Skip to main content
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
1.S. K. Robinson, “Coherent motions in the turbulent boundary layer,” Annu. Rev. Fluid Mech. 23, 601639 (1991).
2.J. Hamilton, J. Kim, and F. Waleffe, “Regeneration mechanisms of near-wall turbulence structures,” J. Fluid Mech. 287, 317348 (1995).
3.N. Hutchins and I. Marusic, “Large-scale influences in near-wall turbulence,” Philos. Trans. R. Soc., A 365, 647664 (2007).
4.A. J. Smits, B. J. McKeon, and I. Marusic, “High-Reynolds number wall turbulence,” Annu. Rev. Fluid Mech. 43, 353375 (2011).
5.K. M. Bobba, “Robust flow stability: Theory, computations, and experiments in near wall turbulence,” Ph.D. thesis, California Institute of Technology, Pasadena, California, USA, 2004.
6.D. F. Gayme, B. J. McKeon, A. Papachristodoulou, B. Bamieh, and J. C. Doyle, “A streamwise constant model of turbulence in plane Couette flow,” J. Fluid Mech. 665, 99119 (2010).
7.D. F. Gayme, B. J. McKeon, B. Bamieh, A. Papachristodoulou, and J. C. Doyle, “Amplification and nonlinear mechanisms in plane Couette flow,” Phys. Fluids 23, 065108 (2011).
8.J.-L. Bourguignon and B. J. McKeon, “A streamwise-constant model of turbulent pipe flow,” Phys. Fluids 23, 095111 (2011).
9.V. Thomas, B. K. Lieu, M. R. Jovanović, B. F. Farrell, P. J. Ioannou, and D. F. Gayme, “Self-sustaining turbulence in a restricted nonlinear model of plane Couette flow,” Phys. Fluids 26, 105112 (2014).
10.N. C. Constantinou, A. Lozano-Durán, M.-A. Nikolaidis, B. F. Farrell, P. J. Ioannou, and J. Jiménez, “Turbulence in the highly restricted dynamics of a closure at second order: Comparison with DNS,” J. Phys.: Conf. Ser. 506, 118 (2014).
11.J. Kim, P. Moin, and R. Moser, “Turbulence statistics in fully developed channel flow at low Reynolds number,” J. Fluid Mech. 177, 133166 (1987).
12.R. D. Moser, J. Kim, and N. N. Mansour, “Direct numerical simulation of turbulent channel flow up to Re = 590,” Phys. Fluids 11, 943 (1999).
13.D. F. Gayme, V. Thomas, B. F. Farrell, and P. J. Ioannou, A minimal representation of turbulence in plane Couette flow (Bulletin of the American Physical Society, Division of Fluid Dynamics, Pittsburgh, PA, 2013).
14.S. B. Pope, Turbulent Flows, 1st ed. (Cambridge University Press, Cambridge, UK, 2000), Sec. 7.1, p. 278.
15.S. J. Kline, W. C. Reynolds, F. A. Schraub, and P. W. Runstadler, “The structure of turbulent boundary layers,” J. Fluid Mech. 30, 741773 (1967).
16.C. R. Smith and S. P. Metzler, “The characteristics of low-speed streaks in the near-wall region of a turbulent boundary layer,” J. Fluid Mech. 129, 2754 (1983).
17.J. Jiménez, “Cascades in wall-bounded turbulence,” Annu. Rev. Fluid Mech. 44, 2745 (2012).
18.J. Jiménez and P. Moin, “The minimal flow unit in near-wall turbulence,” J. Fluid Mech. 225, 213240 (1991).
19.J. Graham and C. Meneveau, “Modeling turbulent flow over fractal trees using renormalized numerical simulation: Alternate formulations and numerical experiments,” Phys. Fluids 24, 125105 (2012).

Data & Media loading...


Article metrics loading...



Numerical simulations of wall-turbulence using the restricted nonlinear (RNL) model generate realistic mean velocity profiles in plane Couette and channel flow at low Reynolds numbers. The results are less accurate at higher Reynolds number, and while a logarithmic region is observed, its von Kármán constant is not consistent with the standard logarithmic law. In half-channel flow, we show that limiting the streamwise-varying wavenumber support of RNL turbulence to one or few empirically determined modes improves its predictions considerably. In particular, the mean velocity profiles obtained with the band-limited RNL model follow standard logarithmic behavior for the higher Reynolds numbers in this study.


Full text loading...


Access Key

  • FFree Content
  • OAOpen Access Content
  • SSubscribed Content
  • TFree Trial Content
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd