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A hierarchy of nonlocal models for the radiative transfer equation

  • J.-L. FEUGEAS (a1)

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.

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Corresponding author

Address correspondence and reprint requests to: J.-L. Feugeas, Centre Lasers Intenses et Applications, UMR 5107 CEA–CNRS, Université de Bordeaux 1, 33405 Talence Cedex, France. E-mail: feugeas@celia.u-bordeaux.fr

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A hierarchy of nonlocal models for the radiative transfer equation

  • J.-L. FEUGEAS (a1)

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