On low-dimensional modeling of channel turbulence

29th AIAA Fluid Dynamics Conference

Volumn , Issue , 1998, Pages 1-7

  Omurtag, Ahmet C ^a   Sirovich, Larry ^a  

^a CUNY MtSinai   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHANNEL FLOW; EIGENVALUES AND EIGENFUNCTIONS; FLUID DYNAMICS; REYNOLDS NUMBER; WAVE PROPAGATION; WAVE TRANSMISSION;

FULL SCALE SIMULATION; GALERKIN PROJECTIONS; LARGE SCALE SIMULATIONS; LOW-DIMENSIONAL MODELING; LOW-DIMENSIONAL SYSTEMS; STATISTICAL MEASURES; TURBULENT CHANNEL FLOWS; VISCOUS DISSIPATION;

DYNAMICS;

EID: 84959345204     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.1998-2998     Document Type: Conference Paper

References (33)

1. Knight B. and Sirovich L. Kolmogorov inertial range for inhomogeneous turbulent flows. Physics Review Letters, 65:1356, 1990.
2. Moser R. Kolmogorov inertial range spectra for inhomogeneous turbulence. Physics of Fluids, 6:794, 1994.
3. Landau L.D. and Lifschitz E.M. Fluid Mechanics. Pergamon Press, 1987.
4. Keefe L., Moin P., and Kim J. The dimension of attractors underlying periodic turbulent Poiseuille flow. Journal of Fluid Mechanics, 242:2, 1992.
5. Sirovich L. Dynamics of coherent structures in wall bounded turbulence. In R.L. Panton, editor, Self-Sustaining Mechanisms of Wall Turbulence. Computational Mechanics Publications, Southhampton, UK, to appear,1997.
6. Sirovich L. and Rodriguez J.D. Coherence structures and chaos: A model problem. Phys. Lett. A, 120(5):211, 1987.
7. Aubry N., Holmes P., Lumley J.L., and Stone E. The dynamics of coherent structures in the wall region of a turbulent boundary layer. Journal of Fluid Mechanics, 192:115, 1988.
8. Sirovich L. Turbulence and the dynamics of coherent structures, Part i-iii. Q. Appl. Math., 45:561, 1987.
9. Holmes P., Lumley J.L., and Berkooz G. Turbulence, Coherent Structures, Dynamical Systems and Symmetry. Cambridge University Press, 1996.
10. Berkooz G., Holmes P., and Lumley J.L. The proper orthogonal decomposition in the analysis of turbulent flows. Annual Review Fluid Mechanics, 25:539, 1993.
11. Chambers D.H., Adrian R.J., Moin P., Stewart D.S., and Sung H. J. Karhunen-Loeve expansion of Burgers model of turbulence. Physics of Fluids, 31:2573, 1988.
12. Holmes P. Can dynamical systems approach turbulence. In Lumley J.L., editor, Whither Turbulence? Turbulence at the Crossroads, page 195. Springer-Verlag, New York, 1990.
13. Zhou X. and Sirovich L. Coherence and chaos in a model of turbulent boundary layer. Physics of Fluids A, 4:2855, 1992.
14. Rajaee M., Karlsson S.K.F., and Sirovich L. Low-dimensional description of free-shear-flow coherent structures and their dynamical behaviour. Journal of Fluid Mechanics, 258:1, 1994.
15. Rempfer D. and Fasel H.F. Dynamics of three-dimensional coherent structures in a flat plate boundary layer. Journal of Fluid Mechanics, 275:257, 1994.
16. Liakopoulos A., Blythe P. A., and Gunes H. A reduced dynamical model of convective flows in tall laterally heated cavities. Proc. Roy. Soc. London A, 453:663-672, 1997.
17. Tarman I.H. and Sirovich L. A parametric study of Rayleigh- Benard convection using a Karhunen-Loeve basis. Submitted for publication, 1997.
18. Tarman I.H. and Sirovich L. Extensions to karhunen-loeve based approximation of complicatedphenomena. Comp. Meth. in Appl. Mech. and Eng., 1997. to appear.
19. Sirovich L. and Zhou X. Dynamical model of wall-bounded turbulence. PRL, 72:340-43, 1994.
20. Deane A.E., Kevrekidis I.G., Karniadakis G.E., and Orszag S.A. Low-dimensional models for complex geometry flows: Application to grooved channels and circular cylinders. Physics of Fluids, 3(10):2337, 1991.
21. Ball K.S., Sirovich L. and Keefe L.R. Dynamical eigenfunction decomposition of turbulent channel flow. Intl. J. Num. Meth. Fluids, 12:585, 1991.
22. Jimenez J. and Moin P. The minimal flow unit in near-wall turbulence. Journal of Fluid Mechanics, 225:213-240, 1991.
23. Kim J., Moin P., and Moser R. Turbulence statistics in fully developed channel flow at low Reynolds number. Journal of Fluid Mechanics, 177:133-166, 1987.
24. Kline S.J., Reynolds W.C., Schraub F.A., and Runstadler P.W. The structure of turbulent boundary layers. Journal of Fluid Mechanics, 95:741-773, 1967.
25. Kim H.T., Kline S.J., and Reynolds W.C. The production of turbulence near a smooth wall in a turbulent boundary layer. Journal of Fluid Mechanics, 50:133-160, 1971.
26. 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, 129:27-54, 1983.
27. Smith C.R. and Schwartz S.P. Observation of streamwise rotation in the near-wall region of a turbulent boundary layer. Physics of Fluids, 26(3):641, 1983.
28. Robinson S.K. Coherent motions in the turbulent boundary layer. Ann. Rev. of Fluid Mech., 23:601-639, 1991.
29. Cantwell B.J. Organized motion in turbulent flow. Ann. Rev. Fluid Mech., 13:437-515, 1981.
30. Blackwelder R.F. and Kaplan R.E. On the wall structure of the turbulent boundary layer. Journal of Fluid Mechanics, 76:89, 1976.
31. Sirovich L., Ball K.S., and Handler R.A. Propagating structures in wall-bounded turbulent flows. Theor. Comput. Fluid Dyn., 2:307, 1991.
32. Sirovich L., Ball K.S., and Keefe L.R. Plane waves and structures in turbulent channel flow. Physics of Fluids, 2(12):2217-2226, 1990.
33. Tarman I.H. and Sirovich L. A parametric study of Rayleigh- Benard convection using a Karhunen-Loeve basis. Submitted for publication, 1997.