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arXiv · 1507.01676

An Approximate $M_2$ Model for Radiative Transfer in Slab Geometry

Graham Alldredge·Ruo Li·Weiming Li
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Abstract

We propose an approximate second order maximum entropy ($M_2$) model for radiative transfer in slab geometry. The model is based on the ansatz of the specific intensity in the form of a $\Beta$-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 $M_2$ 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 $M_2$ model.

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Graham Alldredge, Ruo Li, Weiming Li. 2015-07-07. An Approximate $M_2$ Model for Radiative Transfer in Slab Geometry. https://arxiv.org/abs/1507.01676

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