Abstract
We propose to examine the structure and the dynamics of the empirical eigenfunctions of the autonomous near-wall region in a turbulent minimal channel flow. This simplified and artificial situation consists of a severe restriction of the interactions between the outer flow and the structures of the viscous and buffer layers so that it is possible to maintain turbulence in the near-wall region without any input from the outer flow. This is achieved in a DNS of a pressure-gradient driven turbulent channel flow for a minimal flow unit by damping artificially fluctuations in the outer flow while the near-wall region survives indefinitely. The use of empirical eigenfunctions (determined by the Karhuenen-Loève procedure or Proper Orthogonal Decomposition) reveals being an adequate tool for analysing the low-dimensional dynamics of the flow.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Panton, R. L. (1997). Self-sustaining mechanisms of wall turbulence. Computational Mechanics Publications.
Jiménez, J. P. Moin, P. (1991). The minimal flow unit in near-wall turbulence. J. Fluid Mech., 225: 213–240.
Waleffe, F. (1997). On a self-sustaining process in shear flows. Phys. Fluids., 9: 883–900.
Toh, S. Itano, T. (1999). Low-dimensional dynamics embedded in a plane Poiseuille flow turbulence. Traveling-wave solution is a saddle point? Preprint physics/9905012.
Waleffe, F. (1998). Three-dimensional coherent states in plane shear flows. Phys. Rev. Letters., 81: 4140–4143.
Jiménez, J. Pinelli, A. (1999). The autonomous cycle of near wall turbulence. J. Fluid Mech., 389: 335–359.
Lumley, J.L. (1971). Stochastic tools in turbulence. Academic Press, New York.
Moin, P. Moser, R. (1989). Characteristics-eddy decomposition of turbulence in a channel. J. Fluid Mech., 200: 471–509.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer Science+Business Media Dordrecht
About this paper
Cite this paper
Desmidts, D., Debliquy, O., Knaepen, B., Carati, D. (2004). POD of the Autonomous Near-Wall Region in a Minimal Channel Flow. In: Friedrich, R., Geurts, B.J., Métais, O. (eds) Direct and Large-Eddy Simulation V. ERCOFTAC Series, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-2313-2_13
Download citation
DOI: https://doi.org/10.1007/978-1-4020-2313-2_13
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6575-9
Online ISBN: 978-1-4020-2313-2
eBook Packages: Springer Book Archive