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Degenerate Hex Elements

Dudley, Clifton R. and Steven J. Owen

23rd International Meshing Roundtable, Elsevier Ltd., October 12-15 2014


23rd International Meshing Roundtable
London, UK
October 12-15,2014

Stanford University, Department of Mechanical Engineering, Stanford, California, U.S.A.
Sandia National Laboratories, Albuquerque, NM, U.S.A.

Automatic, all-hex meshes are required in many environments. However, current methods can produce unacceptable results where geometric features or topologic connectivity impose limiting constraints. Collapsing a small number of edges or faces in an allhex mesh to produce degenerate hex elements may be sucient to turn an otherwise unusable mesh into an adequate mesh for computational simulation. We propose a post-processing procedure that will operate on an existing all-hex mesh by identifying and collapsing edges and faces to improve element quality followed by local optimization-based smoothing. We also propose a new metric based upon the scaled Jacobian that can be used to determine element quality of a degenerate hex element. In addition we illustrate the e ectiveness of degenerate elements in analysis and provide numerous meshing examples using the sculpt meshing procedure modified to incorporate degeneracies.

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