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DOI | 10.1175/JAS-D-18-0016.1 |
Monin-Obukhov Similarity and Local-Free-Convection Scaling in the Atmospheric Boundary Layer Using Matched Asymptotic Expansions | |
Tong, Chenning; Ding, Mengjie | |
2018-10-01 | |
发表期刊 | JOURNAL OF THE ATMOSPHERIC SCIENCES |
ISSN | 0022-4928 |
EISSN | 1520-0469 |
出版年 | 2018 |
卷号 | 75期号:10页码:3691-3701 |
文章类型 | Article |
语种 | 英语 |
国家 | USA |
英文摘要 | The Monin-Obukhov similarity theory (MOST) is the foundation for understanding the atmospheric surface layer. It hypothesizes that nondimensional surface-layer statistics are functions of z/L only, where z and L are the distance from the ground and the Obukhov length, respectively. In particular, it predicts that in the convective surface layer, local free convection (LFC) occurs at heights -z/L >> 1 and z/z(i) << 1, where z(i) is the inversion height. However, as a hypothesis, MOST is based on phenomenology. In this work we derive MOST and the LFC scaling from the equations for the velocity and potential temperature variances using the method of matched asymptotic expansions. Our analysis shows that the dominance of the buoyancy and shear production in the outer (-z/L >> 1) and inner (-z/L less than or similar to 1) layers, respectively, results in a nonuniformly valid solution and a singular perturbation problem and that -L is the thickness of the inner layer. The inner solutions are found to be functions of z/L only, providing a proof of MOST for the vertical velocity and potential temperature variances. Matching between the inner and outer solutions results in the LFC scaling. We then obtain the corrections to the LFCscaling near the edges of the LFCregion (-z/L similar to 1 and z/z(i) similar to 1). The nondimensional coefficients in the expansions are determined using measurements. The resulting composite expansions provide unified expressions for the variance profiles in the convective atmospheric surface layer and show very good agreement with the data. This work provides strong analytical support for MOST. |
领域 | 地球科学 |
收录类别 | SCI-E |
WOS记录号 | WOS:000450965000003 |
WOS关键词 | TURBULENCE STRUCTURE ; BUDGETS ; STRESS |
WOS类目 | Meteorology & Atmospheric Sciences |
WOS研究方向 | Meteorology & Atmospheric Sciences |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://119.78.100.173/C666/handle/2XK7JSWQ/29385 |
专题 | 地球科学 |
作者单位 | Clemson Univ, Dept Mech Engn, Clemson, SC 29634 USA |
推荐引用方式 GB/T 7714 | Tong, Chenning,Ding, Mengjie. Monin-Obukhov Similarity and Local-Free-Convection Scaling in the Atmospheric Boundary Layer Using Matched Asymptotic Expansions[J]. JOURNAL OF THE ATMOSPHERIC SCIENCES,2018,75(10):3691-3701. |
APA | Tong, Chenning,&Ding, Mengjie.(2018).Monin-Obukhov Similarity and Local-Free-Convection Scaling in the Atmospheric Boundary Layer Using Matched Asymptotic Expansions.JOURNAL OF THE ATMOSPHERIC SCIENCES,75(10),3691-3701. |
MLA | Tong, Chenning,et al."Monin-Obukhov Similarity and Local-Free-Convection Scaling in the Atmospheric Boundary Layer Using Matched Asymptotic Expansions".JOURNAL OF THE ATMOSPHERIC SCIENCES 75.10(2018):3691-3701. |
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