二维正交贴体坐标系的数值生成和通用程序

A General-Computational Code for the Numerical Generation of 2-Dimensional Orthogonal Body-Fitted Curvilinear Co-ordinate Systems

使用求解拉普拉斯方程组生成二维正交曲线网格的方法,可以在任意一组邻边上预先指定边界网格点,不用特殊技巧生成正交曲线坐标系。提出了一个生成二维正交贴体坐标系的通用程序GEOCE,格程序在按规定格式输入图形边界位置以及边界网格点的信息之后,能够很方便地给出满足精度要求的正交曲线坐标。

In the paper a numerical generation method for 2-dimensional orthogonal body-fitted coordinate systems has been described in detail. By the use of solving a set of Laplace equations the orthogonal curvilinear co-ordinate systems can be generated with direct determination of grid points on a pair of adjacent boundaries, the generation of co-ordinate systems has no further use for any special skills. A general computational code GEOGE has been presented here. After the necessary information about boundary positions and boundary grids has been inputed according to the provided forms, the programme can generate orthogonal curvilinear co-ordinate systems satisfactory for an accuracy of demand in advance. Three examples to make use of this code have been introduced simply.