一种曲边三角形区域中的三角形网格自动生成方法

A Method for Auto-Generating Triangular Mesh in the Region Defined by Three Curved Edges

有限元数值计算时,常需用到三角形单元。在一曲边三角形区域中,本文提出了一种新的三角形网格自动生成方法,可在二维、三维空间内对板、壳等结构进行网格划分和网格疏密调节。算例表明本文的网格生成方法是方便、有效的。并避免了R.HABER等人的方法所产生的计算机数据溢出现象。

The trianglar element is often applied in the numerical computation of the Finite Ele- ment Method. In this paper a new method for auto-generating trianglar mesh is presented. By this method the plate and shell are devided to mesh in the 2D and 3Dspace,and the density and rarity of mesh can by regulated. The numerical examples of this paper indicate that this method in convenient and effective and the computation overflow,which is genersted due to applying R. Hober's method, is avoided.