Derivation of a Non-Local Model for Diffusion Asymptotics — Application to Radiative Transfer Problems

Derivation of a Non-Local Model for Diffusion Asymptotics — Application to Radiative Transfer Problems

Year:    2010

Communications in Computational Physics, Vol. 8 (2010), Iss. 5 : pp. 1139–1182

Abstract

In this paper, we introduce a moment closure which is intended to provide a macroscopic approximation of the evolution of a particle distribution function, solution of a kinetic equation. This closure is of non-local type in the sense that it involves convolution or pseudo-differential operators. We show it is consistent with the diffusion limit and we propose numerical approximations to treat the non-local terms. We illustrate how this approach can be incorporated in complex models involving a coupling with hydrodynamic equations, by treating examples arising in radiative transfer. We pay a specific attention to the conservation of the total energy by the numerical scheme.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.211009.100310a

Communications in Computational Physics, Vol. 8 (2010), Iss. 5 : pp. 1139–1182

Published online:    2010-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    44

Keywords:   

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