Stereophotography of rain drops and compound poisson - Cascade processes

12th Conference on Cloud Physics, and 12th Conference on Atmospheric Radiation

Volumn , Issue , 2006, Pages

  Lovejoy, S ^a   Schertzer, D ^b  

^a MCGILL UNIVERSITY   (Canada)

^b Universite Paris Est   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CASCADE MODEL; CASCADE PROCESS; COMPOUND POISSON; COMPOUND POISSON PROCESS; CUT-OFF; DIMENSIONAL ANALYSIS; DISDROMETERS; DROP DISTRIBUTION; ENERGY SPECTRA; EXACT RESULTS; FIELD SCALE; FRACTAL SETS; FRACTIONAL INTEGRATION; LARGE SPHERES; LIQUID WATER; LOVEJOY; MARSHALL-PALMER; MULTI FRACTALS; NUMBER DENSITY; NUMERICAL SIMULATION; PARTICLE NUMBER DENSITY; PASSIVE SCALARS; POISSON PROCESS; POWER LAW; RADAR REFLECTIVITY FACTOR; RAIN DROPS; RAIN GAUGES; RAIN RATES; TIME-SCALES; TOTAL MASS; TURBULENT ENERGIES; TURBULENT WIND;

ATMOSPHERIC RADIATION; ATMOSPHERIC THERMODYNAMICS; ATMOSPHERIC TURBULENCE; COMPUTER SIMULATION; EXPERIMENTS; FRACTALS; GAGES; METEOROLOGICAL INSTRUMENTS; POISSON DISTRIBUTION; POISSON EQUATION; RADAR; RAIN; RANDOM PROCESSES; RANDOM VARIABLES; REFLECTION; SPECTROSCOPY;

PROCESS CONTROL;

EID: 75149158908     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (25)

1. Anselmet, F., R. A. Antonia, L. Danaila (2001), Turbulent flows and intermittency in laboratory experiments, Plan. and Space Sci., 49, 1177-1191.
2. Bendjoudi, H., Hubert, P., Schertzer, D., Lovejoy, S. (1997), Interprétation multifractale des courbes intensité-durée- fréquence des précipitations, Multifractal point of view on rainfall intensity-duration-frequency curves, C.R. A. S., (Sciences de la terre et des planetes/Earth and Planetary Sciences), 325, 323-326.
3. Desaulniers-Soucy., N., et al. (2001), The continuum limit in rain and the HYDROP experiment, Atmos. Resear., 59-60, 163-197.
4. Falkovitch, G., and A. Pumir (2004), Intermittent distribution of heavy particles in a turbulent flow, Phys. Fluids, 16, L47-L50.
5. Falkovitch, G., et al. (2006), Rain initiation time in turbuloent warm clouds, J. Applied Meteorology and Climatology, 45, 591-599.
6. Feingold, G., et al. (1998), Simulations of marin stratocumuls using a new microphysical parametrization scheme, Atmos. Res., 47-48, 505-528.
7. Feller, W. (1971), An Introduction to probability theory and its applications, vol. 2, 669 pp., Wiley, New York.
8. Jameson, A. R., and A. B. Kostinski (1999), Fluctuation properties of precipitation: Part V: Distribution of rain rates - theory and observations in clustered rain, J. Atmos. Sci., 56, 3920-3932.
9. Khain, A. P., and M. B. Pinsky (1995), Drop Inertia and its contribution to trublent coalescence in coonvective clouds. Part I: Drop fall in the flow with random horizontal velocity, J. Atmos. Sci., 52, 196-206.
10. Khairoutdinav, M., and Y. Kogan (1999), A new cloud physics paramterization in a Large-Eddy Simulation model of marine stratocumulus, Mon. Wea. Rev., 128, 229-243.
11. Lilley, M., et al. (2005), Multifractal large number of drops limit in Rain, J. Hydrol., doi:10.1016/j.jhydrol.2005.11.063.
12. Lilley, M., et al. (2004), 23/9 dimensional anisotropic scaling of passive admixtures using lidar aerosol data, Phys. Rev. E, 70, 036307-036301-036307.
13. Lovejoy, S., et al. (2004), Bubble distributions and dynamics: the expansion-coalescence equation, J. Geophys. Res. (Solid Earth), 109, B, doi:10.1029/2003JB002823., 11203.
14. Lovejoy, S., et al. (2003), Large particle number limit in Rain, Phys. Rev. E, 68, 025301.
15. Lovejoy, S., and D. Schertzer (1990), Fractals, rain drops and resolution dependence of rain measurements, Journal of Applied Meteorology, 29, 1167-1170.
16. 6m, in Non-linear variability in geophysics: Scaling and Fractals, edited by D. Schertzer and S. Lovejoy, pp. 111-144, Kluwer.
17. Lovejoy, S., and D. Schertzer (1995), Multifractals and Rain, in New Uncertainty Conceps in Hydrology and Water Ressources, edited by Z. W. Kunzewicz, pp. 62-103, Cambridge University Press.
18. Marsan, D., et al. (1996), Causal space-time multifractal processes: predictability and forecasting of rain fields, J. Geophy. Res., 31D, 26,333-326,346.
19. Marshall, J. S., and W. Hitschfeld (1953), Interpretation of The fluctuating Echo from Random Distributed Scatterers; Part I., Canadian Journal of Physics, 31, 962-994.
20. Schertzer, D., and S. Lovejoy (1987), Physical modeling and Analysis of Rain and Clouds by Anisotropic Scaling of Multiplicative Processes, Journal of Geophysical Research, 92, 9693-9714.
21. Schertzer, D., and S. Lovejoy (1997), Universal Multifractals do Exist! J. Appl. Meteor., 36, 1296-1303.
22. Schertzer, D., et al. (1997), Multifractal cascade dynamics and turbulent intermittency, Fractals, 5, 427-471.
23. Srivastava, R. C., and R. E. Passarelli (1980), Analytical solutions to simple models of condensation and coalescence, J. Atmos. Sci., 37, 612-621.
24. Uijlenhoet, R., et al. (1999), Towards a stochastic model of rainfall for radar hydrology: testing the Poisson homogeneity hypothesis, Phys. Chem. Earth (B), 24, 747-755.
25. Wallace, P. R. (1953), Interpretation of The fluctuating Echo from Random Distributed Scatterers; Part II, Canadian Journal of Physics, 31, 994-1009.