A novel computational framework based on localized method of fundamental solution for heat conduction in anisotropic and nonhomogeneous multi-materials
Abstract
This paper proposes a novel computational framework based on the meshless localized method of fundamental solutions for 2D and 3D steady-state heat conduction in anisotropic and nonhomogeneous multi-materials, including functionally graded materials, thermal metamaterials, and laminar composite materials. A linear combination of local fundamental solutions is used to approximate the temperature field in each stencil support. To treat anisotropy, the domain mapping method is introduced to transform the anisotropic heat conduction equations into isotropic ones. Local fundamental solutions are derived to account for spatially varying thermal conductivity, while the generalized reciprocity method is incorporated to handle volumetric heat sources. Furthermore, the domain decomposition method is employed to treat multi-material problems with discontinuous thermal conductivity and interfacial jump conditions. Several numerical examples are presented to verify the feasibility, efficiency, and accuracy of the proposed computational framework.
Details
- Organisation(s)
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Institute of Photonics
- External Organisation(s)
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Hohai University
Tongji University
- Type
- Article
- Journal
- International Journal of Heat and Mass Transfer
- Volume
- 264
- ISSN
- 0017-9310
- Publication date
- 03.04.2026
- Publication status
- E-pub ahead of print
- Peer reviewed
- Yes
- ASJC Scopus subject areas
- Condensed Matter Physics, Mechanical Engineering, Fluid Flow and Transfer Processes
- Electronic version(s)
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https://doi.org/10.1016/j.ijheatmasstransfer.2026.128787 (Access:
Closed
)
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Details in the research portal "Research@Leibniz University"
