skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: 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:
ORCiD logo [1]; ORCiD logo [2]; ORCiD logo [3]
  1. Boston Univ., MA (United States)
  2. Duke Univ., Durham, NC (United States)
  3. 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. doi: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. doi: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 = {2018},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 7 works
Citation information provided by
Web of Science

Save / Share:

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
  • DOI: 10.1175/JAMC-D-15-0283.1

A New Second-Order Turbulence Closure Scheme for the Planetary Boundary Layer
journal, July 1997


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
  • DOI: 10.1175/JAS-D-16-0052.1

Turbulent Energy Spectra and Cospectra of Momentum and Heat Fluxes in the Stable Atmospheric Surface Layer
journal, June 2015


Turbulent Transport of Momentum and Scalars Above an Urban Canopy
journal, November 2013


Structure of the Planetary Boundary Layer and Implications for its Modeling
journal, November 1985


Transport asymmetry in skewed turbulence
journal, January 1991

  • Wyngaard, John C.; Weil, Jeffrey C.
  • Physics of Fluids A: Fluid Dynamics, Vol. 3, Issue 1
  • DOI: 10.1063/1.857874

Second-Order Closure PBL Model with New Third-Order Moments: Comparison with LES Data
journal, June 1994


Estimating Heat Sources And Fluxes In Thermally Stratified Canopy Flows Using Higher-Order Closure Models
journal, April 2002


Third-Order Transport and Nonlocal Turbulence Closures for Convective Boundary Layers*
journal, October 1999


Modelling the plant canopy micrometeorology with higher-order closure principles
journal, October 1987


Monin–Obukhov Similarity Functions for the Structure Parameters of Temperature and Humidity
journal, October 2011


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
  • DOI: 10.1002/qj.2937

The relative importance of ejections and sweeps to momentum transfer in the atmospheric boundary layer
journal, July 2006


Countergradient Transport Revisited
journal, August 2001


Buoyancy and The Sensible Heat Flux Budget Within Dense Canopies
journal, January 2006


Mean fields and fluctuation moments in unstably stratified turbulent boundary layers
journal, March 1990


Eddy Diffusivity and Countergradient Transport in the Convective Atmospheric Boundary Layer
journal, July 1991


A Turbulence Closure for the Convective Boundary Layer Based on a Two-Scale Mass-Flux Approach
journal, September 2002


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
  • DOI: 10.1007/s10546-008-9287-9

Quadrant Analysis in Turbulence Research: History and Evolution
journal, January 2016


The ejection-sweep cycle over bare and forested gentle hills: a laboratory experiment
journal, November 2006


Statistical characteristics of wall turbulence with a passive scalar
journal, November 1988


Two phenomenological constants explain similarity laws in stably stratified turbulence
journal, February 2014


Development of a turbulence closure model for geophysical fluid problems
journal, January 1982


Conditional statistics of the Reynolds stress in the under-ice boundary layer
journal, January 2004


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
  • DOI: 10.1029/97JD00777

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
  • DOI: 10.1023/A:1000293516830

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
  • DOI: 10.1063/1.4821997

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


A structural turbulence model for triple products of velocity and scalar
journal, June 1990


An Analysis of Closures for Pressure-Scalar Covariances in the Convective Boundary Layer
journal, November 1986


Local Versus Nonlocal Boundary-Layer Diffusion in a Global Climate Model
journal, October 1993


Estimating Co2 Source/Sink Distributions Within A Rice Canopy Using Higher-Order Closure Model
journal, January 2001


A Hierarchy of Turbulence Closure Models for Planetary Boundary Layers
journal, October 1974


Statistische Theorie nichthomogener Turbulenz
journal, March 1951


Turbulent transport efficiency and the ejection-sweep motion for momentum and heat on sloping terrain covered with vineyards
journal, September 2012


Momentum Transfer and Turbulent Kinetic Energy Budgets within a Dense Model Canopy
journal, June 2004


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
  • DOI: 10.1063/1.2992192

    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
    • DOI: 10.1007/s13143-019-00155-4

    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
    • DOI: 10.1017/jfm.2018.693

    Large Eddies Regulate Turbulent Flux Gradients in Coupled Stable Boundary Layers
    journal, June 2019

    • Lan, Changxing; Liu, Heping; Katul, Gabriel G.
    • Geophysical Research Letters, Vol. 46, Issue 11
    • DOI: 10.1029/2019gl082228

    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
    • DOI: 10.1029/2019jc015334

    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
    • DOI: 10.1088/1748-9326/ab082d