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A hierarchy of nonlocal models for the radiative transfer equation

Published online by Cambridge University Press:  01 June 2004

J.-L. FEUGEAS
J.-L. FEUGEAS
Affiliation:
Centre Lasers Intenses et Applications, UMR Commissariat à l'Energie Atomique–Centre National de la Recherche Scientifique–Université de Bordeaux 1, Talence Cedex, France
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Abstract

For the classic diffusion description of radiative transfer, the specific intensity can be represented by a small angular deviation of the local Planckian equilibrium. In a transparent media, the angular anisotropy becomes strong and one has to solve the general transfer equation. We propose a hierarchy of models that can describe the regime that lies between those two limits. Every member of this family is hyperbolic, flux-limited, and possesses a locally dissipated entropy. This hierarchy also formally recovers the diffusion limit. This study demonstrates that the two-polynomial model is already capable of capturing strong anisotropies.

Keywords

Angular anisotropyBose-Einstein theoryPhoton emissionPlanckian equilibriumRadiative transfer equation
Type
Research Article
Information
Laser and Particle Beams , Volume 22 , Issue 2 , June 2004 , pp. 121 - 127
Copyright
© 2004 Cambridge University Press

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