摘要
本文通过间接途径推导了轴对称势问题的基本解及边界积分方程,并采用线性元进行离散,导出了轴对称热传导问题的边界元方程,编制了包含三类边界条件在内的轴对称边界元分析程序。计算了两个具有不同边界条件的轴对称体的稳态温度场,计算结果与解析解高度吻合。
The boundary integral equation and the fundamental solution of axisymmetric heat conduction problem and furthermore, its boundary element equation with liner element are derived in this article using the indirect approach. The corresponding computer program with three boundary condition is also developed. Numerical examples are performed for two axisymmetric heat condiiion problem with different boundary condition. The results obtained are in good agreement with the theoretical solutions and experimental results.
关键词
热传导
轴对称
边界元
奇异积分
fundamental solution, boundary integral equation, boundary element equation, singular integral, heat conduction equation.
