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Multimode flux-limited diffusion theory

Published online by Cambridge University Press:  09 March 2009

G. C. Pomraning
G. C. Pomraning
Affiliation:
School of Engineering and Applied Science, University of California, Los Angeles, Los Angeles, CA 90024–1597
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Abstract

We present a diffusion approximation describing the flow of thermal radiation that preserves several important features of the underlying equation of radiative transfer. Specifically, this diffusion description: (1) is flux limited; (2) reduces to the correct transport weak gradient limit; (3) allows correct and simultaneous exponential growth and Decay for a certain class of problems; (4) gives correct transport results for certain contiguous half-space problems; and (5) allows the radiative flux and the gradient of the radiation energy density to point in independent directions. This treatment extends and generalizes earlier flux-limited diffusion approximations that are widely used in radiation–hydrodynamics calculations.

Type
Research Article
Information
Laser and Particle Beams , Volume 10 , Issue 2 , June 1992 , pp. 239 - 251
Copyright
Copyright © Cambridge University Press 1992

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References

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