Assessment of hydrometeor collection rates from exact and approximate equations. Part II: Numerical bounding

Journal of Applied Meteorology and Climatology

Volumn 46, Issue 1, 2007, Pages 82-96

  Gaudet, Brian J ^a,b   Schmidt, Jerome M ^a  

^a NAVAL RESEARCH LABORATORY   (United States)

^b University of New Mexico   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATMOSPHERIC THERMODYNAMICS; MASS TRANSFER; MATHEMATICAL MODELS; POISSON EQUATION;

FRACTION DEPLETION; HYDROMETEOR; NUMERICAL BOUNDING;

METEOROLOGY;

CONDENSATION; HYDROMETEOROLOGY; MASS TRANSFER; MEASUREMENT METHOD; NUMERICAL METHOD; POISSON RATIO; PREDICTION;

EID: 33846827248     PISSN: 15588424     EISSN: None     Source Type: Journal    
DOI: 10.1175/JAM2442.1     Document Type: Article

References (43)

1. Clark, T. L., 1974: A study in cloud phase parameterization using the gamma distribution. J. Atmos. Sci., 31, 142-155.
2. Ćurić, M., and D. Janc, 1997: The hail characteristics influence on its accretional growth. Atmos. Res., 45, 217-235.
3. Dery, S. J., and M. K. Yau, 2001: Simulation of blowing snow in the Canadian Arctic using a double moment model. Bound.-Layer Meteor., 99, 297-316.
4. Doviak, R. J., and D. S. Zrnić,1993: Doppler Radar and Weather Observations. 2d ed. Academic Press, 562 pp.
5. Feingold, G., B. Stevens, W. R. Cotton, and R. L. Walko, 1994: An explicit cloud microphysical/LES model designed to simulate the Twomey effect. Atmos. Res., 33, 207-233.
6. Feingold, G., R. L. Walko, B. Stevens, and W. R. Cotton, 1998: Simulations of marine stratocumulus using a new microphysical parameterization scheme. Atmos. Res., 47-48, 505-528.
7. Ferrier, B. S., 1994: A double-moment multiple-phase 4-class bulk ice scheme. Part I: Description. J. Atmos. Sci., 51, 249-280.
8. Gaudet, B., and J. M. Schmidt, 2005: Assessment of hydrometeor collection rates from exact and approximate equations. Part I: A new approximate scheme. J. Atmos. Sci., 62, 143-159.
9. Gillespie, D. T., 1972: The stochastic coalescence model for cloud droplet growth. J. Atmos. Sci., 29, 1496-1510.
10. Gillespie, D. T., 1975: Three models for the coalescence growth of cloud drops. J. Atmos. Sci., 32, 600-607.
11. Gilmore, M. S., J. M. Straka, and E. N. Rasmussen, 2004: Precipitation and evolution sensitivity in simulated deep convective storms: Comparisons between liquid-only and simple ice and liquid phase microphysics. Mon. Wea. Rev., 132, 1897-1916.
12. Hodur, R. M., 1997: The Naval Research Laboratory's Coupled Ocean/ Atmosphere Mesoscale Prediction System (COAMPS). Mon. Wea. Rev., 125, 1414-1430.
13. Hong, S.-Y., J. Dudhia, and S.-H. Chen, 2004: A revised approach to ice microphysical processes for the bulk parameterization of clouds and precipitation. Mon. Wea. Rev., 132, 103-120.
14. Jameson, A. R., and A. B. Kostinski, 2000: The effect of stochastic cloud structure on the icing process. J. Atmos. Sci., 57, 2883-2891.
15. Kogan, Y. L., 1991: The simulation of a convective cloud in a 3-D model with explicit microphysics. Part I: Model description and sensitivity experiments. J. Atmos. Sci., 48, 1160-1189.
16. Kong, F., and M. K. Yau, 1997: An explicit approach to microphysics in MC2. Atmos.-Ocean, 35, 257-291.
17. Kostinski, A. B., and A. R. Jameson, 1997: Fluctuation properties of precipitation. Part I: On deviations of single-size drop counts from the Poisson distribution. J. Atmos. Sci., 54, 2174-2186.
18. Lin, Y.-L., R. D. Farley, and H. D. Orville, 1983: Bulk parameterization of the snow field in a cloud model. J. Climate Appl. Meteor., 22, 1065-1092.
19. Liu, H.-C., P. K. Wang, and R. E. Schlesinger, 2003: A numerical study of cirrus clouds. Part I: Model description. J. Atmos. Sci., 60, 1075-1084.
20. Lynn, B. H., A. P. Khain, J. Dudhia, D. Rosenfeld, A. Pokrovsky, and A. Seifert, 2005: Spectral (bin) microphysics coupled with a mesoscale model (MM5). Part I: Model description and first results. Mon. Wea. Rev., 133, 44-58.
21. Marshall, J. S., and W. M. Palmer, 1948: The distribution of raindrops with size. J. Meteor., 5, 165-166.
22. Meyers, M. P., R. L. Walko, J. Y. Harrington, and W. R. Cotton, 1997: New RAMS cloud microphysics parameterization. Part II: The two-moment scheme. Atmos. Res., 45, 3-39.
23. Milbrandt, J. A., and M. K. Yau, 2005a: A multimoment bulk microphysics parameterization. Part I: Analysis of the role of the spectral shape parameter. J. Atmos. Sci., 62, 3051-3064.
24. Milbrandt, J. A., and M. K. Yau, 2005b: A multimoment bulk microphysics parameterization. Part II: A proposed three-moment closure and scheme description. J. Atmos. Sci., 62, 3065-3081.
25. Mizuno, H., 1990: Parameterization of the accretion process between different precipitation elements. J. Meteor. Soc. Japan, 68, 395-398.
26. Murakami, M., 1990: Numerical modeling of dynamical and microphysical evolution of an isolated convective cloud - The 19 July 1981 CCOPE cloud. J. Meteor. Soc. Japan, 68, 107-128.
27. Orville, H. D., and F. J. Kopp, 1977: Numerical simulation of the life history of a hailstorm. J. Atmos. Sci., 34, 1596-1618.
28. Ovtchinnikov, M., and Y. L. Kogan, 2000: An investigation of ice production mechanisms in small cumuliform clouds using a 3D model with explicit microphysics. Part I: Model description. J. Atmos. Sci., 57, 2989-3003.
29. Pruppacher, H. R., and J. D. Klett, 1978: Microphysics of Clouds and Precipitation. Reidel, 714 pp.
30. Reisner, J., R. M. Rasmussen, and R. T. Bruintjes, 1998: Explicit forecasting of supercooled liquid water in winter storms using the MM5 mesoscale model. Quart. J. Roy. Meteor. Soc., 124, 1071-1107.
31. Rutledge, S. A., and P. V. Hobbs, 1983: The mesoscale and microscale structure and organization of clouds and precipitation in midlatitude cyclones. VIII: A model for the "seeder-feeder" process in warm-frontal rainbands. J. Atmos. Sci., 40, 1185-1206.
32. Rutledge, S. A., and P. V. Hobbs, 1984: The mesoscale and microscale structure and organization of clouds and precipitation in midlatitude cyclones. XII: A diagnostic modeling study of precipitation development in narrow cold-frontal rainbands. J. Atmos. Sci., 41, 2949-2972.
33. Scott, W. T., 1968: On the connection between the Telford and kinetic equation approaches to droplet coalescence theory. J. Atmos. Sci., 25, 871-873.
34. Tao, W.-K., and Coauthors, 2003: Microphysics, radiation and surface processes in the Goddard Cumulus Ensemble (GCE) model. Meteor. Atmos. Phys., 82, 97-137.
35. Thompson, G., R. M. Rasmussen, and K. Manning, 2004: Explicit forecasts of winter precipitation using an improved bulk microphysics scheme. Part I: Description and sensitivity analysis. Mon. Wea. Rev., 132, 519-542.
36. Thompson, P. D., 1968: A transformation of the stochastic equation for droplet coalescence. Proc. Int. Conf. on Cloud Physics, Toronto, ON, Canada, Amer. Meteor. Soc., 115-126.
37. Tzivion, S., G. Feingold, and Z. Levin, 1987: An efficient numerical solution to the stochastic collection equation. J. Atmos. Sci., 44, 3139-3149.
38. Verlinde, J., P. J. Flatau, and W. R. Cotton, 1990: Analytical solutions to the collection growth equation: Comparison with approximate methods and application to cloud parameterization schemes. J. Atmos. Sci., 47, 2871-2880.
39. Wakimoto, R. M., H. V. Murphey, R. G. Fovell, and W.-C. Lee, 2004: Mantle echoes associated with deep convection: Observations and numerical simulations. Mon. Wea. Rev., 132, 1701-1720.
40. Walko, R. L., W. R. Cotton, M. P. Meyers, and J. Y. Harrington, 1995: New RAMS cloud microphysics parameterization. Part I: The single-moment scheme. Atmos. Res., 38, 29-62.
41. Wisner, C., H. D. Orville, and C. Myers, 1972: A numerical model of a hail-bearing cloud. J. Atmos. Sci., 29, 1160-1181.
42. Young, K. C., 1975: The evolution of drop spectra due to condensation, coalescence and breakup. J. Atmos. Sci., 32, 965-973.
43. 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.