NDLI: Skeleton-based computational method for the generation of a 3D finite element mesh sizing function

Content Provider	Springer Nature Link
Author	Quadros, William Roshan Shimada, Kenji Owen, Steven James
Copyright Year	2004
Abstract	This paper focuses on the generation of a three-dimensional (3D) mesh sizing function for geometry-adaptive finite element (FE) meshing. The mesh size at a point in the domain of a solid depends on the geometric complexity of the solid. This paper proposes a set of tools that are sufficient to measure the geometric complexity of a solid. Discrete skeletons of the input solid and its surfaces are generated, which are used as tools to measure the proximity between geometric entities and feature size. The discrete skeleton and other tools, which are used to measure the geometric complexity, generate source points that determine the size and local sizing function at certain points in the domain of the solid. An octree lattice is used to store the sizing function as it reduces the meshing time. The size at every lattice-node is calculated by interpolating the size of the source points. The algorithm has been tested on many industrial models, and it can be extended to consider other non-geometric factors that influence the mesh size, such as physics, boundary conditions, etc.
Starting Page	249
Ending Page	264
Page Count	16
File Format	PDF
ISSN	01770667
Journal	Engineering with Computers
Volume Number	20
Issue Number	3
e-ISSN	14355663
Language	English
Publisher	Springer-Verlag
Publisher Date	2004-08-26
Publisher Place	London
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Finite element mesh sizing function Skeleton Medial axis transform Octree
Content Type	Text
Resource Type	Article
Subject	Engineering Computer Science Applications Modeling and Simulation Software

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