Laplacian-Isoparametric Grid Generation Scheme
Laplacian-Isoparametric Grid Generation Scheme
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发表时间：
1976-10
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通讯作者：
L. Herrmann
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作者：
L. Herrmann
提出了一种替代有限元问题常用的拉普拉斯网格生成方法。该过程基于局部二次等参变换。该等参数生成方法克服了常用拉普拉斯方法在定位内部节点时不能充分利用边界曲率信息和边界节点间距信息的严重缺陷。此外，还给出了一个广义生成格式，它包括拉普拉斯格式和等参格式作为生成格式的特例；这一族由一个从零(拉普拉斯网格)到一(等参数网格)的参数定义。给出了比较不同参数值生成的网格的算例。
An alternative to the commonly employed Laplacian grid generation scheme for finite element problems is developed. The procedure is based upon a local quadratic isoparametric transformation. The proposed isoparametric generation scheme overcomes the one serious defect of the commonly used Laplacian scheme, i.e., the inability to significantly utilize boundary curvature information and boundary node point spacing information when locating interior nodes. In addition, a generalized generation scheme is given that includes the Laplacian and isoparametric schemes as special cases of a family of generation schemes; this family is defined by a parameter with a range of zero (Laplacian grid) to one (isoparametric grid). Examples are given which compare grids generated for various values of the parameter.