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Singularities in Parametric Meshing

Aubry, Romain, Kaan Karamete, Eric Mestreau, and Saikat Dey

21st International Meshing Roundtable, Springer-Verlag, pp.225-241, October 7-10 2012

IMR
PROCEEDINGS

21st International Meshing Roundtable
San Jose, CA
October 7-10,2012

Sotera Defense Solutions, 1501 Farm Credit Drive, Suite 2300, McLean, VA 22102-5011
Email: robin.davis@soteradefense.com

Summary
A parametric meshing technique is presented with special emphasis to singularities in the parametric mapping. Singularities are locations where the parametric mapping is highly distorted or even singular. In a NURBS context, this arises when control points are clustered into the same location in three dimensions. Limitations of parametric plane meshing in this context are highlighted, and zero- and first-order surface approximations are commented. In the context of the DOD CREATE-MG project, different CAD kernels and mesh generators communicate as plugins through application programming interfaces (API) . The parametric mesh generator is coupled to the CAD through the Capstone APIs and is independent of a particular CAD kernel. Some CAD kernels do not allow these geometrical constructions while some tolerate it. It is therefore a necessity to handle these degenerate cases properly. Examples illustrate the method 's capabilities.

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