Hex-dominant Meshing Approach based on Frame Field Smoothness
(2014) Procedia Engineering — Vol. 82, n° 1, p. 175-186 (2014)
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- Abstract
- We propose here an indirect approach for building hex-dominant meshes, using the recombination of tetrahedra to create hexahedra. The efficiency 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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Citations
Bernard, P.-E., Remacle, J.-F., Kowalski, N., & Geuzaine, C. (2014). Hex-dominant Meshing Approach based on Frame Field Smoothness. Procedia Engineering, 82(1), 175-186. https://doi.org/10.1016/j.proeng.2014.10.382 (Original work published 2014)