Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-8856
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dc.contributor.authorAbali, Bilen Emek-
dc.date.accessioned2019-08-20T12:10:25Z-
dc.date.available2019-08-20T12:10:25Z-
dc.date.issued2019-01-08-
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/9835-
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-8856-
dc.description.abstractDespite its numerical challenges, finite element method is used to compute viscous fluid flow. A consensus on the cause of numerical problems has been reached; however, general algorithms—allowing a robust and accurate simulation for any process—are still missing. Either a very high computational cost is necessary for a direct numerical solution (DNS) or some limiting procedure is used by adding artificial dissipation to the system. These stabilization methods are useful; however, they are often applied relative to the element size such that a local monotonous convergence is challenging to acquire. We need a computational strategy for solving viscous fluid flow using solely the balance equations. In this work, we present a general procedure solving fluid mechanics problems without use of any stabilization or splitting schemes. Hence, its generalization to multiphysics applications is straightforward. We discuss emerging numerical problems and present the methodology rigorously. Implementation is achieved by using open-source packages and the accuracy as well as the robustness is demonstrated by comparing results to the closed-form solutions and also by solving well-known benchmarking problems.en
dc.language.isoenen
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en
dc.subject.ddc600 Technik, Technologiede
dc.subject.otherfinite element methoden
dc.subject.otherfluid dynamicsen
dc.subject.othercomputationen
dc.subject.otherviscous fluid flowen
dc.titleAn Accurate Finite Element Method for the Numerical Solution of Isothermal and Incompressible Flow of Viscous Fluiden
dc.typeArticleen
dc.date.updated2019-08-09T23:55:20Z-
tub.accessrights.dnbfreeen
tub.publisher.universityorinstitutionTechnische Universität Berlinen
dc.identifier.eissn2311-5521-
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.doi10.3390/fluids4010005en
dcterms.bibliographicCitation.journaltitleFluidsen
dcterms.bibliographicCitation.originalpublisherplaceBaselen
dcterms.bibliographicCitation.volume4en
dcterms.bibliographicCitation.originalpublishernameMDPIen
dcterms.bibliographicCitation.issue1en
dcterms.bibliographicCitation.articlenumber5en
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