多层复合域热传导的边界元方法

A Boundary Element Solution to the Mutilayer Heat Conduction

本文基于权余法导出了适用于通用边界条件的热传导问题的边界积分方程,给出了按线性元分布的边界元离散矩阵方程,提出了处理多层复合域稳态热传导问题的边界元方法,算例计算结果表明,该处理方法是行之有效的。

A boundary-integration equation for heat conduction with general boundary conditions is derived, based on the weighted factor method. Corresponding boundary element isolated matrix equations are obtained by use of linear dispersion in a boundary element. A method to solve 2-D, steady multilayer heat conduction using the boundary clement scheme is presented. The calculation results of an example show that the presented solution method is efficient.