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# Isogeometric Boundary Element Analysis for 2D Transient Heat Conduction Problem with Radial Integration Method

Leilei Chen1, Kunpeng Li1, Xuan Peng2, Haojie Lian3,4,*, Xiao Lin5, Zhuojia Fu6

1 College of Architecture and Civil Engineering, Xinyang Normal University, Xinyang, 464000, China
2 Department of Mechanical Engineering, Suzhou University of Science and Technology, Suzhou, 215009, China
3 Key Laboratory of In-Situ Property-Improving Mining of Ministry of Education, Taiyuan University of Technology, Taiyuan, 030024, China
4 Institute for Computational Engineering, Faculty of Science, Technology and Communication, University of Luxembourg, Luxembourg
5 The York Management School, University of York, York, YO10 5GD, UK
6 College of Mechanics and Materials, Hohai University, Nanjing, 211100, China

* Corresponding Author: Haojie Lian. Email:

Computer Modeling in Engineering & Sciences 2021, 126(1), 125-146. https://doi.org/10.32604/cmes.2021.012821

## Abstract

This paper presents an isogeometric boundary element method (IGABEM) for transient heat conduction analysis. The Non-Uniform Rational B-spline (NURBS) basis functions, which are used to construct the geometry of the structures, are employed to discretize the physical unknowns in the boundary integral formulations of the governing equations. B´ezier extraction technique is employed to accelerate the evaluation of NURBS basis functions. We adopt a radial integration method to address the additional domain integrals. The numerical examples demonstrate the advantage of IGABEM in dimension reduction and the seamless connection between CAD and numerical analysis.

## Keywords

Chen, L., Li, K., Peng, X., Lian, H., Lin, X. et al. (2021). Isogeometric Boundary Element Analysis for 2D Transient Heat Conduction Problem with Radial Integration Method. CMES-Computer Modeling in Engineering & Sciences, 126(1), 125–146.

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