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dc.creatorNave, JC
dc.creatorRosales, RR
dc.creatorSeibold, B
dc.date.accessioned2020-12-09T22:13:17Z
dc.date.available2020-12-09T22:13:17Z
dc.date.issued2010-04-20
dc.identifier.issn0021-9991
dc.identifier.issn1090-2716
dc.identifier.doihttp://dx.doi.org/10.34944/dspace/4205
dc.identifier.other584WL (isidoc)
dc.identifier.urihttp://hdl.handle.net/20.500.12613/4223
dc.description.abstractThe level set approach represents surfaces implicitly, and advects them by evolving a level set function, which is numerically defined on an Eulerian grid. Here we present an approach that augments the level set function values by gradient information, and evolves both quantities in a fully coupled fashion. This maintains the coherence between function values and derivatives, while exploiting the extra information carried by the derivatives. The method is of comparable quality to WENO schemes, but with optimally local stencils (performing updates in time by using information from only a single adjacent grid cell). In addition, structures smaller than the grid size can be located and tracked, and the extra derivative information can be employed to obtain simple and accurate approximations to the curvature. We analyze the accuracy and the stability of the new scheme, and perform benchmark tests. © 2010 Elsevier Inc. All rights reserved.
dc.format.extent3802-3827
dc.language.isoen
dc.relation.haspartJournal of Computational Physics
dc.relation.isreferencedbyElsevier BV
dc.rightsAll Rights Reserved
dc.subjectLevel set method
dc.subjectSubgrid resolution
dc.subjectCIR method
dc.subjectCubic
dc.subjectCurvature
dc.titleA gradient-augmented level set method with an optimally local, coherent advection scheme
dc.typeArticle
dc.type.genrePre-print
dc.relation.doi10.1016/j.jcp.2010.01.029
dc.ada.noteFor Americans with Disabilities Act (ADA) accommodation, including help with reading this content, please contact scholarshare@temple.edu
dc.date.updated2020-12-09T22:13:14Z
refterms.dateFOA2020-12-09T22:13:18Z


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