Adjusted Levermore-Pomraning equations for diffusive random systems in slab geometry
Abstract
This paper presents a multiple length-scale asymptotic analysis for transport problems in 1-D diffusive random media. This analysis shows that the Levermore-Pomraning (LP) equations can be adjusted in order to achieve the correct asymptotic behavior. This adjustment appears in the form of a rescaling of the Markov transition functions by a factor , which can be chosen in a simple way. Numerical results are given that (i) validate the theoretical predictions; and (ii) show that the adjusted LP equations greatly outperform the standard LP model for this class of transport problems.
Cite
@article{arxiv.1408.2797,
title = {Adjusted Levermore-Pomraning equations for diffusive random systems in slab geometry},
author = {Richard Vasques and Nitin K. Yadav},
journal= {arXiv preprint arXiv:1408.2797},
year = {2015}
}
Comments
V.2.: We have added around 7 pages of new text; three new sets of numerical results; 6 new figures; and two new references [13, 17]. Current version has 18 pages, 10 figures. The changes correspond to an expansion of Sections 3 and 4. Section 3 now has more detailed and complete analysis; Section 4 has new numerical results