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

Fuente: arXiv
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Autori principali: Lu, Jiayin, Rycroft, Chris H.
Natura: Preprint
Pubblicazione: 2023
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author Lu, Jiayin
Rycroft, Chris H.
author_facet Lu, Jiayin
Rycroft, Chris H.
contents 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 $10^4$ to $10^7$ points. TriMe++ can handle complicated geometries and generates adaptive meshes of high quality.
format Preprint
id arxiv_https___arxiv_org_abs_2309_13824
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle TriMe++: Multi-threaded triangular meshing in two dimensions
Lu, Jiayin
Rycroft, Chris H.
Computational Geometry
Distributed, Parallel, and Cluster Computing
Numerical Analysis
Applied Physics
Computational Physics
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 $10^4$ to $10^7$ points. TriMe++ can handle complicated geometries and generates adaptive meshes of high quality.
title TriMe++: Multi-threaded triangular meshing in two dimensions
topic Computational Geometry
Distributed, Parallel, and Cluster Computing
Numerical Analysis
Applied Physics
Computational Physics
url https://arxiv.org/abs/2309.13824