An Approximate $M_2$ Model for Radiative Transfer in Slab Geometry
Computational Physics
2015-07-08 v1
Abstract
We propose an approximate second order maximum entropy () model for radiative transfer in slab geometry. The model is based on the ansatz of the specific intensity in the form of a -distribution. This gives us an explicit form in its closure. The closure is very close to that of the maximum entropy, thus an approximation of the model. We prove that the new model is globally hyperbolic, sharing most of the advantages of the maximum entropy closure. Numerical examples illustrate that it provides solutions with satisfactory agreement with the model.
Cite
@article{arxiv.1507.01676,
title = {An Approximate $M_2$ Model for Radiative Transfer in Slab Geometry},
author = {Graham Alldredge and Ruo Li and Weiming Li},
journal= {arXiv preprint arXiv:1507.01676},
year = {2015}
}