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Comments on “Parameterization of the Autoconversion Process. Part I: Analytical Formulation of the Kessler-Type Parameterizations”

Comments on “Parameterization of the Autoconversion Process. Part I: Analytical Formulation of... In a recent paper, Liu and Daum (2004 , hereafter LD04 ) derive analytical expressions for the rate of autoconversion of cloud droplets to embryonic raindrops for a range of assumptions about the dependence of the collection kernel upon cloud droplet size. Their analytical derivations are used to provide a physical formalism for some of the autoconversion parameterizations that are widely used in a broad range of numerical models (e.g., Kessler 1969 ; Tripoli and Cotton 1980 ; Baker 1993 ; Boucher et al. 1995 ). The basis for LD04 is the integral [their Eq. (3)], here written in mass terms where P is defined as the autoconversion rate in LD04 , x and x ′ are the masses of two coalescing droplets, n ( x ) is the number of droplets in the mass range x to x + dx , and K ( x , x ′) is the collection kernel for the coalescing droplets. Most bulk precipitation schemes used in numerical models partition liquid water into separate cloud and rain classes using a separation particle radius r 0 , or equivalently mass x 0 = (4 πρ w /3) r 3 0 , to distinguish http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of the Atmospheric Sciences American Meteorological Society

Comments on “Parameterization of the Autoconversion Process. Part I: Analytical Formulation of the Kessler-Type Parameterizations”

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Publisher
American Meteorological Society
Copyright
Copyright © 2004 American Meteorological Society
ISSN
1520-0469
DOI
10.1175/JAS3524.1
Publisher site
See Article on Publisher Site

Abstract

In a recent paper, Liu and Daum (2004 , hereafter LD04 ) derive analytical expressions for the rate of autoconversion of cloud droplets to embryonic raindrops for a range of assumptions about the dependence of the collection kernel upon cloud droplet size. Their analytical derivations are used to provide a physical formalism for some of the autoconversion parameterizations that are widely used in a broad range of numerical models (e.g., Kessler 1969 ; Tripoli and Cotton 1980 ; Baker 1993 ; Boucher et al. 1995 ). The basis for LD04 is the integral [their Eq. (3)], here written in mass terms where P is defined as the autoconversion rate in LD04 , x and x ′ are the masses of two coalescing droplets, n ( x ) is the number of droplets in the mass range x to x + dx , and K ( x , x ′) is the collection kernel for the coalescing droplets. Most bulk precipitation schemes used in numerical models partition liquid water into separate cloud and rain classes using a separation particle radius r 0 , or equivalently mass x 0 = (4 πρ w /3) r 3 0 , to distinguish

Journal

Journal of the Atmospheric Sciences – American Meteorological Society

Published: Oct 7, 2004

References

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    Austin
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    Baker
  • A parameterization of warm cloud microphysical conversion processes.
    Beheng
  • A general formulation of collection rates of cloud and raindrops using the kinetic equation and comparison with parameterizations.
    Beheng
  • Precipitation and radiation modeling in a general circulation model: Introduction of cloud microphysical processes.
    Boucher
  • A detailed microphysical model within a two-dimensional dynamic framework: Model description and preliminary results.
    Hall