基于时域边界元法的散热结构瞬态热传导分析

针对散热器结构的瞬态热传导问题，首先，在热力学理论基础上，利用问题的控制方程推导出问题的积分方程；然后针对积分方程中的域积分，采用双互易边界元法（DRBEM）进行处理，得到边界积分方程；再对其进行边界离散，获得常系数微分方程组；最后，运用精细积分法（PIM）进行方程组求解，得到内部点的温度结果。通过边界元法与有限元法计算软件Workbench进行了对比分析，结果表明，边界元法具有计算量小、计算精确度高的优点，从而验证了DRBEM与PIM耦合求解具有较高精确性，是一种可供选择的有效求解瞬态热传导问题的数值计算方法。

Transient Heat Conduction Analysis of Heat Dissipation Structure Based on Time Domain Boundary Element Method

In view of the transient heat conduction problem of radiator structure, firstly, based on the thermodynamic theory, the integral equation of the problem can be derived through the governing equation of the problem. Then, for the domain integral in the integral equation, the dual reciprocal boundary element method (DRBEM) is used to obtain the boundary integral equation. Then the boundary is discretized to obtain the constant coefficient differential equations. Finally, the precise integration method (PIM) is used to solve the equations, thus obtaining the temperature results of the internal points. Based on the comparative analysis of the results between the boundary element method and the finite element method calculation software workbench, the results show that the boundary element method is characterized with the advantages of small amount of calculation but a high accuracy, which verifies the high accuracy of the coupling solution of DRBEM and PIM as an alternative and effective numerical calculation method for solving transient heat transfer problems.