Open Access

ARTICLE

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

by Yongsong Li¹, Xiaomeng Yin², Yanming Xu^1,*

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 the 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.

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Keywords

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