[1829] - On the role of return to isotropy in wall-bounded turbulent flows with buoyancy

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Citation
Bou-Zeid, E., Gao, X., Ansorge, C., Katul, G., 2018. On the role of return to isotropy in wall-bounded turbulent flows with buoyancy. Journal of Fluid Mechanics, 856, 61 - 78.
Identification
Title(s):Main Title: On the role of return to isotropy in wall-bounded turbulent flows with buoyancy
Description(s):Abstract: High Reynolds number wall-bounded turbulent flows subject to buoyancy forces are fraught with complex dynamics originating from the interplay between shear generation of turbulence (S) and its production or destruction by density gradients (B). For horizontal walls, S augments the energy budget of the streamwise fluctuations, while B influences the energy contained in the vertical fluctuations. Yet, return to isotropy remains a tendency of such flows where pressure–strain interaction redistributes turbulent energy among all three velocity components and thus limits, but cannot fully eliminate, the anisotropy of the velocity fluctuations. A reduced model of this energy redistribution in the inertial (logarithmic) sublayer, with no tuneable constants, is introduced and tested against large eddy and direct numerical simulations under both stable (B<0) and unstable (B>0) conditions. The model links key transitions in turbulence statistics with flux Richardson number (at Rif = −B/S ≈ −2, −1 and −0.5) to shifts in the direction of energy redistribution. Furthermore, when coupled to a linear Rotta-type closure, an extended version of the model can predict individual variance components, as well as the degree of turbulence anisotropy. The extended model indicates a regime transition under stable conditions when Rif approaches Rif ,max ≈ +0.21. Buoyant destruction B increases with increasing stabilizing density gradients when Rif < Rif ,max , while at Rif Rif ,max limitations on the redistribution into the vertical component throttle the highest attainable rate of buoyant destruction, explaining the ‘self-preservation’ of turbulence at large positive gradient Richardson numbers. Despite adopting a ‘framework of maximum simplicity’, the model results in novel and insightful findings on how the interacting roles of energy redistribution and buoyancy modulate the variance budgets and the energy exchange among the components.
Citation Advice:Bou-Zeid, Elie, Xiang Gao, Cedrick Ansorge, and Gabriel G Katul. 2018. “On the Role of Return to Isotropy in Wall-Bounded Turbulent Flows with Buoyancy.” Journal of Fluid Mechanics 856 (December). Cambridge University Press: 61–78. doi:10.1017/jfm.2018.693.
Responsible Party
Creator(s):Author: Elie Bou-Zeid
Author: Xiang Gao
Author: Cedrick Ansorge
Author: Gabriel Katul
Funding Reference(s):Deutsche Forschungsgemeinschaft (DFG): CRC/TRR 32: Patterns in Soil-Vegetation-Atmosphere Systems: Monitoring, Modelling and Data Assimilation
National Science Foundation: NSF-EAR-1344703: NSF-EAR-1344703
National Science Foundation: NSF-AGS-1644382: Ultra Fine Particle Deposition onto Vegetated Surfaces Situated on Complex Topography: From Leaf to Landscape
National Science Foundation: NSF-IOS-1754893: The dynamics of embolism formation and repair in xylem conduits: from bubble scale to loss in plant hydraulic transport capacity
Universität zu Köln: PostDocGrant2018: Quantitative analyses of exchange through the land–atmosphere interface
Publisher:Cambridge University Press
Topic
TR32 Topic:Atmosphere
Related Sub-project(s):C7
Subject(s):CRC/TR32 Keywords: Turbulence, Stability, Surface Fluxes
Topic Category:ClimatologyMeteorologyAtmosphere
File Details
File Name:PUBLISHED.pdf
Data Type:Text
Size(s):18 Pages
File Size:636 kB (0.621 MB)
Date(s):Available: 2018-09-28 ((Published))
Date Accepted: 2018-08-22
Date Submitted: 2018-02-22
Mime Type:application/pdf
Data Format:PDF
Language:English
Status:Completed
Constraints
Download Permission:OnlyTR32
General Access and Use Conditions:According to the TR32DB data policy agreement.
Access Limitations:According to the TR32DB data policy agreement.
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Measurement Region:None
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Specific Informations - Publication
Status:Accepted
Review:PeerReview
Year:2018
Type:Article
Article Type:Journal
Source:Journal of Fluid Mechanics
Volume:856
Number Of Pages:18
Page Range:61 - 78
Metadata Details
Metadata Creator:Cedrick Ansorge
Metadata Created:2018-09-30
Metadata Last Updated:2018-09-30
Subproject:C7
Funding Phase:3
Metadata Language:English
Metadata Version:V43
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