A generalized alternating-direction implicit scheme for incompressible magnetohydrodynamic viscous flows at low magnetic Reynolds number

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dc.contributor.authorNavarro, Helio Aparecido
dc.contributor.authorCabezas-Gomez, Luben
dc.contributor.authorda Silva, Renato Cesar
dc.contributor.authorMontagnoli, Arlindo Neto
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Federal de Mato Grosso do Sul (UFMS)
dc.date.accessioned2014-02-26T17:29:57Z
dc.date.accessioned2014-05-20T14:16:06Z
dc.date.available2014-02-26T17:29:57Z
dc.date.available2014-05-20T14:16:06Z
dc.date.issued2007-06-15
dc.description.abstractThis paper presents numerical simulations of incompressible fluid flows in the presence of a magnetic field at low magnetic Reynolds number. The equations governing the flow are the Navier-Stokes equations of fluid motion coupled with Maxwell's equations of electromagnetics. The study of fluid flows under the influence of a magnetic field and with no free electric charges or electric fields is known as magnetohydrodynamics. The magnetohydrodynamics approximation is considered for the formulation of the non-dimensional problem and for the characterization of similarity parameters. A finite-difference technique is used to discretize the equations. In particular, an extension of the generalized Peaceman and Rachford alternating-direction implicit (ADI) scheme for simulating two-dimensional fluid flows is presented. The discretized conservation equations are solved in stream function-vorticity formulation. We compare the ADI and generalized ADI schemes, and show that the latter is more efficient in simulating low Reynolds number and magnetic Reynolds number problems. Numerical results demonstrating the applicability of this technique are also presented. The simulation of incompressible magneto hydrodynamic fluid flows is illustrated by numerical solution for two-dimensional cases. (c) 2007 Elsevier B.V. All rights reserved.en
dc.description.affiliationUniv Estadual Paulista, Inst Geociencias & Ciências Exatas, Dept Estatist Matemat Aplicada & Comp, BR-13506700 Rio Claro, SP, Brazil
dc.description.affiliationUniv São Paulo, Escola Engn Sao Carlos, Dept Engn Mecan, BR-13566590 Sao Carlos, SP, Brazil
dc.description.affiliationUniv Fed Mato Grosso do Sul, Dept Ciências Exatas, BR-79620080 Tres Lagoas, MS, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Inst Geociencias & Ciências Exatas, Dept Estatist Matemat Aplicada & Comp, BR-13506700 Rio Claro, SP, Brazil
dc.format.extent1601-1613
dc.identifierhttp://dx.doi.org/10.1016/j.amc.2006.12.033
dc.identifier.citationApplied Mathematics and Computation. New York: Elsevier B.V., v. 189, n. 2, p. 1601-1613, 2007.
dc.identifier.doi10.1016/j.amc.2006.12.033
dc.identifier.issn0096-3003
dc.identifier.urihttp://hdl.handle.net/11449/24838
dc.identifier.wosWOS:000247699100056
dc.language.isoeng
dc.publisherElsevier B.V.
dc.relation.ispartofApplied Mathematics and Computation
dc.relation.ispartofjcr2.300
dc.relation.ispartofsjr1,065
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectalternating-direction implicit schemept
dc.subjectstream function-vorticity-current densitypt
dc.subjectMHDpt
dc.titleA generalized alternating-direction implicit scheme for incompressible magnetohydrodynamic viscous flows at low magnetic Reynolds numberen
dc.typeArtigo
dcterms.licensehttp://www.elsevier.com/about/open-access/open-access-policies/article-posting-policy
dcterms.rightsHolderElsevier B.V.
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Geociências e Ciências Exatas, Rio Claropt

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Artigos - Estatistica, Matemática Aplicada e Computação - IGCE