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等参管单元及其在热传导问题边界元法中的应用

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Indexed by:期刊论文

Date of Publication:2016-06-15

Journal:计算力学学报

Included Journals:PKU、ISTIC、CSCD、Scopus

Volume:33

Issue:3

Page Number:328-334

ISSN No.:1007-4708

Key Words:等参管单元;边界元法;奇异积分;单元子分法

Abstract:采用边界元法(BEM )求解实际工程问题时,很大一部分误差来自于离散误差。为此,本文基于Lagrange插值原理,提出了一种三维等参管单元边界元算法,该单元能很好地模拟管状结构的几何外形并对物理量进行高阶插值,大大地消除了离散误差。另外,当在边界元法中使用等参管单元时,提出了一种在等参平面内消除积分奇异性的方法。算例表明,本文算法具有划分网格少,求解精度高的优点。

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