Open Access

ARTICLE

Isogeometric Boundary Element Method for Two-Dimensional Steady-State Non-Homogeneous Heat Conduction Problem

Yongsong Li1, Xiaomeng Yin2, Yanming Xu1,*
1 School of Architectural Engineering, Huanghuai University, Zhumadian, 463000, China
2 College of Intelligent Construction, Wuchang University of Technology, Wuhan, 430223, China
* Corresponding Author: Yanming Xu. Email:
(This article belongs to this Special Issue: Recent Advance of the Isogeometric Boundary Element Method and its Applications)

Computer Modeling in Engineering & Sciences 2022, 132(2), 471-488. https://doi.org/10.32604/cmes.2022.020201

Received 10 November 2021; Accepted 08 January 2022; Issue published 15 June 2022

Abstract

The isogeometric boundary element technique (IGABEM) is presented in this study for steady-state inhomogeneous heat conduction analysis. The physical unknowns in the boundary integral formulations of the governing equations are discretized using non-uniform rational B-spline (NURBS) basis functions, which are utilized to build the geometry of the structures. To speed up the assessment of NURBS basis functions, the B´ezier extraction approach is used. To solve the extra domain integrals, we use a radial integration approach. The numerical examples show the potential of IGABEM for dimension reduction and smooth integration of CAD and numerical analysis.

Keywords

Isogeometric analysis; NURBS; boundary element method; heat conduction; non-homogeneous; radial integration method

Cite This Article

Li, Y., Yin, X., Xu, Y. (2022). Isogeometric Boundary Element Method for Two-Dimensional Steady-State Non-Homogeneous Heat Conduction Problem. CMES-Computer Modeling in Engineering & Sciences, 132(2), 471–488.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 647

    View

  • 315

    Download

  • 0

    Like

Share Link

WeChat scan