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Large-eddy simulation and wall modelling of turbulent channel flow

Chung, D. and Pullin, D. I. (2009) Large-eddy simulation and wall modelling of turbulent channel flow. Journal of Fluid Mechanics, 631 . pp. 281-309. ISSN 0022-1120. http://resolver.caltech.edu/CaltechAUTHORS:20090828-231034531

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Abstract

We report large-eddy simulation (LES) of turbulent channel flow. This LES neither resolves nor partially resolves the near-wall region. Instead, we develop a special near-wall subgrid-scale (SGS) model based on wall-parallel filtering and wall-normal averaging of the streamwise momentum equation, with an assumption of local inner scaling used to reduce the unsteady term. This gives an ordinary differential equation (ODE) for the wall shear stress at every wall location that is coupled with the LES. An extended form of the stretched-vortex SGS model, which incorporates the production of near-wall Reynolds shear stress due to the winding of streamwise momentum by near-wall attached SGS vortices, then provides a log relation for the streamwise velocity at the top boundary of the near-wall averaged domain. This allows calculation of an instantaneous slip velocity that is then used as a ‘virtual-wall’ boundary condition for the LES. A Kármán-like constant is calculated dynamically as part of the LES. With this closure we perform LES of turbulent channel flow for Reynolds numbers Re_τ based on the friction velocity u_τ and the channel half-width δ in the range 2 × 10^3 to 2 × 10^7. Results, including SGS-extended longitudinal spectra, compare favourably with the direct numerical simulation (DNS) data of Hoyas & Jiménez (2006) at Re_τ = 2003 and maintain an O(1) grid dependence on Re_τ.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1017/S0022112009006867DOIArticle
http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=5919208PublisherArticle
ORCID:
AuthorORCID
Chung, D.0000-0003-3732-364X
Additional Information:© Cambridge University Press 2009. (Received 28 May 2008 and in revised form 8 March 2009). Published online by Cambridge University Press 17 July 2009. The authors wish to thank Professor J. Jiménez who kindly provided DNS spectra. This work is partially supported by the NSF under grant CBET 0651754.
Group:GALCIT
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Funding AgencyGrant Number
NSFCBET-0651754
Record Number:CaltechAUTHORS:20090828-231034531
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20090828-231034531
Official Citation:D. CHUNG and D. I. PULLIN (2009). Large-eddy simulation and wall modelling of turbulent channel flow. Journal of Fluid Mechanics, 631 , pp 281-309 doi:10.1017/S0022112009006867
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:15454
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:10 Sep 2009 17:02
Last Modified:11 Sep 2017 18:03

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