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《Journal of Beijing Jiaotong University》 2013-01
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An analytical artificial boundary condition for 1-D advective-conductive heat transfer in unbounded domain

ZHANG Yong,XIANG Yanyong(School of Civil Engineering,Beijing Jiaotong University,Beijing 100044,China)  
Taking the advective-conductive heat transfer in the near filed of nuclear waste repositories as the subject of study,an analytical exact artificial boundary of 1-D advective-conductive heat transfer in unbounded domain is proposed in this paper.According to the 1-D advective-conductive heat transfer of porous media in unbounded domain,two numerical examples are solved by finite different method,in which an exact artificial boundary and a Dirichlet boundary condition are adapted.The first example with Dirichlet boundary condition in semiinfinite extent is provided for illustration of the proposed boundary condition with comparison of an analytical solution,and the second example takes into account of contributed heat sources in unbounded domain.The result indicates that the error of temperature,solved by the Dirichlet boundary condition,is greater with the position closer to the artificial boundary on a long enough time of heat transfer.In contrast,the error,calculated with the proposed exact artificial boundary,is very small and has no correlation with the position of the artificial boundary.
【Fund】: 国家自然科学基金资助项目(50778014);; 中央高校基本科研业务费专项资金资助项目(2011YJS259)
【CateGory Index】: TU43;TK124
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