关键词: 任意形状网格, 自动网格剖分, 数值流形方法, CAD与CAE, 独立覆盖

Abstract: Finite Element Method (FEM) is inconvenient in mesh division and subdivision, difficult in precise modeling of exact geometry, and costs large amount of labor operations. In view of this, we propose an approach of arbitrary mesh subdivision in the 2D solving domain based on convex decomposition idea using Manifold Method based on independent covers presented previously, in which cover meshes are of arbitrary shape, arbitrary connection and arbitrary subdivision. On this basis, with the help of error estimation and h-p version self-adaptive technology in previous studies, we attempt to implement the automatic static analysis of 2D linear-elastic structure, including the automatic subdivision of the solving domain, and the automatic elevation of polynomial orders. Two numerical examples, one of which is a gravity dam and the other is a plate with a small circular hole, are given to illustrate the validity of the present method. Especially in the latter, the whole procedure is exhibited, involving the input of geometry information and computational parameters in CAD, automatic CAE modeling with exact geometry, automatic self-adaptive analysis, as well as the automatic output of computational results. Hence, the automatic CAE computation and CAD/CAE integration are realized preliminarily.

Key words: meshes with arbitrary shape, automatic mesh subdivision, Numerical Manifold Method (NMM), CAD and CAE, independent covers