https://doi.org/10.1051/epjconf/202124703005
THE SLICE BALANCE APPROACH USING AN ADAPTIVE-WEIGHTED CLOSURE
Naval Nuclear Laboratory PO Box 1072, Schenectady, NY 12301, USA
Published online: 22 February 2021
In this paper, we present a formulation of the slice balance approach using a nonlinear closure relation derived analogously from the adaptive-weighted diamond-difference form of the weighted diamond-difference method for Cartesian grids. The method yields strictly positive solutions that reduce to a standard diamond closure with fine-enough mesh granularity. It can be efficiently solved using Newton-like nonlinear iterative methods with diffusion preconditioning.
Key words: Radiation Transport / Slice Balance Approach / Nonlinear Closure / Positivity Preserving
© 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.
