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Mesh‐based geometry
Author(s) -
Owen Steven J.,
White David R.
Publication year - 2003
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.773
Subject(s) - geometry , topology (electrical circuits) , bézier curve , mesh generation , geometry and topology , finite element method , boundary (topology) , boundary representation , surface (topology) , computer science , cad , complex geometry , representation (politics) , computational geometry , triangle mesh , computer aided design , mathematics , engineering drawing , polygon mesh , engineering , mathematical analysis , structural engineering , combinatorics , politics , political science , law , operating system
A systematic approach to building a complete geometric and topologic representation of a model given only the finite element (FE) description is proposed. The objective of the proposed system is to provide a geometry foundation for existing finite element based models so that standard mesh generation tools can be used without requiring CAD‐based modelling systems such as ACIS or other proprietary commercial tools. To accomplish this, a method for extracting topology from the FE model is proposed. Topology entities including volumes, surfaces, curves and vertices are built based on user‐defined boundary conditions and surface features. Curve and surface geometry is described by either linear triangular facets or G1 continuous 4th‐order Bezier patches. Integration of the proposed mesh‐based geometry (MBG) system into an existing mesh generation toolkit is described. Sample applications and examples of MBG are presented. Published in 2003 by John Wiley & Sons, Ltd.