Coherent structures of turbulence: Methods of eduction and results

Applied Mechanics Reviews

Volumn 59, Issue 1-6, 2006, Pages 307-323

  Alfonsi, Glancarlo ^a,b  

^a ASME   (Italy)

^b UNIVERSITY OF CALABRIA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COHERENT STRUCTURES; TURBULENT BOUNDARY LAYERS; WALLBOUNDED FLOWS;

BOUNDARY LAYER FLOW; CONFINED FLOW; DATABASE SYSTEMS; INFORMATION DISSEMINATION; TENSORS; TURBULENT FLOW;

FLUID DYNAMICS;

EID: 33846389715     PISSN: 00036900     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2345370     Document Type: Article

References (171)

1. Reynolds, O., 1894, "On the Dynamical Theory of Incompressible Viscous Fluids and the Determination of the Criterion," Philos. Trans. R. Soc. London, Ser. A, 186, pp. 123-161.
2. Kolmogorov, A. N., 1941, "The Local Structure of Turbulence in an Incompressible Fluid for Very Large Reynolds Numbers," Dokl. Akad. Nauk SSSR, 30, pp. 299-303.
3. Kolmogorov, A. N., 1941, "Energy Dissipation in Locally Isotropie Turbulence," Dokl. Akad. Nauk SSSR, 32, pp. 19-21.
4. Heisenberg, W., 1948, "Zur Statistischen Theorie der Turbulenz," Z. Phys., 124, pp. 628-657.
5. Heisenberg, W., 1948, "On the Theory of Statistical and Isotropie Turbulence." Proc. R. Soc. London, Ser. A, 195, pp. 402-406.
6. Batchelor, G. K., 1953, The Theory of Homogeneous Turbulence, Cambridge University Press, Cambridge, UK.
7. Sreenivasan, K. R., and Antonia, R. A., 1997, "The Phenomenology of SmallScale Turbulence," Annu. Rev. Fluid Mech., 29, pp. 435-472.
8. Garg, S., and Warhaft, Z., 1998, "On the Small Scale Structure of Simple Shear Flow," Phys. Fluids, 10, pp. 662-673.
9. λ ≈ 1000) Turbulent Shear Flow," Phys. Fluids, 12, pp. 2976-2989.
10. Frisch, U., 1995, Turbulence, Cambridge University Press, Cambridge, UK.
11. Pope, S. B., 2000, Turbulent Flows, Cambridge University Press, Cambridge, UK.
12. Kim, J., Moin, P., and Moser, R., 1987, "Turbulence Statistics in Fully Developed Channel Flow at Low Reynolds Number," J. Fluid Mech., 177, pp. 133-166.
13. θ ≈ 1410," J. Fluid Mech., 187, pp. 61-98.
14. Lyons, S. L., Hanratty, T. J., and McLaughlin, J. B., 1991, "Large-Scale Computer Simulation of Fully Developed Turbulent Channel Flow With Heat Transfer," Int. J. Numer. Methods Fluids, 13, pp. 999-1028.
15. Kasagi, N., Tomita, Y., and Kuroda, A., 1992, "Direct Numerical Simulation of Passive Scalar Field in a Turbulent Channel Flow," ASME J. Heat Transfer. 114, pp. 598-606.
16. Rutledge, J., and Sleicher, C. A., 1993, "Direct Simulation of Turbulent Flow and Heat Transfer in a Channel. Part I: Smooth Walls," Int. J. Numer. Methods Fluids, 16, pp. 1051-1078.
17. Alfonsi, G., Passoni, G., Pancaldo, L., and Zampaglione, D., 1998, "A Spectral-Finite Difference Solution of the Navier-Stokes Equations in Three Dimensions," Int. J. Numer. Methods Fluids, 28, pp. 129-142.
18. τ=590," Phys. Fluids, 11, pp. 943-945.
19. Zhou, J., Adrian, R. J., Balachandar, S., and Kendall, T. M., 1999, "Mechanisms for Generating Coherent Packets of Hairpin Vortices in Channel Flow," J. Fluid Mech., 387, pp. 353-396.
20. Passoni, G., Alfonsi, G., and Galbiati, M., 2002. "Analysis of Hybrid Algorithms for the Navier-Stokes Equations With Respect to Hydrodynamic Stability Theory," Int. J. Numer. Methods Fluids, 38, pp. 1069-1089.
21. Grötzbach, G., 1983, "Spatial Resolution Requirements for Direct Numerical Simulation of the Rayleigh-Bénard Convection," J. Comput. Phys., 49, pp. 241-264.
22. Moser, R. D., and Moin, P., 1987, "The Effects of Curvature in Wall-Bounded Turbulent Flows," J. Fluid Mech., 175, pp. 479-510.
23. Passoni, G., Alfonsi, G., Tula, G., and Cardu, U., 1999, "A Wavenumber Parallel Computational Code for the Numerical Integration of the NavierStokes Equations," Parallel Comput., 25, pp. 593-611.
24. Passoni, G., Cremonesi, P., and Alfonsi, G., 2001, "Analysis and Implementation of a Parallelization Strategy on a Navier-Stokes Solver for Shear Flow Simulation," Parallel Comput., 27, pp. 1665-1685.
25. Österlund, J M., Johansson, A V., Nagib, H. M., and Hites, M. H., 2000, "A Note on the Overlap Region in Turbulent Boundary Layers," Phys. Fluids, 12, pp. 1-4.
26. Barenblatt, G. I., 1993, "Scaling Laws for Fully Developed Turbulent Shear Layer Flows. Part 1. Basic Hypothesis and Analysis," J. Fluid Mech., 248, pp. 513-520.
27. Barenblatt, G. I., and Prostokishin, V. M., 1993, "Scaling Laws for Fully Developed Turbulent Shear Flows. Part 2. Processing of Experimental Data," J. Fluid Mech., 248, pp. 521-529.
28. Zagarola, M. V., and Smits, A. J., 1997, "Scaling of the Mean Velocity Profile for Turbulent Pipe Flow," Phys. Rev. Lett., 78, pp. 239-242.
29. Zagarola, M. V., Perry, A. C., and Smits, A. J., 1997, "Log Laws or Power Laws: The Scaling in the Overlap Region," Phys. Fluids, 9, pp. 2094-2100.
30. Nikuradze, J., 1932, "Gesetzmässigkeiten der Turbulenten Strömung in Glatten Rohren," VDI Forschungheft No. 356 (NACA TT F-10).
31. Robinson, S. K., 1991, "Coherent Motions in the Turbulent Boundary Layer," Annu. Rev. Fluid Mech., 23, pp. 601-639.
32. Cantwell, B. J., 1981, "Organized Motion in Turbulent Flow," Annu. Rev. Fluid Mech., 13, pp. 457-515.
33. Hussain, A. K. M. F., 1983, "Coherent Structures-Reality and Myth," Phys. Fluids, 26, pp. 2816-2850.
34. Hussain, A. K. M. F., 1986, "Coherent Structures and Turbulence," J. Fluid Mech., 173, pp. 303-356.
35. 1997, Self-Sustaining Mechanisms of Wall Turbulence, R. L. Panton, ed., Computational Mechanics Publications, Southampton, UK.
36. Panton, R. L., 2001, "Overview of the Self-Sustaining Mechanisms of Wall Turbulence," Prog. Aerosp. Sci., 37, pp. 341-383.
37. Kline, S. J., Reynolds, W. C., Schraub, F. A., and Rundstadler, P. W., 1967, "The Structure of Turbulent Boundary Layers," J. Fluid Mech., 30, pp. 741-773.
38. Kline, S. J., and Rundstadler, P. W., 1959, "Some Preliminary Results of Visual Studies of the Flow Model of the Wall Layers of the Turbulent Boundary Layer," Trans. ASME, 6, pp. 166-170.
39. Schraub, F. A., Kline, S. J., Henry, J., Rundstadler, P. W., and Littell, A., 1965, "Use of Hydrogen Bubbles for Quantitative Determination of Time-Dependent Velocity Fields in Low-Speed Water Flows," ASME J. Basic Eng., 87, pp. 429-444.
40. Ersoy, S., and Walker, J. D. A., 1985, "Viscous Flow Induced by Counter-Rotating Vortices," Phys. Fluids, 28, pp. 2687-2698.
41. Guezennec, Y. G., Piomelli, U., and Kim, J., 1989, "On the Shape and Dynamics of Wall Structures in Turbulent Channel Flow," Phys. Fluids A, 1, pp. 764-766.
42. Kovasznay, L. S. G., 1970, "The Turbulent Boundary Layer," Annu. Rev. Fluid Mech., 2, pp. 95-112.
43. Corino, E. R., and Brodkey, R. S., 1969, "A Visual Investigation of the Wall Region in Turbulent Flow," J. Fluid Mech., 37, pp. 1-30.
44. Kim, H. T., Kline, S. J., and Reynolds, W. C., 1971, "The Production of Turbulence Near a Smooth Wall," J. Fluid Mech., 50, pp. 133-160.
45. Grass, A. J., 1971, "Structural Features of Turbulent Flow Over Smooth and Rough Boundaries," J. Fluid Mech., 50, pp. 233-255.
46. Antonia, R. A., 1981, "Conditional Sampling in Turbulence Measurement," Annu. Rev. Fluid Mech., 13, pp. 131-156.
47. Willmarth, W. W., and Wooldridge, C. E., 1962, "Measurements of the Fluctuating Pressure at the Wall Beneath a Thick Turbulent Boundary Layer," J. Fluid Mech., 14, pp. 187-210.
48. Willmarth, W. W., 1975, "Pressure Fluctuations Beneath Turbulent Boundary Layers," Annu. Rev. Fluid Mech., 7, pp. 13-37.
49. Willmarth, W. W., and Bogar, T. J., 1977, "Survey and New Measurements of Turbulent Structure Near the Wall," Phys. Fluids, 20, pp. S9-S21.
50. Willmarth, W. W., and Lu, S. S., 1972, "Structure of the Reynolds Stress Near the Wall," J. Fluid Mech., 55, pp. 65-92.
51. Willmarth, W. W., and Tu, B. J., 1967, "Structure of Turbulence in the Boundary Layer Near the Wall," Phys. Fluids, 10, pp. S134-S137.
52. Willmarth, W. W., and Sharma, L. K., 1984, "Study of Turbulent Structure With Hot Wires Smaller Than the Viscous Length," J. Fluid Mech., 142, pp. 121-149.
53. Wallace, J. M., Eckelmann, H., and Brodkey, R. S., 1972, "The Wall Region in Turbulent Shear Flow," J. Fluid Mech., 54, pp. 39-48.
54. Brodkey, R. S., Wallace, J. M., and Eckelmann, H., 1974, "Some Properties of Truncated Turbulence Signals in Bounded Shear Flows," J. Fluid Mech., 63, pp. 209-224.
55. Eckelmann, H., 1974, "The Structure of the Viscous Sublayer and the Adjacent Wall Region in a Turbulent Channel Flow," J. Fluid Mech., 65, pp. 439-459.
56. Wallace, J. M., Brodkey, R. S., and Eckelmann, H., 1977, "Pattern-Recognized Structures in Bounded Turbulent Shear Flows," J. Fluid Mech., 83, pp. 673-693.
57. Praturi, A. K., and Brodkey, R. S., 1978, "A Stereoscopic Visual Study of Coherent Structures in Turbulent Shear Flow," J. Fluid Mech., 89, pp. 251-272.
58. Kreplin, H. P., and Eckelmann, H., 1979, "Propagation of Perturbations in the Viscous Sublayer and Adjacent Wall Region," J. Fluid Mech., 95, pp. 305-322.
59. Kreplin, H. P., and Eckelmann, H., 1979, "Behavior of the Three Fluctuating Velocity Components in the Wall Region of a Turbulent Channel Flow," Phys. Fluids, 22, pp. 1233-1239.
60. Adrian, R. J., 1979, "Conditional Eddies in Isotropie Turbulence," Phys. Fluids, 22, pp. 2065-2070.
61. Adrian, R. J., and Moin, P., 1988, "Stochastic Estimation of Organized Turbulent Structure: Homogeneous Shear Flow," J. Fluid Mech., 190, pp. 531-559.
62. Adrian, R. J., Moin, P., and Moser, R. D., 1987, "Stochastic Estimation of Conditional Eddies in Turbulent Channel Flow," Proc. 1987 Summer Progr. Cent. Turb Res., NASA Ames/Stanford University, pp. 7-19.
63. Blackwelder, R. F., and Kaplan, R. E., 1976, "On the Wall Structure of the Turbulent Boundary Layer," J. Fluid Mech., 76, pp. 89-112.
64. Blackwelder, R. F., and Eckelmann, H., 1979, "Streamwise Vortices Associated With the Bursting Phenomenon," J. Fluid Mech., 94, pp. 577-594.
65. Johansson, A. V., and Alfredsson, P. H., 1982, "On the Structure of Turbulent Channel Flow," J. Fluid Mech., 122, pp. 295-314.
66. Blackwelder, R. F., 1983, "Analogies Between Transitional and Turbulent Boundary Layers," Phys. Fluids, 26, pp. 2807-2815.
67. Blackwelder, R. F., and Haritonidis, J. H., 1983, "Scaling of the Bursting Frequency in Turbulent Boundary Layers," J. Fluid Mech., 132, pp. 87-103.
68. Alfredsson, P. H., and Johansson, A. V., 1984, "Times Scales in Turbulent Channel Flow," Phys. Fluids, 27, pp. 1974-1981.
69. Johansson, A. V., Her, J. Y., and Haritonidis, J. H., 1987, "On the Generation of High-Amplitude Wall-Pressure Peaks in Turbulent Boundary Layers and Spots," J. Fluid Mech., 175, pp. 119-142.
70. Johansson, A. V., Alfredsson, P. H., and Kim, J., 1991, "Evolution and Dynamics of Shear-Layer Structures in Near-Wall Turbulence," J. Fluid Mech., 224, pp. 579-599.
71. Kim, J., 1983, "On the Structure of Wall-Bounded Turbulent Flows," Phys. Fluids, 26, pp. 2088-2097.
72. Moin, P., and Kim, J., 1985, "The Structure of the Vorticity Field in Turbulent Channel Flow. Part 1. Analysis of Instantaneous Fields and Statistical Correlations," J. Fluid Mech., 155, pp. 441-464.
73. Kim, J., and Moin, P., 1986, "The Structure of the Vorticity Field in Turbulent Channel Flow. Part 2. Study of Ensemble-Averaged Fields," J. Fluid Mech., 162, pp. 339-363.
74. Chu, C. D., and Karniadakis, E. G., 1993, "A Direct Numerical Simulation of Laminar and Turbulent Flow Over Riblet-Mounted Surfaces," J. Fluid Mech., 250, pp. 213-240.
75. Choi, H., Moin, P., and Kim, J., 1993, "Direct Numerical Simulation of Turbulent Flow Over Riblets," J. Fluid Mech., 255, pp. 503-539.
76. Bogard, D. G., and Tiederman, W. G., 1986, "Burst Detection With SinglePoint Velocity Measurements," J. Fluid Mech., 162, pp. 389-413.
77. Luchik, T. S., and Tiederman, W. G., 1987, "Timescale and Structure of Ejections and Bursts in Turbulent Channel Flows," J. Fluid Mech., 174, pp. 529-552.
78. Subramanian, C. S., Rajagopalan, S., Antonia, R. A., and Chambers, A. J., 1982, "Comparison of Conditional Sampling and Averaging Techniques in a Turbulent Boundary Layer," I. Fluid Mech., 123, pp. 335-362.
79. Rao, K. N., Narasimha, R., and Badri Narayanan, M. A., 1971, "The 'Bursting' Phenomenon in a Turbulent Boundary Layer," I. Fluid Mech., 48, pp. 339-352.
80. Laufer, J., and Badri Narayanan, M. A., 1971, "Mean Period of the TurbulentProduction Mechanism in a Boundary Layer," Phys. Fluids, 14, pp. 182-183.
81. Kovasznay, L. S. G., Kibens, V., and Blackwelder, R. F., 1970, "Large Scale Motion in the Intermittent Region of a Turbulent Boundary Layer," I. Fluid Mech., 41, pp. 283-325.
82. Blackwelder, R. F., and Kovasznay, L. S. G., 1972, "Time Scales and Correlations in a Turbulent Boundary Layer," Phys. Fluids, 15, pp. 1545-1554.
83. Cantwell, B. J., Coles, D. E., and Dimotakis, P. E., 1978, "Structure and Entrapment in the Plane of Symmetry of a Turbulent Spot," J. Fluid Mech., 87, pp. 641-672.
84. Chen, C. H., and Blackwelder, R. F., 1978, "Large-Scale Motion in a Turbulent Boundary Layer: A Study Using Temperature Contamination," I. Fluid Mech., 89, pp. 1-31.
85. Offen, G. R., and Kline, S. J., 1974, "Combined Dye-Streak and Hydrogen-Bubble Visual Observations of a Turbulent Boundary Layer," J. Fluid Mech., 62, pp. 223-239.
86. Offen, G. R., and Kline, S. J., 1975, "A Proposed Model of the Bursting Process in Turbulent Boundary Layers," I. Fluid Mech., 70, pp. 209-228.
87. Brown, G. L., and Thomas, A. S. W., 1977, "Large Structure in a Turbulent Boundary Layer," Phys. Fluids, 20, pp. S243-S252.
88. Falco, R. E., 1977, "Coherent Motions in the Outer Region of Turbulent Boundary Layer," Phys. Fluids, 20, pp. S124-S132.
89. Head, M. R., and Bandyopadhyay, P., 1981, "New Aspects of Turbulent Boundary-Layer Structure," J. Fluid Mech., 107, pp. 297-338.
90. Wygnanski, I. J., and Champagne, F. H., 1973, "On Transition in a Pipe. Part I. The Origin of Puffs and Slugs and the Flow in a Turbulent Slug," J. Fluid Mech., 59, pp. 281-335.
91. Wygnanski, I. J., Sokolov, N., and Friedman, D., 1976, "On the Turbulent Spot in a Boundary Layer Undergoing Transition," J. Fluid Mech., 78, pp. 785-819.
92. Zilberman, M., Wygnanski, I. J., and Kaplan, R. E., 1977, "Transitional Boundary Layer Spot in a Fully Turbulent Environment," Phys. Fluids, 20, pp. S258-S271.
93. Wygnanski, I. J., Haritonidis, J. H., and Kaplan, R. E., 1979, "On a TollmienSchlichting Wave Packet Produced by a Turbulent Spot," J. Fluid Mech., 92, pp. 505-528.
94. Townsend, A. A., 1956, The Structure of Turbulent Shear Flow, 1st ed., Cambridge University Press, Cambridge, UK.
95. Townsend, A. A., 1976, The Structure of Turbulent Shear Flow, 2nd ed., Cambridge University Press, Cambridge, UK.
96. Townsend, A. A., 1979, "Flow Patterns of Large Eddies in a Wake and in a Boundary Layer," J. Fluid Mech., 95, pp. 515-537.
97. Theodorsen, T., 1952, "Mechanism of Turbulence," Proc. 2nd Midwest Fluid Mech. Conf., Columbus, Ohio, pp. 1-18.
98. Perry, A. E., and Chong, M. S., 1982, "On the Mechanism of Wall Turbulence," J. Fluid Mech., 119, pp. 173-217.
99. Acarlar, M. S., and Smith, C. R., 1987, "A Study of Hairpin Vortices in a Laminar Boundary Layer. Part 1. Hairpin Vortices Generated by a Hemisphere Protuberance," J. Fluid Mech., 175, pp. 1-41.
100. Acarlar, M. S., and Smith, C. R., 1987, "A Study of Hairpin Vortices in a Laminar Boundary Layer. Part 2. Hairpin Vortices Generated by Fluid Injection," J. Fluid Mech., 175, pp. 43-83.
101. Smith, C. R., Walker, J. D. A., Haidari, A. H., and Soburn, U., 1991, "On the Dynamics of Near-Wall Turbulence," Philos. Trans. R. Soc. London, 336, pp. 131-175.
102. Haidari, A. H., and Smith, C. R., 1994, "The Generation and Regeneration of Single Hairpin Vortices," J. Fluid Mech., 277, pp. 135-162.
103. Smith, C. R., and Metzler, S. P., 1983, "The Characteristics of Low-Speed Streaks in the Near-Wall Region of a Turbulent Boundary Layer," J. Fluid Mech., 129, pp. 27-54.
104. Walker, J. D. A., Smith, C. R., Cerra, A. W., and Doligalsky, T. L., 1987, "The Impact of a Vortex Ring on a Wall," J. Fluid Mech., 181, pp. 99-140.
105. Lu, L. J., and Smith, C. R., 1991, "Use of Flow Visualization Data to Examine Spatial-Temporal Velocity and Burst Type Characteristics in a Turbulent Boundary Layer," J. Fluid Mech., 232, pp. 303-340.
106. Singer, B. A., and Joslin, R. D., 1994, "Metamorphosis of a Hairpin Vortex Into a Young Turbulent Spot," Phys. Fluids, 6, pp. 3724-3736.
107. Doligalski, T. L., and Walker, J. D. A., 1984, "The Boundary Layer Induced by a Convected Two-Dimensional Vortex," J. Fluid Mech., 139, pp. 1-28.
108. Van Dommelen, L. L., and Cowley, S. J., 1990, "On the Lagrangian Description of Unsteady boundary-Layer Separation. Part 1. General Theory," J. Fluid Mech., 210, pp. 593-626.
109. Peridier, V. J., Smith, F. T., and Walker, J. D. A., 1991, "Vortex-Induced Boundary-Layer Separation. Part 1. The Unsteady Limit Problem Re → ∞," J. Fluid Mech., 232, pp. 99-131.
110. Peridier, V. J., Smith, F. T., and Walker, J. D. A., 1991, "Vortex-Induced Boundary-Layer Separation. Part 2. Unsteady Interacting Boundary-Layer Theory," J. Fluid Mech., 232, pp. 133-165.
111. Doligalski, T. L., Smith, C. R., and Walker, J. D. A., 1994, "Vortex Interac-tions With Walls," Annu. Rev. Fluid Mech., 26, pp. 573-616.
112. Wark, C. E., and Nagib, H. M., 1991, "Experimental Investigation of Coherent Structures in Turbulent Boundary Layers," J. Fluid Mech., 230, pp. 183-208.
113. Thomas, A. S. W., and Bull, M. K., 1983, "On the Role of Wall-Pressure Fluctuations in Deterministic Motions in the Turbulent Boundary Layer," J. Fluid Mech., 128, pp. 283-322.
114. Webber, G. A., Handler, R. A., and Sirovich, L., 1997, "The Karhunen-Loeve Decomposition of Minimal Channel Flow," Phys. Fluids, 9, pp. 1054-1066.
115. Kim, I., and Spalart. P. R., 1987, "Scaling of the Bursting Frequency in Turbulent Boundary Layer at Low Reynolds Number," Phys. Fluids, 30, pp. 3326-3328.
116. Shah, D. A., and Antonia, R. A., 1989, "Scaling of the Bursting Period in Turbulent Boundary Layer and Duct Flows," Phys. Fluids A, 1, pp. 318-325.
117. Perry, A. E., Henbest, S., and Chong, M. S., 1986, "A Theoretical and Experimental Study of Wall Turbulence," J. Fluid Mech., 165, pp. 163-199.
118. Poincaré, H., 1892, Sur les Courbes Définies par une Équation Differentielle, Oauthier-Villar, Paris.
119. Lighthill, M. J., 1963, Laminar Boundary Layers. Oxford University Press, New York.
120. Perry, A. E., and Fairlie, B. D., 1974, "Critical Points in Flow Patterns." Adv. Geophys., 18B, pp. 299-315.
121. Hunt, J. C. R., Abell, C. J., Peterka, J. A., and Woo, H., 1978, "Kinematical Studies of the Flows Around Free or Surface-Mounted Obstacles; Applying Topology to Flow Visualization," J. Fluid Mech., 86, pp. 179-200.
122. Antonia, R. A., Bisset, D. K., and Browne, L. W., 1990, "Effect of Reynolds Number on the Topology of the Organized Motion in a Turbulent Boundary Layer," J. Fluid Mech., 213, pp. 267-286.
123. Perry, A. E., and Chong, M. S., 1987, "A Description of Eddying Motions and Flow Patterns Using Critical-Point Concepts." Annu. Rev. Fluid Mech., 19, pp. 125-155.
124. Chong, M. S., Perry, A. E., and Cantwell, B. J., 1990, "A General Classification of Three-Dimensional Flow Fields," Phys. Fluids A, 2, pp. 765-677.
125. Lopez, J. M., and Bulbeck, C. J., 1993, "Behavior of Streamwise Rib Vortices in a Three-Dimensional Mixing Layer," Phys. Fluids A, 5, pp. 1694-1702.
126. Lopez, J. M., 1990, "Axisymmetric Vortex Breakdown. Part 1. Confined Swirling Flow," J. Fluid Mech., 221, pp. 533-552.
127. Brown, G. L., and Lopez, J. M., 1990, "Axisymmetric Vortex Breakdown. Part 2. Physical Mechanisms," J. Fluid Mech., 221, pp. 553-576.
128. Soria, J., Sondergaard, R., Cantwell, B. J., Chong, M. S., and Perry, A. E., 1994, "A Study of the Fine-Scale Motions of Incompressible TimeDeveloping Mixing Layers," Phys. Fluids, 6, pp. 871-884.
129. Blackburn, H. M., Mansour, N. N., and Cantwell, B. J., 1996, "Topology of Fine-Scale Motions in Turbulent Channel Flow," J. Fluid Mech., 310. pp. 269-292.
130. Chong, M. S., Soria, J., Perry, A. E., Chacln, J., Cantwell, B. J., and Na, Y., 1998, "Turbulence Structures of Wall-Bounded Shear Flows Found Using DNS Data," J. Fluid Mech., 357, pp. 225-247.
131. Chacín, J., and Cantwell, B., 1997, "Study of Turbulence Structure Using the Invariants of the Velocity Gradient Tensor." Rep. No. TF-70, FPC Division, Dept. of Mech. Engin., Stanford University.
132. Na, Y., and Moin, P., 1998, "Direct Numerical Simulation of a Separated Turbulent Boundary Layer," J. Fluid Mech., 370, pp. 175-201.
133. Na, Y., and Moin, P., 1998, "The Structure of Wall-Pressure Fluctuations in Turbulent Boundary Layers With Adverse Pressure Gradient and Separation," J. Fluid Mech., 377, pp. 347-373.
134. Hunt, J. C. R, Wray, A. A., and Moin, P., 1988, "Eddies, Streams and Convergence Zones in Turbulent Flows," Proc. 1988 Summer Prog. Cent. Turk. Res., NASA Ames/Stanford University, pp. 193-208.
135. Zhong, J., Huang, T. S., and Adrian, R. J., 1998, "Extracting 3D Vortices in Turbulent Fluid Flow." IEEE Trans. Pattern Anal. Mach. Intell., 20, pp. 193-199.
136. Adrian, R. J., Meinhart, C. D., and Tomkins, C. D., 2000, "Vortex Organization in the Outer Region of the Turbulent Boundary Layer," J. Fluid Mech., 422. pp. 1-54.
137. Jeong, J., Hussain, F., Schoppa, W., and Kim, J., 1997, "Coherent Structures Near the Wall in a Turbulent Channel Flow." J. Fluid Mech., 332, pp. 185-214.
138. Jeong, J., and Hussain, F., 1995, "On the Definition of a Vortex." J. Fluid Mech., 285, pp. 69-94.
139. Schoppa, W., and Hussain, F., 1998, "Genesis of Longitudinal Vortices in Near-Wall Turbulence," Meccanica, 33, pp. 489-501.
140. Schoppa, W., and Hussain, F., 2000, "Coherent Structure Dynamics in NearWall Turbulence," Fluid Dyn. Res., 26, pp. 119-139.
141. Schoppa, W., and Hussain, F., 2002, "Coherent Structure Generation in Near-Wall Turbulence," J. Fluid Mech., 453, pp. 57-108.
142. Berkooz, G., Holmes, P., and Lumley, J. L., 1993, "The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows," Annu. Rev. Fluid Mech., 25, pp. 539-575.
143. Holmes, P., Lumley, J. L., and Berkooz, G., 1996, Turbulence, Coherent Structures, Dynamical Systems and Symmetry, Cambridge University Press, Cambridge, UK.
144. Lumley, J. L., 1971, Stochastic Tools in Turbulence, Academic Press. New York.
145. Sirovich, L., 1987, "Turbulence and the Dynamics of Coherent Structures. Part I: Coherent Structures. Part II: Symmetries and Transformations. Part III: Dynamics and Scaling," Q. Appl. Math., 45, pp. 561-590.
146. Lanford, O. E., 1982, "The Strange Attractor Theory of Turbulence," Annu. Rev. Fluid Mech., 14, pp. 347-364.
147. Guckenheimer, I., 1986, "Strange Attractors in Fluids: Another View," Annu. Rev. Fluid Mech., 18, pp. 15-31.
148. Podvin, B., and Lumley, I., 1998, "A Low-Dimensional Approach for the Minimal Flow Unit," J. Fluid Mech., 362, pp. 121-155.
149. Ma, X., and Karniadakis, O.E., 2002, "A Low-Dimensional Model for Simulating Three-Dimensional Cylinder Flow," J. Fluid Mech., 458, pp. 181-190.
150. Sirovich, L., and Park, H., 1990, "Turbulent Thermal Convection in a Finite Domain: Part I. Theory," Phys. Fluids A, 2, pp. 1649-1658.
151. Park, H., and Sirovich, L., 1990, "Turbulent Thermal Convection in a Finite Domain: Part II. Numerical Results," Phys. Fluids A, 2, pp. 1659-1668.
152. Deane, A. E., and Sirovich, L., 1991, "A Computational Study of Rayleigh- Benard Convection. Part I. Rayleigh-Number Scaling," J. Fluid Mech., 222, pp. 231-250.
153. Sirovich, L., and Deane, A. E., 1991, "A Computational Study of Rayleigh-Bénard Convection. Part II. Dimension Considerations," J. Fluid Mech., 222, pp. 251-265.
154. Sirovich, L., Kirby, M., and Winter, M., 1990, "An Eigenfunction Approach to Large Scale Transitional Structures in let Flow," Phys. Fluids A, 2, pp. 127-136.
155. Kirby, M., Boris, J., and Sirovich, L., 1990, "An Eigenfunction Analysis for Axisymmetric Jet Flow," J. Comput. Phys., 90, pp. 98-122.
156. Manhart, M., 1998, "Vortex Shedding From a Hemisphere in a Turbulent Boundary Layer," Theor. Comput. Fluid Dyn., 12, pp. 1-28.
157. Alfonsi, G., Restano, C., and Primavera, L., 2003, "Coherent Structures of the Flow Around a Surface-Mounted Cubic Obstacle in Turbulent Channel Flow," J. Wind. Eng. Ind. Aerodyn., 91, pp. 495-511.
158. Bakewell, H. P., and Lumley, J. L., 1967, "Viscous Sublayer and Adjacent Wall Region in Turbulent Pipe Flows," Phys. Fluids, 10, pp. 1880-1889.
159. 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," J. Fluid Mech., 192, pp. 115-173.
160. Aubry, N., 1991, "On the Hidden Beauty of the Proper Orthogonal Decomposition," Theor. Comput. Fluid Dyn., 2, pp. 339-352.
161. Berkooz, G., Holmes, P., and Lumley, J. L., 1991, "Intermittent Dynamics in Simple Models of the Turbulent Wall Layer," J. Fluid Mech., 230, pp. 75-95.
162. Berkooz, G., Holmes, P., and Lumley, J. L., 1993, "On the Relation Between Low-Dimensional Models and the Dynamics of Coherent Structures in the Turbulent Boundary Layer," Theor. Comput. Fluid Dyn., 4, pp. 255-269.
163. Zhou, X., and Sirovich, L., 1992, "Coherence and Chaos in a Model of Turbulent Boundary Layer," Phys, Fluids A, 4, pp. 2855-2874.
164. Moin, P., and Moser, R. D., 1989, "Characteristic-Eddy Decomposition of Turbulence in a Channel," J. Fluid Mech., 200, pp. 471-509.
165. Sirovich, L., Ball, K. S., and Keefe, L. R., 1990, "Plane Waves and Structures in Turbulent Channel Flow," Phys. Fluids A, 2, pp. 2217-2226.
166. Ball, K. S., Sirovich, L., and Keefe, L. R., 1991, "Dynamical Eigenfunction Decomposition of Turbulent Channel Flow," Int. J. Numer. Methods Fluids, 12, pp. 585-604.
167. Jimenez, J., and Moin, P., 1991, "The Minimal Flow Unit in Near-Wall Turbulence," J. Fluid Mech., 225, pp. 213-240.
168. Handler, R. A., Levich, E., and Sirovich, L., 1993, "Drag Reduction in Turbulent Channel Flow by Phase Randomization," Phys. Fluids A, 5, pp. 686-694.
169. Levich, E., Shtilman, L., and Tur, A. V., 1991, "The Origin of Coherence in Hydrodynamical Turbulence," Physica A, 176, pp. 241-296.
170. Levich, E., 1996, "New Developments and Classical Theories of Turbulence," Int. J. Mod. Phys., 10, pp. 2325-2392.
171. Sirovich, L., and Karlsson, S., 1997, "Turbulent Drag Reduction by Passive Mechanisms," Nature (London), 388, pp. 753-755.