Scaled boundary isogeometric analysis of heat transfer problems
Received:August 21, 2015  Revised:November 26, 2015
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DOI:10.7511/jslx201606001
KeyWord:SBFEM  isogeometric analysis  SBIGA  heat transfer  geometry invariable subdivision
              
AuthorInstitution
庞林 大连理工大学 海岸与近海工程国家重点实验室, 大连 ;大连理工大学 建设工程学部 水利工程学院, 工程抗震研究所, 大连
林皋 大连理工大学 海岸与近海工程国家重点实验室, 大连 ;大连理工大学 建设工程学部 水利工程学院, 工程抗震研究所, 大连
张勇 核能安全技术研究所, 合肥
王峰 大连理工大学 海岸与近海工程国家重点实验室, 大连 ;大连理工大学 建设工程学部 水利工程学院, 工程抗震研究所, 大连
李建波 大连理工大学 海岸与近海工程国家重点实验室, 大连 ;大连理工大学 建设工程学部 水利工程学院, 工程抗震研究所, 大连
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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.