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An Implicitly Consistent Formulation of a Dual-Mesh Hybrid LES/RANS Method

Part of: Turbulence

Published online by Cambridge University Press:  07 February 2017

Heng Xiao ,
Jian-Xun Wang  and
Patrick Jenny
Heng Xiao*
Affiliation:
Department of Aerospace and Ocean Engineering, Virginia Tech, Blacksburg, VA 24060, USA
Jian-Xun Wang*
Affiliation:
Department of Aerospace and Ocean Engineering, Virginia Tech, Blacksburg, VA 24060, USA
Patrick Jenny*
Affiliation:
Institute of Fluid Dynamics, ETH Zürich, 8092 Zurich, Switzerland
*
*Corresponding author.Email addresses:hengxiao@vt.edu (H. Xiao), vtwjx@vt.edu (J.-X.Wang), jenny@ifd.mavt.ethz.ch (P. Jenny)
*Corresponding author.Email addresses:hengxiao@vt.edu (H. Xiao), vtwjx@vt.edu (J.-X.Wang), jenny@ifd.mavt.ethz.ch (P. Jenny)
*Corresponding author.Email addresses:hengxiao@vt.edu (H. Xiao), vtwjx@vt.edu (J.-X.Wang), jenny@ifd.mavt.ethz.ch (P. Jenny)
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Abstract

A consistent dual-mesh hybrid LES/RANS framework for turbulence modeling has been proposed recently (H. Xiao, P. Jenny, A consistent dual-mesh framework for hybrid LES/RANS modeling, J. Comput. Phys. 231 (4) (2012)). To better enforce componentwise Reynolds stress consistency between the LES and the RANS simulations, in the present work the original hybrid framework is modified to better exploit the advantage of more advanced RANS turbulence models. In the new formulation, the turbulent stresses in the filtered equations in the under-resolved regions are directly corrected based on the Reynolds stresses provided by the RANS simulation. More precisely, the new strategy leads to implicit LES/RANS consistency, where the velocity consistency is achieved indirectly via imposing consistency on the Reynolds stresses. This is in contrast to the explicit consistency enforcement in the original formulation, where forcing terms are added to the filtered momentum equations to achieve directly the desired average velocity and velocity fluctuations. The new formulation keeps the averaging procedure for the filtered quantities and at the same time preserves the ability of the original formulation to conform with the physical differences between LES and RANS quantities. The modified formulation is presented, analyzed, and then evaluated for plane channel flow and flow over periodic hills. Improved predictions are obtained compared with the results obtained using the original formulation.

Keywords

Hybrid LES/RANS methodsturbulence modelingwall-bounded flow

MSC classification

Secondary: 76F65: Direct numerical and large eddy simulation of turbulence
Type
Research Article
Information
Communications in Computational Physics , Volume 21 , Issue 2 , February 2017 , pp. 570 - 599
Copyright
Copyright © Global-Science Press 2017 

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