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dc.creatorSchmidtmann, B
dc.creatorSeibold, B
dc.creatorTorrilhon, M
dc.date.accessioned2021-02-03T16:56:24Z
dc.date.available2021-02-03T16:56:24Z
dc.date.issued2016-08-01
dc.identifier.issn0885-7474
dc.identifier.issn1573-7691
dc.identifier.doihttp://dx.doi.org/10.34944/dspace/5738
dc.identifier.otherDQ6QH (isidoc)
dc.identifier.urihttp://hdl.handle.net/20.500.12613/5756
dc.description.abstract© 2015, Springer Science+Business Media New York. Weighted essentially non-oscillatory (WENO) and finite volume (FV) methods employ different philosophies in their way to perform limiting. We show that a generalized view on limiter functions, which considers a two-dimensional, rather than a one-dimensional dependence on the slopes in neighboring cells, allows to write WENO3 and 3rd-order FV schemes in the same fashion. Within this framework, it becomes apparent that the classical approach of FV limiters to only consider ratios of the slopes in neighboring cells, is overly restrictive. The hope of this new perspective is to establish new connections between WENO3 and FV limiter functions, which may give rise to improvements for the limiting behavior in both approaches.
dc.format.extent624-652
dc.language.isoen
dc.relation.haspartJournal of Scientific Computing
dc.relation.isreferencedbySpringer Science and Business Media LLC
dc.subjectNon-linear and non-polynomial limiter
dc.subjectWENO
dc.subjectFinite volume
dc.subjectHyperbolic conservation laws
dc.subjectShock capturing
dc.titleRelations Between WENO3 and Third-Order Limiting in Finite Volume Methods
dc.typeArticle
dc.type.genreJournal Article
dc.relation.doi10.1007/s10915-015-0151-z
dc.ada.noteFor Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
dc.date.updated2021-02-03T16:56:21Z
refterms.dateFOA2021-02-03T16:56:24Z


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