A meshless analysis of three-dimensional transient heat conduction problems |
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Authors: | RJ ChengKM Liew |
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Affiliation: | a Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China b Department of Civil and Architectural Engineering, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong SAR |
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Abstract: | In this paper, we consider a numerical modeling of a three-dimensional transient heat conduction problem. The modeling is carried out using a meshless reproducing kernel particle (RKPM) method. In the mathematical formulation, a variational method is employed to derive the discrete equations. The essential boundary conditions of the formulated problems are enforced by the penalty method. Compared with numerical methods based on meshes, the RKPM needs only scattered nodes, rather than having to mesh the domain of the problem. An error analysis of the RKPM for three-dimensional transient heat conduction problem is also presented in this paper. In order to demonstrate the applicability of the proposed solution procedures, numerical experiments are carried out for a few selected three-dimensional transient heat conduction problems. |
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Keywords: | Numerical modeling Meshless method Transient heat conduction problem Error analysis |
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