23rd International Meshing Roundtable
Universite catholique de Louvain, Belgium
Universite de Liege, Belgium
We propose here an indirect approach for building hex-dominant meshes, using the recombination of tetrahedra to create hexahedra.
The eciency of this recombination depends on the location of the initial points. A two-dimensional frame field is obtained on
the boundaries by solving an elliptic PDE. We first propose a procedure to extend the two dimensional field inside the volume and
to obtain a smooth three-dimensional frame field, used to insert new points. Then, we propose a point insertion algorithm based
on a frame field smoothness estimator: new points are preferentially inserted in smooth frame field regions. The meshes obtained
clearly exhibit a larger ratio of hexahedra, compared to more straightforward approaches.
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