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Reynolds-stress-constrained large-eddy simulation of wall-bounded turbulent flows

Published online by Cambridge University Press:  07 June 2012

Shiyi Chen ,
Zhenhua Xia ,
Suyang Pei ,
Jianchun Wang ,
Yantao Yang ,
Zuoli Xiao  and
Yipeng Shi
Shiyi Chen
Affiliation:
State Key Laboratory of Turbulence and Complex Systems, College of Engineering and CAPT & CCSE, Peking University, Beijing 100871, PR China Department of Mechanical Engineering, The Johns Hopkins University, Baltimore, MD 21218, USA
Zhenhua Xia
Affiliation:
State Key Laboratory of Turbulence and Complex Systems, College of Engineering and CAPT & CCSE, Peking University, Beijing 100871, PR China Department of Mechanical Engineering, The Johns Hopkins University, Baltimore, MD 21218, USA
Suyang Pei
Affiliation:
State Key Laboratory of Turbulence and Complex Systems, College of Engineering and CAPT & CCSE, Peking University, Beijing 100871, PR China
Jianchun Wang
Affiliation:
State Key Laboratory of Turbulence and Complex Systems, College of Engineering and CAPT & CCSE, Peking University, Beijing 100871, PR China
Yantao Yang
Affiliation:
State Key Laboratory of Turbulence and Complex Systems, College of Engineering and CAPT & CCSE, Peking University, Beijing 100871, PR China
Zuoli Xiao
Affiliation:
State Key Laboratory of Turbulence and Complex Systems, College of Engineering and CAPT & CCSE, Peking University, Beijing 100871, PR China Department of Mechanical Engineering, The Johns Hopkins University, Baltimore, MD 21218, USA
Yipeng Shi*
Affiliation:
State Key Laboratory of Turbulence and Complex Systems, College of Engineering and CAPT & CCSE, Peking University, Beijing 100871, PR China Department of Mechanical Engineering, The Johns Hopkins University, Baltimore, MD 21218, USA
*
†Email address for correspondence: [email protected]
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Abstract

In the traditional hybrid RANS/LES approaches for the simulation of wall-bounded fluid turbulence, such as detached-eddy simulation (DES), the whole flow domain is divided into an inner layer and an outer layer. Typically the Reynolds-averaged Navier–Stokes (RANS) equations are used for the inner layer, while large-eddy simulation (LES) is used for the outer layer. The transition from the inner-layer solution to the outer-layer solution is often problematic due to the lack of small-scale dynamics in the RANS region. In this paper, we propose to simulate the whole flow domain by large-eddy simulation while enforcing a Reynolds-stress constraint on the subgrid-scale (SGS) stress model in the inner layer. Both the algebraic eddy-viscosity model and the one-equation Spalart–Allmaras (SA) model have been used to constrain the Reynolds stress in the inner layer. In this way, we improve the LES methodology by allowing the mean flow of the inner layer to satisfy the RANS solution while small-scale dynamics is included. We validate the Reynolds-stress-constrained large-eddy simulation (RSC-LES) model by simulating three-dimensional turbulent channel flow and flow past a circular cylinder. Our model is able to predict mean velocity, turbulent stress and skin-friction coefficients more accurately in turbulent channel flow and to estimate the pressure coefficient after separation more precisely in flow past a circular cylinder compared with the pure dynamic Smagorinsky model (DSM) and DES using the same grid resolution. Furthermore, the computational cost of the RSC-LES is almost the same as that of DES.

JFM classification

Turbulent Flows: Turbulence control Turbulent Flows: Turbulence modelling Turbulent Flows: Turbulence simulation
Type
Papers
Information
Journal of Fluid Mechanics , Volume 703 , 25 July 2012 , pp. 1 - 28
Copyright
Copyright © Cambridge University Press 2012

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