Open AccessK-J polar angular quadrature set for a method of characteristics based on neutrons scattering cross-sections
Author(s) -
Dong-Hoon Kim,
I Lucas Albright,
L Brittney Saenz,
Tatjana Jevremović
Publication year - 2019
Publication title -
nuclear technology and radiation protection
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.31
H-Index - 16
eISSN - 1452-8185
pISSN - 1451-3994
DOI - 10.2298/ntrp181021002k
Subject(s) - quadrature (astronomy) , tanh sinh quadrature , gauss–jacobi quadrature , neutron transport , gauss–hermite quadrature , physics , neutron , scattering , gauss–laguerre quadrature , polar , gauss–kronrod quadrature formula , nuclear physics , mathematics , mathematical analysis , optics , nyström method , integral equation , quantum mechanics
A novel polar angular quadrature set called the Kim-Jevremovic polar angular quadrature set is derived for the method of characteristics. It is based on neutron anisotropic scattering cross-sections in the Evaluated Nuclear Data File. This new set is implemented within the state-of-the-art neutron transport code AGENT and tested in comparison to MCNP6 as well as to other known quadrature sets for the UO2 unit cells, the well-known C5G7 benchmark, unreflected cylinders of uranyl-fluoride solutions in heavy water, and the University of Utah 100 kWth TRIGA MARK-I reactor core. These comparisons show that the newly proposed polar angular quadrature set provides better agreements than other quadrature sets for the lower order of anisotropic scattering expansions. This paper presents a complete derivation of the Kim-Jevremovic polar angular quadrature set and the analysis for the mentioned bench-mark examples.