Radiation singularities, multiple scattering and diffusion in multifractal clouds

Conference · Sat Apr 01 04:00:00 EST 1995

OSTI ID:84789

Silas, P; Broesamlen, G; Lovejoy, S ^[1]; Naud, C; Schertzer, D ^[2]; Watson, B ^[3]

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1. McGill Univ., Quebec (Canada)
2. Universite Pierre and Marie Curie, Paris (France)
3. St. Lawrence Univ., Canton, NY (United States)

Many geophysical and atmospheric fields exhibit multifractal characteristics over wide ranges of scale. These findings motivate a study of transport phenomena in multifractal media, particularly diffusion. As we study the diffusion properties of one-dimensional universal multifractal resistivity fields, a relation for the diffusion exponent d(sub w) is derived and is found to depend only on K(-1), the value of the moment scaling function K(q) of the resistivity field for the q = -1 order statistical moment. This relation is subsequently verified through Monte Carlo simulations of diffusion on these systems. The study of radiative transfer in multifractal clouds is of great interest, an important application being to global climate models. In this work, we develop a formalism analogous to the multifractal singularity formalism for understanding photon scattering statistics in radiative transfer in lognormal universal multifractals, and test the results numerically.

• Research Organization: USDOE Office of Energy Research, Washington, DC (United States). Environmental Sciences Div.
• OSTI ID: 84789
• Report Number(s): CONF-940277--; ON: DE95009951
• Country of Publication: United States
• Language: English

Related Subjects

54 ENVIRONMENTAL SCIENCES
CALCULATION METHODS
CLIMATE MODELS
CLOUDS
DIFFUSION
GENERAL CIRCULATION MODELS
MULTIPLE SCATTERING
RADIANT HEAT TRANSFER
SCALING