Paper Info
Title
Hexahedral mesh modification to preserve volume.
Abstract
In this work, we provide a new post-processing procedure for automatically adjusting node locations of an all-hex mesh to better match the volume of a reference geometry. This process is particularly well-suited for mesh-first approaches, as overlay grid ones. In practice, hexahedral meshes generated via an overlay grid procedure, where a precise reference geometry representation is unknown or is impractical to use, do not provide for precise volumetric preservation. A discrete volume fraction representation of the reference geometry MI on an overlay grid is compared with a volume fraction representation of a 3D finite element mesh MO. This work introduces the notion of localized discrepancy between MI and MO and uses it to design a procedure that relocates mesh nodes to more accurately match a reference geometry. We demonstrate this procedure on a wide range of hexahedral meshes generated with the Sculpt code and show improved volumetric preservation while still maintaining acceptable mesh quality.
Year
DOI
Venue
2018
10.1016/j.cad.2018.07.001
Computer-Aided Design
Keywords
Field
DocType
Hexahedral mesh,Interface reconstruction,Volume fraction,Volume preservation,Overlay grid
Volume fraction,Hexahedron,Mathematical optimization,Polygon mesh,Finite element method,Computational science,Overlay,Grid,Mathematics
Journal
Volume
ISSN
Citations 
105
0010-4485
0
PageRank 
References 
Authors
0.34
7
3
Name
Order
Citations
PageRank
Nicolas Goff121.79
Franck Ledoux2608.55
Steven J. Owen344049.16