A new single formula for the law of the wall and its application to wall-modeled large-eddy simulation

doi:10.1016/j.euromechflu.2022.03.013

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	A new single formula for the law of the wall and its application to wall-modeled large-eddy simulation
	Zhang FS(张凤顺); Zhou ZD(周志登); Zhang, Huan 2; Yang XL(杨晓雷)
刊名	EUROPEAN JOURNAL OF MECHANICS B-FLUIDS
	2022-07
卷号	94 页码:350
关键词	The law of the wall Wall model Large-eddy simulation
ISSN号	0997-7546
DOI	10.1016/j.euromechflu.2022.03.013
英文摘要	In this work, a new single formula is proposed for the law of the wall, which is dubbed as the LOG-EXP (logarithmic-exponential) formula, for predicting the mean velocity profile in different regions near the wall. When deriving the LOG-EXP formula, a correction term instead of a damping function is introduced to model the difference between the mixing-length eddy viscosity model and the actual Reynolds shear stress for the near-wall effect. The formula is tested using the direct numerical simulation (DNS) data of turbulent channel flows, the experimental data of the boundary layer flow over a flat plate, and the circular pipe flow for different Reynolds numbers. The formula is then employed as the wall model in wall-modeled large-eddy simulation (WMLES) and tested using the turbulent channel flow at three different Reynolds numbers. An overall good performance of the LOG-EXP formula is observed for all the considered cases. When refining the grid, no significant improvements are observed for the Reynolds stresses, as there are several factors, e.g., the grid employed, and the subgrid-scale model, affecting the predictive capability of WMLES. Further work is needed to quantify their effects and improve the WMLES predictions on a fine grid but not fine enough for a wall-resolved large-eddy simulation. (c) 2022 Elsevier Masson SAS. All rights reserved.
学科主题	Mechanics ; Physics, Fluids & Plasmas
分类号	二类
语种	英语
WOS记录号	WOS:000821838100005
资助机构	National Natural Science Foundation of China [11988102] ; Institute of Mechanics, China ; Chinese Academy of Sciences
其他责任者	Yang, XL (corresponding author), Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China.
内容类型	期刊论文
源URL	[http://dspace.imech.ac.cn/handle/311007/90162]
专题	力学研究所_非线性力学国家重点实验室
作者单位	1.Lanzhou Univ, Dept Mech & Engn Sci, Lanzhou 730000, Peoples R China 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Inst Mech, State Key Lab Nonlinear Mech, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang FS,Zhou ZD,Zhang, Huan,et al. A new single formula for the law of the wall and its application to wall-modeled large-eddy simulation[J]. EUROPEAN JOURNAL OF MECHANICS B-FLUIDS,2022,94:350.
APA	张凤顺,周志登,Zhang, Huan,&杨晓雷.(2022).A new single formula for the law of the wall and its application to wall-modeled large-eddy simulation.EUROPEAN JOURNAL OF MECHANICS B-FLUIDS,94,350.
MLA	张凤顺,et al."A new single formula for the law of the wall and its application to wall-modeled large-eddy simulation".EUROPEAN JOURNAL OF MECHANICS B-FLUIDS 94(2022):350.