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有限元网格自动生成参数变换法

Parametrical Transformation for Automatic Mesh Generation in the Finite Element Method
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摘要 本文在Zienkiewicz-林泰道方法的基础上,采用二次形状函数拟合边界曲线或曲面,使原有平面问题的网格划分推广应用到空间曲面和空间三维体问题。1 子块信息 平面区域分割成任意四边形子块A<sub>1</sub>,并在边界上按逆时针方向设8个点P<sub>j</sub>(j=1,2,…,8),如图1(a)所示.顶点(p<sub>1</sub>,p<sub>3</sub>, A quadratic shape function is used to represent the boundary curved line or surface by referring to the method developed by Zienkiewicz-Lin Taitau so that two-dimensional automatic mesh generation can be extended to three-dimensional curved surface and body. A program (GMG) has been worked out, which has proved useful in the optimum design for hydraulic turbine parts.
作者 万西玲
出处 《华中科技大学学报(自然科学版)》 EI CAS CSCD 北大核心 1990年第S2期149-152,共4页 Journal of Huazhong University of Science and Technology(Natural Science Edition)
关键词 FINITE ELEMENT method MESH SHAPE function Parametrical TRANSFORMATION Optimization Finite element method Mesh Shape function Parametrical transformation Optimization
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