carrier image

Hex-dominant meshing approach based on frame field smoothness

Bernard, P.-E. and J.-F. Remacle, N. Kowalski, C. Geuzaine

23rd International Meshing Roundtable, Elsevier Ltd., October 12-15 2014


23rd International Meshing Roundtable
London, UK
October 12-15,2014

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.

Download Full Paper (PDF Format)

Contact author(s) or publisher for availability and copyright information on above referenced article