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Preliminary Discussion on the Refinement Mesh Generation for Adaptive Analysis

机译:关于自适应分析的细化网格生成的初步探讨

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In recent years, due to the rapid development of computer hardware and the urgent need of complex engineering problems, great support has been provided in the related fields of unstructured mesh generation. A large number of research results show that the adaptive analysis is an effective way to improve the efficiency and precision of the numerical calculation. The reliable error estimation and the powerful mesh generation are two key problems in the process of adaptive numerical analysis. H-type refinement strategy adding the new nodes in the high error area, gradually refines the mesh to reduce the size of the element to achieve the purpose of mesh adaptation; this strategy is simple, intuitive and easy to program. Although the calculation accuracy of unstructured triangle and tetrahedron elements is not high, these elements are suitable for discretization of any complex problem domain, and have a wider range of application in academic and engineering fields.
机译:近年来,由于计算机硬件的快速发展和迫切需要复杂的工程问题,已经在非结构化网格生成的相关领域提供了很大的支持。大量的研究结果表明,自适应分析是提高数值计算效率和精度的有效方法。可靠的误差估计和强大的网格生成是自适应数值分析过程中的两个关键问题。 H型细化策略在高错误区域中添加新节点,逐渐改进网格,以减小元素的大小,实现网格适应的目的;这种策略简单,直观且易于编程。虽然非结构化三角形和四面体元素的计算精度不高,但这些元素适用于任何复杂问题域的离散化,并且在学术和工程领域具有更广泛的应用。

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