A new subgrid-scale representation of hydrometeor fields using a multivariate PDF
Abstract
The subgrid-scale representation of hydrometeor fields is important for calculating microphysical process rates. In order to represent subgrid-scale variability, the Cloud Layers Unified By Binormals (CLUBB) parameterization uses a multivariate probability density function (PDF). In addition to vertical velocity, temperature, and moisture fields, the PDF includes hydrometeor fields. Previously, hydrometeor fields were assumed to follow a multivariate single lognormal distribution. Now, in order to better represent the distribution of hydrometeors, two new multivariate PDFs are formulated and introduced.The new PDFs represent hydrometeors using either a delta-lognormal or a delta-double-lognormal shape. The two new PDF distributions, plus the previous single lognormal shape, are compared to histograms of data taken from large-eddy simulations (LESs) of a precipitating cumulus case, a drizzling stratocumulus case, and a deep convective case. In conclusion, the warm microphysical process rates produced by the different hydrometeor PDFs are compared to the same process rates produced by the LES.
- Publication Date:
- Research Org.:
- Univ. of Wisconsin, Milwaukee, WI (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Biological and Environmental Research (BER)
- OSTI Identifier:
- 1255458
- Alternate Identifier(s):
- OSTI ID: 1311614
- Grant/Contract Number:
- SC0008323
- Resource Type:
- Published Article
- Journal Name:
- Geoscientific Model Development (Online)
- Additional Journal Information:
- Journal Name: Geoscientific Model Development (Online) Journal Volume: 9 Journal Issue: 6; Journal ID: ISSN 1991-9603
- Publisher:
- Copernicus Publications, EGU
- Country of Publication:
- Germany
- Language:
- English
- Subject:
- 97 MATHEMATICS AND COMPUTING
Citation Formats
Griffin, Brian M., and Larson, Vincent E. A new subgrid-scale representation of hydrometeor fields using a multivariate PDF. Germany: N. p., 2016.
Web. doi:10.5194/gmd-9-2031-2016.
Griffin, Brian M., & Larson, Vincent E. A new subgrid-scale representation of hydrometeor fields using a multivariate PDF. Germany. https://doi.org/10.5194/gmd-9-2031-2016
Griffin, Brian M., and Larson, Vincent E. Fri .
"A new subgrid-scale representation of hydrometeor fields using a multivariate PDF". Germany. https://doi.org/10.5194/gmd-9-2031-2016.
@article{osti_1255458,
title = {A new subgrid-scale representation of hydrometeor fields using a multivariate PDF},
author = {Griffin, Brian M. and Larson, Vincent E.},
abstractNote = {The subgrid-scale representation of hydrometeor fields is important for calculating microphysical process rates. In order to represent subgrid-scale variability, the Cloud Layers Unified By Binormals (CLUBB) parameterization uses a multivariate probability density function (PDF). In addition to vertical velocity, temperature, and moisture fields, the PDF includes hydrometeor fields. Previously, hydrometeor fields were assumed to follow a multivariate single lognormal distribution. Now, in order to better represent the distribution of hydrometeors, two new multivariate PDFs are formulated and introduced.The new PDFs represent hydrometeors using either a delta-lognormal or a delta-double-lognormal shape. The two new PDF distributions, plus the previous single lognormal shape, are compared to histograms of data taken from large-eddy simulations (LESs) of a precipitating cumulus case, a drizzling stratocumulus case, and a deep convective case. In conclusion, the warm microphysical process rates produced by the different hydrometeor PDFs are compared to the same process rates produced by the LES.},
doi = {10.5194/gmd-9-2031-2016},
journal = {Geoscientific Model Development (Online)},
number = 6,
volume = 9,
place = {Germany},
year = {Fri Jun 03 00:00:00 EDT 2016},
month = {Fri Jun 03 00:00:00 EDT 2016}
}
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https://doi.org/10.5194/gmd-9-2031-2016
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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
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
Binormal Model of Ensemble Partial Cloudiness
journal, May 1993
- Lewellen, W. S.; Yoh, S.
- Journal of the Atmospheric Sciences, Vol. 50, Issue 9
CLUBB as a unified cloud parameterization: Opportunities and challenges
journal, June 2015
- Guo, H.; Golaz, J. ‐C.; Donner, L. J.
- Geophysical Research Letters, Vol. 42, Issue 11
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 PDF-Based Microphysics Parameterization for Shallow Cumulus Clouds
journal, March 2014
- Kogan, Yefim L.; Mechem, David B.
- Journal of the Atmospheric Sciences, Vol. 71, Issue 3
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
On the Distribution of the Two-Sample Cramer-von Mises Criterion
journal, September 1962
- Anderson, T. W.
- The Annals of Mathematical Statistics, Vol. 33, Issue 3
Stratocumulus-capped mixed layers derived from a three-dimensional model
journal, June 1980
- Deardorff, James W.
- Boundary-Layer Meteorology, Vol. 18, Issue 4
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
Improved Low-Cloud Simulation from the Community Atmosphere Model with an Advanced Third-Order Turbulence Closure
journal, July 2015
- Cheng, Anning; Xu, Kuan-Man
- Journal of Climate, Vol. 28, Issue 14
A flexible importance sampling method for integrating subgrid processes
journal, January 2016
- Raut, E. K.; Larson, V. E.
- Geoscientific Model Development, Vol. 9, Issue 1
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
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 PDF-Based Formulation of Microphysical Variability in Cumulus Congestus Clouds
journal, January 2016
- Kogan, Yefim L.; Mechem, David B.
- Journal of the Atmospheric Sciences, Vol. 73, Issue 1
The Gaussian Cloud Model Relations
journal, February 1977
- Mellor, George L.
- Journal of the Atmospheric Sciences, Vol. 34, Issue 2
Subgrid-Scale Condensation in Models of Nonprecipitating Clouds
journal, February 1977
- Sommeria, G.; Deardorff, J. W.
- Journal of the Atmospheric Sciences, Vol. 34, 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
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
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
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
Use of the Kolmogorov-Smirnov, Cramér-Von Mises and Related Statistics Without Extensive Tables
journal, January 1970
- Stephens, M. A.
- Journal of the Royal Statistical Society: Series B (Methodological), Vol. 32, Issue 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
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 refined statistical cloud closure using double-Gaussian probability density functions
journal, January 2013
- Naumann, A. K.; Seifert, A.; Mellado, J. 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
Assumed Probability Density Functions for Shallow and Deep Convection: ASSUMED PROBABILITY DENSITY FUNCTIONS FOR SHALLOW AND DEEP CONVECTION
journal, April 2010
- Bogenschutz, Peter A.; Krueger, Steven K.; Khairoutdinov, Marat
- Journal of Advances in Modeling Earth Systems, Vol. 2, Issue 4
Fitting and Analyzing LES Using Multiple Trivariate Gaussians
journal, March 2015
- Firl, Grant J.; Randall, David A.
- Journal of the Atmospheric Sciences, Vol. 72, Issue 3
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
A unified parameterization of clouds and turbulence using CLUBB and subcolumns in the Community Atmosphere Model
journal, January 2015
- Thayer-Calder, K.; Gettelman, A.; Craig, C.
- Geoscientific Model Development, Vol. 8, Issue 12
A Prognostic Parameterization for the Subgrid-Scale Variability of Water Vapor and Clouds in Large-Scale Models and Its Use to Diagnose Cloud Cover
journal, June 2002
- Tompkins, Adrian M.
- Journal of the Atmospheric Sciences, Vol. 59, Issue 12
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
Microphysical implications of cloud-precipitation covariance derived from satellite remote sensing: CLOUD-PRECIPITATION COVARIANCE
journal, June 2013
- Lebsock, Matthew; Morrison, Hugh; Gettelman, Andrew
- Journal of Geophysical Research: Atmospheres, Vol. 118, Issue 12
A cirrus cloud scheme for general circulation models
journal, July 2008
- Kärcher, B.; Burkhardt, U.
- Quarterly Journal of the Royal Meteorological Society, Vol. 134, Issue 635
A simplified PDF parameterization of subgrid-scale clouds and turbulence for cloud-resolving models: TURBULENCE SCHEME FOR CLOUD-RESOLVING MODELS
journal, April 2013
- Bogenschutz, Peter A.; Krueger, Steven K.
- Journal of Advances in Modeling Earth Systems, Vol. 5, Issue 2
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