The Finite Element Method for Mhd Flow at High Hartmann Numbers

dc.contributor.author Neslitürk, Ali İhsan
dc.contributor.author Tezer, Münevver
dc.coverage.doi 10.1016/j.cma.2004.06.035
dc.date.accessioned 2016-07-27T07:43:23Z
dc.date.available 2016-07-27T07:43:23Z
dc.date.issued 2005
dc.description.abstract A stabilized finite element method using the residual-free bubble functions (RFB) is proposed for solving the governing equations of steady magnetohydrodynamic duct flow. A distinguished feature of the RFB method is the resolving capability of high gradients near the layer regions without refining mesh. We show that the RFB method is stable by proving that the numerical method is coercive even not only at low values but also at moderate and high values of the Hartmann number. Numerical results confirming theoretical findings are presented for several configurations of interest. The approximate solution obtained by the RFB method is also compared with the analytical solution of Shercliff's problem. en_US
dc.identifier.citation Neslitürk, A.İ., and Tezer, M. (2005). The finite element method for MHD flow at high Hartmann numbers. Computer Methods in Applied Mechanics and Engineering, 194(9-11), 1201-1224. doi:10.1016/j.cma.2004.06.035 en_US
dc.identifier.doi 10.1016/j.cma.2004.06.035 en_US
dc.identifier.doi 10.1016/j.cma.2004.06.035
dc.identifier.issn 0045-7825
dc.identifier.issn 0045-7825
dc.identifier.scopus 2-s2.0-12344265853
dc.identifier.uri https://doi.org/10.1016/j.cma.2004.06.035
dc.identifier.uri https://hdl.handle.net/11147/1983
dc.language.iso en en_US
dc.publisher Elsevier Ltd. en_US
dc.relation.ispartof Computer Methods in Applied Mechanics and Engineering en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject Finite element method en_US
dc.subject Functions en_US
dc.subject Linear equations en_US
dc.subject MHD flow en_US
dc.subject Number theory en_US
dc.subject Stabilized FEM en_US
dc.title The Finite Element Method for Mhd Flow at High Hartmann Numbers en_US
dc.type Article en_US
dspace.entity.type Publication
gdc.author.institutional Neslitürk, Ali İhsan
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gdc.coar.access open access
gdc.coar.type text::journal::journal article
gdc.collaboration.industrial false
gdc.description.department İzmir Institute of Technology. Mathematics en_US
gdc.description.endpage 1224 en_US
gdc.description.issue 9-11 en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality Q1
gdc.description.startpage 1201 en_US
gdc.description.volume 194 en_US
gdc.description.wosquality Q1
gdc.identifier.openalex W2148394165
gdc.identifier.wos WOS:000226931600014
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gdc.oaire.keywords Finite element method
gdc.oaire.keywords Number theory
gdc.oaire.keywords Functions
gdc.oaire.keywords MHD flow
gdc.oaire.keywords Linear equations
gdc.oaire.keywords Stabilized FEM
gdc.oaire.popularity 1.7563295E-8
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gdc.oaire.sciencefields 0103 physical sciences
gdc.oaire.sciencefields 0101 mathematics
gdc.oaire.sciencefields 01 natural sciences
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gdc.opencitations.count 61
gdc.plumx.crossrefcites 40
gdc.plumx.mendeley 13
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gdc.scopus.citedcount 67
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