Radiation singularities, multiple scattering and diffusion in multifractal clouds
Abstract
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.
- Authors:
-
- McGill Univ., Quebec (Canada)
- Universite Pierre and Marie Curie, Paris (France)
- St. Lawrence Univ., Canton, NY (United States)
- Publication Date:
- Research Org.:
- USDOE Office of Energy Research, Washington, DC (United States). Environmental Sciences Div.
- OSTI Identifier:
- 84789
- Report Number(s):
- CONF-940277-
ON: DE95009951; TRN: 95:003626-0058
- Resource Type:
- Conference
- Resource Relation:
- Conference: Atmospheric radiation measurement science team meeting, Charleston, SC (United States), 28 Feb - 3 Mar 1994; Other Information: PBD: Apr 1995; Related Information: Is Part Of Proceedings of the Fourth Atmospheric Radiation Measurement (ARM) Science Team Meeting; PB: 373 p.
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 54 ENVIRONMENTAL SCIENCES; CLOUDS; DIFFUSION; MULTIPLE SCATTERING; RADIANT HEAT TRANSFER; CALCULATION METHODS; CLIMATE MODELS; SCALING; GENERAL CIRCULATION MODELS
Citation Formats
Silas, P, Broesamlen, G, Lovejoy, S, Naud, C, Schertzer, D, and Watson, B. Radiation singularities, multiple scattering and diffusion in multifractal clouds. United States: N. p., 1995.
Web.
Silas, P, Broesamlen, G, Lovejoy, S, Naud, C, Schertzer, D, & Watson, B. Radiation singularities, multiple scattering and diffusion in multifractal clouds. United States.
Silas, P, Broesamlen, G, Lovejoy, S, Naud, C, Schertzer, D, and Watson, B. 1995.
"Radiation singularities, multiple scattering and diffusion in multifractal clouds". United States.
@article{osti_84789,
title = {Radiation singularities, multiple scattering and diffusion in multifractal clouds},
author = {Silas, P and Broesamlen, G and Lovejoy, S and Naud, C and Schertzer, D and Watson, B},
abstractNote = {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.},
doi = {},
url = {https://www.osti.gov/biblio/84789},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Sat Apr 01 00:00:00 EST 1995},
month = {Sat Apr 01 00:00:00 EST 1995}
}