摘要
基于非结构网格的有限元法在CAE中有着广泛的应用。网格自适应细化方法利用后验误差估计自动决定局部细化,用较低的计算代价获得较好的计算精度。非结构网格的自适应细化实现相对复杂,同时还要保证网格的质量。基于Z-Z后验误差估计对三角形和四面体网格进行网格自适应细化,给出了具体的实现算法,开发了自适应计算模块,达到了提高计算效率的目的,通过算例表明自适应实现的正确性和可靠性。
Finite element method based on unstructured mesh has been extensively used in CAE. Adaptive mesh refinement use posteriori error estimation to decide local refinement and use lower cost to get better precision. Unstructured mesh adaptive refinement is hard to implement due to its complexity in geometry and mesh quality. A Z-Z posteriori error estimation is described in this paper, and algorithms for triangle and tetrahedron mesh adaptation are given to implement the adaptive finite element method. Some data structures are described in our code module which can get the aim of efficiency increment. Numeric experiment illustrates the correctness and credibility.
出处
《机械工程与自动化》
2013年第1期1-3,共3页
Mechanical Engineering & Automation
基金
中国工程物理研究院科学技术发展基金资助课题(2011B0202044)
关键词
自适应网格细化
非结构网格
有限元法
adaptive mesh refinement
unstructured mesh
finite element method
