复杂传热数学模型的有限元网格自动划分方法

Automatic Grid Generation Method of FEM for Complex Heat Transfer Systems

提出了一种网格自动划分的方法 映射数值求解方法，并结合冶金中的传热问题，阐述其具体实施过程·以 Ｔｕｒｂｏ Ｃ 为开发工具，编制了复杂求解域的有限元网格自动划分程序，该程序在 Ｔｕｒｂｏ Ｃ２０ 集成开发环境上，调试运行通过·通过验证，本方法不但对凸域行之有效，而且较成功地解决了凹域问题·

The numerical solving method of mapping can be described that the mapping between the practical domain and regularization system was built and expressed the Laplace equations and then,the equations were solved to obtain requiring grid information by the FDM using the known points on the practical domain as the boundary conditions. It was used to establish an automatic grid generation program in order to meet the requirements of FEM for the complex heat transfer problems in metallurgy industry. The automatic grid generating program of FEM for the complex solution domain was designed by the developing tool of the C programming language. The program was debugged and passed through the integration development environment of Turbo C 2 0. It was proved that the program is very effective not only to convex domains,but also to the questions with concave domain.