二维自适应网格生成的改进AFT与背景网格法

在基于重生成的自适应有限元网格生成算法研究中，将推进波前法（AFT）与背景网格法结合并提出改进方法，有效地解决了网格生成和单元尺寸计算这两个关键问题。改进的AFT方法，将前沿区分为活跃前沿和非活跃前沿两类，在选取目标前沿时既考虑前沿尺寸又考虑前沿分类。改进的背景网格法，利用结构化栅格对背景网格进行管理，在栅格中直接存放背景网格中的单元，既提高了新单元尺寸的计算速度，又从数值上保证了新生成网格中单元之间尺寸合理过渡。

Improved AFT and background-mesh methods for two-dimensional adaptive mesh generation

This paper applies Advancing Front Technique(AFT) and background method in adaptive finite element mesh generation based on re-meshing.High-quality mesh generation technique and the element size computation method are two key issues to adaptive mesh generation.This paper proposed improved advancing front technique and background method to address these two issues.In improved advancing front technique,front segments are divided into active fronts and inactive fronts.When a front segment is to be selected to generate a new triangle,both its size and category are considered simultaneously.In improved background method,background elements are managed by structured grid,and triangle elements are mapped into the grid.Therefore,the element size can be computed efficiently and the transition of new elements size is guaranteed.Two examples about adaptive mesh generation are provided to illustrate the efficiency and robustness of the proposed approach.