You are in the accessibility menu

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/65232
Full metadata record
DC FieldValueLanguage
dc.contributor.authorMancera, P. F. D. A.-
dc.contributor.authorHunt, R.-
dc.date.accessioned2014-05-27T11:18:17Z-
dc.date.accessioned2016-10-25T18:14:41Z-
dc.date.available2014-05-27T11:18:17Z-
dc.date.available2016-10-25T18:14:41Z-
dc.date.issued1997-11-30-
dc.identifierhttp://dx.doi.org/10.1002/(SICI)1097-0363(19971130)25:10<1119::AID-FLD610>3.0.CO;2-4-
dc.identifierhttp://onlinelibrary.wiley.com/doi/10.1002/%28SICI%291097-0363%2819971130%2925:10%3C1119::AID-FLD610%3E3.0.CO;2-4/abstract-
dc.identifier.citationInternational Journal for Numerical Methods in Fluids, v. 25, n. 10, p. 1119-1135, 1997.-
dc.identifier.issn0271-2091-
dc.identifier.urihttp://hdl.handle.net/11449/65232-
dc.identifier.urihttp://acervodigital.unesp.br/handle/11449/65232-
dc.description.abstractA fourth-order numerical method for solving the Navier-Stokes equations in streamfunction/vorticity formulation on a two-dimensional non-uniform orthogonal grid has been tested on the fluid flow in a constricted symmetric channel. The family of grids is generated algebraically using a conformal transformation followed by a non-uniform stretching of the mesh cells in which the shape of the channel boundary can vary from a smooth constriction to one which one possesses a very sharp but smooth corner. The generality of the grids allows the use of long channels upstream and downstream as well as having a refined grid near the sharp corner. Derivatives in the governing equations are replaced by fourth-order central differences and the vorticity is eliminated, either before or after the discretization, to form a wide difference molecule for the streamfunction. Extra boundary conditions, necessary for wide-molecule methods, are supplied by a procedure proposed by Henshaw et al. The ensuing set of non-linear equations is solved using Newton iteration. Results have been obtained for Reynolds numbers up to 250 for three constrictions, the first being smooth, the second having a moderately sharp corner and the third with a very sharp corner. Estimates of the error incurred show that the results are very accurate and substantially better than those of the corresponding second-order method. The observed order of the method has been shown to be close to four, demonstrating that the method is genuinely fourth-order. © 1977 John Wiley & Sons, Ltd.en
dc.format.extent1119-1135-
dc.language.isoeng-
dc.sourceScopus-
dc.subjectFourth-order methods-
dc.subjectNavier-Stokes equations-
dc.subjectBoundary conditions-
dc.subjectChannel flow-
dc.subjectError analysis-
dc.subjectIterative methods-
dc.subjectNavier Stokes equations-
dc.subjectNonlinear equations-
dc.subjectProblem solving-
dc.subjectReynolds number-
dc.subjectVortex flow-
dc.subjectFourth order method-
dc.subjectNewton iteration-
dc.subjectComputational fluid dynamics-
dc.subjectchannel-
dc.subjectfluid flow-
dc.subjectvorticity-
dc.subjectchannel flow-
dc.subjectfourth-order methods-
dc.titleFourth-order method for solving the Navier-Stokes equations in a constricting channelen
dc.typeoutro-
dc.contributor.institutionStrathclyde University-
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)-
dc.description.affiliationDepartment of Mathematics Strathclyde University, 26 Richmond Street, Glasgow G1 1XH-
dc.description.affiliationDepartamento de Bioestatistica IB-UNESP, Rubiao Jn, Botucatu 18618-000-
dc.description.affiliationUnespDepartamento de Bioestatistica IB-UNESP, Rubiao Jn, Botucatu 18618-000-
dc.identifier.doi10.1002/(SICI)1097-0363(19971130)25:10<1119::AID-FLD610>3.0.CO;2-4-
dc.rights.accessRightsAcesso restrito-
dc.relation.ispartofInternational Journal for Numerical Methods in Fluids-
dc.identifier.scopus2-s2.0-0031277562-
Appears in Collections:Artigos, TCCs, Teses e Dissertações da Unesp

There are no files associated with this item.
 

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.