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http://acervodigital.unesp.br/handle/11449/65232
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DC Field | Value | Language |
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dc.contributor.author | Mancera, P. F. D. A. | - |
dc.contributor.author | Hunt, R. | - |
dc.date.accessioned | 2014-05-27T11:18:17Z | - |
dc.date.accessioned | 2016-10-25T18:14:41Z | - |
dc.date.available | 2014-05-27T11:18:17Z | - |
dc.date.available | 2016-10-25T18:14:41Z | - |
dc.date.issued | 1997-11-30 | - |
dc.identifier | http://dx.doi.org/10.1002/(SICI)1097-0363(19971130)25:10<1119::AID-FLD610>3.0.CO;2-4 | - |
dc.identifier | http://onlinelibrary.wiley.com/doi/10.1002/%28SICI%291097-0363%2819971130%2925:10%3C1119::AID-FLD610%3E3.0.CO;2-4/abstract | - |
dc.identifier.citation | International Journal for Numerical Methods in Fluids, v. 25, n. 10, p. 1119-1135, 1997. | - |
dc.identifier.issn | 0271-2091 | - |
dc.identifier.uri | http://hdl.handle.net/11449/65232 | - |
dc.identifier.uri | http://acervodigital.unesp.br/handle/11449/65232 | - |
dc.description.abstract | A 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.extent | 1119-1135 | - |
dc.language.iso | eng | - |
dc.source | Scopus | - |
dc.subject | Fourth-order methods | - |
dc.subject | Navier-Stokes equations | - |
dc.subject | Boundary conditions | - |
dc.subject | Channel flow | - |
dc.subject | Error analysis | - |
dc.subject | Iterative methods | - |
dc.subject | Navier Stokes equations | - |
dc.subject | Nonlinear equations | - |
dc.subject | Problem solving | - |
dc.subject | Reynolds number | - |
dc.subject | Vortex flow | - |
dc.subject | Fourth order method | - |
dc.subject | Newton iteration | - |
dc.subject | Computational fluid dynamics | - |
dc.subject | channel | - |
dc.subject | fluid flow | - |
dc.subject | vorticity | - |
dc.subject | channel flow | - |
dc.subject | fourth-order methods | - |
dc.title | Fourth-order method for solving the Navier-Stokes equations in a constricting channel | en |
dc.type | outro | - |
dc.contributor.institution | Strathclyde University | - |
dc.contributor.institution | Universidade Estadual Paulista (UNESP) | - |
dc.description.affiliation | Department of Mathematics Strathclyde University, 26 Richmond Street, Glasgow G1 1XH | - |
dc.description.affiliation | Departamento de Bioestatistica IB-UNESP, Rubiao Jn, Botucatu 18618-000 | - |
dc.description.affiliationUnesp | Departamento de Bioestatistica IB-UNESP, Rubiao Jn, Botucatu 18618-000 | - |
dc.identifier.doi | 10.1002/(SICI)1097-0363(19971130)25:10<1119::AID-FLD610>3.0.CO;2-4 | - |
dc.rights.accessRights | Acesso restrito | - |
dc.relation.ispartof | International Journal for Numerical Methods in Fluids | - |
dc.identifier.scopus | 2-s2.0-0031277562 | - |
Appears in Collections: | Artigos, TCCs, Teses e Dissertações da Unesp |
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