Intrinsic Constraints on Asymmetric Turbulent Transport of Scalars Within the Constant Flux Layer of the Lower Atmosphere: CONSTANT FLUX LAYER
Abstract
A widely used assumption in boundary layer meteorology is the z independence of turbulent scalar fluxes Fs throughout the atmospheric surface layer, where z is the distance from the boundary. This assumption is necessary for the usage of Monin-Obukhov Similarity Theory and for the interpretation of eddy covariance measurements of Fs when using them to represent emissions or uptake from the surface. It is demonstrated here that the constant flux assumption offers intrinsic constraints on the third-order turbulent transport of Fs in the unstable atmospheric surface layer. When enforcing z independence of Fs on multilevel Fs measurements collected above different surface cover types, it is shown that increasing instability leads to a novel and universal description of (i) the imbalance between ejecting and sweeping eddy contributions to Fs and (ii) the ratio formed by a dimensionless turbulent transport of Fs and a dimensionless turbulent transport of scalar variance. When combined with structural models for the turbulent transport of Fs, these two findings offer a new perspective on “closing” triple moments beyond conventional gradient diffusion schemes. A practical outcome is a diagnostic of the constant flux assumption from single-level Fs measurements.
- Authors:
-
- Boston Univ., MA (United States)
- Duke Univ., Durham, NC (United States)
- Washington State Univ., Pullman, WA (United States)
- Publication Date:
- Research Org.:
- Duke Univ., Durham, NC (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1537336
- Grant/Contract Number:
- SC0011461
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Geophysical Research Letters
- Additional Journal Information:
- Journal Volume: 45; Journal Issue: 4; Journal ID: ISSN 0094-8276
- Publisher:
- American Geophysical Union
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 54 ENVIRONMENTAL SCIENCES; Geology
Citation Formats
Li, Dan, Katul, Gabriel G., and Liu, Heping. Intrinsic Constraints on Asymmetric Turbulent Transport of Scalars Within the Constant Flux Layer of the Lower Atmosphere: CONSTANT FLUX LAYER. United States: N. p., 2018.
Web. doi:10.1002/2018gl077021.
Li, Dan, Katul, Gabriel G., & Liu, Heping. Intrinsic Constraints on Asymmetric Turbulent Transport of Scalars Within the Constant Flux Layer of the Lower Atmosphere: CONSTANT FLUX LAYER. United States. https://doi.org/10.1002/2018gl077021
Li, Dan, Katul, Gabriel G., and Liu, Heping. Wed .
"Intrinsic Constraints on Asymmetric Turbulent Transport of Scalars Within the Constant Flux Layer of the Lower Atmosphere: CONSTANT FLUX LAYER". United States. https://doi.org/10.1002/2018gl077021. https://www.osti.gov/servlets/purl/1537336.
@article{osti_1537336,
title = {Intrinsic Constraints on Asymmetric Turbulent Transport of Scalars Within the Constant Flux Layer of the Lower Atmosphere: CONSTANT FLUX LAYER},
author = {Li, Dan and Katul, Gabriel G. and Liu, Heping},
abstractNote = {A widely used assumption in boundary layer meteorology is the z independence of turbulent scalar fluxes Fs throughout the atmospheric surface layer, where z is the distance from the boundary. This assumption is necessary for the usage of Monin-Obukhov Similarity Theory and for the interpretation of eddy covariance measurements of Fs when using them to represent emissions or uptake from the surface. It is demonstrated here that the constant flux assumption offers intrinsic constraints on the third-order turbulent transport of Fs in the unstable atmospheric surface layer. When enforcing z independence of Fs on multilevel Fs measurements collected above different surface cover types, it is shown that increasing instability leads to a novel and universal description of (i) the imbalance between ejecting and sweeping eddy contributions to Fs and (ii) the ratio formed by a dimensionless turbulent transport of Fs and a dimensionless turbulent transport of scalar variance. When combined with structural models for the turbulent transport of Fs, these two findings offer a new perspective on “closing” triple moments beyond conventional gradient diffusion schemes. A practical outcome is a diagnostic of the constant flux assumption from single-level Fs measurements.},
doi = {10.1002/2018gl077021},
journal = {Geophysical Research Letters},
number = 4,
volume = 45,
place = {United States},
year = {Wed Feb 07 00:00:00 EST 2018},
month = {Wed Feb 07 00:00:00 EST 2018}
}
Web of Science
Works referenced in this record:
Project Sagebrush: Revisiting the Value of the Horizontal Plume Spread Parameter σ y
journal, June 2016
- Finn, D.; Clawson, K. L.; Eckman, R. M.
- Journal of Applied Meteorology and Climatology, Vol. 55, Issue 6
A New Second-Order Turbulence Closure Scheme for the Planetary Boundary Layer
journal, July 1997
- Abdella, K.; McFarlane, N.
- Journal of the Atmospheric Sciences, Vol. 54, Issue 14
Evidence for Gap Flows in the Birch Creek Valley, Idaho
journal, December 2016
- Finn, D.; Reese, B.; Butler, B.
- Journal of the Atmospheric Sciences, Vol. 73, Issue 12
Turbulent Energy Spectra and Cospectra of Momentum and Heat Fluxes in the Stable Atmospheric Surface Layer
journal, June 2015
- Li, Dan; Katul, Gabriel G.; Bou-Zeid, Elie
- Boundary-Layer Meteorology, Vol. 157, Issue 1
Turbulent Transport of Momentum and Scalars Above an Urban Canopy
journal, November 2013
- Wang, Linlin; Li, Dan; Gao, Zhiqiu
- Boundary-Layer Meteorology, Vol. 150, Issue 3
Structure of the Planetary Boundary Layer and Implications for its Modeling
journal, November 1985
- Wyngaard, John C.
- Journal of Climate and Applied Meteorology, Vol. 24, Issue 11
Transport asymmetry in skewed turbulence
journal, January 1991
- Wyngaard, John C.; Weil, Jeffrey C.
- Physics of Fluids A: Fluid Dynamics, Vol. 3, Issue 1
Second-Order Closure PBL Model with New Third-Order Moments: Comparison with LES Data
journal, June 1994
- Canuto, V. M.; Minotti, F.; Ronchi, C.
- Journal of the Atmospheric Sciences, Vol. 51, Issue 12
Estimating Heat Sources And Fluxes In Thermally Stratified Canopy Flows Using Higher-Order Closure Models
journal, April 2002
- Siqueira, Mario; Katul, Gabriel
- Boundary-Layer Meteorology, Vol. 103, Issue 1
Third-Order Transport and Nonlocal Turbulence Closures for Convective Boundary Layers*
journal, October 1999
- Zilitinkevich, S.; Gryanik, V. M.; Lykossov, V. N.
- Journal of the Atmospheric Sciences, Vol. 56, Issue 19
Modelling the plant canopy micrometeorology with higher-order closure principles
journal, October 1987
- Meyers, Tilden P.; Paw U., Kyaw Tha
- Agricultural and Forest Meteorology, Vol. 41, Issue 1-2
Monin–Obukhov Similarity Functions for the Structure Parameters of Temperature and Humidity
journal, October 2011
- Li, Dan; Bou-Zeid, Elie; De Bruin, Henk A. R.
- Boundary-Layer Meteorology, Vol. 145, Issue 1
The non-local character of turbulence asymmetry in the convective atmospheric boundary layer: Turbulence Asymmetry in CABL
journal, December 2016
- Ghannam, Khaled; Duman, Tomer; Salesky, Scott T.
- Quarterly Journal of the Royal Meteorological Society, Vol. 143, Issue 702
The relative importance of ejections and sweeps to momentum transfer in the atmospheric boundary layer
journal, July 2006
- Katul, Gabriel; Poggi, Davide; Cava, Daniela
- Boundary-Layer Meteorology, Vol. 120, Issue 3
Countergradient Transport Revisited
journal, August 2001
- van Dop, Han; Verver, Gé
- Journal of the Atmospheric Sciences, Vol. 58, Issue 15
Buoyancy and The Sensible Heat Flux Budget Within Dense Canopies
journal, January 2006
- Cava, D.; Katul, G. G.; Scrimieri, A.
- Boundary-Layer Meteorology, Vol. 118, Issue 1
Mean fields and fluctuation moments in unstably stratified turbulent boundary layers
journal, March 1990
- Kader, B. A.; Yaglom, A. M.
- Journal of Fluid Mechanics, Vol. 212, Issue -1
Parameterization Schemes: Keys to Understanding Numerical Weather Prediction Models
book, January 2007
- Stensrud, David J.
Eddy Diffusivity and Countergradient Transport in the Convective Atmospheric Boundary Layer
journal, July 1991
- Holtslag, A. A. M.; Moeng, Chin-Hoh
- Journal of the Atmospheric Sciences, Vol. 48, Issue 14
A Turbulence Closure for the Convective Boundary Layer Based on a Two-Scale Mass-Flux Approach
journal, September 2002
- Gryanik, Vladimir M.; Hartmann, Jörg
- Journal of the Atmospheric Sciences, Vol. 59, Issue 18
An Introduction to Boundary Layer Meteorology
book, January 1988
- Stull, Roland B.
- Atmospheric and Oceanographic Sciences Library
Subgrid-Scale Dynamics of Water Vapour, Heat, and Momentum over a Lake
journal, July 2008
- Vercauteren, Nikki; Bou-Zeid, Elie; Parlange, Marc B.
- Boundary-Layer Meteorology, Vol. 128, Issue 2
Quadrant Analysis in Turbulence Research: History and Evolution
journal, January 2016
- Wallace, James M.
- Annual Review of Fluid Mechanics, Vol. 48, Issue 1
The ejection-sweep cycle over bare and forested gentle hills: a laboratory experiment
journal, November 2006
- Poggi, D.; Katul, G.
- Boundary-Layer Meteorology, Vol. 122, Issue 3
The Critical Richardson Number and the Ratio of the Eddy Transport Coefficients Obtained from a Turbulence Closure Model
journal, May 1975
- Yamada, Tetsuji
- Journal of the Atmospheric Sciences, Vol. 32, Issue 5
Statistical characteristics of wall turbulence with a passive scalar
journal, November 1988
- Nagano, Y.; Tagawa, M.
- Journal of Fluid Mechanics, Vol. 196
Two phenomenological constants explain similarity laws in stably stratified turbulence
journal, February 2014
- Katul, Gabriel G.; Porporato, Amilcare; Shah, Stimit
- Physical Review E, Vol. 89, Issue 2
Development of a turbulence closure model for geophysical fluid problems
journal, January 1982
- Mellor, George L.; Yamada, Tetsuji
- Reviews of Geophysics, Vol. 20, Issue 4
Conditional statistics of the Reynolds stress in the under-ice boundary layer
journal, January 2004
- Fer, Ilker
- Geophysical Research Letters, Vol. 31, Issue 15
Turbulent eddy motion at the forest-atmosphere interface
journal, June 1997
- Katul, Gabriel; Hsieh, Cheng-I; Kuhn, Greg
- Journal of Geophysical Research: Atmospheres, Vol. 102, Issue D12
The Ejection-Sweep Character of Scalar Fluxes in the Unstable Surface Layer
journal, April 1997
- Katul, Gabriel; Kuhn, Greg; Schieldge, John
- Boundary-Layer Meteorology, Vol. 83, Issue 1
Co-spectrum and mean velocity in turbulent boundary layers
journal, September 2013
- Katul, Gabriel G.; Porporato, Amilcare; Manes, Costantino
- Physics of Fluids, Vol. 25, Issue 9
Coherent Structures and the Dissimilarity of Turbulent Transport of Momentum and Scalars in the Unstable Atmospheric Surface Layer
journal, April 2011
- Li, Dan; Bou-Zeid, Elie
- Boundary-Layer Meteorology, Vol. 140, Issue 2
FLUXNET: A New Tool to Study the Temporal and Spatial Variability of Ecosystem–Scale Carbon Dioxide, Water Vapor, and Energy Flux Densities
journal, November 2001
- Baldocchi, Dennis; Falge, Eva; Gu, Lianhong
- Bulletin of the American Meteorological Society, Vol. 82, Issue 11
A structural turbulence model for triple products of velocity and scalar
journal, June 1990
- Nagano, Y.; Tagawa, M.
- Journal of Fluid Mechanics, Vol. 215, Issue -1
An Analysis of Closures for Pressure-Scalar Covariances in the Convective Boundary Layer
journal, November 1986
- Moeng, Chin-Hoh; Wyngaard, John C.
- Journal of the Atmospheric Sciences, Vol. 43, Issue 21
Local Versus Nonlocal Boundary-Layer Diffusion in a Global Climate Model
journal, October 1993
- Holtslag, A. A. M.; Boville, B. A.
- Journal of Climate, Vol. 6, Issue 10
Estimating Co2 Source/Sink Distributions Within A Rice Canopy Using Higher-Order Closure Model
journal, January 2001
- Katul, G. G.; Leuning, R.; Kim, J.
- Boundary-Layer Meteorology, Vol. 98, Issue 1
A Hierarchy of Turbulence Closure Models for Planetary Boundary Layers
journal, October 1974
- Mellor, George L.; Yamada, Tetsuji
- Journal of the Atmospheric Sciences, Vol. 31, Issue 7
Statistische Theorie nichthomogener Turbulenz
journal, March 1951
- Rotta, J.
- Zeitschrift f�r Physik, Vol. 131, Issue 1
Turbulent transport efficiency and the ejection-sweep motion for momentum and heat on sloping terrain covered with vineyards
journal, September 2012
- Francone, Caterina; Katul, Gabriel G.; Cassardo, Claudio
- Agricultural and Forest Meteorology, Vol. 162-163
Momentum Transfer and Turbulent Kinetic Energy Budgets within a Dense Model Canopy
journal, June 2004
- Poggi, D.; Katul, G. G.; Albertson, J. D.
- Boundary-Layer Meteorology, Vol. 111, Issue 3
Scale dependence of subgrid-scale model coefficients: An a priori study
journal, November 2008
- Bou-Zeid, Elie; Vercauteren, Nikki; Parlange, Marc B.
- Physics of Fluids, Vol. 20, Issue 11
Turbulence in the Atmosphere
journal, January 2011
- LaCasce, Joseph H.
- Physics Today, Vol. 64, Issue 1
Turbulent Flows
journal, October 2001
- Pope, Stephen B.
- Measurement Science and Technology, Vol. 12, Issue 11
Works referencing / citing this record:
Representing the Heat-to-Moisture Transport Efficiency in Stable Conditions: An Extension of Two Different Approaches
journal, December 2019
- Guo, Xiaofeng; Yang, Kun; Yang, Wei
- Asia-Pacific Journal of Atmospheric Sciences, Vol. 56, Issue 4
On the role of return to isotropy in wall-bounded turbulent flows with buoyancy
journal, September 2018
- Bou-Zeid, Elie; Gao, Xiang; Ansorge, Cedrick
- Journal of Fluid Mechanics, Vol. 856
On the Variability of Arabian Sea Mixing and its Energetics
journal, November 2019
- Singh, Shikha; Valsala, Vinu; Prajeesh, A. G.
- Journal of Geophysical Research: Oceans, Vol. 124, Issue 11
Mechanistic links between underestimated CO 2 fluxes and non-closure of the surface energy balance in a semi-arid sagebrush ecosystem
journal, April 2019
- Gao, Zhongming; Liu, Heping; Missik, Justine E. C.
- Environmental Research Letters, Vol. 14, Issue 4