Parameterization of Cloud Microphysics Based on Full Integral Moments

AbstractThis paper describes a microphysics parameterization based on integral moments of the full drop size distributions (DSDs) as opposed to a partial moments approach (sometimes referred to as Kessler-type parameterization) based on the moments integrated separately over the cloud and rain drop portion of the drop spectrum. This approach does not assume a prescribed form of a DSD but employs as model variables full moments that have clear physical meaning: drop concentration and surface area, water content, precipitation flux, and radar reflectivity. These variables can be directly measured and assimilated into the model forecast cycle without intermediate retrievals. The approach avoids division of DSDs into cloud and rain drops. This eliminates the problem of defining the threshold between these two categories and subdivision of the physical coagulation process into artificial processes of autoconversion, accretion, and self-collection. The development and testing of the parameterization was made us...

[1]  H. D. Orville,et al.  Bulk Parameterization of the Snow Field in a Cloud Model , 1983 .

[2]  K. D. Beheng,et al.  A double-moment parameterization for simulating autoconversion, accretion and selfcollection , 2001 .

[3]  Yangang Liu,et al.  Parameterization of the Autoconversion Process. Part I: Analytical Formulation of the Kessler-Type Parameterizations , 2004 .

[4]  P. Daum,et al.  An analytical expression for predicting the critical radius in the autoconversion parameterization , 2004 .

[5]  M. Yau,et al.  A Multimoment Bulk Microphysics Parameterization. Part I: Analysis of the Role of the Spectral Shape Parameter , 2005 .

[6]  M. Khairoutdinov,et al.  A Large Eddy Simulation Model with Explicit Microphysics: Validation against Aircraft Observations of a Stratocumulus-Topped Boundary Layer , 1999 .

[7]  Stéphane Laroche,et al.  A Microphysical Bulk Formulation Based on Scaling Normalization of the Particle Size Distribution. Part I: Description , 2005 .

[8]  Terry L. Clark,et al.  A Study in Cloud Phase Parameterization Using the Gamma Distribution , 1974 .

[9]  W. T. Scott,et al.  Analytic Studies of Cloud Droplet Coalescence I , 1968 .

[10]  S. Twomey,et al.  The nuclei of natural cloud formation part II: The supersaturation in natural clouds and the variation of cloud droplet concentration , 1959 .

[11]  Yefim L. Kogan,et al.  The simulation of a convective cloud in a 3-D model with explicit microphysics , 1991 .

[12]  C. Bretherton,et al.  The Atlantic Stratocumulus Transition Experiment - ASTEX , 1995 .

[13]  K. D. Beheng A parameterization of warm cloud microphysical conversion processes , 1994 .

[14]  Jean-Pierre Pinty,et al.  A comprehensive two‐moment warm microphysical bulk scheme. I: Description and tests , 2000 .

[15]  S. Katz,et al.  Some problems in particle technology: A statistical mechanical formulation , 1964 .

[16]  B. Ferrier,et al.  A Double-Moment Multiple-Phase Four-Class Bulk Ice Scheme. Part I: Description , 1994 .

[17]  Edwin X. Berry,et al.  An Analysis of Cloud Drop Growth by Collection Part II. Single Initial Distributions , 1974 .

[18]  M. Khairoutdinov,et al.  A New Cloud Physics Parameterization in a Large-Eddy Simulation Model of Marine Stratocumulus , 2000 .

[19]  J. Curry,et al.  A New Double-Moment Microphysics Parameterization for Application in Cloud and Climate Models. Part I: Description , 2005 .

[20]  Robert Wood,et al.  Drizzle in Stratiform Boundary Layer Clouds. Part II: Microphysical Aspects. , 2005 .

[21]  W. Cotton,et al.  Autoconversion rate bias in stratiform boundary layer cloud parameterizations , 2002 .

[22]  J. Marshall,et al.  THE DISTRIBUTION OF RAINDROPS WITH SIZE , 1948 .

[23]  R. Wood,et al.  Parameterization of the Autoconversion Process. Part II: Generalization of Sundqvist-Type Parameterizations , 2006 .

[24]  D. Lilly,et al.  Modeling of Stratocumulus Cloud Layers in a Large Eddy Simulation Model with Explicit Microphysics. , 1995 .

[25]  E. Kessler On the distribution and continuity of water substance in atmospheric circulations , 1969 .

[26]  M. Yau,et al.  A Multimoment Bulk Microphysics Parameterization. Part II: A Proposed Three-Moment Closure and Scheme Description , 2005 .

[27]  Joanne Simpson,et al.  A Double-Moment Multiple-Phase Four-Class Bulk Ice Scheme. Part II: Simulations of Convective Storms in Different Large-Scale Environments and Comparisons with other Bulk Parameterizations , 1995 .

[28]  William R. Cotton,et al.  A Numerical Investigation of Several Factors Contributing to the Observed Variable Intensity of Deep Convection over South Florida , 1980 .

[29]  T. Clark Use of Log-Normal Distributions for Numerical Calculations of Condensation and Collection , 1976 .

[30]  John E. Dennis,et al.  Numerical methods for unconstrained optimization and nonlinear equations , 1983, Prentice Hall series in computational mathematics.