有限元外推法及其在温度场计算中的应用

An Outward Extension of FEM and Its Application to The Calculation of Temperature Field

温度场计算对于结构应力分析和温度控制均具有重要意义。用有限元法分析温度场,其精度取决于网格的粗细。利用逐次加密的网格层上解的相互关系所构造的外推加速技巧,可避免上述不足。本文研究了一种平面四结点等参单元的外推加速技巧及其在温度场计算中的应用。

The calculation of temperature field is fairly significant for both structural analysis and temperature control. By means of FEM, the task of this calculation is extremely heavy because a higher precision is largly dependent on a finer dissection of grid. An accelerative technique of outward extension is suggested in this paper according to the correlations of solutions among gradually densified grids avoids above shortcoming of FEM. And 2—dimensional 4—node isoparameter element of this technique and its application to temperature analysis are studied in this paper.