Paper Info
Title
Grid-based hexahedral element meshing algorithms for solid models with concave curved boundary lines.
Abstract
This paper presented a grid-based hexahedral element mesh generation algorithm for solid models with concave curved boundary lines. A deep study was focused on the boundary matching and quality improvement techniques. Firstly, a method for computing the curvature values of the triangle facets and sub-surfaces was proposed. In order to improve the surface mesh quality, a layer of new elements was inserted on the surface of the jagged core mesh. Then, a relative position relationship method was used to match C-edges of the solid model. Eight different types of free quadrilateral facet configurations were established. In order to handle the concave curve-matching problem, this paper proposed a method to modify the matching properties of the degenerate quadrilateral facets fitted on the same concave curved boundary line by unifying their orientations to point to the same sub-surface. In addition, six mixed templates were newly proposed to improve the geometrical topology of the degenerate elements associated with concave curves and sharp features. The positions of the nodes were smoothed by the modified Laplacian method and objective function. Finally, the effectiveness and reliability of the algorithms proposed in this paper were demonstrated by a practical example. ? 2012 Springer-Verlag London.
Year
DOI
Venue
2014
10.1007/s00366-012-0287-5
Eng. Comput. (Lond.)
Keywords
Field
DocType
concave curve,grid-based method,hexahedral element mesh,quality improvement,relative position relationships,surface match
Degenerate energy levels,Hexahedron,Mathematical optimization,Curvature,Algorithm,Facet (geometry),Quadrilateral,Mathematics,Grid,Mesh generation,Laplace operator
Journal
Volume
Issue
ISSN
30
1
14355663
Citations 
PageRank 
References 
0
0.34
9
Authors
3
Name
Order
Citations
PageRank
Lu Sun130.72
Guoqun Zhao2245.99
Xinwu Ma3101.70