@inproceedings{7a627dcb12434e3bb7611c581a1294ff,
title = "EXTENSION OF SHMAKOV'S SIMPLE BACK AND FORTH NEUTRON TRANSPORT MODEL TO MULTI-REGIONS",
abstract = "In this presentation, we consider the work of V.M. Shmakov [1] concerning the two stream (back and forth) monoenergetic 1D transport approximation in a critical spherical reactor. The primary focus of Shmakov's work is the development of a simple analytical neutron transport model to serve as a benchmark to provide a high quality, straightforward numerical comparison to Monte Carlo. The formulation differs from diffusion theory in that there is no diffusion of neutrons streaming away from and toward the spherical center. Curiously, however, a mathematically equivalent diffusion equation completely analogues to diffusion in plane geometry emerges. Nevertheless, the physical contexts are different. The mathematical equivalence however does enable an extension of Shmakov's model to heterogeneous media.",
keywords = "Heterogeneous media, Neutron transport, Spherical geometry, Two stream",
author = "B. Ganapol and D. Heinrichs",
note = "Publisher Copyright: Copyright {\textcopyright} 2021 AMERICAN NUCLEAR SOCIETY, INCORPORATED, LA GRANGE PARK, ILLINOIS 60526.All rights reserved.; 2021 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2021 ; Conference date: 03-10-2021 Through 07-10-2021",
year = "2021",
doi = "10.13182/M&C21-33848",
language = "English (US)",
series = "Proceedings of the International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2021",
publisher = "American Nuclear Society",
pages = "1352--1361",
booktitle = "Proceedings of the International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering, M and C 2021",
}