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三维瞬态导热温度场边界元计算及一阶数学奇异的处理
引用本文:徐雕,黄太平. 三维瞬态导热温度场边界元计算及一阶数学奇异的处理[J]. 推进技术, 1993, 14(6): 39-43
作者姓名:徐雕  黄太平
作者单位:南京航空航天大学(徐雕),南京航空航天大学(黄太平)
摘    要:
推导了三维瞬态导热温度场边界元解法的积分方程和离散代数方程,并编制了相应的计算机程序,采用坐标变换的解析消去法,处理边界元的一阶数学奇异点,从而提高了算法的数值精度。用本程序计算了正方体和圆柱环瞬态导热温度场,数值解与解析解的吻合程度令人满意。

关 键 词:边界元法 导热性 瞬态温度分布

A BOUNDARY ELEMENT INVESTIGATION OF 3-DIMENSIONAL TRANSIENT HEAT CONDUCTION AND THE TREATMENT OF SINGULARITY
Xu Diao and Huang Taiping. A BOUNDARY ELEMENT INVESTIGATION OF 3-DIMENSIONAL TRANSIENT HEAT CONDUCTION AND THE TREATMENT OF SINGULARITY[J]. Journal of Propulsion Technology, 1993, 14(6): 39-43
Authors:Xu Diao and Huang Taiping
Affiliation:Nanjing Aeronautical Institute
Abstract:
The 3-dimensional transient heat conductions in a cylinder and in a cube are numerically calculated using Boundary Element Method in the present study. To promote the accuracy of scheme, the analytical treatment is introduced to deal with mathematical singularity occured in Boundary Element Method. Comparing with analytical solutions, the numerical results are quite good.
Keywords:Boundary element method   Thermal conductivity   Calculation method   Transient temperature distribution  
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