边界元法在轴对称热传导问题中的应用

THE APPLICATION OF BOUNDARY ELEMENT METHOD IN AXISYMMETRIC HEAT CONDUCTION

本文采用直接法推导了轴对称热传导势问题的基本解和边界积分方程,并用线性元进行边界离散,编制了包括三类边界条件在内的轴对称体热传导边界元法分析程序。文末计算了两个具有不同边界条件轴对称体的稳态温度场分布,计算结果与理论解完全一致。

The boundary integral eguation and fundamental solution of axisymmetric heat condnction problem and its boundary element eguation with liner element are derived in this paper by using the direct approach. The computer program with three kinds of boundary condition is also developed. Finally of stable temperature field distribution numerical examples are performed for two axisymmetric heat conduction problems with different boundary condition.The results are in good agreement to the theoretical and calculated solutions