Space-time scaling in high-intensity Tropical Ocean Global Atmosphere Coupled Ocean-Atmosphere Response Experiment (TOGA-COARE) storms

Water Resources Research

Volumn 40, Issue 2, 2004, Pages

  Deidda, Roberto ^a   Badas, Maria Grazia ^a   Piga, Enrico ^a  

^a UNIVERSITY OF CAGLIARI   (Italy)

Author keywords

Rainfall; Scaling processes

Indexed keywords

ATMOSPHERICS; FRACTALS; HIERARCHICAL SYSTEMS; INVARIANCE; MATHEMATICAL TRANSFORMATIONS; OCEANOGRAPHY; PRECIPITATION (METEOROLOGY); STATISTICAL METHODS;

OCEAN ATMOSPHERE; SCALE-INVARIANCE ANALYSIS;

STORMS;

FRACTAL ANALYSIS; RAINSTORM; SCALE EFFECT;

EID: 1642347868     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2003WR002574     Document Type: Article

References (30)

1. Austin, P., and R. Houze (1972), Analysis of the structure of precipitation patterns in New England, J. Appl. Meteorol., 11, 926-935.
2. Corrsin, S. (1951), On the spectrum of isotropic temperature fluctuations in an isotropic turbulence, J. Appl. Phys., 22, 469.
3. Czirok, A., E. Somfai, and T. Viscek (1993), Experimental evidence for self-affine roughening in a micro-model of geomorphological evolution, Phys. Rev. Lett., 71(23), 2127-2154.
4. Deidda, R. (2000), Rainfall downscaling in a space-time multifractal framework, Water Resour. Res., 36, 1779-1794.
5. Deidda, R., R. Benzi, and F. Siccardi (1999), Multifractal modeling of anomalous scaling laws in rainfall, Water Resour. Res., 35, 1853-1867.
6. Dubrulle, B. (1994), Intermittency in fully developed turbulence: Log-Poisson statistics and generalized scale-covariance, Phys. Rev. Lett., 73, 959-962.
7. Falconer, K. J. (1990), Fractal Geometry: Mathematical Foundations and Applications, John Wiley, Hoboken, N. J.
8. Feder, J. (1988), Fractals, Plenum, New York.
9. Kahane, J. P., and J. Peyriere (1976), Sur certaines martingales de Benoit Mandelbrot, Adv. Math., 22, 131-145.
10. Kardar, M., G. Parisi, and Y. Zhang (1986), Dynamic scaling of growing interfaces, Phys. Rev. Lett., 56, 889-892.
11. Kolmogorov, A. N. (1941), The local structure of turbulence in an incompressible viscous fluid for very large Reynolds number, Dokl. Acad. Nauk SSSR, 30, 9-13.
12. Kruger, A., P. A. Kucera, and W. F. Krajewski (1999), TOGA-COARE shipborne radar-rainfall products, Water Resour. Res., 35, 2597-2600.
13. Lovejoy, S., and D. Schertzer (1985), Generalized scale invariance and fractal models of rain, Water Resour. Res., 21, 1233-1250.
14. 6 m, in Scaling, Fractals and Non-linear Variability in Geophysics, edited by D. Schertzer and S. Lovejoy, pp. 111-144, Kluwer Acad., Norwell, Mass.
15. Mandelbrot, B. (1974), Intermittent turbulence in self-similar cascades: Divergence of high moments and dimension of the carrier, J. Fluid Mech., 62, 331-358.
16. Marsan, D., D. Schertzer, and S. Lovejoy (1996), Casual space-time multifractal processes: Predictability and forecasting of rain fields, J. Geophys Res., 101, 26,333-26,346.
17. Obukhov, A. (1941), Spectral energy distribution in a turbulent flow, Dokl. Akad. Nauk. SSSR, 32(1), 22-24.
18. Obukhov, A. (1949), Structure of the temperature field in a turbulent flow, Izv. Akad. Nauk. SSSR Geogr. Geofiz., 13, 58-69.
19. Ossiander, M., and E. C. Waymire (2000), Statistical estimation for multiplicative cascades, Ann. Stat., 28, 1533-1560.
20. Ossiander, M., and E. C. Waymire (2002), On estimation theory for multiplicative cascades, Indian J. Stat., 64, 323-343.
21. Over, T. M., and V. K. Gupta (1994), Statistical analysis of mesoscale rainfall: Dependence of random cascade generator on large-scale forcing, J. Appl. Meteorol., 33, 1526-1542.
22. Over, T. M., and V. K. Gupta (1996), A space-time theory of mesoscale rainfall using random cascades, J. Geophys. Res., 101, 26,319-26,331.
23. Perica, S., and E. Foufoula-Georgiou (1996), Linkage of scaling and thermodynamic parameters of rainfall: Results from midlatitude mesoscale convective systems, J. Geophys. Res., 101, 7431-7448.
24. Schertzer, D., and S. Lovejoy (1985), Generalized scale invariance in turbulent phenomena, Phys. Chem. Hydrodyn., 6, 623-635.
25. She, Z.-S., and E. Leveque (1994), Universal scaling laws in fully developed turbulence, Phys. Rev. Lett., 72, 336-339.
26. She, Z.-S., and E. C. Waymire (1995), Quantized energy cascade and log- Poisson statistics in fully developed turbulence, Phys. Rev. Lett., 74, 262-265.
27. Taylor, G. I. (1938), The spectrum of turbulence, Proc. R. Soc. London, Ser. A, 164, 476-490.
28. Tessier, Y., S. Lovejoy, and D. Schertzer (1993), Universal multifractals: Theory and observations for rain and clouds, J. Appl. Meteorol., 32, 223-250.
29. Venugopal, V., E. Foufula-Georgiou, and V. Sapozhnikov (1999a), A spacetime downscaling model for rainfall, J. Geophys. Res., 104, 19,705-19,721.
30. Venugopal, V., E. Foufula-Georgiou, and V. Sapozhnikov (1999b), Evidence of dynamic scaling in space-time rainfall, J. Geophys. Res., 104, 31,599-31,610.