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Regeneration mechanisms of near-wall turbulence structures. (English) Zbl 0867.76032
The self-regeneration of organized structures with spanwise spacing in the near-wall region of turbulent flows was observed experimentally for many years. This paper tries to numerically simulate such a phenomenon in a turbulent flow. The authors employed a two-dimensional Couette flow model with periodic streamwise and spanwise boundaries. They claim that such a Couette turbulent flow is ideal to investigate the regeneration of the coherent structures in the near-wall region. The numerical results show that a quasi-cyclic process of the generation of organized structures always occurs in the near-wall region of the Couette flow. Each cycle of the process is composed of the streak formation by streamwise vortices, breakdown on the streaks, and the regeneration of the streamwise vortices. The authors show that the formation of streaks results from simple advection of momentum by streamwise vortices, and the instability of streaks of the coherent structures results in their breakdown. During the streak breakdown, the interaction of the coherent structures re-energizes the streamwise vortices, and then a new set of streaks will be formed. A new cycle of the process begins.

76F10 Shear flows and turbulence
76M25 Other numerical methods (fluid mechanics) (MSC2010)
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[1] Swearingen, J. Fluid Mech. 182 pp 255– (1987)
[2] Smith, J. Fluid Mech. 129 pp 27– (1983)
[3] Hamilton, J. Fluid Mech. 264 pp 185– (1994)
[4] DOI: 10.1063/1.861156 · Zbl 0308.76030 · doi:10.1063/1.861156
[5] Craik, J. Fluid Mech. 73 pp 401– (1976)
[6] Craik, J. Fluid Mech. 125 pp 37– (1982)
[7] Butler, Phys. Fluids 5 pp 774– (1993) · doi:10.1063/1.858663
[8] Blackwelder, J. Fluid Mech. 94 pp 577– (1979)
[9] DOI: 10.1063/1.1762382 · doi:10.1063/1.1762382
[10] Aubry, J. Fluid Mech. 192 pp 115– (1988)
[11] Landahl, J. Fluid Mech. 98 pp 243– (1980)
[12] Kline, J. Fluid Mech. 30 pp 741– (1967)
[13] Klebanoff, J. Fluid Mech. 12 pp 1– (1962)
[14] Kim, J. Fluid Mech. 177 pp 133– (1987)
[15] Kim, J. Fluid Mech. 50 pp 133– (1971)
[16] JimĂ©nez, J. Fluid Mech. 225 pp 213– (1991)
[17] DOI: 10.1063/1.868327 · doi:10.1063/1.868327
[18] Jang, J. Fluid Mech. 169 pp 109– (1986)
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