A new dynamic subgrid eddy viscosity model with application to turbulent channel flow

2004 ◽  
Vol 16 (8) ◽  
pp. 2835-2842 ◽  
Author(s):  
Guixiang Cui ◽  
Haibing Zhou ◽  
Zhaoshun Zhang ◽  
Liang Shao
Keyword(s):  
Channel Flow ◽  
Eddy Viscosity ◽  
Turbulent Channel Flow ◽  
Viscosity Model ◽  
Eddy Viscosity Model

The nature of a universal subgrid eddy viscosity model in a turbulent channel flow

2011 ◽  
Vol 94 (3) ◽  
pp. 34003 ◽  
Author(s):  
Zhaolin Gu ◽  
Jianying Jiao ◽  
Yunwei Zhang ◽  
Junwei Su
Keyword(s):  
Channel Flow ◽  
Eddy Viscosity ◽  
Turbulent Channel Flow ◽  
Viscosity Model ◽  
Eddy Viscosity Model

scholarly journals Resolvent-based estimation of turbulent channel flow using wall measurements

2021 ◽  
Vol 927 ◽  
Author(s):  
Filipe R. Amaral ◽  
André V.G. Cavalieri ◽  
Eduardo Martini ◽  
Peter Jordan ◽  
Aaron Towne
Keyword(s):  
Large Scale ◽  
Eddy Viscosity ◽  
Pressure Fluctuations ◽  
Turbulent Channel Flow ◽  
Viscosity Model ◽  
Accurate Estimation ◽  
Linear Estimator ◽  
Estimation Errors ◽  
Eddy Viscosity Model ◽  
Logarithmic Layer

We employ a resolvent-based methodology to estimate velocity and pressure fluctuations within turbulent channel flows at friction Reynolds numbers of approximately 180, 550 and 1000 using measurements of shear stress and pressure at the walls, taken from direct numerical simulation (DNS) databases. Martini et al. (J. Fluid Mech., vol. 900, 2021, p. A2) showed that the resolvent-based estimator is optimal when the true space–time forcing statistics are utilised, thus providing an upper bound for the accuracy of any linear estimator. We use this framework to determine the flow structures that can be linearly estimated from wall measurements, and we characterise these structures and the estimation errors in both physical and wavenumber space. We also compare these results to those obtained using approximate forcing models – an eddy-viscosity model and white-noise forcing – and demonstrate the significant benefit of using true forcing statistics. All models lead to accurate results up to the buffer layer, but only using the true forcing statistics allows accurate estimation of large-scale logarithmic-layer structures, with significant correlation between the estimates and DNS results throughout the channel. The eddy-viscosity model displays an intermediate behaviour, which may be related to its ability to partially capture the forcing colour. Our results show that structures that leave a footprint on the channel walls can be accurately estimated using the linear resolvent-based methodology, and the presence of large-scale wall-attached structures enables accurate estimations through the logarithmic layer.

A simple eddy viscosity model for turbulent pipe and channel flow.

AIAA Journal ◽  
1972 ◽  
Vol 10 (3) ◽  
pp. 350-352 ◽  
Author(s):  
JOSEPH MEI ◽  
WILLIAM SQUIRE
Keyword(s):  
Channel Flow ◽  
Eddy Viscosity ◽  
Viscosity Model ◽  
Eddy Viscosity Model

Development of a nonlinear eddy-viscosity closure for the triple-decomposition stability analysis of a turbulent channel

2010 ◽  
Vol 664 ◽  
pp. 74-107 ◽  
Author(s):  
V. KITSIOS ◽  
L. CORDIER ◽  
J.-P. BONNET ◽  
A. OOI ◽  
J. SORIA
Keyword(s):  
Stability Analysis ◽  
Eddy Viscosity ◽  
Turbulent Channel Flow ◽  
Decay Rates ◽  
Viscosity Model ◽  
Mode Shapes ◽  
Eddy Viscosity Model ◽  
Coherent Wave ◽  
Statistical Measures ◽  
The Stability

The analysis of the instabilities in an unsteady turbulent flow is undertaken using a triple decomposition to distinguish between the time-averaged field, a coherent wave and the remaining turbulent scales of motion. The stability properties of the coherent scale are of interest. Previous studies have relied on prescribed constants to close the equations governing the evolution of the coherent wave. Here we propose an approach where the model constants are determined only from the statistical measures of the unperturbed velocity field. Specifically, a nonlinear eddy-viscosity model is used to close the equations, and is a generalisation of earlier linear eddy-viscosity closures. Unlike previous models the proposed approach does not assume the same dissipation rate for the time- and phase-averaged fields. The proposed approach is applied to a previously published turbulent channel flow, which was harmonically perturbed by two vibrating ribbons located near the channel walls. The response of the flow was recorded at several downstream stations by phase averaging the probe measurements at the same frequency as the forcing. The experimentally measured growth rates and velocity profiles, are compared to the eigenvalues and eigenvectors resulting from the stability analysis undertaken herein. The modes recovered from the solution of the eigenvalue problem, using the nonlinear eddy-viscosity model, are shown to capture the experimentally measured spatial decay rates and mode shapes of the coherent scale.

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