https://doi.org/10.1051/epjconf/202124704018
A SEMI-ANALYTIC EIGENVALUE EXTENSION TO THE DOPPLER SLAB ANALYTIC BENCHMARK1
Naval Nuclear Laboratory PO Box 1072 Schenectady, NY 12031
kyle.remley@unnpp.gov
david.griesheimer@unnpp.gov
1 This manuscript has been authored by Fluor Marine Propulsion under contract No. DOE-89233018CNR000004 with the U.S. Department of Energy. The United States government retains and the publisher, by accepting this article for publication, acknowledges that the United States Government retains a non-exclusive, paid-up, irrevocable, and world-wide license to publish, distribute, translate, duplicate, exhibit, and perform the published form of this manuscript, or allow others to do so, for United States Government purposes.
Published online: 22 February 2021
Advancement in multiphysics simulation has motivated interest in availability of analytic and semi-analytic benchmark solutions. These solutions are sought because they can be used to assess the accuracy of complicated numerical schemes necessary to simulate coupled physics systems. While there exist analytic solutions for fixed-source problems, benchmark-quality eigenvalue solutions are of interest because eigenvalue problems more closely align with analyses undertaken with coupled solvers. This paper extends a fixed-source benchmark, the Doppler Slab benchmark, to the eigenvalue case. A novel solution for this benchmark is derived. Numerical implementation of the benchmark is demonstrated through verification of numerical computation of the power reactivity coefficient.
Key words: Benchmark / Analytic / Monte Carlo / Multiphysics / Doppler Broadening
© The Authors, published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
