Detrended analysis of Reynolds stress in a decaying turbulent flow in a wind tunnel with active grids

Multi-scale properties of Reynolds stress in decaying turbulence in a wind tunnel with high Reynolds number are investi-gated. Two filtering techniques i.e., the zeroth-order and first-order detrending methods are applied to the two velocity components, where the local mean value （resp. local linear...

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Bibliographic Details
Published inJournal of hydrodynamics. Series B Vol. 26; no. 1; pp. 122 - 128
Main Authors AHMAD, Imtiaz, HUANG, Yong-xiang, LU, Zhi-ming
Format Journal Article
LanguageEnglish
Published Singapore Elsevier Ltd 01.02.2014
Springer Singapore
Shanghai Institute of Applied Mathematics and Mechanics and Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China
Subjects
Computational fluid dynamics
Decay
detrended analysis
Engineering
Engineering Fluid Dynamics
Filtering
Fluid flow
Hydrology/Water Resources
Marine
multi-scale analysis
Numerical and Computational Physics
power law
Reynolds stress
Simulation
Turbulence
Turbulent flow
Wind tunnels
标度指数
测量位置
湍流
滤波技术
网格
腐朽
雷诺应力
风洞
Reynolds stress
detrended analysis
multi-scale analysis
power law
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Summary:Multi-scale properties of Reynolds stress in decaying turbulence in a wind tunnel with high Reynolds number are investi-gated. Two filtering techniques i.e., the zeroth-order and first-order detrending methods are applied to the two velocity components, where the local mean value （resp. local linear trend） is removed in the former （latter） technique. Some basic statistics for thirty mea-surements show that the variation is very large at first two locations and relatively small at last two locations. Moderately good power law is found for the mean value of local Reynolds stress at last three measurement locations with scaling exponents approxi-mately being 1.0 and a dual power law exists for the mean value of standard deviation of local Reynolds stress at all four measureme-nt locations with scaling exponents being 0.53 and 0.58 for zeroth-and first-order filtering respectively. Present results about local Reynolds stress are useful to build and evaluate the model of sub-grid Reynolds stress in large eddy simulations.
Bibliography:Reynolds stress, multi-scale analysis, detrended analysis, power law
31-1563/T
AHMAD lmtiaz Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad 13100, Pakistan HUANG Yong-xiang , LU Zhi-ming Shanghai Institute of Applied Mathematics and Mechanics and Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai University, Shanghai 200072, China
Multi-scale properties of Reynolds stress in decaying turbulence in a wind tunnel with high Reynolds number are investi-gated. Two filtering techniques i.e., the zeroth-order and first-order detrending methods are applied to the two velocity components, where the local mean value （resp. local linear trend） is removed in the former （latter） technique. Some basic statistics for thirty mea-surements show that the variation is very large at first two locations and relatively small at last two locations. Moderately good power law is found for the mean value of local Reynolds stress at last three measurement locations with scaling exponents approxi-mately being 1.0 and a dual power law exists for the mean value of standard deviation of local Reynolds stress at all four measureme-nt locations with scaling exponents being 0.53 and 0.58 for zeroth-and first-order filtering respectively. Present results about local Reynolds stress are useful to build and evaluate the model of sub-grid Reynolds stress in large eddy simulations.
ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 23
ISSN:1001-6058
1878-0342
DOI:10.1016/S1001-6058(14)60014-7