计算力学学报2016，Vol.33Issue(6)：807-812,6.DOI:10.7511/jslx201606001
热传导问题的比例边界等几何分析
Scaled boundary isogeometric analysis of heat transfer problems
摘要
Abstract
The SBIGA (Scaled Boundary Isogeometric Analysis) method is proposed to solve heat transfer problems in this paper .Both the advantages of SBFEM (Scaled Boundary Finite Element Method ) and IGA (IsoGeometric Analysis ) are inherited in SBIGA .It is ideally suited to solve problems containing infinite domain and singular physical fields .As only the boundaries of the computational domain are naturally discretized by NURBS basis functions ,the proposed approach is very convenient in modeling . And ,the solutions along the radial direction is obtained analytically .It provides a novel way to realize the seamless integration in CAD/CAE and makes great reduction of time consuming in pre‐processing and calculation .In addition ,geometry invariability refinement is carried out without further communication with the CAD system in SBIGA .Three benchmark examples demonstrate its effectiveness in heat transfer problems .Compared with traditional SBFEM ,the geometric error is eliminated in the SBIGA model .Higher accuracy and faster convergence rate is exhibited in the numerical examples .关键词
比例边界有限元/等几何分析/比例边界等几何分析/热传导/保型细分Key words
SBFEM/isogeometric analysis/SBIGA/heat transfer/geometry invariable subdivision分类
能源科技引用本文复制引用
庞林,林皋,张勇,王峰,李建波..热传导问题的比例边界等几何分析[J].计算力学学报,2016,33(6):807-812,6.基金项目
国家自然科学基金委创新研究群体基金（51421064）；国家自然科学基金（51138001）；中央高校基本科研业务费专项资金（DU T13LK16）资助项目． （）
