Spatial discretizations for self-adjoint forms of the radiative transfer equations
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Morel, JE | - |
dc.contributor.author | Adams, BT | - |
dc.contributor.author | Noh, T | - |
dc.contributor.author | McGhee, JM | - |
dc.contributor.author | Evans, TM | - |
dc.contributor.author | Urbatsch, TJ | - |
dc.date.accessioned | 2022-02-07T05:42:13Z | - |
dc.date.available | 2022-02-07T05:42:13Z | - |
dc.date.created | 2022-02-07 | - |
dc.date.issued | 2006-05-01 | - |
dc.identifier.issn | 0021-9991 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/24555 | - |
dc.description.abstract | There are three commonly recognized second-order self-adjoint forms of the neutron transport equation: the even-parity equations, the odd-parity equations, and the self-adjoint angular flux equations. Because all of these equations contain second-order spatial derivatives and are self-adjoint for the mono-energetic case, standard continuous finite-element discretization techniques have proved quite effective when applied to the spatial variables. We first derive analogs of these equations for the case of time-dependent radiative transfer. The primary unknowns for these equations are functions of the angular intensity rather than the angular flux, hence the analog of the self-adjoint angular flux equation is referred to as the self-adjoint angular intensity equation. Then we describe a general, arbitrary-order, continuous spatial finite-element approach that is applied to each of the three equations in conjunction with backward-Euler differencing in time. We refer to it as the "standard" technique. We also introduce an alternative spatial discretization scheme for the self-adjoint angular intensity equation that requires far fewer unknowns than the standard method, but appears to give comparable accuracy. Computational results are given that demonstrate the validity of both of these discretization schemes. (c) 2005 Elsevier Inc. All rights reserved. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject | MULTIGROUP NEUTRON-TRANSPORT | - |
dc.subject | EVEN-PARITY | - |
dc.subject | ANISOTROPIC SCATTERING | - |
dc.subject | APPROXIMATION | - |
dc.subject | GEOMETRY | - |
dc.title | Spatial discretizations for self-adjoint forms of the radiative transfer equations | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Noh, T | - |
dc.identifier.doi | 10.1016/j.jcp.2005.09.017 | - |
dc.identifier.scopusid | 2-s2.0-33644528132 | - |
dc.identifier.wosid | 000236417400002 | - |
dc.identifier.bibliographicCitation | JOURNAL OF COMPUTATIONAL PHYSICS, v.214, no.1, pp.12 - 40 | - |
dc.relation.isPartOf | JOURNAL OF COMPUTATIONAL PHYSICS | - |
dc.citation.title | JOURNAL OF COMPUTATIONAL PHYSICS | - |
dc.citation.volume | 214 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 12 | - |
dc.citation.endPage | 40 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Computer Science | - |
dc.relation.journalResearchArea | Physics | - |
dc.relation.journalWebOfScienceCategory | Computer Science, Interdisciplinary Applications | - |
dc.relation.journalWebOfScienceCategory | Physics, Mathematical | - |
dc.subject.keywordPlus | MULTIGROUP NEUTRON-TRANSPORT | - |
dc.subject.keywordPlus | EVEN-PARITY | - |
dc.subject.keywordPlus | ANISOTROPIC SCATTERING | - |
dc.subject.keywordPlus | APPROXIMATION | - |
dc.subject.keywordPlus | GEOMETRY | - |
dc.subject.keywordAuthor | thermal radiation transport | - |
dc.subject.keywordAuthor | self-adjoint equations | - |
dc.subject.keywordAuthor | finite-elements | - |
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
94, Wausan-ro, Mapo-gu, Seoul, 04066, Korea02-320-1314
COPYRIGHT 2020 HONGIK UNIVERSITY. ALL RIGHTS RESERVED.
Certain data included herein are derived from the © Web of Science of Clarivate Analytics. All rights reserved.
You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.