Method and system for modeling variable-node finite elements and application to nonmatching meshes
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    发明申请
    Method and system for modeling variable-node finite elements and application to nonmatching meshes 审中-公开
    可变节点有限元建模方法与系统,应用于非匹配网格

    公开(公告)号:US20090015586A1

    公开(公告)日:2009-01-15

    申请号:US12007245

    申请日:2008-01-08

    IPC分类号: G06T15/30

    CPC分类号: G06F17/5018

    摘要: The present invention relates to a method and system for modeling non-matching finite element meshes using variable-node finite elements in the finite element method. More specifically, a method and recording medium for modeling a variable-node finite element for application to non-matching meshes using the finite element method performed via a computer and using the existing four-node linear quadrangular element, eight-node secondary quadrangular element, nine-node secondary quadrangular element, and eight-node hexahedral element, wherein the finite element analysis method includes: a first step of confirming the number of nodes added to boundary surfaces of the non-matching meshes; a second step of dividing the boundary surfaces of the non-matching meshes into partial boundary surfaces divided by means of the added nodes; a third step of dividing the non-matching meshes into partial regions based on the partial boundary surfaces divided in the second step; a fourth step of performing a point interpolation based on the nodes affecting each partial region divided in the third step; and a fifth step of integrating each of the partial regions through numerical integration.

    摘要翻译: 本发明涉及一种在有限元法中使用可变节点有限元建模非匹配有限元网格的方法和系统。 更具体地说,一种用于使用经由计算机执行的有限元方法和使用现有的四节点线性四边形元素,八节点二次四边形元素,将可变节点有限元建模以应用于非匹配网格的方法和记录介质, 九节点二次四边形单元和八节点六面体单元,其中有限元分析方法包括:确定添加到不匹配网格的边界面的节点数量的第一步骤; 将不匹配网格的边界面划分为通过添加的节点分割的部分边界面的第二步骤; 第三步骤,基于在第二步骤中划分的部分边界表面将不匹配的网格划分为部分区域; 基于影响在第三步骤中划分的每个部分区域的节点执行点插值的第四步骤; 以及通过数值积分来对每个部分区域进行积分的第五步骤。