An isogeometric boundary element method for transient heat transfer problems in inhomogeneous materials and the non-iterative inversion of loads

Abstract

• An isogeometric boundary element of multi-patch model is established. • A non-iterative inversion method is proposed. • A very complex model of fighter is discussed in detail. In this paper, the transient thermal analysis theory of isogeometric dual reciprocity boundary element method (IG-DRBEM) of the multi-patch inhomogeneous complex model is established and the non-iterative inversion method of load identification is proposed based on the IG-DRBEM. The establishment of the multi-patch analysis theory framework extended the ability of IG-DRBEM to analyze complex geometry to some extent. The multi-patch analysis method adopted herein is simple and operable, and still retains the advantages of seamless connection between CAD generated geometry and response analysis of isogeometric boundary element method (IGBEM), which is very beneficial to expand IG-DRBEM to practical engineering application fields in the future. The inversion method based on IG-DRBEM makes full use of the good geometrical and field representation ability of NURBS, and further expands the application scope of IG-DRBEM. Furthermore, the introduction of the precision integration method for both forward and inverse problems improves the accuracy and stability of calculation to a certain extent. The numerical results show that the proposed method has good stability and accuracy even when solving complex geometric problems such as a fighter model. Moreover, the implementation of basis function expansion and regularization scheme further improves the accuracy and noise resistance of boundary condition inversion.