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Title: Unified Entrainment and Detrainment Closures for Extended Eddy-Diffusivity Mass-Flux Schemes

Abstract

The extended Eddy Diffusivity Mass Flux (EDMF) scheme is used as a unied parameterization that simulates subgrid-scale dynamics across a range of regimes.This work presents unied entrainment and detrainment closures that allow this scheme to simulate the dry convective boundary layer, shallow convection and deep convection , while adjacent works present other necessary closures for this unied scheme and test its performance for stable, stratocumulus topped and convective boundary layers. Entrainment and detrainment are modeled as a combination of turbulent and dynamical processes. The turbulent component is taken as downgradient diffusion between subdomains. The dynamical component is based on a ratio of buoyancy and vertical velocity that ensures consistent treatment of the ratio of mass-flux at vanishing area fraction. Dynamical detrainment is controlled by the difference in relative humidity between subdomains when liquid water is present. These closures are rst evaluated with entrainment and detrainment diagnosed from Large Eddy Simulations where decaying tracers are used to identify the different subdomains and mass exchanges between them. When implemented in a single column model (SCM), these closures are tested in simulations of several observationally motivated cases of dry convective boundary layer, shallow convection and deep convection. Results show good agreement between themore » SCM and Large Eddy Simulations in key properties for climate models and profiles of first, second and third moments. The development of diurnal cycles and the onset of and precipitation (with simplified microphysics) are well predicted by the SCM.« less

Authors:
ORCiD logo [1]; ORCiD logo [1];  [2];  [1];  [3]; ORCiD logo [2]
  1. California Institute of Technology (CalTech), Pasadena, CA (United States). Dept. of Environmental Science and Engineering
  2. California Institute of Technology (CalTech), Pasadena, CA (United States). Dept. of Environmental Science and Engineering; California Institute of Technology (CalTech), Pasadena, CA (United States). Jet Propulsion Lab. (JPL)
  3. Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
Publication Date:
Research Org.:
Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
Sponsoring Org.:
USDOE; National Science Foundation (NSF); National Aeronautics and Space Administration (NASA)
OSTI Identifier:
1682241
Report Number(s):
PNNL-SA-152361
Journal ID: ISSN 1942-2466
Grant/Contract Number:  
AC05-76RL01830; AGS‐1835860; 80NM0018D0004
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Advances in Modeling Earth Systems
Additional Journal Information:
Journal Volume: 12; Journal Issue: 9; Journal ID: ISSN 1942-2466
Publisher:
American Geophysical Union (AGU)
Country of Publication:
United States
Language:
English
Subject:
54 ENVIRONMENTAL SCIENCES; unified parameterization; convective parameterization; eddy‐diffusivity mass‐flux parameterization; entrainment and detrainment; deep convection; climate modeling

Citation Formats

Cohen, Yair, Lopez‐Gomez, Ignacio, Jaruga, Anna, He, Jia, Kaul, Colleen M., and Schneider, Tapio. Unified Entrainment and Detrainment Closures for Extended Eddy-Diffusivity Mass-Flux Schemes. United States: N. p., 2020. Web. doi:10.1029/2020ms002162.
Cohen, Yair, Lopez‐Gomez, Ignacio, Jaruga, Anna, He, Jia, Kaul, Colleen M., & Schneider, Tapio. Unified Entrainment and Detrainment Closures for Extended Eddy-Diffusivity Mass-Flux Schemes. United States. https://doi.org/10.1029/2020ms002162
Cohen, Yair, Lopez‐Gomez, Ignacio, Jaruga, Anna, He, Jia, Kaul, Colleen M., and Schneider, Tapio. Tue . "Unified Entrainment and Detrainment Closures for Extended Eddy-Diffusivity Mass-Flux Schemes". United States. https://doi.org/10.1029/2020ms002162. https://www.osti.gov/servlets/purl/1682241.
@article{osti_1682241,
title = {Unified Entrainment and Detrainment Closures for Extended Eddy-Diffusivity Mass-Flux Schemes},
author = {Cohen, Yair and Lopez‐Gomez, Ignacio and Jaruga, Anna and He, Jia and Kaul, Colleen M. and Schneider, Tapio},
abstractNote = {The extended Eddy Diffusivity Mass Flux (EDMF) scheme is used as a unied parameterization that simulates subgrid-scale dynamics across a range of regimes.This work presents unied entrainment and detrainment closures that allow this scheme to simulate the dry convective boundary layer, shallow convection and deep convection , while adjacent works present other necessary closures for this unied scheme and test its performance for stable, stratocumulus topped and convective boundary layers. Entrainment and detrainment are modeled as a combination of turbulent and dynamical processes. The turbulent component is taken as downgradient diffusion between subdomains. The dynamical component is based on a ratio of buoyancy and vertical velocity that ensures consistent treatment of the ratio of mass-flux at vanishing area fraction. Dynamical detrainment is controlled by the difference in relative humidity between subdomains when liquid water is present. These closures are rst evaluated with entrainment and detrainment diagnosed from Large Eddy Simulations where decaying tracers are used to identify the different subdomains and mass exchanges between them. When implemented in a single column model (SCM), these closures are tested in simulations of several observationally motivated cases of dry convective boundary layer, shallow convection and deep convection. Results show good agreement between the SCM and Large Eddy Simulations in key properties for climate models and profiles of first, second and third moments. The development of diurnal cycles and the onset of and precipitation (with simplified microphysics) are well predicted by the SCM.},
doi = {10.1029/2020ms002162},
journal = {Journal of Advances in Modeling Earth Systems},
number = 9,
volume = 12,
place = {United States},
year = {Tue Aug 04 00:00:00 EDT 2020},
month = {Tue Aug 04 00:00:00 EDT 2020}
}

Journal Article:
Free Publicly Available Full Text
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Figures / Tables:

Table 1 Table 1: EDMF Scheme Variables

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Works referenced in this record:

Marine boundary layer clouds at the heart of tropical cloud feedback uncertainties in climate models
journal, January 2005


The Kain–Fritsch Convective Parameterization: An Update
journal, January 2004


A Theoretical Study of the Compensating Downward Motions Associated with Cumulus Clouds
journal, September 1967


Toward a Unified Parameterization of the Boundary Layer and Moist Convection. Part I: A New Type of Mass-Flux Model
journal, August 2001


A One-Dimensional Entraining/Detraining Plume Model and Its Application in Convective Parameterization
journal, December 1990


Evaluation of Parametric Assumptions for Shallow Cumulus Convection
journal, March 1995


A PDF-Based Model for Boundary Layer Clouds. Part I: Method and Model Description
journal, December 2002


A General Description of Entrainment in Buoyant Cloudy Plumes Including the Effects of Mixing-Induced Evaporation
journal, January 2019

  • Savre, Julien; Herzog, Michael
  • Journal of the Atmospheric Sciences, Vol. 76, Issue 2
  • DOI: 10.1175/JAS-D-17-0326.1

Using Machine Learning to Parameterize Moist Convection: Potential for Modeling of Climate, Climate Change, and Extreme Events
journal, October 2018

  • O'Gorman, Paul A.; Dwyer, John G.
  • Journal of Advances in Modeling Earth Systems, Vol. 10, Issue 10
  • DOI: 10.1029/2018MS001351

DYAMOND: the DYnamics of the Atmospheric general circulation Modeled On Non-hydrostatic Domains
journal, September 2019

  • Stevens, Bjorn; Satoh, Masaki; Auger, Ludovic
  • Progress in Earth and Planetary Science, Vol. 6, Issue 1
  • DOI: 10.1186/s40645-019-0304-z

Evaluating Emergent Constraints on Equilibrium Climate Sensitivity
journal, May 2018

  • Caldwell, Peter M.; Zelinka, Mark D.; Klein, Stephen A.
  • Journal of Climate, Vol. 31, Issue 10
  • DOI: 10.1175/JCLI-D-17-0631.1

Numerics and subgrid‐scale modeling in large eddy simulations of stratocumulus clouds
journal, May 2017

  • Pressel, Kyle G.; Mishra, Siddhartha; Schneider, Tapio
  • Journal of Advances in Modeling Earth Systems, Vol. 9, Issue 2
  • DOI: 10.1002/2016MS000778

The ‘too few, too bright’ tropical low-cloud problem in CMIP5 models: TOO FEW TOO BRIGHT LOW-CLOUDS
journal, November 2012

  • Nam, C.; Bony, S.; Dufresne, J. -L.
  • Geophysical Research Letters, Vol. 39, Issue 21
  • DOI: 10.1029/2012GL053421

Buoyancy‐driven entrainment in dry thermals
journal, November 2019

  • McKim, Brett; Jeevanjee, Nadir; Lecoanet, Daniel
  • Quarterly Journal of the Royal Meteorological Society, Vol. 146, Issue 726
  • DOI: 10.1002/qj.3683

On the Parameterization of Convective Downdrafts for Marine Stratocumulus Clouds
journal, April 2020


Thermodynamic Consistency of the Anelastic Approximation for a Moist Atmosphere
journal, August 2008


Measurements of the Atmospheric Mass, Energy, and Momentum Budgets Over a 500-Kilometer Square of Tropical Ocean
journal, January 1973


A Unified Convection Scheme (UNICON). Part II: Simulation
journal, November 2014


A Large Eddy Simulation Intercomparison Study of Shallow Cumulus Convection
journal, May 2003


Dependence of entrainment in shallow cumulus convection on vertical velocity and distance to cloud edge: ENTRAINMENT DEPENDENCE
journal, April 2016

  • Tian, Yang; Kuang, Zhiming
  • Geophysical Research Letters, Vol. 43, Issue 8
  • DOI: 10.1002/2016GL069005

Shallowness of tropical low clouds as a predictor of climate models’ response to warming
journal, October 2015


Possible climate transitions from breakup of stratocumulus decks under greenhouse warming
journal, February 2019


An Extended Eddy‐Diffusivity Mass‐Flux Scheme for Unified Representation of Subgrid‐Scale Turbulence and Convection
journal, March 2018

  • Tan, Zhihong; Kaul, Colleen M.; Pressel, Kyle G.
  • Journal of Advances in Modeling Earth Systems, Vol. 10, Issue 3
  • DOI: 10.1002/2017MS001162

Implementation of a Stochastic Eddy-Diffusivity/Mass-Flux Parameterization into the Navy Global Environmental Model
journal, December 2014

  • Sušelj, Kay; Hogan, Timothy F.; Teixeira, João
  • Weather and Forecasting, Vol. 29, Issue 6
  • DOI: 10.1175/WAF-D-14-00043.1

Deep learning to represent subgrid processes in climate models
journal, September 2018

  • Rasp, Stephan; Pritchard, Michael S.; Gentine, Pierre
  • Proceedings of the National Academy of Sciences, Vol. 115, Issue 39
  • DOI: 10.1073/pnas.1810286115

A Unified Model for Moist Convective Boundary Layers Based on a Stochastic Eddy-Diffusivity/Mass-Flux Parameterization
journal, July 2013

  • Sušelj, Kay; Teixeira, João; Chung, Daniel
  • Journal of the Atmospheric Sciences, Vol. 70, Issue 7
  • DOI: 10.1175/JAS-D-12-0106.1

A Combined Eddy-Diffusivity Mass-Flux Approach for the Convective Boundary Layer
journal, April 2007

  • Siebesma, A. Pier; Soares, Pedro M. M.; Teixeira, João
  • Journal of the Atmospheric Sciences, Vol. 64, Issue 4
  • DOI: 10.1175/JAS3888.1

On the Factors Controlling the Development of Shallow Convection in Eddy-Diffusivity/Mass-Flux Models
journal, February 2019

  • Suselj, Kay; Kurowski, Marcin J.; Teixeira, João
  • Journal of the Atmospheric Sciences, Vol. 76, Issue 2
  • DOI: 10.1175/JAS-D-18-0121.1

Using Probability Density Functions to Derive Consistent Closure Relationships among Higher-Order Moments
journal, April 2005

  • Larson, Vincent E.; Golaz, Jean-Christophe
  • Monthly Weather Review, Vol. 133, Issue 4
  • DOI: 10.1175/MWR2902.1

Long Short-Term Memory
journal, November 1997


Climate goals and computing the future of clouds
journal, January 2017

  • Schneider, Tapio; Teixeira, João; Bretherton, Christopher S.
  • Nature Climate Change, Vol. 7, Issue 1
  • DOI: 10.1038/nclimate3190

Momentum Transport in Shallow Cumulus Clouds and Its Parameterization by Higher‐Order Closure
journal, November 2019

  • Larson, Vincent E.; Domke, Steffen; Griffin, Brian M.
  • Journal of Advances in Modeling Earth Systems, Vol. 11, Issue 11
  • DOI: 10.1029/2019MS001743

A two‐fluid single‐column model of the dry, shear‐free, convective boundary layer
journal, March 2019

  • Thuburn, John; Efstathiou, Georgios A.; Beare, Robert J.
  • Quarterly Journal of the Royal Meteorological Society, Vol. 145, Issue 721
  • DOI: 10.1002/qj.3510

Detrainment in deep convection
journal, October 2012

  • Böing, S. J.; Siebesma, A. P.; Korpershoek, J. D.
  • Geophysical Research Letters, Vol. 39, Issue 20
  • DOI: 10.1029/2012GL053735

Stable Atmospheric Boundary Layers and Diurnal Cycles: Challenges for Weather and Climate Models
journal, November 2013

  • Holtslag, A. A. M.; Svensson, G.; Baas, P.
  • Bulletin of the American Meteorological Society, Vol. 94, Issue 11
  • DOI: 10.1175/BAMS-D-11-00187.1

A Multiparcel Model for Shallow Cumulus Convection
journal, May 2002


Optimization of the Eddy‐Diffusivity/Mass‐Flux Shallow Cumulus and Boundary‐Layer Parameterization Using Surrogate Models
journal, February 2019

  • Langhans, W.; Mueller, J.; Collins, W. D.
  • Journal of Advances in Modeling Earth Systems, Vol. 11, Issue 2
  • DOI: 10.1029/2018MS001449

Eddy Diffusivity/Mass Flux and Shallow Cumulus Boundary Layer: An Updraft PDF Multiple Mass Flux Scheme
journal, May 2012

  • Sušelj, Kay; Teixeira, João; Matheou, Georgios
  • Journal of the Atmospheric Sciences, Vol. 69, Issue 5
  • DOI: 10.1175/JAS-D-11-090.1

Improved Diurnal Cycle of Precipitation in E3SM With a Revised Convective Triggering Function
journal, July 2019

  • Xie, Shaocheng; Wang, Yi‐Chi; Lin, Wuyin
  • Journal of Advances in Modeling Earth Systems, Vol. 11, Issue 7
  • DOI: 10.1029/2019MS001702

The Dry-Entropy Budget of a Moist Atmosphere
journal, December 2008


PDF Parameterization of Boundary Layer Clouds in Models with Horizontal Grid Spacings from 2 to 16 km
journal, January 2012

  • Larson, Vincent E.; Schanen, David P.; Wang, Minghuai
  • Monthly Weather Review, Vol. 140, Issue 1
  • DOI: 10.1175/MWR-D-10-05059.1

The Stochastic Parcel Model: A deterministic parameterization of stochastically entraining convection
journal, January 2016

  • Romps, David M.
  • Journal of Advances in Modeling Earth Systems, Vol. 8, Issue 1
  • DOI: 10.1002/2015MS000537

Large-eddy simulation of the diurnal cycle of shallow cumulus convection over land
journal, April 2002

  • Brown, A. R.; Cederwall, R. T.; Chlond, A.
  • Quarterly Journal of the Royal Meteorological Society, Vol. 128, Issue 582
  • DOI: 10.1256/003590002320373210

A Unified Convection Scheme (UNICON). Part I: Formulation
journal, November 2014


The motion of buoyant elements in turbulent surroundings
journal, May 1963


Resolution dependence of deep convections in a global simulation from over 10-kilometer to sub-kilometer grid spacing
journal, June 2016

  • Kajikawa, Yoshiyuki; Miyamoto, Yoshiaki; Yoshida, Ryuji
  • Progress in Earth and Planetary Science, Vol. 3, Issue 1
  • DOI: 10.1186/s40645-016-0094-5

A Unified Eddy-Diffusivity/Mass-Flux Approach for Modeling Atmospheric Convection
journal, August 2019

  • Suselj, Kay; Kurowski, Marcin J.; Teixeira, Joao
  • Journal of the Atmospheric Sciences, Vol. 76, Issue 8
  • DOI: 10.1175/JAS-D-18-0239.1

Estimation of entrainment rate in simple models of convective clouds
journal, January 2001

  • Gregory, David
  • Quarterly Journal of the Royal Meteorological Society, Vol. 127, Issue 571
  • DOI: 10.1002/qj.49712757104

A Stochastic Mixing Model for Nonprecipitating Cumulus Clouds
journal, November 1986


Stratocumulus Clouds in Southeastern Pacific Simulated by Eight CMIP5–CFMIP Global Climate Models
journal, April 2014


Analytical expressions for entrainment and detrainment in cumulus convection
journal, January 2010

  • de Rooy, Wim C.; Pier Siebesma, A.
  • Quarterly Journal of the Royal Meteorological Society
  • DOI: 10.1002/qj.640

Diagnosing Coherent Structures in the Convective Boundary Layer by Optimizing Their Vertical Turbulent Scalar Transfer
journal, September 2019

  • Efstathiou, Georgios A.; Thuburn, John; Beare, Robert J.
  • Boundary-Layer Meteorology, Vol. 174, Issue 1
  • DOI: 10.1007/s10546-019-00480-1

An eddy-diffusivity/mass-flux parametrization for dry and shallow cumulus convection
journal, October 2004

  • Soares, P. M. M.; Miranda, P. M. A.; Siebesma, A. P.
  • Quarterly Journal of the Royal Meteorological Society, Vol. 130, Issue 604
  • DOI: 10.1256/qj.03.223

Practice and philosophy of climate model tuning across six US modeling centers
journal, January 2017

  • Schmidt, Gavin A.; Bader, David; Donner, Leo J.
  • Geoscientific Model Development, Vol. 10, Issue 9
  • DOI: 10.5194/gmd-10-3207-2017

Mathematical and Physical Constraints on Large-Eddy Simulations
journal, October 1997

  • Fureby, C.; Tabor, G.
  • Theoretical and Computational Fluid Dynamics, Vol. 9, Issue 2
  • DOI: 10.1007/s001620050034

Cloud feedback mechanisms and their representation in global climate models: Cloud feedback mechanisms and their representation in GCMs
journal, May 2017

  • Ceppi, Paulo; Brient, Florent; Zelinka, Mark D.
  • Wiley Interdisciplinary Reviews: Climate Change, Vol. 8, Issue 4
  • DOI: 10.1002/wcc.465

TKE-Based Moist Eddy-Diffusivity Mass-Flux (EDMF) Parameterization for Vertical Turbulent Mixing
journal, July 2019


Large-eddy simulation in an anelastic framework with closed water and entropy balances: LARGE-EDDY SIMULATION FRAMEWORK
journal, September 2015

  • Pressel, Kyle G.; Kaul, Colleen M.; Schneider, Tapio
  • Journal of Advances in Modeling Earth Systems, Vol. 7, Issue 3
  • DOI: 10.1002/2015MS000496

Tropical and Subtropical Cloud Transitions in Weather and Climate Prediction Models: The GCSS/WGNE Pacific Cross-Section Intercomparison (GPCI)
journal, October 2011


Daytime convective development over land: A model intercomparison based on LBA observations
journal, January 2006

  • Grabowski, W. W.; Bechtold, P.; Cheng, A.
  • Quarterly Journal of the Royal Meteorological Society, Vol. 132, Issue 615
  • DOI: 10.1256/qj.04.147

Representing Equilibrium and Nonequilibrium Convection in Large-Scale Models
journal, February 2014

  • Bechtold, Peter; Semane, Noureddine; Lopez, Philippe
  • Journal of the Atmospheric Sciences, Vol. 71, Issue 2
  • DOI: 10.1175/JAS-D-13-0163.1

Resolved Versus Parametrized Boundary-Layer Plumes. Part I: A Parametrization-Oriented Conditional Sampling in Large-Eddy Simulations
journal, December 2009


Entrainment and detrainment in cumulus convection: an overview
journal, June 2012

  • de Rooy, Wim C.; Bechtold, Peter; Fröhlich, Kristina
  • Quarterly Journal of the Royal Meteorological Society, Vol. 139, Issue 670
  • DOI: 10.1002/qj.1959

Simulating the diurnal cycle of rainfall in global climate models: resolution versus parameterization
journal, June 2011


Ongoing Breakthroughs in Convective Parameterization
journal, April 2019

  • Rio, Catherine; Del Genio, Anthony D.; Hourdin, Frédéric
  • Current Climate Change Reports, Vol. 5, Issue 2
  • DOI: 10.1007/s40641-019-00127-w

Role of Convective Entrainment in Spatial Distributions of and Temporal Variations in Precipitation over Tropical Oceans
journal, December 2014

  • Hirota, Nagio; Takayabu, Yukari N.; Watanabe, Masahiro
  • Journal of Climate, Vol. 27, Issue 23
  • DOI: 10.1175/JCLI-D-13-00701.1

Constraints on Climate Sensitivity from Space-Based Measurements of Low-Cloud Reflection
journal, August 2016


A Framework for Convection and Boundary Layer Parameterization Derived from Conditional Filtering
journal, March 2018

  • Thuburn, John; Weller, Hilary; Vallis, Geoffrey K.
  • Journal of the Atmospheric Sciences, Vol. 75, Issue 3
  • DOI: 10.1175/JAS-D-17-0130.1

Constraining the models' response of tropical clouds to SST forcings using CALIPSO observations
conference, October 2018

  • Cesana, Gregory; Del Genio, Tony; Ackerman, Andrew
  • Remote Sensing and Modeling of the Atmosphere, Oceans, and Interactions VII
  • DOI: 10.1117/12.2324800

The Art and Science of Climate Model Tuning
journal, March 2017

  • Hourdin, Frédéric; Mauritsen, Thorsten; Gettelman, Andrew
  • Bulletin of the American Meteorological Society, Vol. 98, Issue 3
  • DOI: 10.1175/BAMS-D-15-00135.1

Advances in simulating atmospheric variability with the ECMWF model: From synoptic to decadal time-scales
journal, July 2008

  • Bechtold, Peter; Köhler, Martin; Jung, Thomas
  • Quarterly Journal of the Royal Meteorological Society, Vol. 134, Issue 634
  • DOI: 10.1002/qj.289

Numerical solution of the conditionally averaged equations for representing net mass flux due to convection
journal, March 2019

  • Weller, Hilary; McIntyre, William A.
  • Quarterly Journal of the Royal Meteorological Society, Vol. 145, Issue 721
  • DOI: 10.1002/qj.3490

Formulation structure of the mass-flux convection parameterization
journal, September 2014


On the Controlling Influences of Eddy Diffusion on Thermal Convection
journal, May 1962


A Generalized Mixing Length Closure for Eddy‐Diffusivity Mass‐Flux Schemes of Turbulence and Convection
journal, October 2020

  • Lopez‐Gomez, Ignacio; Cohen, Yair; He, Jia
  • Journal of Advances in Modeling Earth Systems, Vol. 12, Issue 11
  • DOI: 10.1029/2020MS002161