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Quality tetrahedral mesh generation with HXT
arXiv - CS - Computational Geometry Pub Date : 2020-08-19 , DOI: arxiv-2008.08508
C\'elestin Marot and Jean-Fran\c{c}ois Remacle

We proposed, in a recent paper (10.1002/nme.5987), a fast 3D parallel Delaunay kernel for tetrahedral mesh generation. This kernel was however incomplete in the sense that it lacked the necessary mesh improvement tools. The present paper builds on that previous work and proposes a fast parallel mesh improvement stage that delivers high-quality tetrahedral meshes compared to alternative open-source mesh generators. Our mesh improvement toolkit includes edge removal and improved Laplacian smoothing as well as a brand new operator called the Growing SPR Cavity, which can be regarded as the mother of all flips. The paper describes the workflow of the new mesh improvement schedule, as well as the details of the implementation. The result of this research is a series of open-source scalable software components, called HXT, whose overall efficiency is demonstrated on practical examples by means of a detailed comparative benchmark with two open-source mesh generators: Gmsh and TetGen.

中文翻译:

使用 HXT 生成高质量的四面体网格

我们在最近的一篇论文 (10.1002/nme.5987) 中提出了一种用于四面体网格生成的快速 3D 并行 Delaunay 内核。然而,这个内核是不完整的,因为它缺乏必要的网格改进工具。本论文以之前的工作为基础,并提出了一个快速并行网格改进阶段,与替代开源网格生成器相比,该阶段可提供高质量的四面体网格。我们的网格改进工具包包括边缘去除和改进的拉普拉斯平滑以及一个名为 Growing SPR Cavity 的全新算子,它可以被视为所有翻转之母。论文描述了新网格改进计划的工作流程,以及实施的细节。这项研究的结果是一系列开源的可扩展软件组件,称为 HXT,
更新日期:2020-08-20
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