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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.identifier.citationApplied Mathematics and Computation. New York: Elsevier B.V., v. 189, n. 2, p. 1601-1613, 2007.
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.publisherElsevier B.V.
dc.relation.ispartofApplied Mathematics and Computation
dc.sourceWeb of Science
dc.subjectalternating-direction implicit schemept
dc.subjectstream function-vorticity-current densitypt
dc.titleA generalized alternating-direction implicit scheme for incompressible magnetohydrodynamic viscous flows at low magnetic Reynolds numberen
dcterms.rightsHolderElsevier B.V.
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Federal de Mato Grosso do Sul (UFMS)
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.rights.accessRightsAcesso restrito
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Geociências e Ciências Exatas, Rio Claropt
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