Local Topological Modification of Hexahedral Meshes. Part I: A Set of Dual-Based Operations

TitleLocal Topological Modification of Hexahedral Meshes. Part I: A Set of Dual-Based Operations
Publication TypeConference Paper
Year of Publication2008
AuthorsTautges, TJ, Knoop, SE, Rickmeyer, TJ
Conference NameCentre d'ete Mathematiue de Recherche Avancee en Calcul Scientifique (CEMRACS'07)
Conference LocationLuminy, France
Other NumbersANL/MCS-P1550-1008
Abstract

For hexahedral meshes, it is difficult to make topological modifications which preserve conformal property and which are local to the modified elements. This is most easily understood in how changes affect the dual surfaces (“sheets”) and lines (“chords”), which have non­local extent in hexahedral meshes. A set of three operations is proposed which represent distinct local changes to the hex mesh and its dual. These operations are shown to compose the larger set of “flipping” operations described by Bern et. al. The relation between these dual­based operations and the insertion of a Boy surface in the dual, described by Bern, is also discussed.

 

PDFhttp://www.mcs.anl.gov/papers/P1550.pdf