[Submitted on 14 Oct 2016]
Simplified P Equations for Nonclassical Transport with Isotropic Scattering
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.
- Comments:
- 24 pages, 1 figure, to appear in Proceedings of M&C2017: Int. Conf. on Mathematics & Computational Methods Applied to Nuclear Science & Engineering
- Subjects:
- Nuclear Theory (nucl-th); Mathematical Physics (math-ph); math.MP (math.MP)
- arXiv:
- 1610.04314 [pdf]