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A Concise Representation of Geometry Suitable for Mesh Generation

Chew, L. Paul, Stephen Vavasis, S. Gopalsamy, TzuYi Yu and Bharat Soni

Proceedings, 11th International Meshing Roundtable, Springer-Verlag, pp.275-284, September 15-18 2002

IMR
PROCEEDINGS

11th International Meshing Roundtable
Ithaca, New York, USA.
September 15-18 2002

L. Paul Chew Department of Computer Science,
Cornell University, Ithaca, NY 14853
chew@cs.cornell.edu

Stephen Vavasis
Department of Computer Science,
Cornell University, Ithaca, NY 14853,
vavasis@cs.cornell.edu

S. Gopalsamy
Mechanical Engineering,
University of Alabama at Birmingham (UAB), Birmingham, AL 35294,
sgopals@eng.uab.edu

TzuYi Yu
Information Management Department,
National Chi-Nan University, Puli, Taiwan, ROC,
tyyu@ncnu.edu.tw

Bharat Soni
Mechanical Engineering,
University of Alabama at Birmingham (UAB), Birmingham, AL 35294,
bsoni@eng.uab.edu

Abstract
We describe a new geometric representation scheme suitable for finite element mesh generation. The representation is by boundaries (i.e., brep) and relations between boundaries are stored as a directed acyclic graph. The geometry itself is based on NURBScurv es and surfaces. The new geometry proposal has been been adopted by the Cornell- Mississippi State joint ITR project. We describe why the geometric representation scheme is well-suited for mesh generation and engineering analysis.

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