THERMAL SCIENCE

International Scientific Journal

Jing Ling

,

Dong-Sheng Yang

,

Hong-Ying Wang

,

Hong-Zhong Mou

AN EFFICIENT BOUNDARY MESHFREE COMPUTATIONAL APPROACH FOR 3-D MULTI-DOMAIN TRANSIENT THERMAL ANALYSIS WITH VARIABLE THERMAL SOURCES IN NON-HOMOGENEOUS MEDIA

ABSTRACT
Solutions of 3-D multi-domain transient thermal analysis with variable thermal sources in non-homogeneous media are separated into homogeneous and special solutions by an efficient boundary meshfree computational approach, namely virtual boundary meshfree Galerkin method. Homogeneous solutions are expressed by the virtual boundary element method. The virtual source functions of homogeneous solutions and the unknowable coefficients of special solutions can be formed by the radial basis function interpolation. Considering the control equation, the boundary and continuous conditions, and using the Galerkin method, the discrete formula for 3-D multi-domain transient thermal analysis with variable thermal sources in non-homogeneous media can be obtained. This discrete equation has symmetry. Meanwhile, in order to illustrate the steps of implementation more clearly, the final detailed implementation process is given. The numerical results of two calculation examples are obtained and compared to other methods and exact solutions. The proposed method’s stability and exactness are validated for 3-D multi-domain transient thermal analysis with variable thermal sources in non-homogeneous media.
KEYWORDS
3D transient thermal nonhomogeneous media, variable thermal source, multi-domain, boundary element method, meshfree method
PAPER SUBMITTED: 2023-02-15
PAPER REVISED: 2023-04-19
PAPER ACCEPTED: 2023-04-22
PUBLISHED ONLINE: 2023-05-13
DOI REFERENCE: https://doi.org/10.2298/TSCI230215099L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2023, VOLUME 27, ISSUE Issue 4, PAGES [2887 - 2899]
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An efficient boundary meshfree computational approach for 3-D multi-domain transient thermal analysis with variable thermal sources in non-homogeneous media

2025 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence