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arXiv · 1610.04314

Simplified P$_N$ Equations for Nonclassical Transport with Isotropic Scattering

R. Vasques·R. N. Slaybaugh
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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$_N$ equations under the assumption of classical transport, and therefore are labeled nonclassical SP$_N$ equations. In addition, the nonclassical SP$_N$ equations can be manipulated into a classical form with modified parameters, which can be implemented in existing SP$_N$ codes. Numerical results are presented for an one-dimensional random periodic system, validating the theoretical predictions.

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BibTeXRIS

R. Vasques, R. N. Slaybaugh. 2016-10-14. Simplified P$_N$ Equations for Nonclassical Transport with Isotropic Scattering. https://arxiv.org/abs/1610.04314

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