Projection methods for incompressible flow problems with WENO finite difference schemes

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dc.bibliographicCitation.volume2171
dc.contributor.authorFrutos, Javier de
dc.contributor.authorJohn, Volker
dc.contributor.authorNovo, Julia
dc.date.accessioned2016-12-13T10:46:51Z
dc.date.available2019-06-28T08:26:07Z
dc.date.issued2015
dc.description.abstractWeighted essentially non-oscillatory (WENO) finite difference schemes have been recommended in a competitive study of discretizations for scalar evolutionary convectiondiffusion equations [?]. This paper explores the applicability of these schemes for the simulation of incompressible flows. To this end, WENO schemes are used in several nonincremental and incremental projection methods for the incompressible Navier-Stokes equations. Velocity and pressure are discretized on the same grid. A pressure stabilization Petrov-Galerkin (PSPG) type of stabilization is introduced in the incremental schemes to account for the violation of the discrete inf-sup condition. Algorithmic aspects of the proposed schemes are discussed. The schemes are studied on several examples with different features. It is shown that the WENO finite difference idea can be transferred to the simulation of incompressible flows. Some shortcomings of the methods, which are due to the splitting in projection schemes, become also obvious.
dc.description.versionpublishedVersioneng
dc.formatapplication/pdf
dc.identifier.issn2198-5855
dc.identifier.urihttps://doi.org/10.34657/3030
dc.identifier.urihttps://oa.tib.eu/renate/handle/123456789/3471
dc.language.isoengeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
dc.relation.ispartofseriesPreprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 2171, ISSN 2198-5855eng
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.ger
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.eng
dc.subjectIncompressible Navier–Stokes equations
dc.subjectfinite difference
dc.subjectWENO schemes
dc.subjectnonincremental projection methods
dc.subjectincremental projection methods
dc.subjectPSPG-type stabilization
dc.subject.ddc510
dc.titleProjection methods for incompressible flow problems with WENO finite difference schemes
dc.typereporteng
dc.typeTexteng
dcterms.bibliographicCitation.journalTitlePreprint / Weierstraß-Institut für Angewandte Analysis und Stochastikeng
tib.accessRightsopenAccesseng
wgl.contributorWIASeng
wgl.subjectMathematikeng
wgl.typeReport / Forschungsbericht / Arbeitspapiereng
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