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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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
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spelling doaj-35ea3547873a44f991cc32aa6e9de9ba2021-08-03T00:15:56ZengEDP SciencesEPJ Web of Conferences2100-014X2021-01-012470300510.1051/epjconf/202124703005epjconf_physor2020_03005THE SLICE BALANCE APPROACH USING AN ADAPTIVE-WEIGHTED CLOSUREHackemack Michael W.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.https://www.epj-conferences.org/articles/epjconf/pdf/2021/01/epjconf_physor2020_03005.pdfradiation transportslice balance approachnonlinear closurepositivity preserving
collection DOAJ
language English
format Article
sources DOAJ
author Hackemack Michael W.
spellingShingle Hackemack Michael W.
THE SLICE BALANCE APPROACH USING AN ADAPTIVE-WEIGHTED CLOSURE
EPJ Web of Conferences
radiation transport
slice balance approach
nonlinear closure
positivity preserving
author_facet Hackemack Michael W.
author_sort Hackemack Michael W.
title THE SLICE BALANCE APPROACH USING AN ADAPTIVE-WEIGHTED CLOSURE
title_short THE SLICE BALANCE APPROACH USING AN ADAPTIVE-WEIGHTED CLOSURE
title_full THE SLICE BALANCE APPROACH USING AN ADAPTIVE-WEIGHTED CLOSURE
title_fullStr THE SLICE BALANCE APPROACH USING AN ADAPTIVE-WEIGHTED CLOSURE
title_full_unstemmed THE SLICE BALANCE APPROACH USING AN ADAPTIVE-WEIGHTED CLOSURE
title_sort slice balance approach using an adaptive-weighted closure
publisher EDP Sciences
series EPJ Web of Conferences
issn 2100-014X
publishDate 2021-01-01
description 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.
topic radiation transport
slice balance approach
nonlinear closure
positivity preserving
url https://www.epj-conferences.org/articles/epjconf/pdf/2021/01/epjconf_physor2020_03005.pdf
work_keys_str_mv AT hackemackmichaelw theslicebalanceapproachusinganadaptiveweightedclosure
AT hackemackmichaelw slicebalanceapproachusinganadaptiveweightedclosure
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