Two-Dimensional Thermal Diffusion Equation Solver Based on Unstructured Transmission-Line Modelling and Optimal Delaunay Triangular Meshes

Yan, Kaiqi; Vukovic, Ana; Sewell, Phillip; Benson, Trevor M.

Abstract

The transmission-line modelling (TLM) method has been widely applied to many areas including electromagnetic and heat conduction problems. Its unstructured version, unstructured TLM (UTLM), however, has not hitherto been fully exploited in thermal diffusion problems. This paper derives in detail a thermal UTLM scheme to solve the two-dimensional diffusion equation numerically based on the optimal Delaunay triangular (ODT) mesh.

Citation

Yan, K., Vukovic, A., Sewell, P., & Benson, T. M. (2022). Two-Dimensional Thermal Diffusion Equation Solver Based on Unstructured Transmission-Line Modelling and Optimal Delaunay Triangular Meshes. IEEE Journal on Multiscale and Multiphysics Computational Techniques, https://doi.org/10.1109/JMMCT.2022.3209071

• Journal Article Type: Article
• Acceptance Date: Aug 27, 2022
• Online Publication Date: Sep 23, 2022
• Publication Date: Sep 23, 2022
• Deposit Date: Sep 28, 2022
• Publicly Available Date: Sep 28, 2022
• Journal: IEEE Journal on Multiscale and Multiphysics Computational Techniques
• Electronic ISSN: 2379-8793
• Publisher: Institute of Electrical and Electronics Engineers (IEEE)
• Peer Reviewed: Peer Reviewed
• DOI: https://doi.org/10.1109/JMMCT.2022.3209071
• Keywords: General Earth and Planetary Sciences, General Environmental Science
• Public URL: https://nottingham-repository.worktribe.com/output/11750043
• Publisher URL: https://ieeexplore.ieee.org/document/9900414