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Numerical simulations of vortices near free and solid surfaces

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dc.contributor.authorLuton, J. Alanen
dc.contributor.committeechairRagab, Saad A.en
dc.contributor.committeememberTelionis, Demetri P.en
dc.contributor.committeememberMook, Dean T.en
dc.contributor.committeememberNayfeh, Ali H.en
dc.contributor.committeememberDevenport, William J.en
dc.contributor.departmentEngineering Mechanicsen
dc.date.accessioned2014-03-14T21:20:21Zen
dc.date.adate2007-10-05en
dc.date.available2014-03-14T21:20:21Zen
dc.date.issued1996-08-05en
dc.date.rdate2007-10-05en
dc.date.sdate2007-10-05en
dc.description.abstractThe interaction of vortices passing near free and solid surfaces has been examined using direct numerical simulation (DNS). A computer code was developed which solves the unsteady, three-dimensional Navier-Stokes equations for incompressible flow. A critical element of the numerical scheme is the efficient solution of Poisson's equation. A state of the art solver based on multigrid techniques was developed which gives excellent convergence rates. The result is a tool capable of modeling complex three-dimensional flows in a variety of configurations. Three different flow fields have been examined in order to determine some of the complex interactions involved between a vortex and a surface. The first concerns the two-dimensional interaction between a boundary layer and a convecting vortex. The size and height above the wall of the vortex are the same order of magnitude as the boundary layer thickness. A strong primary vortex creates a secondary vortex which causes the rebound of the primary, a response observed in many previous studies. However, weaker vortices as well do not follow the inviscid trajectory despite the absence of a secondary vortex. Rather than creating vorticity at the wall, a weaker vortex mainly redistributes the vorticity of the boundary layer. The redistributed vorticity alters the path of the vortex in ways not seen for vortex/wall interactions.en
dc.description.degreePh. D.en
dc.format.extentxiv, 178 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-10052007-143040en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-10052007-143040/en
dc.identifier.urihttp://hdl.handle.net/10919/39631en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V856_1996.L886.pdfen
dc.relation.isformatofOCLC# 35838395en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectshort wavelength instabilityen
dc.subjectCrow instabilityen
dc.subjectvortex rebounden
dc.subjectmulti-griden
dc.subjectairplane wakesen
dc.subject.lccLD5655.V856 1996.L886en
dc.titleNumerical simulations of vortices near free and solid surfacesen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineEngineering Mechanicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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