Fourth-order method for solving the Navier-Stokes equations in a constricting channel

dc.contributorUniversidade Estadual Paulista (UNESP)
dc.creatorMancera, P. F. D. A.
dc.creatorHunt, R.
dc.date2014-05-27T11:18:17Z
dc.date2016-10-25T18:14:41Z
dc.date2014-05-27T11:18:17Z
dc.date2016-10-25T18:14:41Z
dc.date1997-11-30
dc.date.accessioned2017-04-06T00:50:30Z
dc.date.available2017-04-06T00:50:30Z
dc.identifierInternational Journal for Numerical Methods in Fluids, v. 25, n. 10, p. 1119-1135, 1997.
dc.identifier0271-2091
dc.identifierhttp://hdl.handle.net/11449/65232
dc.identifierhttp://acervodigital.unesp.br/handle/11449/65232
dc.identifier10.1002/(SICI)1097-0363(19971130)25:10<1119::AID-FLD610>3.0.CO;2-4
dc.identifier2-s2.0-0031277562
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.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/886977
dc.descriptionA 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.
dc.languageeng
dc.relationInternational Journal for Numerical Methods in Fluids
dc.rightsinfo:eu-repo/semantics/closedAccess
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 channel
dc.typeOtro


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