A Hybrid Variational-Level Set Approach to Handle Topological Changes

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dc.contributor.advisorNochetto, Ricardo Hen_US
dc.contributor.authorWalker, Shawnen_US
dc.contributor.departmentApplied Mathematics and Scientific Computationen_US
dc.contributor.publisherDigital Repository at the University of Marylanden_US
dc.contributor.publisherUniversity of Maryland (College Park, Md.)en_US
dc.date.accessioned2007-06-22T05:38:51Z
dc.date.available2007-06-22T05:38:51Z
dc.date.issued2007-05-08
dc.description.abstractWe present a method for allowing explicit, Lagrangian meshes to undergo topological changes in an automatic way. We employ a method for detecting when topological changes are imminent. When a change occurs, we use a level set method to guide the change of topology of the domain mesh. This is then followed by an optimization step, using a variational formulation, that seeks to improve boundary mesh conformity to the zero level contour of the level set function. The advantage of this method is that it directly allows for using a variational formulation of the physics being modeled and simulated, including the ability to account for important geometric information in the model (such as for surface tension driven flow). Furthermore, the level set update and optimization step are only needed during a topological change. Hence, our method does not significantly affect computational cost.en_US
dc.format.extent6674984 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.urihttp://hdl.handle.net/1903/6979
dc.language.isoen_US
dc.subject.pqcontrolledMathematicsen_US
dc.subject.pqcontrolledEngineering, Aerospaceen_US
dc.subject.pqcontrolledEngineering, Mechanicalen_US
dc.subject.pquncontrolledtopological changeen_US
dc.subject.pquncontrolledlarge deformationen_US
dc.subject.pquncontrolledfree boundaryen_US
dc.subject.pquncontrolledfinite element methoden_US
dc.subject.pquncontrolledmesh optimizationen_US
dc.subject.pquncontrolledmesh smoothingen_US
dc.titleA Hybrid Variational-Level Set Approach to Handle Topological Changesen_US
dc.typeThesisen_US

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