Abstract: A two boundary algebraic method was developed to generate 2 D grid system within geometrically complex 2 D plane domain. The orthogonality near boundaries can be realized by introducing the first order derivatives of the boundary curves into the transfinite interpolation function. In order to prevent the deformation of the physical domain, the geometrical consistency conditions were used. In addition, a set of stretching functions was derived to adjust the space at the desired location. The usefulness of the method developed was demonstrated by using it to generate a satisfying grid system for nozzle interior field, and its effectiveness is significantly better than the differential equation method.

Key words: Grid generation;Nozzle;Folw feild;Two dimensional grid;Body fitted grid

摘要： 用一种双边界代数方法生成二维网格 ,通过在超限插值函数中引入边界的一阶导数实现网格与边界的正交 ,采用几何一致性条件保证物理区域不变形 ,发展一系列拉伸方程控制网格在边界或给定位置的间距。应用此方法生成了满意的喷管内流场网格 ,网格生成效率明显优于微分方程网格生成方法。

关键词: 网格生成;喷管;流场;二维网格;贴体网格