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Isoparametric closure elements in boundary element method

机译:边界元法中的等参闭包元

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An innovative method is proposed for constructing isoparametric boundary elements to simulate closed surfaces. These elements are named "isoparametric closure elements" and can not only accurately simulate spherical, elliptical, and other closed surface geometries, but also interpolate physical quantities defined over these surfaces. As a result of using the proposed closure elements, each of these surfaces can be discretized into only one element along the circumferential direction. A number of closure elements having 4-26 nodes are investigated to examine the computational error, and three are recommended to be used in the boundary element method (BEM) analysis. These closure elements are applied to BEM analysis of heat conduction and solid mechanics problems. A technique for eliminating singularities involved in boundary integrals over closure elements is also presented. A number of numerical examples will be given to demonstrate the computational accuracy and efficiency of the proposed closure elements. (C) 2016 Elsevier Ltd. All rights reserved.
机译:提出了一种创新的方法来构造等参边界元以模拟封闭面。这些元素被称为“等参闭合元素”,不仅可以精确地模拟球形,椭圆形和其他闭合表面的几何形状,还可以对在这些表面上定义的物理量进行插值。通过使用所提出的封闭元件,这些表面中的每一个都可以沿圆周方向离散成一个元件。研究了具有4-26个节点的多个闭合元素,以检查计算误差,并建议在边界元素方法(BEM)分析中使用三个闭合元素。这些封闭元件适用于导热和固体力学问题的BEM分析。还提出了一种消除封闭元素上边界积分中涉及的奇异性的技术。将给出许多数值示例来证明所提出的闭合元件的计算精度和效率。 (C)2016 Elsevier Ltd.保留所有权利。

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