Papers › TriMe++: Multi-threaded triangular meshing in two dimensions

TriMe++: Multi-threaded triangular meshing in two dimensions

25 Sep 2023arXiv:2309.13824links table onlyarchive 2025-07-28

Jiayin Lu, Chris H. Rycroft

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We present TriMe++, a multi-threaded software library designed for generating two-dimensional meshes for intricate geometric shapes using the Delaunay triangulation. Multi-threaded parallel computing is implemented throughout the meshing procedure, making it suitable for fast generation of large-scale meshes. Three iterative meshing algorithms are implemented: the DistMesh algorithm, the centroidal Voronoi diagram meshing, and a hybrid of the two. We compare the performance of the three meshing methods in TriMe++, and show that the hybrid method retains the advantages of the other two. The software library achieves significant parallel speedup when generating large-scale meshes containing between 10⁴ to 10⁷ points. TriMe++ can handle complicated geometries and generates adaptive meshes of high quality.

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