A flux-corrected RBF-FD method for convection dominated problems in domains and on manifolds

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dc.contributor.authorSokolov, Andriy
dc.contributor.authorDavydov, Oleg
dc.contributor.authorKuzmin, Dmitri
dc.contributor.authorWestermann, Alexander
dc.contributor.authorTurek, Stefan
dc.date.accessioned2018-06-12T08:52:16Z
dc.date.available2018-06-12T08:52:16Z
dc.date.issued2018-06
dc.description.abstractIn this article we introduce a FCT stabilized Radial Basis Function (RBF)-Finite Difference (FD) method for the numerical solution of convection dominated problems. The proposed algorithm is designed to maintain mass conservation and to guarantee positivity of the solution for an almost random placement of scattered data nodes. The method can be applicable both for problems defined in a domain or if equipped with level set techniques, on a stationary manifold. We demonstrate the numerical behavior of the method by performing numerical tests for the solid-body rotation benchmark in a unit square and for a transport problem along a curve implicitly prescribed by a level set function. Extension of the proposed method to higher dimensions is straightforward and easily realizable.en
dc.identifier.issn2190-1767
dc.identifier.urihttp://hdl.handle.net/2003/36905
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-18904
dc.language.isoen
dc.relation.ispartofseriesErgebnisberichte des Instituts für Angewandte Mathematik;587de
dc.subjectflux correctionen
dc.subjectradial basis functionsen
dc.subjectgeneralized finite differencesen
dc.subjectlevel seten
dc.subjectconvection dominated problemsen
dc.subject.ddc610
dc.titleA flux-corrected RBF-FD method for convection dominated problems in domains and on manifoldsen
dc.typeText
dc.type.publicationtypepreprint
dcterms.accessRightsopen access
eldorado.secondarypublicationfalse

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