投审稿平台


投稿指南
下载专区
地  址:北京市海淀区中关村科学院
南路6号中国科学院计算所342号 [地图]
《计算机辅助设计与图形学学报》编辑部
邮政编码:100190
电  话:010-62562491
          010-62600342
订阅信息
ISSN      1003-9775
CN        11-2925/TP
邮发代号:82-456
单    价:80.00元
全年订价:960.00元
在线期刊

基于PHT-样条加强等几何分析配置方法

贾 悦1), Cosmin Anitescu2), Yongjie Jessica Zhang3), 徐 岗4), 李 春1)*, Timon Rabczuk2)
1) (西北工业大学力学与土木建筑学院 西安 710129)2) (Institute of Structure Mechanics, Bauhaus University Weimar, Weimar, Thuringia 99423 Germany)3) (Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213 USA)4) (杭州电子科技大学计算机学院 杭州 310018)
分类号: TP391.41 DOI: 10.3724/SP.J.1089.2018.16454
出版年,卷(期):页码: 2018 , 30 ( 4 ): 702-706 贾悦
摘要: 结合传统等几何分析配置法和传统等几何分析伽辽金法, 提出一种基于PHT-样条函数的加强等几何分析配置方法. 对于一个偏微分方程问题, 基于具有局部细分特性的PHT-样条基础函数, 应用传统等几何分析配置法在问题域内配置点定义线性方程组, 并应用传统等几何分析伽辽金法施加边界条件, 以保证多片结构连接的稳定; 再将2组线性方程组及施加的边界条件合成一个整体系统. 实例计算结果表明, 该方法既具有配置法固有的计算效率高的优点, 又改善了边界计算出现的不稳定问题, 可有效地用于局部细分和多片结构的计算.
关键词: 等几何分析配置法; 等几何分析伽辽金法; 局部细分; PHT-样条函数
PHT-Spline-Based Enhanced Isogeometric Collocation Method
Jia Yue1), Cosmin Anitesuc2), Yongjie Jessica Zhang3), Xu Gang4), Li Chun1)*, and Timon Rabczuk2)
1) (School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an, 710129)2) (Institute of Structure Mechanics, Bauhaus University Weimar, Weimar, Thuringia 99423 Germany)3) (Department of Mechanical Engineering, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213 USA)4) (School of Computer Science and Technology, Hangzhou Dianzi University, Hangzhou, 310018 )
abstract: The current work presents an enhanced isogeometric analysis (IGA) collocation method by combining the traditional IGA collocation method and the Galerkin IGA method. The traditional IGA collocation method ex-hibits high computational efficiency when solving partial differential equations (PDEs) problems. But the method may produce unstable results along the domain and patch boundaries, influencing the quality of the solution. Compared to the traditional IGA collocation method, the Galerkin IGA method has higher accuracy and is more stable, at the cost of being much slower than the IGA collocation method. The proposed enhanced IGA colloca-tion method combines the two traditional approaches. For a given PDEs problem, firstly, we apply the traditional IGA collocation method in the interior region of the domain by defining the collocation equations at the Greville abscissae points. Secondly, we use the Galerkin IGA method to impose the boundary conditions and ensure a sta-ble multi-patch coupling. The discretization used in the method above is based on the PHT-spline basis functions. Finally, we combine the two types of constraints, together with the boundary conditions as a global linear system. In the end, we test the proposed method by solving 2D and 3D numerical examples with local refinement, show-ing good numerical performance and stability for multi-patch problems.
keyword: IGA collocation method; Galerkin IGA method; adaptive local refinement; PHT-spline
 
Copyright © 2004《计算机辅助设计与图形学学报》版权所有
电话:010-62600342 传真:010-62562491
E_mail:jcad@ict.ac.cn