二维及三维贴体网格的一种生成方法

本文讨论了二维及三维情况下应用Ｌａｐｌａｃｅ方程生成贴体网格的方法，并应用ＡＦ１格式求解方程以大大加速迭代收敛的速度，对于二维及三维情况，分别讨论了相应用Ｄｉｒｉｃｈｌｅｔ边界问题解法。对于二维情况，还讨论了翼型的Ｏ－、Ｃ－和Ｈ－型三种典型的网格生成方法。着重讨论了有关割缝上的网格点的处理方法，以保证网格的光滑性。三维情况下，以简化航天飞机外形为例，讨论了网格的生成方法，尤其着重讨论了边界点的处理

Tehnique for Two and Three-Dimensional Body-Fitted Grid Generation

The using of Laplace equations to generate two-and three-dimensional body-fitted grid system is given in the present paper,and the AF1 schemc is uscd to improve the convcrgence of itcration process.The corresponding Dirichlet boundary vaIue problems for two-and three-dimensional cases are investigated first.For the two-dimensional case,the typicaI O-,C-, and H- grid systems are discussed in soME details,with special attention paid to the grid on the cuts to insure the smooth-ness of the grid lines there.For three-dimensional case,the body-fitted grid system for a simplified space shuttle geometry is shown. Special treatment for those grid points on symmetric plane,on the axis,and on the bottom surface is discussed,so that the grid system possesses good quality on the boundary,as well as inside the field.