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An algorithm for automatic 2D quadrilateral mesh generation with line constraints

机译:具有线约束的二维二维四边形网格自动生成算法

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摘要

Finite element method (FEM) is a fundamental numerical analysis technique widely used in engineering applications. Although state-of-the-art hardware has reduced the solving tune, which accounts for a small portion of the overall FEM analysis time, the relative time needed to build mesh models has been increasing. In particular, mesh models that must model stiffeners, those features that are attached to the plate in a ship structure, are imposed with line constraints and other constraints such as holes. To automatically generate a 2D quadrilateral mesh with the line constraints, an extended algorithm to handle line constraints is proposed based on the constrained Delaunay triangulation and Q-Morph algorithm. The performance of the proposed algorithm is evaluated, and numerical results of our proposed algorithm are presented.
机译:有限元方法(FEM)是一种广泛用于工程应用的基本数值分析技术。尽管最先进的硬件已减少了求解的难度,而这仅占整个FEM分析时间的一小部分,但构建网格模型所需的相对时间却在增加。特别是,必须建模加劲肋的网格模型(在船舶结构中附加到板上的那些特征)受到线约束和其他约束(例如孔)的约束。为了自动生成具有线约束的二维四边形网格,基于约束的Delaunay三角剖分和Q-Morph算法,提出了一种扩展的处理线约束的算法。对所提算法的性能进行了评估,并给出了所提算法的数值结果。

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