. Advances in Turbulence, pp. 357-366, Springer.
11. Hamady, F. J., Lloyd, J. R., Yang, K. T. & Yang, H. Q. 1994 A study of natural convection in a rotating enclosure. Trans. ASME: J. Heat Transfer 116(1), 136-143.
12. Hasan, N., Anwer, S. F. & Sanghi, S. 2005 On the outflow boundary condition for external incompressible flows: A new approach. J. Comp. Phys. 206, 661-683.
13. Hasan, N. & Sanghi, S. 2004 The dynamics of two-dimensional buoyancy driven convection in a horizontal rotating cylinder. Trans. ASME: J. Heat Transfer 126(6), 963-984.
14. Herzog, S. 1986 Large scale structure in the near wall region of a turbulent pipe flow. PhD thesis, Cornell University.
15. Hirsch, C. 1990 Numerical Computation of Internal and External Flows, pp. 661-664. John Wiley and Sons Ltd.
16. Holmes, P., Lumley, J. L. & Berkooz, G. 1996 Turbulence, Coherent Structures, Dynamical Systems and Symmetry, pp. 88-91. Cambridge University Press.
17. Ker, Y. T. & Lin, T. F. 1996 A combined numerical and experimental study of air convection in a differentially heated rotating cubic cavity. Intl J. Heat Mass Transfer 39(15), 3193-3210.
18. Kirby, K., Boris, J. & Sirovich, L. 1990 An eigenfunction analysis of axisymmetric jet flow. J. Comp. Phys. 90(1), 98-122.
19. Lumley, J. L. & Poje, A. 1997 Low-dimensional models for flows with density fluctuations. Phys. Fluids 9, 2023-2031.
20. Ma, X. & Karniadakis, G. E. 2002 A low-dimensional model for simulating three-dimensional cylinder flow. J. Fluid Mech. 458, 181-190.
21. Moin, P. & Moser, R. D. 1989 Characteristic-eddy decomposition of turbulence in a channel. J. Fluid Mech. 200, 471-509.
22. Podvin, B. & Quéré, P. L. 2001 Low-order models for the flow in a differentially heated cavity. Phys. Fluids 13, 3204-3214.
23. Rempfer, D. 2000 On low-dimensional Galerkin models for fluid flow. Theor. Comp. Fluid Dyn. 14(2), 75-88.
24. Rempfer, D. & Fasel, H. 1994 Evolution of three-dimensional coherent structures in a flat plate boundary layer. J. Fluid Mech. 260, 351-375.
25. Sahan, R. A., Liakopoulos, A. & Gunes, H. 1997 Reduced dynamical models of nonisothermal transitional grooved-channel flow. Phys. Fluids 9, 551-565.
26. Sanghi, S. & Aubry, N. 1993 Mode interaction models for near-wall turbulence. J. Fluid Mech. 247, 455-488.
27. Sirovich, L. 1987 Turbulence and the dynamics of coherent structures. Part I. Coherent structures. Q. Appl. Maths 45(3), 561-571.
28. Sirovich, L. & Deane, A. E. 1991 A computational study of Rayleigh-Bénard convection. Part 2. Dimension considerations. J. Fluid Mech. 222, 251-265.
29. Sirovich, L. & Park, H. 1990 Turbulent thermal convection in a finite domain, Part I. Theory. Phys. Fluids A 2, 1649-1658.