二维有限元网格自动自适应生成

Automatic and Adaptive Generation of Two Dimensional Finite Element Meshes

为使有限元法能更有效地应用于日益复杂的科学和工程计算,提出一种自动自适应网格生成方法.该方法在结合推进波前法和法向偏移法的优势的基础上产生,改进了节点的生成方式,融入了简单灵活的密度控制方式和合理准确的边界离散方式.剖分实例显示,该方法能有效地生成高质量网格,自动化程度高,适应能力强;它已成功地应用于复杂海域下波浪与结构物相互作用的有限元计算,并取得了很好的效果.

In order to meet the incresaing computational demand in science and engineering, an automatic and adaptive algorithm is designed for the finite mesh generation. By combing the advancing front method and the normal offsetting method, the algorithm improves the traditional mesh generation scheme thanks to the integration of simple and flexible density control and the rationlization of boundary discretization. The results show that the algorithm is capable of automatically and adaptively generating meshes with reasonable quality. The algorithm has been successfully applied to the computations of interactions from waves to structures in complicated sea areas.