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

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 t...

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Bibliographic Details
Published inIEEE journal on multiscale and multiphysics computational techniques Vol. 7; pp. 268 - 275
Main Authors Yan, Kaiqi, Vukovic, Ana, Sewell, Phillip, Benson, Trevor M.
Format Journal Article
LanguageEnglish
Published Piscataway IEEE 2022
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Conduction heating
Conductive heat transfer
diffusion equation
Finite element method
Mathematical models
Modelling
optimal delaunay triangulation
Simulation
Space heating
Thermal conductivity
Thermal diffusion
Thermal stability
Time-domain analysis
Time-varying systems
Transmission lines
unstructured transmission-line modeling
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ISSN2379-8815
2379-8815
DOI10.1109/JMMCT.2022.3209071

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Summary: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.
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ISSN:2379-8815
2379-8815
DOI:10.1109/JMMCT.2022.3209071