TY - JOUR
T1 - Derivation of a Non-Local Model for Diffusion Asymptotics — Application to Radiative Transfer Problems
AU - C. Besse & T. Goudon
JO - Communications in Computational Physics
VL - 5
SP - 1139
EP - 1182
PY - 2010
DA - 2010/08
SN - 8
DO - http://doi.org/10.4208/cicp.211009.100310a
UR - https://global-sci.org/intro/article_detail/cicp/7611.html
KW - 
AB - <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>