Modified δ-M Scaling Results for Mie-Anisotropic Scattering Media

[+] Author and Article Information
T.-K. Kim, H. S. Lee

University of Minnesota, Department of Mechanical Engineering, Minneapolis, MN 55455

J. Heat Transfer 112(4), 988-994 (Nov 01, 1990) (7 pages) doi:10.1115/1.2910510 History: Received September 26, 1989; Revised February 13, 1990; Online May 23, 2008


A modified δ-M scaling method, which adjusts the δ-M scaled phase functions to be always positive, is applied to radiative transfer problems in two-dimensional square enclosures. The scaled anisotropic results are compared with the results obtained from an accurate model of the full anisotropic scattering problems using the S-N discrete ordinates method. The modified δ-M anisotropic scaling is shown to improve the isotropic scaled results of a collimated incidence problem, but the required number of terms increases as the phase function complexity and the asymmetry factor increase. For the diffuse incidence problems, even a low-order modified δ-M phase function significantly improves the accuracy of scaled solutions over the isotropic scaling. Significant savings in the computer times are observed when the modified δ-M method is applied.

Copyright © 1990 by The American Society of Mechanical Engineers
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