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dc.contributor.authorFeng, Hualongen_US
dc.date.accessioned2007-09-05T18:50:21Z
dc.date.availableNO_RESTRICTIONen_US
dc.date.available2007-09-05T18:50:21Z
dc.date.issued2007en_US
dc.date.submitted2007en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/55669
dc.description.abstractIn this thesis we present an accurate and efficient algorithm for computing ideal flows using vortex sheets. A vortex sheet is a mathematical model simulating slightly viscous flow in which the vorticity is concentrated on a surface and the viscous effects are small. The sheet surface is represented by a set of triangular panels and each panel contains a set of active and passive Lagrangian particles. The active particles carry vorticity and the passive particles are used for panel subdivision and particle insertion. The method computes the vorticity carried by those particles, and then the induced velocities are computed with a tree-code. As the sheet surface evolves, stretching and twisting occur, hence refinement is needed to maintain resolution. The quadrature and the refinement procedure are local in the sense that they only use information within each panel. The purpose of implementing the locality is to avoid taking derivatives of the flow map, which is difficult because the derivatives grow in amplitude as time progresses. Computations of homogeneous flow, in which vorticity is conserved, are presented. We also present results for slightly stratified flow, in which vorticity is generated baroclinically on the sheet.en_US
dc.format.extent26 bytes
dc.format.extent6893299 bytes
dc.format.mimetypetext/plain
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen_US
dc.subjectVortexen_US
dc.subjectSheeten_US
dc.subjectAdaptiveen_US
dc.subjectTriangularen_US
dc.subjectIntrinsicen_US
dc.titleVortex Sheet Simulations of 3D Flows Using an Adaptive Triangular Panel/Particle Method.en_US
dc.typeThesisen_US
dc.description.thesisdegreenamePh.D.en_US
dc.description.thesisdegreedisciplineMathematicsen_US
dc.description.thesisdegreegrantorUniversity of Michigan, Horace H. Rackham School of Graduate Studiesen_US
dc.contributor.committeememberKrasny, Roberten_US
dc.contributor.committeememberDahm, Werner J Aen_US
dc.contributor.committeememberGuskov, Igoren_US
dc.contributor.committeememberKarni, Smadaren_US
dc.contributor.committeememberWu, Sijueen_US
dc.subject.hlbsecondlevelMathematicsen_US
dc.subject.hlbtoplevelScienceen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/55669/2/hualongf_1.pdf
dc.owningcollnameDissertations and Theses (Ph.D. and Master's)


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