Viscous solutions for the Navier Stokes equations using an upwind finite volume technique

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dc.contributor.authorMitchell, Curtis R.en
dc.contributor.committeechairNg, Wing Faien
dc.contributor.committeememberMoses, Hal L.en
dc.contributor.committeememberBrown, Eugene F.en
dc.contributor.departmentMechanical Engineeringen
dc.date.accessioned2014-03-14T21:37:40Zen
dc.date.adate2012-06-10en
dc.date.available2014-03-14T21:37:40Zen
dc.date.issued1988-05-05en
dc.date.rdate2012-06-10en
dc.date.sdate2012-06-10en
dc.description.abstractThe process of enhancing an upwind finite volume, two-dimensional, thin layer Navier Stokes solver to achieve complete Navier Stokes solutions is described. The shear stress and heat flux contributions are identified and transformed to a generalized coordinate system. The metrics which result from the transformation have a geometrical interpretation in the finite volume formulation and are presented as supporting material. The additional terms which are neglected in the thin-layer approximations, are evaluated and discretized consistently with the finite volume method. Implicit linearizations are applied to the second derivatives tangent to the body surface; however, the cross derivatives are not linearized and are treated conservatively. Validation of the Navier Stokes solver is acquired by comparison to existing computational solutions for a double throat nozzle. Additional viscous solutions for the thin layer and the complete forms of the NS equations are provided for a flat plate shock boundary layer interaction.en
dc.description.degreeMaster of Scienceen
dc.format.extentxi , 87 leavesen
dc.format.mediumBTDen
dc.format.mimetypeapplication/pdfen
dc.identifier.otheretd-06102012-040247en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-06102012-040247/en
dc.identifier.urihttp://hdl.handle.net/10919/43052en
dc.publisherVirginia Techen
dc.relation.haspartLD5655.V855_1988.M572.pdfen
dc.relation.isformatofOCLC# 18679575en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1988.M572en
dc.subject.lcshFluid dynamicsen
dc.subject.lcshNavier-Stokes equationsen
dc.titleViscous solutions for the Navier Stokes equations using an upwind finite volume techniqueen
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineMechanical Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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