@Article{CiCP-8-1139,
author = {C. Besse and T. Goudon},
title = {Derivation of a Non-Local Model for Diffusion Asymptotics — Application to Radiative Transfer Problems},
journal = {Communications in Computational Physics},
year = {2010},
volume = {8},
number = {5},
pages = {1139--1182},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.211009.100310a},
url = {http://global-sci.org/intro/article_detail/cicp/7611.html}
}