Towel 形域到方形域的全局同胚网格生成法

Global Homeomorphic Grid Generation of Towel Shaped Region to Square Transition Region

给出了一种把任意维Ｔｏｗｅｌ形域映到方形过渡域的映射；给出了此映射是全局同胚的充分性条件和对应此映射的数值网格生成的迭代方法．对于Ｔｏｗｅｌ形域的一种较特殊情况，本文给出了相应的结论．最后，还给出数值网格生成的例子．

A mapping of a free dimensional towel shaped region to a square transition region is constructed. A sufficient condition making the mapping be globally homeomorphic is obtained. The iterative method for the generation of the numerical grid depending on the mapping is given. For two especial cases of the towel shaped region, corrsponding results are presented. Finally, some examples are given showing the generation of numerical grid.