温度场分析的自适应有限元方法

自适应有限元方法在实际工程问题的分析中有重要的应用价值，本文根据温度场分析的特点，给出了温度场有限元计算结果局部误差估计的简单方法，结合有限元网格生成的Delaunay三角化方法，研究温度场有限元分析的自适应方法，并在汽轮机转子温度场有限元分析软件中成功实现了温度场的误差估计和有限元网格的自适应自动剖分，加密等功能，获得了具有等精度的温度场有限元数值计算结果，以国产300MW汽轮机转子温度场分析的有限元网格和计算结果为例，说明了本文方法的有效性。

Self-adaptive Finite Element Method for the Analysis of a Temperature Field

Self adaptive finite element method has its important application value in the analysis of practical engineering problems. In the light of the specific features of a temperature field the authors have presented a simple method for the estimation of local errors in the finite element calculation of a temperature field. In conjunction with Delaunay triangulation method of finite element mesh generation a study was conducted of the self adaptive method for the finite element analysis of a temperature field. In addition, the error estimation of the temperature field and other functions, such as automatic division of finite element mesh and the introduction of encryption, have been realized in a finite element analysis software for the rotor temperature field of a steam turbine. As a result, finite element numerical calculation results were obtained of a temperature field of constant precision. The effectiveness of the method recommended by the authors can be proved by the finite element mesh used for the analysis of the temperature field of a Chinese made 300 MW steam turbine rotor and the relevant calculation results.