Parameterizing microphysical effects on variances and covariances of moisture and heat content using a multivariate probability density function: a study with CLUBB (tag MVCS)
Abstract
Abstract. Microphysical processes, such as the formation, growth, and evaporation of precipitation, interact with variability and covariances (e.g., fluxes) in moisture and heat content. For instance, evaporation of rain may produce cold pools, which in turn may trigger fresh convection and precipitation. These effects are usually omitted or else crudely parameterized at subgrid scales in weather and climate models.A more formal approach is pursued here, based on predictive, horizontally averaged equations for the variances, covariances, and fluxes of moisture and heat content. These higher-order moment equations contain microphysical source terms. The microphysics terms can be integrated analytically, given a suitably simple warm-rain microphysics scheme and an approximate assumption about the multivariate distribution of cloud-related and precipitation-related variables. Performing the integrations provides exact expressions within an idealized context.A large-eddy simulation (LES) of a shallow precipitating cumulus case is performed here, and it indicates that the microphysical effects on (co)variances and fluxes can be large. In some budgets and altitude ranges, they are dominant terms. The analytic expressions for the integrals are implemented in a single-column, higher-order closure model. Interactive single-column simulations agree qualitatively with the LES. The analytic integrations form a parameterization of microphysical effects in their own right, and theymore »
- Authors:
- Publication Date:
- Research Org.:
- Univ. of Wisconsin, Milwaukee, WI (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Biological and Environmental Research (BER); National Science Foundation (NSF)
- OSTI Identifier:
- 1333515
- Alternate Identifier(s):
- OSTI ID: 1426175
- Grant/Contract Number:
- SC0008323; AGS-0968640
- Resource Type:
- Published Article
- Journal Name:
- Geoscientific Model Development (Online)
- Additional Journal Information:
- Journal Name: Geoscientific Model Development (Online) Journal Volume: 9 Journal Issue: 11; Journal ID: ISSN 1991-9603
- Publisher:
- Copernicus Publications, EGU
- Country of Publication:
- Germany
- Language:
- English
- Subject:
- 54 ENVIRONMENTAL SCIENCES
Citation Formats
Griffin, Brian M., and Larson, Vincent E. Parameterizing microphysical effects on variances and covariances of moisture and heat content using a multivariate probability density function: a study with CLUBB (tag MVCS). Germany: N. p., 2016.
Web. doi:10.5194/gmd-9-4273-2016.
Griffin, Brian M., & Larson, Vincent E. Parameterizing microphysical effects on variances and covariances of moisture and heat content using a multivariate probability density function: a study with CLUBB (tag MVCS). Germany. https://doi.org/10.5194/gmd-9-4273-2016
Griffin, Brian M., and Larson, Vincent E. Fri .
"Parameterizing microphysical effects on variances and covariances of moisture and heat content using a multivariate probability density function: a study with CLUBB (tag MVCS)". Germany. https://doi.org/10.5194/gmd-9-4273-2016.
@article{osti_1333515,
title = {Parameterizing microphysical effects on variances and covariances of moisture and heat content using a multivariate probability density function: a study with CLUBB (tag MVCS)},
author = {Griffin, Brian M. and Larson, Vincent E.},
abstractNote = {Abstract. Microphysical processes, such as the formation, growth, and evaporation of precipitation, interact with variability and covariances (e.g., fluxes) in moisture and heat content. For instance, evaporation of rain may produce cold pools, which in turn may trigger fresh convection and precipitation. These effects are usually omitted or else crudely parameterized at subgrid scales in weather and climate models.A more formal approach is pursued here, based on predictive, horizontally averaged equations for the variances, covariances, and fluxes of moisture and heat content. These higher-order moment equations contain microphysical source terms. The microphysics terms can be integrated analytically, given a suitably simple warm-rain microphysics scheme and an approximate assumption about the multivariate distribution of cloud-related and precipitation-related variables. Performing the integrations provides exact expressions within an idealized context.A large-eddy simulation (LES) of a shallow precipitating cumulus case is performed here, and it indicates that the microphysical effects on (co)variances and fluxes can be large. In some budgets and altitude ranges, they are dominant terms. The analytic expressions for the integrals are implemented in a single-column, higher-order closure model. Interactive single-column simulations agree qualitatively with the LES. The analytic integrations form a parameterization of microphysical effects in their own right, and they also serve as benchmark solutions that can be compared to non-analytic integration methods.},
doi = {10.5194/gmd-9-4273-2016},
journal = {Geoscientific Model Development (Online)},
number = 11,
volume = 9,
place = {Germany},
year = {Fri Nov 25 00:00:00 EST 2016},
month = {Fri Nov 25 00:00:00 EST 2016}
}
https://doi.org/10.5194/gmd-9-4273-2016
Web of Science
Works referenced in this record:
Cloud Resolving Modeling of the ARM Summer 1997 IOP: Model Formulation, Results, Uncertainties, and Sensitivities
journal, February 2003
- Khairoutdinov, Marat F.; Randall, David A.
- Journal of the Atmospheric Sciences, Vol. 60, Issue 4
Modeling the 24-Hour Evolution of the Mean and Turbulent Structures of the Planetary Boundary Layer
journal, October 1978
- André, J. C.; De Moor, G.; Lacarrère, P.
- Journal of the Atmospheric Sciences, Vol. 35, Issue 10
Large-Eddy Simulations of a Drizzling, Stratocumulus-Topped Marine Boundary Layer
journal, March 2009
- Ackerman, Andrew S.; vanZanten, Margreet C.; Stevens, Bjorn
- Monthly Weather Review, Vol. 137, Issue 3
High-Resolution Simulation of Shallow-to-Deep Convection Transition over Land
journal, December 2006
- Khairoutdinov, Marat; Randall, David
- Journal of the Atmospheric Sciences, Vol. 63, Issue 12
Analytic upscaling of a local microphysics scheme. Part I: Derivation
journal, June 2012
- Larson, Vincent E.; Griffin, Brian M.
- Quarterly Journal of the Royal Meteorological Society, Vol. 139, Issue 670
Analytic upscaling of a local microphysics scheme. Part II: Simulations
journal, June 2012
- Griffin, Brian M.; Larson, Vincent E.
- Quarterly Journal of the Royal Meteorological Society, Vol. 139, Issue 670
A hybrid multivariate Normal and lognormal distribution for data assimilation
journal, January 2006
- Fletcher, Steven J.; Zupanski, Milija
- Atmospheric Science Letters, Vol. 7, Issue 2
Controls on precipitation and cloudiness in simulations of trade-wind cumulus as observed during RICO: CONTROLS ON PRECIPITATION … IN TRADE-WIND CUMULUS
journal, February 2011
- vanZanten, Margreet C.; Stevens, Bjorn; Nuijens, Louise
- Journal of Advances in Modeling Earth Systems, Vol. 3, Issue 2
A new statistically based autoconversion rate parameterization for use in large-scale models
journal, January 2002
- Zhang, Junhua
- Journal of Geophysical Research, Vol. 107, Issue D24
Sensitivity of moist convection to environmental humidity
journal, October 2004
- Derbyshire, S. H.; Beau, I.; Bechtold, P.
- Quarterly Journal of the Royal Meteorological Society, Vol. 130, Issue 604
A PDF-Based Microphysics Parameterization for Simulation of Drizzling Boundary Layer Clouds
journal, August 2009
- Cheng, Anning; Xu, Kuan-Man
- Journal of the Atmospheric Sciences, Vol. 66, Issue 8
A new subgrid-scale representation of hydrometeor fields using a multivariate PDF
journal, January 2016
- Griffin, Brian M.; Larson, Vincent E.
- Geoscientific Model Development, Vol. 9, Issue 6
Role of surface heat fluxes underneath cold pools
journal, January 2016
- Gentine, Pierre; Garelli, Alix; Park, Seung‐Bu
- Geophysical Research Letters, Vol. 43, Issue 2
The Gaussian Cloud Model Relations
journal, February 1977
- Mellor, George L.
- Journal of the Atmospheric Sciences, Vol. 34, Issue 2
On Trade Wind Cumulus Cold Pools
journal, January 2012
- Zuidema, Paquita; Li, Zhujun; Hill, Reginald J.
- Journal of the Atmospheric Sciences, Vol. 69, Issue 1
Aerosol Effects on Clouds, Precipitation, and the Organization of Shallow Cumulus Convection
journal, February 2008
- Xue, Huiwen; Feingold, Graham; Stevens, Bjorn
- Journal of the Atmospheric Sciences, Vol. 65, Issue 2
Small-Scale and Mesoscale Variability in Cloudy Boundary Layers: Joint Probability Density Functions
journal, December 2002
- Larson, Vincent E.; Golaz, Jean-Christophe; Cotton, William R.
- Journal of the Atmospheric Sciences, Vol. 59, Issue 24
Parameterizing Convective Organization to Escape the Entrainment Dilemma: PARAMETERIZING CONVECTIVE ORGANIZATION
journal, February 2011
- Mapes, Brian; Neale, Richard
- Journal of Advances in Modeling Earth Systems, Vol. 3, Issue 2
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
A Cumulus Cloud Microphysics Parameterization for Cloud-Resolving Models
journal, May 2013
- Kogan, Yefim
- Journal of the Atmospheric Sciences, Vol. 70, Issue 5
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
The multidimensional positive definite advection transport algorithm: nonoscillatory option
journal, February 1990
- Smolarkiewicz, Piotr K.; Grabowski, Wojciech W.
- Journal of Computational Physics, Vol. 86, Issue 2
Influence of the Subcloud Layer on the Development of a Deep Convective Ensemble
journal, September 2012
- Böing, Steven J.; Jonker, Harm J. J.; Siebesma, A. Pier
- Journal of the Atmospheric Sciences, Vol. 69, Issue 9
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
The Subgrid Importance Latin Hypercube Sampler (SILHS): a multivariate subcolumn generator
journal, January 2013
- Larson, V. E.; Schanen, D. P.
- Geoscientific Model Development, Vol. 6, Issue 5
A New Cloud Physics Parameterization in a Large-Eddy Simulation Model of Marine Stratocumulus
journal, January 2000
- Khairoutdinov, Marat; Kogan, Yefim
- Monthly Weather Review, Vol. 128, Issue 1
Control of deep convection by sub-cloud lifting processes: the ALP closure in the LMDZ5B general circulation model
journal, September 2012
- Rio, Catherine; Grandpeix, Jean-Yves; Hourdin, Frédéric
- Climate Dynamics, Vol. 40, Issue 9-10
Rain in Shallow Cumulus Over the Ocean: The RICO Campaign
journal, December 2007
- Rauber, Robert M.; Stevens, Bjorn; Ochs, Harry T.
- Bulletin of the American Meteorological Society, Vol. 88, Issue 12
Supplying Local Microphysics Parameterizations with Information about Subgrid Variability: Latin Hypercube Sampling
journal, November 2005
- Larson, Vincent E.; Golaz, Jean-Christophe; Jiang, Hongli
- Journal of the Atmospheric Sciences, Vol. 62, Issue 11
The Formation of Wider and Deeper Clouds as a Result of Cold-Pool Dynamics
journal, August 2014
- Schlemmer, Linda; Hohenegger, Cathy
- Journal of the Atmospheric Sciences, Vol. 71, Issue 8
A single-column model intercomparison of a heavily drizzling stratocumulus-topped boundary layer
journal, January 2007
- Wyant, Matthew C.; Bretherton, Christopher S.; Chlond, Andreas
- Journal of Geophysical Research, Vol. 112, Issue D24
Parameterizing deep convection using the assumed probability density function method
journal, January 2015
- Storer, R. L.; Griffin, B. M.; Höft, J.
- Geoscientific Model Development, Vol. 8, Issue 1
A Mass-Flux Scheme View of a High-Resolution Simulation of a Transition from Shallow to Deep Cumulus Convection
journal, July 2006
- Kuang, Zhiming; Bretherton, Christopher S.
- Journal of the Atmospheric Sciences, Vol. 63, Issue 7
Similarity of Deep Continental Cumulus Convection as Revealed by a Three-Dimensional Cloud-Resolving Model
journal, September 2002
- Khairoutdinov, Marat F.; Randall, David A.
- Journal of the Atmospheric Sciences, Vol. 59, Issue 17
Spatial variability of liquid cloud and rain: observations and microphysical effects: Cloud and Rain Variability
journal, April 2013
- Boutle, I. A.; Abel, S. J.; Hill, P. G.
- Quarterly Journal of the Royal Meteorological Society, Vol. 140, Issue 679