A microphysical bulk formulation based on scaling normalization of the particle size distribution. Part I: Description

Journal of the Atmospheric Sciences

Volumn 62, Issue 12, 2005, Pages 4206-4221

  Szyrmer, Wanda ^a   Laroche, Stéphane ^a,b   Zawadzki, Isztar ^a  

^a MCGILL UNIVERSITY   (Canada)

^b ENVIRONMENT CANADA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; METEOROLOGICAL RADAR; OPTIMIZATION; PARTICLE SIZE ANALYSIS; REMOTE SENSING; WEATHER FORECASTING;

MICROPHYSICAL BULK FORMULATION; SCALING NORMALIZATION;

METEOROLOGY;

ALGORITHMS; COMPUTER SIMULATION; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; METEOROLOGICAL RADAR; METEOROLOGY; OPTIMIZATION; PARTICLE SIZE ANALYSIS; REMOTE SENSING; WEATHER FORECASTING;

CLOUD MICROPHYSICS; NUMERICAL MODEL; PARAMETERIZATION; PARTICLE SIZE; SIZE DISTRIBUTION;

EID: 31144472662     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/JAS3620.1     Document Type: Article

References (28)

1. Beard, K. V., and H. R. Pruppacher, 1971: A wind tunnel investigation of the rate of evaporation of small water drops falling at terminal velocity in air. J. Atmos. Sci., 28, 1455-1464.
2. Best, A. C., 1950: Empirical formulae for the terminal velocity of water drops falling through the atmosphere. Quart. J. Roy. Meteor. Soc., 76, 302-311.
3. Clark, T. L., 1974: A study of cloud phase parameterization using the gamma distribution. J. Atmos. Sci., 31, 142-155.
4. Ferrier, B. S., 1994: A double-moment multiple-phase four-class bulk ice scheme. Part I: Description. J. Atmos. Sci., 51, 249-280.
5. Flatau, P. J., G. J. Tripoli, J. Verlinde, and W. R. Cotton, 1989: The CSU-RAMS cloud microphysical module: General theory and code documentation. Atmospheric Science Paper 451, 88 pp.
6. Fowler, L. D., D. A. Randall, and S. A. Rutledge, 1996: Liquid and ice cloud microphysics in the CSU general circulation model. Part I: Model description and simulated microphysical processes. J. Climate, 9, 489-529.
7. Friedlander, S. K., and C. L. Wang, 1966: Self-preserving particle size distribution for coagulation by Brownian motion. J. Colloid. Interface Sci., 22, 126-132.
8. Hall, W. D., 1980: A detailed microphysical model within a two-dimensional dynamical framework: Model description and preliminary results. J. Atmos, Sci., 37, 2486-2507.
9. Kessler, E., 1969: On the Distribution and Continuity of Water Substance in Atmospheric Circulations. Meteor. Monogr., No. 32, Amer. Meteor. Soc., 84 pp.
10. Khairoutdinov, M. F., and Y. L. Kogan, 2000: A new cloud physics parameterization for large-eddy simulation model of marine stratocumulus. Mon. Wea. Rev., 128, 229-243.
11. Khvorostyanov, V. I., and J. A. Curry, 2002: Terminal velocities of droplets and crystals: Power laws with continuous parameters over the size spectrum. J. Atmos. Sci., 59, 1872-1884.
12. Kogan, Y. L., 1991: The simulation of a convective cloud in a 3D model with explicit microphysics. Part I: Model description and sensitivity experiments. J. Atmos. Sci., 48, 1160-1189.
13. Laroche, S., W. Szyrmer, and I. Zawadzki, 2005: A microphysical bulk formulation based on scaling normalization of the particle size distribution, Part II: Data assimilation into physical processes, J. Atmos. Sci., 62, 4222-4237.
14. Lee, G. W., and I. Zawadzki, 2005: Variability of drop size distributions: Time-scale dependence of the variability and its effects on rain estimation. J. Appl. Meteor., 44, 241-255.
15. Lee, G. W., I. Zawadzki, W. Szyrmer, D. Sempere-Torres, and R. Uijlenhoet, 2004: A general approach to double-moment normalization of drop size distributions. J. Appl, Meteor., 43, 264-281.
16. Li, X.-L., and R. C. Srivastava, 2001: An analytical solution for raindrop evaporation and its application to radar rainfall measurements. J. Appl. Meteor., 40, 1607-1616.
17. Lin, Y.-L., R. D. Farley, and H. D. Orville, 1983: Bulk parameterization of the snow field in a cloud model. J. Appl. Meteor., 22, 1065-1092.
18. Marshall, J. S., and W. M. Palmer, 1948: The distribution of raindrops with size. J. Meteor., 5, 165-166.
19. Sekhon, R. S., and R. C. Srivastava, 1971: Doppler radar observations of drop-size distributions in a thunderstorm. J. Atmos. Sci., 28, 983-994.
20. Sempere-Torres, D., J, M. Porrà, and J. D. Creutin, 1994: A general formulation for raindrop size distribution. J. Appl. Meteor., 33, 1494-1502.
21. Spilhaus, A. F., 1948: Raindrop size, shape and falling speed. J. Meteor., 5, 108-110.
22. Testud, J., S. Oury, R. Black, P. Amayenc, and X. Dou, 2001: The concept of "normalized" distribution to describe raindrop spectra: A tool for cloud physics and cloud remote sensing. J. Appl. Meteor., 40, 1118-1140.
23. Tremblay, A., and A. Glazer, 2000: An improved modeling scheme for freezing precipitation forecasts. Mon. Wea. Rev., 128, 1289-1308.
24. Tzivion, S., G. Feingold, and Z. Levin, 1989: The evolution of raindrop spectra. Part II: Collisional collection/breakup and evaporation in a rainshaft. J. Atmos. Sci., 46, 3312-3327.
25. Walko, R. O., W. R. Cotton, J. L. Harrington, and M. P. Meyers, 1995: New RAMS cloud microphysics parameterization. Part I: The single moment scheme. Atmos. Res., 38, 29-62.
26. Willis, P. T., 1984: Functional fits to some observed dropsize distributions and parameterization of rain. J. Atmos. Sci., 41, 1648-1661.
27. Zawadzki, I., L. Ostiguy, and R. Laprise, 1993: Retrieval of the microphysical properties in a CASP storm by numerical integration of a numerical kinematic model. Atmos.-Ocean, 31, 201-233.
28. Ziegler, C. L., 1985: Retrieval of thermal and microphysical variables in observed convective storms. Part I: Model development and preliminary testing. J. Atmos. Sci. 42, 1487-1509.