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2D and 3D transient heat conduction analysis by BEM via particular integrals

✍ Scribed by M.T. Yang; K.H. Park; P.K. Banerjee


Book ID
104266936
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
492 KB
Volume
191
Category
Article
ISSN
0045-7825

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✦ Synopsis


Particular integral formulations are presented for 2D and 3D transient potential flow (heat conduction) analysis. The results of the analysis are compared with an alternative formulation developed using the volume integral conversion approach. Although the mathematical foundation of the two methods are different both formulations are shown to produce almost identical results.For the particular integral formulation, the steady-state heat conduction equation is used as the complementary solution and two global shape functions (GSFs) are considered to approximate the transient term of the heat conduction equation.The numerical results for three example problems are given and compared with their analytical solutions.


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Efficient re-integration based convolution algorithms are presented for a large class of problems involving transient two-and threedimensional heat conduction and uncoupled thermoelastic analyses based on the earlier works of Dargush and Banerjee [G.F. Dargush, P.K. Banerjee, Application of boundary