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Transient heat conduction analysis by triple-reciprocity boundary element method |
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| Affiliation: | 1. Department of Civil Engineering, School of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, China;2. Department of Mathematics, College of Sciences, Shanghai University, Shanghai 20044, China;3. Shanghai Key Laboratory of Mechanics in Energy Engineering, Shanghai Institute of Applied Mathematics and Mechanics, School of Mechanics and Engineering Science, Shanghai University, Shanghai 200072, China |
| Abstract: | The paper deals with 2D initial-boundary value problems in the linear theory of transient heat conduction. A pure boundary element formulation is developed systematically. The time-dependent fundamental solution of the diffusion operator is employed together with higher-order polyharmonic fundamental solutions. The pseudo-initial temperature and/or heat sources density are approximated by using the triple-reciprocity formulation. All the time integrations are performed analytically in the time-marching scheme with integration within one time step and constant interpolation. The spatial discretization is reduced to boundary elements and free scattering of interior nodal points without any connectivity. |
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