Work

Isogeometric boundary element method for solving 2D multi-media heat conduction problems

Year: 2025

Type: article

Abstract: In this work, we employ the isogeometric boundary element approach to investigate heat transfer mechanisms in various media. We derive and construct integral equations for the interface of different media to address heat transfer issues. Our proposed modeling technique for two-dimensional problems can be dynamically constructed by incorporating control points and weight factors. In comparison to other numerical software, this approach offers high customizability, improves model accuracy, mitigates mesh errors, and seamlessly integrates the advantages of Computer-Aided Design (CAD) and Computer-Aided Engineering (CAE) through the isogeometric method. The boundary element approach boasts several advantages, with numerical stability and excellent precision being paramount. The amalgamation of the isogeometric approach with the boundary element method holds promise for future applications in practical engineering. Simultaneously, we address the domain integral using the radial integration approach. The algorithmic results reveal that the isogeometric boundary element method, in contrast to the traditional boundary element method, expands the applicability of the latter while maintaining good stability and robustness. This provides substantial support for further software integration.

Source: Results in Applied Mathematics

DOI: 10.1016/j.rinam.2025.100639

Authors: Kunpeng Li, Wei Jiang, Haozhi Li

Institutions: Hohai University, China Three Gorges University, Hubei Key Laboratory of Disaster Prevention and Mitigation

Language: English

Topic: Advanced Numerical Analysis Techniques

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,770

Funders: Hubei Key Laboratory of Disaster Prevention and Mitigation, National Natural Science Foundation of China, China Three Gorges University