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LES approach for high Reynolds number wall-bounded flows with application to turbulent channel flow

Pantano, C. and Pullin, D. I. and Dimotakis, P. E. and Matheou, G. (2008) LES approach for high Reynolds number wall-bounded flows with application to turbulent channel flow. Journal of Computational Physics, 227 (21). pp. 9271-9291. ISSN 0021-9991. doi:10.1016/

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We describe a large-eddy simulation approach for turbulent channel flow using the stretched-vortex subgrid-scale model. The inner region of the turbulent boundary layer is not included in the modeling of this attached, wall-bounded flow. Appropriate boundary conditions and closure are derived using a combination of elements from asymptotic expansions, matching, and well-established wall-modeling approaches. The modeling approach for this application combines the stretched-vortex subgrid model with a localized wall-shear-stress treatment that relates the instantaneous wall-parallel velocity to the shear stress via the log-law, as appropriate for this (near-) zero pressure gradient flow. The impermeability boundary condition is built into the method such that only the outer-flow solution is simulated, obviating the need to impose the stiff no-slip condition at the wall. This formulation attempts to minimize numerical and modeling errors introduced by the boundary-condition treatment, while preserving the fundamental elements required to predict low-order statistics of these flows. We present simulation results for turbulent channel flow up to Reynolds number based oil the wall-friction velocity of 10^6. These compare favorably with results from large-scale DNS and experimental correlations.

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Additional Information:© 2008 Elsevier Inc. Received 18 April 2007; received in revised form 18 February 2008; accepted 8 April 2008. Available online 26 April 2008. Special Issue Celebrating Tony Leonard’s 70th Birthday. We acknowledge fruitful discussions with Dr. A. Ferrante and thank the reviewers for many valuable comments. This work was largely undertaken while the first author resided at the California Institute of Technology, and was supported by AFOSR Grants FA9550-04-1-0020 and FA9550-04-1-0389, and by the Advanced Simulation and Computing (ASC) Program under Subcontract No. B341492 of the Department of Energy Contract W-7405-ENG-48.
Funding AgencyGrant Number
Air Force Office of Scientific ResearchFA9550-04-1-0020
Air Force Office of Scientific ResearchFA9550-04-1-0389
Department of EnergyB341492
Department of EnergyW-7405-ENG-48
Subject Keywords:LES; numerical methods; turbulence modeling; wall functions; law of the wall; boundary conditions
Issue or Number:21
Record Number:CaltechAUTHORS:PANjcp08
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:13409
Deposited By: Tony Diaz
Deposited On:08 May 2009 17:53
Last Modified:08 Nov 2021 22:37

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