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Localized Coarsening of ConformingAll-Hexahedral Meshes

Woodbury, Adam C., Jason F. Shepherd, Matthew L. Statenand Steven E. Benzley

Proceedings, 17th International Meshing Roundtable, Springer-Verlag, pp.603-618, October 12-15 2008

IMR
PROCEEDINGS

17th International Meshing Roundtable
Pittsburgh, Pennsylvania, U.S.A.
October 12-15, 2008

Brigham Young University
aw18@byu.net, seb@byu.edu
Sandia National Laboratories
jfsheph@sandia.gov, mlstate@sandia.gov
Carnegie Mellon University
mstaten@cmu.edu

Abstract
Finite element mesh adaptation methods can be used to improve the efficiency and accuracy of solutions to computational modeling problems. In many applications involving hexahedral meshes, localized modifications which preserve a conforming all-hexahedral mesh are desired. Effective hexahedral refinement methods that satisfy these criteria have recently become available; however, due to hexahedral mesh topology constraints, little progress has been made in the area of hexahedral coarsening. This paper presents a new method to locally coarsen conforming all-hexahedral meshes. The method works on both structured and unstructured meshes and is not based on undoing previous refinement. Building upon recent developments in quadrilateral coarsening, themethod utilizes hexahedral sheet and column operations, including pillowing, column collapsing, and sheet extraction. A general algorithm for automated coarsening is presented and examples of models that have been coarsened with this new algorithm are shown. While results are promising, further work is needed to improve the automated process.

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