Harmonic Variation of Edge Size in Meshing CAD Geometries from IGES Format

Authors:
Maharavo Randrianarivony
Affiliations:
Institute of Computer Science, Christian-Albrecht University of Kiel, Kiel, Germany 24098
Venue:
ICCS '08 Proceedings of the 8th international conference on Computational Science, Part II
Year:
2008

Citing 3
Cited 0

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Abstract

We shall describe a mesh generation technique on a closed CAD surface composed of a few parametric surfaces. The edge size function is a fundamental entity in order to be able to apply the process of generalized Delaunay triangulation with respect to the first fundamental form. Unfortunately, the edge size function is not known a-priori in general. We describe an approach which invokes the Laplace-Beltrami operator to determine it. We will discuss theoretically the functionality of our methods. Our approach is illustrated by numerical results from the harmonicity of triangulations of some CAD objects. The IGES format is used in order to acquire the initial geometries.