生成用于 NURBS 增强有限元的四面体网格

IF 8.7 2区 工程技术 Q1 Mathematics
Xi Zou, Sui Bun Lo, Ruben Sevilla, Oubay Hassan, Kenneth Morgan
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引用次数: 0

摘要

本研究提出了第一种生成基于四面体的体积网格的方法,专用于 NURBS 增强有限元法(NEFEM)。基于为 NEFEM 量身定制的、与特征无关的曲面网格生成方法,所提出的网格生成方案能够通过使用曲面网格作为初始边界离散化,生成继承了特征无关性的体积元素。因此,生成的四面体元素可以包含跨越多个 NURBS 表面的三角形面,同时保持精确的边界描述。所提出的策略完全消除了对复杂的不透水 CAD 模型进行去拟合的需要。同时,它还消除了工业实践中采用的 CAD 模型简化所带来的不确定性,以及传统的等参数网格生成器所带来的误差,这些生成器会生成真实边界表示的多项式近似值。由于元素面能够穿越多个几何表面,CAD 模型中的小几何特征不再限制最小元素尺寸,与需要局部细化的传统网格相比,生成的网格能更好地满足用户对网格间距的要求。为了证明所提方法的能力,使用所提策略对各种 CAD 几何图形进行了网格划分,其中包括与流体动力学、波传播和固体力学领域相关的示例。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

The generation of tetrahedral meshes for NURBS-enhanced FEM

The generation of tetrahedral meshes for NURBS-enhanced FEM

This work presents the first method for generating tetrahedral-based volume meshes dedicated to the NURBS-enhanced finite element method (NEFEM). Built upon the developed method of generating feature-independent surface meshes tailored for NEFEM, the proposed mesh generation scheme is able to grow volume elements that inherit the feature-independence by using the surface mesh as the initial boundary discretisation. Therefore, the generated tetrahedral elements may contain triangular faces that span across multiple NURBS surfaces whilst maintaining the exact boundary description. The proposed strategy completely eliminates the need for de-featuring complex watertight CAD models. At the same time, it eliminates the uncertainty originated from the simplification of CAD models adopted in industrial practice and the error introduced by traditional isoparametric mesh generators that produce polynomial approximations of the true boundary representation. Thanks to the capability of having element faces traversing multiple geometric surfaces, small geometric features in the CAD model no longer restrict the minimum element size, and the user-required mesh spacing in the generated mesh is better satisfied than in traditional meshes that require local refinement. To demonstrate the ability of the proposed approach, a variety of CAD geometries are meshed with the proposed strategy, including examples relevant to the fluid dynamics, wave propagation and solid mechanics communities.

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来源期刊
Engineering with Computers
Engineering with Computers 工程技术-工程:机械
CiteScore
16.50
自引率
2.30%
发文量
203
审稿时长
9 months
期刊介绍: Engineering with Computers is an international journal dedicated to simulation-based engineering. It features original papers and comprehensive reviews on technologies supporting simulation-based engineering, along with demonstrations of operational simulation-based engineering systems. The journal covers various technical areas such as adaptive simulation techniques, engineering databases, CAD geometry integration, mesh generation, parallel simulation methods, simulation frameworks, user interface technologies, and visualization techniques. It also encompasses a wide range of application areas where engineering technologies are applied, spanning from automotive industry applications to medical device design.
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