On low-dimensional modeling of channel turbulence

Theoretical and Computational Fluid Dynamics

Volumn 13, Issue 2, 1999, Pages 115-127

  Omurtag, Ahmet ^a   Sirovich, Larry ^a  

^a CITY UNIVERSITY OF NEW YORK   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033238483     PISSN: 09354964     EISSN: None     Source Type: Journal    
DOI: 10.1007/s001620050007     Document Type: Article

References (37)

1. Knight, B., and Sirovich, L. (1990). Kolmogorov inertial range for inhomogeneous turbulent flows. Physics Review Letters, 65, 1356.
2. Moser, R. (1994). Kolmogorov inertial range spectra for inhomogeneous turbulence. Physics of Fluids, 6, 794.
3. Landau, L.D., and Lifschitz, E.M. (1987). Fluid Mechanics. Pergamon Press Oxford.
4. Keefe, L., Moin, P., and Kim, J. (1992). The dimension of attractors underlying periodic turbulent Poiseuille flow. Journal of Fluid Mechanics, 242, 2.
5. Sirovich, L. (1997). Dynamics of coherent structures in wall bounded turbulence. In Self-Sustaining Mechanisms of Wall Turbulence, ed. R.L. Panton. pp. 333-364. Computational Mechanics Publications, Southampton.
6. Sirovich, L., and Rodriguez, J.D. (1987). Coherence structures and chaos: a model problem. Physics Letters A, 120(5), 211.
7. Aubry, N., Holmes, P., Lumley, J.L., and Stone, E. (1988). The dynamics of coherent structures in the wall region of a turbulent boundary layer. Journal of Fluid Mechanics, 192, 115.
8. Sirovich, L. (1987). Turbulence and the dynamics of coherent structures. Parts i-iii. Quarterly of Applied Mathematics, 45, 561.
9. Holmes, P., Lumley, J.L., and Berkooz, G. (1996). Turbulence, Coherent Structures, Dynamical Systems and Symmetry. Cambridge University Press, Cambridge.
10. Berkooz, G., Holmes, P., and Lumley, J.L. (1993). The proper orthogonal decomposition in the analysis of turbulent flows. Annual Review of Fluid Mechanics, 25, 539.
11. Chambers, D.H., Adrian, R.J., Moin, P., Stewart, D.S., and Sung, H.J. (1988). Karhunen-Loeve expansion of burgers model of turbulence. Physics of Fluids, 31, 2573.
12. Holmes, P. (1990). Can dynamical systems approach turbulence. In Whither Turbulence? Turbulence at the Crossroads, ed. J.L. Lumley, page 195. Springer-Verlag, New York.
13. Zhou, X., and Sirovich, L. (1992). Coherence and chaos in a model of turbulent boundary layer. Physics of Fluids A, 4, 2855.
14. Rajaee, M., Karlsson, S.K.F., and Sirovich, L. (1994). Low-dimensional description of free-shear-flow coherent structures and their dynamical behaviour. Journal of Fluid Mechanics, 258, 1.
15. Rempfer, D., and Fasel, H.F. (1994). Dynamics of three-dimensional coherent structures in a flat plate boundary layer. Journal of Fluid Mechanics, 275, 257.
16. Liakopoulos, A., and Gunes, H. Low-order dynamical models of thermal convection in high-aspect ratio enclosures. Journal of Fluid Mechanics, to appear.
17. Tarman, I.H., and Sirovich, L. (1998) Extensions to Karhunen-Loeve based approximations of complicated phenomena. Computer Methods in Applied Mechanics and Engineering, 155(3-4), 359-368.
18. Tarman, I.H., and Sirovich, L. A parametric study of Rayleigh-Benard convection using a Karhunen-Loeve basis. Submitted for publication.
19. Sirovich, L., and Zhou, X. (1994) Dynamical model of wall-bounded turbulence. Physical Review Letters, 72, 340.
20. Deane, A.E., Kevrekidis, I.G., Karniadakis, G.E., and Orszag, S.A. (1991). Low-dimensional models for complex geometry flows: application to grooved channels and circular cylinders. Physics of Fluids, 3(10), 2337.
21. Ball, K.S. Sirovich, L., and Keefe, L.R. (1991). Dynamical eigenfunction decomposition of turbulent channel flow. International Journal for Numverical Methods in Fluids, 12, 585.
22. Sirovich, L., and Zhou, X. (1994). Reply to "Observations regarding 'Coherence and chaos in a model of turbulent boundary layer' by X. Zhou and L. Sirovich." Physics of Fluids A, 6, 1579.
23. Jimenez, J., and Moin, P. (1991). The minimal flow unit in near-wall turbulence. Journal of Fluid Mechanics, 225, 213.
24. Kim, J., Moin, P., and Moser, R. (1987). Turbulence statistics in fully developed channel flow at low Reynolds number. Journal of Fluid Mechanics, 177, 133.
25. Kline, S.J., Reynolds, W.C., Schraub, F.A., and Runstadler, P.W. (1967). The structure of turbulent boundary layers. Journal of Fluid Mechanics, 95, 741.
26. Kim, H.T., Kline, S.J., and Reynolds, W.C. (1971). The production of turbulence near a smooth wall in a turbulent boundary layer. Journal of Fluid Mechanics, 50, 133.
27. Smith, C.R., and Metzler, S.P. The characteristics of low-speed streaks in the near-wall region of a turbulent boundary layer. Journal of Fluid Mechanics, 129, 27.
28. Smith, C.R., and Schwartz, S.P. (1983). Observation of streamwise rotation in the near-wall region of a turbulent boundary layer. Physics of Fluids, 26(3), 641.
29. Robinson, S.K. (1991). Coherent motions in the turbulent boundary layer. Annual Review of Fluid Mechanics, 23, 601.
30. Cantwell, B.J. Organized motion in turbulent flow. Annual Review of Fluid Mechanics, 13, 437.
31. Blackwelder, R.F., and Kaplan, R.E. (1976). On the wall structure of the turbulent boundary layer. Journal of Fluid Mechanics, 76, 89.
32. Sirovich, L., Ball, K.S., and Handler, R.A. (1991) Propagating structures in wall-bounded turbulent flows. Theoretical and Computational Fluid Dynamics, 2, 307.
33. Sirovich, L., Ball, K.S. and Keefe, L.R. (1990). Plane waves and structures in turbulent channel flow. Physics of Fluids, 2(12), 2217.
34. Sirovich, L., Knight, B.W., and Rodriguez, J.D. (1990). Optimal low dimensional dynamical approximations. Quarterly of Applied Mathematics, 48(3), 535.
35. Sirovich, L. Empirical eigenfunctions and low dimensional systems. In New Perspectives in Turbulence, ed. L. Sirovich, page 139. Springer-Verlag, New York, 1991.
36. Kirby, M. (1992). Minimal dynamical systems from PDEs using Sobolev eigenfunctions. Physica D, 57, 466.
37. Handler, R.A., Levieh, E., and Sirovich, L. (1993). Drag reduction in turbulent channel flow by phase randomization. Physics of Fluids, 5(3), 686.