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Unstructured and semi-structured hexahedral mesh generation methods

机译:非结构化和半结构化六面体网格生成方法

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摘要

Discretization techniques such as the finite element method, the finite volume method or the discontinuous Galerkin method are the most used simulation techniques in ap- plied sciences and technology. These methods rely on a spatial discretization adapted to the geometry and to the prescribed distribution of element size. Several fast and robust algorithms have been developed to generate triangular and tetrahedral meshes. In these methods local connectivity modifications are a crucial step. Nevertheless, in hexahedral meshes the connectivity modifications propagate through the mesh. In this sense, hexahedral meshes are more constrained and therefore, more difficult to gener- ate. However, in many applications such as boundary layers in computational fluid dy- namics or composite material in structural analysis hexahedral meshes are preferred. In this work we present a survey of developed methods for generating structured and unstructured hexahedral meshes.
机译:离散化技术,例如有限元法,有限体积法或间断Galerkin方法,是应用科学技术中最常用的模拟技术。这些方法依赖于适合于几何形状和元素大小的指定分布的空间离散。已经开发了几种快速且鲁棒的算法来生成三角形和四面体网格。在这些方法中,本地连接性修改是至关重要的一步。然而,在六面体网格中,连通性修改会通过网格传播。从这个意义上讲,六面体网格更受约束,因此更难以生成。但是,在许多应用中,例如计算流体动力学中的边界层或结构分析中的复合材料,六面体网格是首选。在这项工作中,我们对已生成的用于生成结构化和非结构化六面体网格的方法进行了概述。

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