Brownian drift-diffusion model for evolution of droplet size distributions in turbulent clouds

Geophysical Research Letters

Volumn 33, Issue 3, 2006, Pages

  McGraw, Robert ^a   Liu, Yangang ^a  

^a BROOKHAVEN NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BROWNIAN MOVEMENT; COMPUTER SIMULATION; DIFFUSION IN LIQUIDS; MATHEMATICAL MODELS; MONTE CARLO METHODS; PRECIPITATION (METEOROLOGY); TURBULENT FLOW; WEIBULL DISTRIBUTION;

BROWNIAN DRIFT-DIFFUSION MODEL; DRIZZLE FORMATION; DROPLET SIZE DISTRIBUTIONS; TURBULENT CLOUDS;

CLOUDS;

ATMOSPHERIC MOISTURE; CLOUD DROPLET; DRIZZLE; MONTE CARLO ANALYSIS; SIMULATION; SIZE DISTRIBUTION; TURBULENT DIFFUSION;

EID: 33645837669     PISSN: 00948276     EISSN: None     Source Type: Journal    
DOI: 10.1029/2005GL023545     Document Type: Article

References (26)

1. Baker, M. B., R. G. Corbin, and J. Latham (1980), The influence of entrainment on the evolution of cloud droplet spectra. I: A model of inhomogeneous mixing, Q. J. R. Meteorol. Soc., 106, 581-598.
2. Clement, C. F. (2003), Mean field theory for condensation on aerosols and application to multi-component organic vapours, J. Aerosol. Sci., 34, 27-40.
3. Cooper, W. A. (1989), Effects of variable droplet growth histories on droplet size distributions. part I: Theory, J. Atmos. Sci., 46, 1301-1311.
4. Costa, A. A., C. J. de Oliveira, J. C. P. de Oliveira, and A. J. da Costa Sampaio (2000), Microphysical observations of warm cumulus clouds in Ceara, Brazil, Atmos. Res., 54, 169-199.
5. Gardiner, C. W. (1985), Handbook of Stochastic Methods for Physics, Chemistry, and the Natural Sciences, Springer, New York.
6. Houghton, J. T., Y. Ding, D. J. Griggs, M. Noguer, P. van der Linden, X. Dai, and K. Maskell (Eds.) (2001), Climate Change 2001: The Scientific Basis - Contributions of Working Group I to the Third Assessment Report of the Intergovernmental Panel on Climate Change, Cambridge Univ. Press, New York.
7. Khvorostyanov, V I., and J. A. Curry (1999a), Theory of stochastic condensation in clouds. part I: A general kinetic equation, J. Atmos. Sci., 56, 3985-3996.
8. Khvorostyanov, V. I., and J. A. Curry (1999b), Theory of stochastic condensation in clouds. part II: Analytical solutions of the gamma-distribution type, J. Atmos. Sci., 56, 3997-4013.
9. Kulmala, M., U. Rannik, E. L. Zapadinsky, and C. F. Clement (1997), The effect of saturation fluctuations on droplet growth, J. Aerosol Sci., 28, 1395-1409.
10. Lifshitz, E. M., and L. P. Pitaevskii (1981), Physical Kinetics, Landau and Lifshitz Course of Theoretical Physics, vol. 10, chap. 12, Elsevier, New York.
11. Liu, Y., and P. H. Daum (2000), Spectral dispersion of cloud droplet size distributions and the parameterization of cloud droplet effective radius, Geophys. Res. Lett., 27, 1903-1906.
12. Liu, Y., and P. H. Daum (2002), Indirect warming effect from dispersion forcing, Nature, 419, 580-581.
13. Liu, Y., and P. H. Daum (2004), Parameterization of the autoconversion process. part I: Analytical formulation of the Kessler-type parameterizations, J. Atmos. Sci., 61, 1539-1548.
14. Liu, Y., P. H. Daum, S. K. Chai, and F. Liu (2002), Cloud parameterizations, cloud physics, and their connections: An overview, in Recent Research Developments in Geophysics, edited by S. G. Pandalai, pp. 119-142, Res. Signpost, Trivandrum, India.
15. Liu, Y., P. H. Daum, and R. McGraw (2004), An analytic expression for predicting the critical radius in the autoconversion parameterization, Geophys. Res. Lett., 31, L06121, doi:10.1029/2003GL019117.
16. Liu, Y., P. H. Daum, and R. McGraw (2005), Size truncation effect, threshold behavior, and a new type of autoconversion parameterization, Geophys. Res. Lett., 32, L11811, doi:10.1029/2005GL022636.
17. McGraw, R. (1997), Description of aerosol dynamics by the quadrature method of moments, Aerosol Sci. Technol., 27, 255-265.
18. McGraw, R., and Y. Liu (2003), Kinetic potential and barrier crossing: A model for warm cloud drizzle formation, Phys. Rev. Lett., 90, 018501.
19. McGraw, R., and Y. Liu (2004), Analytic formulation and parameterization of the kinetic potential theory for drizzle formation, Phys. Rev. E, 70, 031606.
20. Peng, Y., and U. Lohmann (2003), Sensitivity study of the spectral dispersion of the cloud droplet size distribution on the indirect aerosol effect, Geophys. Res. Lett., 30(10), 1507, doi:10.1029/ 2003GL017192.
21. Pruppacher, H. R., and J. D. Klett (1997), Microphysics of Clouds and Precipitation, Springer, New York.
22. Rotstayn, L. D., and Y. Liu (2003), Sensitivity of the indirect aerosol effect to an increase of cloud droplet spectral dispersion with droplet number concentration, J. Clim., 16, 3476-3481.
23. Rotstayn, L. D., and Y. Liu (2005), A smaller global estimate of the second indirect aerosol effect, Geophys. Res. Lett., 32, L05708, doi:10.1029/2004GL021922.
24. Serra, R., M. Andretta, G. Zanarini, and M. Compiani (1986), Introduction to the Physics of Complex Systems, chap. 1, Pergamon Press, New York.
25. Shaw, R. A. (2003), Particle-turbulence interactions in atmospheric clouds, Annu. Rev. Fluid Mech., 35, 183-227.
26. Srivastava, R. C. (1989), Growth of cloud drops by condensation: A criticism of currently accepted theory and a new approach, J. Atmos. Sci., 46, 869-887.