Simplified P$_N$ Equations for Nonclassical Transport with Isotropic Scattering
Nuclear Theory
2017-02-10 v2 Mathematical Physics
math.MP
Abstract
An asymptotic analysis is used to derive a set of diffusion approximations to the nonclassical transport equation with isotropic scattering. These approximations are shown to reduce to the simplified P equations under the assumption of classical transport, and therefore are labeled nonclassical SP equations. In addition, the nonclassical SP equations can be manipulated into a classical form with modified parameters, which can be implemented in existing SP codes. Numerical results are presented for an one-dimensional random periodic system, validating the theoretical predictions.
Cite
@article{arxiv.1610.04314,
title = {Simplified P$_N$ Equations for Nonclassical Transport with Isotropic Scattering},
author = {R. Vasques and R. N. Slaybaugh},
journal= {arXiv preprint arXiv:1610.04314},
year = {2017}
}
Comments
24 pages, 1 figure, to appear in Proceedings of M&C2017: Int. Conf. on Mathematics & Computational Methods Applied to Nuclear Science & Engineering