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dc.creatorChidyagwai, P
dc.creatorFrank, M
dc.creatorSchneider, F
dc.creatorSeibold, B
dc.date.accessioned2020-12-09T21:47:23Z
dc.date.available2020-12-09T21:47:23Z
dc.date.issued2018-11-01
dc.identifier.issn0377-0427
dc.identifier.issn1879-1778
dc.identifier.doihttp://dx.doi.org/10.34944/dspace/4200
dc.identifier.otherGL1WQ (isidoc)
dc.identifier.urihttp://hdl.handle.net/20.500.12613/4218
dc.description.abstract© 2018 Elsevier B.V. The M1 minimum entropy moment system is a system of hyperbolic balance laws that approximates the radiation transport equation, and has many desirable properties. Among them are symmetric hyperbolicity, entropy decay, moment realizability, and correct behavior in the diffusion and free-streaming limits. However, numerical difficulties arise when approximating the solution of the M1 model by high order numerical schemes; namely maintaining the realizability of the numerical solution and controlling spurious oscillations. In this paper, we extend a previously constructed one-dimensional realizability limiting strategy to 2D. In addition, we perform a numerical study of various combinations of the realizability limiter and the TVBM local slope limiter on a third order Discontinuous Galerkin (DG) scheme on both triangular and rectangular meshes. In several test cases, we demonstrate that in general, a combination of the realizability limiter and a TVBM limiter is necessary to obtain a robust and accurate numerical scheme. Our code is published so that all results can be reproduced by the reader.
dc.format.extent399-418
dc.language.isoen
dc.relation.haspartJournal of Computational and Applied Mathematics
dc.relation.isreferencedbyElsevier BV
dc.rightsAll Rights Reserved
dc.subjectDiscontinuous Galerkin
dc.subjectMoment models
dc.subjectMinimum entropy
dc.subjectRealizability limiter
dc.titleA comparative study of limiting strategies in discontinuous Galerkin schemes for the M<inf>1</inf> model of radiation transport
dc.typeArticle
dc.type.genrePre-print
dc.relation.doi10.1016/j.cam.2018.04.017
dc.ada.noteFor Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
dc.date.updated2020-12-09T21:47:21Z
refterms.dateFOA2020-12-09T21:47:24Z


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