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Author:

Yu, Bo (Yu, Bo.) | Cao, Geyong (Cao, Geyong.) | Gong, Yanpeng (Gong, Yanpeng.) | Ren, Shanhong (Ren, Shanhong.) | Dong, Chunying (Dong, Chunying.)

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, the isogeometric dual reciprocity boundary element method (IG-DRBEM) is proposed to solve threedimensional transient heat conduction problems. It is well known that the error of traditional BEM mainly comes from element dispersion, and the introduction of isogeometric ideas makes BEM become a veritable high-precision numerical method. At present, most of the problems solved by isogeometric BEM (IGBEM) are time-independent. The reason is similar to the traditional BEM, which cannot avoid solving domain integrals when solving time dependent problems. In this paper, based on the potential fundamental solution the boundary-domain integral equation is obtained by the weighted residual method, where the classic dual reciprocity method is adopted to transform domain integrals into boundary integrals. Meanwhile, a two-level time integration scheme is used to solve the discretized differential equations. In addition, the adaptive integration scheme, the radial integral transform method and the power series expansion method are adopted to solve the boundary regular, nearly singular and singular integrals. Several classical numerical examples show that the presented method has good numerical stability and high precision by considering different factors such as the approximation function, the time step, the number of interior points and so on.

Keyword:

Isogeometric BEM Dual reciprocity method 3D transient heat transfer

Author Community:

  • [ 1 ] [Yu, Bo]Hefei Univ Technol, Sch Civil Engn, Hefei 230009, Peoples R China
  • [ 2 ] [Cao, Geyong]Hefei Univ Technol, Sch Civil Engn, Hefei 230009, Peoples R China
  • [ 3 ] [Ren, Shanhong]Hefei Univ Technol, Sch Civil Engn, Hefei 230009, Peoples R China
  • [ 4 ] [Gong, Yanpeng]Beijing Univ Technol, Inst Elect Packaging Technol & Reliabil, Fac Mat & Mfg, Beijing 100124, Peoples R China
  • [ 5 ] [Dong, Chunying]Beijing Inst Technol, Sch Aerosp Engn, Dept Mech, Beijing 100081, Peoples R China

Reprint Author's Address:

  • [Gong, Yanpeng]Beijing Univ Technol, Inst Elect Packaging Technol & Reliabil, Fac Mat & Mfg, Beijing 100124, Peoples R China

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Source :

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

ISSN: 0955-7997

Year: 2021

Volume: 128

Page: 298-309

3 . 3 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:87

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 15

SCOPUS Cited Count: 16

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 25

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