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Towards geometrically exact higher-order unstructured mesh generation

Engvall, Luke, John Evans

Research Note, 25th International Meshing Roundtable, Sandia National Laboratories, September 26-30 2016

INTERNATIONAL
MESHING
ROUNTABLE

25th International Meshing Roundtable
Washington DC, U.S.A.
September 26-30, 2016

Luke Engvall, University of Colorado at Boulder, US, engvall@colorado.edu
John Evans, University of Colorado at Boulder, US, John.A.Evans@colorado.edu

Research Note Abstract
We present a methodology for creating geometrically exact unstructured meshes comprised of rational B\'{e}zier tetrahedra. The novel contributions are two fold. First, we present criteria for creating a compatible preliminary linear tetrahedral mesh from a NURBS or T-spline surface. We then present a surface reconstruction methodology capable of exactly recovering the CAD geometry.

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