Large particle number limit in rain

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 68, Issue 2 2, 2003, Pages

  Lovejoy, S ^a   Lilley, M ^a   Desaulniers Soucy, N ^b   Schertzer, D ^c,d  

^a MCGILL UNIVERSITY   (Canada)

^b EMS Technologies   (Canada)

^c Universite Paris Est   (France)

^d SORBONNE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CONTINUUM MECHANICS; CONVERGENCE OF NUMERICAL METHODS; GRAPH THEORY; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; POISSON DISTRIBUTION; RAIN; RAIN GAGES; RANDOM PROCESSES; STATISTICAL METHODS;

DROP SIZE DISTRIBUTION; DROP STATISTICS;

FLUID MECHANICS;

EID: 26144440148     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (38)

1. G. K. Batchelor, An Introduction to Fluid Mechanics, (Cambridge University Press, Cambridge, 1970)
2. D. Tritton, Physical Fluid Mechanics (Oxford University Press, Oxford 1990), p. 519.
3. J. O. Lawson and D. A. Parsons, Trans., Am. Geophys. Union 24, 452 (1943).
4. J. S. Marshall and W. M. Palmer, J. Meteorol. 5, 165 (1948).
5. F. Anselmet, R. A. Antonia, and L. Danaila, Planet. Space Sci. 49, 1177 (2001).
6. D. Schertzer, S. Lovejoy, and P. Hubert, Mathematical Problems in Environmental Science and Engineering, edited A. Ern and Liu Weiping, Series in Contemporary Applied Mathematics, Vol. 4 (High Education Press, Beijing, 2002), pp. 106-179.
7. D. Schertzer and S. Lovejoy, PCH, Physico Chem. Hydrodyn. 6, 623 (1985).
8. S. Lovejoy, D. Schertzer, and A. A. Tsonis, Science 235, 1036 (1987).
9. V. K. Gupta and E. Waymire, J. Geophys. Res., [Atmos.] 95, 1999 (1990).
10. J. Olsson, Non-linear Processes in Geophysics 2, 23 (1995).
11. P. Hubert, H. Bendjoudi, D. Schertzer, and S. Lovejoy, in Space and Time Variability and Interdependencies in Hydrological Processes, edited by R. A. Feddes (Cambridge University Press, Cambridge, 1995), pp. 175-181.
12. P. Burlando and R. Rosso, J. Hydrol. 187, 45 (1995).
13. A. Carsteanu and E. Foufoula-Georgiou, J. Geophys. Res. 101, 26 363 (1996).
14. D. Harris, M. Menabde, A. Seed, and G. Austin, J. Geophys. Res. 101, 26 405 (1996).
15. T. Over and V. K. Gupta, J. Geophys. Res. 101, 26 319 (1996).
16. I. De Lima, Ph.D. Thesis, Wageningen University, 1998 (unpublished).
17. Y. Tessier, S. Lovejoy, and D. Schertzer, J. Appl. Meteorol. 32, 223 (1993).
18. S. Lovejoy and D. Schertzer, Multifractals and Rain, New Uncertainty Concepts in Hydrology and Hydrological Modeling, edited by A. W. Kundzewicz (Cambridge Press, Cambridge, 1995), pp. 62-103.
19. R. K. Crane, J. Geophys. Res. 95, 2011 (1990).
20. A. B. Kostinski and A. R. Jameson, J. Atmos. Sci. 54, 2174 (1997).
21. A. R. Jameson and A. B. Kostinski, J. Atmos. Sci. 55, 283 (1998).
22. A. R. Jameson and A. B. Kostinski, Bull. Am. Meteorol. Soc. 82, 1169 (2000).
23. A. R. Jameson and A. B. Kostinski, J. Appl. Meteorol. 40, 2098 (2001).
24. A. R. Jameson and A. B. Kostinski, J. Atmos. Sci. 128, 1 (2002).
25. A. R. Jameson, A. B. Konstinski, and A. Kruger, J. Atmos. Sci. 59, 82 (1999).
26. R. Uijlenhoet et al., Phys. Chem. Earth 24, 747 (1999).
27. S. Lovejoy and D. Schertzer, J. Appl. Meteorol. 29, 1167 (1990).
28. S. Lovejoy and D. Schertzer, Scaling, Fractals and Non-linear Variability in Geophysics, edited by D. Schertzer and S. Lovejoy (Kluwer, Dorecht, 1991) pp. 111-144.
29. J. Lavergnat and P. Golé, J. Appl. Meteorol. 37, 805 (1998).
30. A. Davis et al., J. Atmos. Sci. 53, 1538 (1996).
31. N. Desaulniers-Soucy, S. Lovejoy, and D. Schertzer, Atmos. Res. 59-60, 163 (2001).
32. N. Desaulniers-Soucy, Ph.D. thesis, McGill University, Canada, 1999.
33. M. Lilley, N. Desaulniers-Soucy, S. Lovejoy, and D. Schertzer J. Hydrol. (to be published).
34. D. Schertzer and S. Lovejoy, Physica A 185, 187 (1992).
35. D. Schertzer and S. Lovejoy, J. Geophys. Res. 92, 9693 (1987).
36. D. Schertzer et al., Fractals 5(3), 427-471 (1997).
37. S. Lovejoy, D. Schertzer, and J. D. Stanway, Phys. Rev. Lett. 86, 5200 (2001).
38. S. Lovejoy, M. Duncan, and D. Schertzer, J. Geophys. Res. 31, 26479 (1996).