THE SLICE BALANCE APPROACH USING AN ADAPTIVE-WEIGHTED CLOSURE

THE SLICE BALANCE APPROACH USING AN ADAPTIVE-WEIGHTED CLOSURE

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...

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Bibliographic Details
Main Author: Hackemack Michael W.
Format: Article
Language:English
Published: EDP Sciences 2021-01-01
Series:EPJ Web of Conferences
Subjects:
radiation transport
slice balance approach
nonlinear closure
positivity preserving
Online Access:https://www.epj-conferences.org/articles/epjconf/pdf/2021/01/epjconf_physor2020_03005.pdf
Description
Summary: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.
ISSN:2100-014X

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